diff --git "a/data/dm_maths/full_data_2/1697_11255.jsonl" "b/data/dm_maths/full_data_2/1697_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1697_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l = -69 + 71. Suppose l*f = -6, -5*f - 10 = 3*a - 2*a. Suppose a*t = -t + 18. Solve 5*v = o + 2*o + 30, 0 = -5*v - t*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24237 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 0.5. Let j = n - 0.6. Let w = 0.3 - j. Which is the biggest value? (a) w (b) 0.4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 2\/39 (b) 1\/7 (c) 1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 4*k**2 - 2*k + 13. Let s be a(4). Let r = 50 + 90. Suppose 3*t - r = -t. Solve i - h = -3*i - 3, s*i + t = -5*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (5 + -1)) + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316.2 + 0.1.\nAnswer: -316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181852493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 458 and 78.\nAnswer: 17862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 2, s: 1, k: 1, n: 2, o: 6}. Give prob of sequence lqk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1708, -3\/8 in ascending order.\nAnswer: -2, -3\/8, 1708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 393, 1, -176 in descending order.\nAnswer: 393, 1, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 0.14 (c) 4\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*3)\/(2*sqrt(40)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 1 + -2.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-126)*-3*1\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -61, 0, 20, -274 in decreasing order.\nAnswer: 20, 5, 0, -7, -61, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0*n**2 - 3\/2*n**5 - 6*n**4 + 0 + 18*n**3.\nAnswer: -3*n**3*(n - 2)*(n + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 9. What is the remainder when 17 is divided by (8 - 3)*n\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3992\/15 smaller than 4\/531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 26768*f**2. Let q(v) = 136*v**2. What is b(q(p))?\nAnswer: 495100928*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43975\/6 + -7345. Let u be 1 + 2\/(72\/(-614)). Let y = u - g. Which is the closest to 0.07? (a) 0 (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i + 54. Let d be (-42)\/70 - (-1266)\/10. List the prime factors of 1\/i + 5404\/d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 + 932*v**3 - 22912*v**2 + 162640*v - 307200 = 0.\nAnswer: -256, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 4*x + 0*x + (0 - 4 + 2)*(0*x + 0*x + 2*x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2))\/sqrt(7) + 2*sqrt(8))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81d2 + 5?\nAnswer: -81cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26 - 23)\/((-31)\/2 - -2). Which is smaller: 3\/125 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*i**2 - 45*i - 14935.\nAnswer: -134*i - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/8 - 17*o**3\/2 + 18*o**2 - 2*o. Let h be f(-18). Solve -h*n = -5*g - 0*n - 11, 0 = -3*g + n - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 + 2*y**3 - 3*y**2\/2 - 7*y - 4. Let m be i(-5). Suppose 51 = g - 5*w, -g + w + m = 2*w. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 4, k: 3, u: 1}. Give prob of picking 2 x and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-38\/7)\/(r**(4\/3))**32 assuming r is positive.\nAnswer: r**(-1735\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-5 + (sqrt(132) + (sqrt(132)*1 - sqrt(132) - sqrt(132)) - sqrt(132))\/(sqrt(3) + sqrt(192)\/sqrt(4)) + 5))**2.\nAnswer: 1584\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528468192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 679*h**2 - 54 + 4111*h**2 to the form f*h + o + v*h**2 and give v.\nAnswer: 4790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*c**5 - 3*c**3 - 4*c**2 + 27.\nAnswer: -1680*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:10 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 57*f - 118*f + 59*f + 10 - 3*f**2. Suppose 0 = 4*l - 4*q + 32 + 12, -2*l + 7*q = 37. What is y(l)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24336b (base 12) to base 15\nAnswer: -b8ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 36. Solve -3*f + i*a - 5 = 0, 1 - 6 = -4*f - 5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3*y**5\/20 + y**4\/4 - y**3\/3 + 2. Find a, given that z(a) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 88 = 138 - 80 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4 - 4 + y + 0*y + 5*y - y + (0*y + 2*y + 0*y)*(-2 - 2 + 3).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 9295 = -3*t, -3*t = 9. Let x = 153458\/33 - s. Find the common denominator of x and -13\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -28*l**5 - 292*l**4 + 980*l**3 + 5028*l**2 - 6552*l - 21600 = 0.\nAnswer: -12, -3, -2, 3, 25\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321848*m**3*o**2 - 167146*m**3*o wrt o.\nAnswer: -643696*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {j: 1, k: 5, g: 14}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81669032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 2*h + 99. Let q be c(0). What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029083 rounded to seven decimal places?\nAnswer: 0.0000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002423654 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 5*j = 40, -4*d = -5*j - 33. Let f be d\/((-644)\/(-8)) + (-824)\/(-46). Solve -11*s - 7 = -f*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103096087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 204 = 342 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:05 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 75.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 2*m + (1 - 2 + 4)*(2 - 2 + m) + (-4 + 4 - 5*m)*(-21 + 23 + 11)*(-3 + 4 + 1) - 14*m - 18*m + 25*m in the form n*m + z and give n.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + 2*sqrt(38)\/sqrt(2)).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 4, -1\/10, -23, -2.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3832 divided by -1916\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 37*h + 26. Let d be j(17). Let r(g) = g**2 + 7*g + 118. What are the prime factors of r(d)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -400 and -362 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -35. Solve 3*j + 18 = -3*x, j + 3*j - 4*x = -b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 + -37 + 2*3. Which is the biggest value? (a) r (b) 2\/11 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 833*p**4*x - 3*p**4 + p**3*x - 529*p**2 + 186*x wrt p.\nAnswer: 19992*p*x - 72*p + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518128 and 18236?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 979415 times -0.1\nAnswer: -97941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 1, c: 4, h: 2}. Give prob of sequence lhk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -161\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1686245 and 9460.\nAnswer: 6744980","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 + -5)\/(15\/(-100)). Suppose 0 = 2*x - a - t, 5*x + 3*a - 253 = 136. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -9 - ((1 - -4) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okf when three letters picked without replacement from {o: 1, v: 5, t: 2, f: 3, k: 8}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*v**4 - 3*c**2*v**2 + 3778467*c*v**4 + 20577*v**2 + 6 wrt v.\nAnswer: -24*c**2*v + 90683208*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95\/24*756\/189*(-4)\/10?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let y(m) = 14 - 6*m - 15 + m + 2. Determine y(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 27*w - 651. Calculate the remainder when w is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1229593 (base 14) to base 5\nAnswer: 4212122241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = -2*q + 17, 4*q - 24 = -4*z. Suppose 4*u + 18 = t, t + 4*u - 2*u = 6. Calculate the remainder when t is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-350)\/(-60) + (-1)\/(-6). Let q(s) = -481*s**3 - s**2 + 25*s - 118. Let k be q(i). What is k rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29808919919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -551 + -155?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25875f + -7?\nAnswer: -258766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6) - (-294)\/126)\/((-8)\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 + 981*h\/4 = 0. What is h?\nAnswer: -981, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -258*r**5\/5 + r**4\/12 + 82*r**3\/3 - r**2 - 919*r + 2. What is the second derivative of n(l) wrt l?\nAnswer: -6192*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2687328\/(-66))\/(-6) - 2\/11. Find the third derivative of o*g - g**2 - 6786*g + 6*g**3 - 8 wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.46 times -0.7?\nAnswer: 55.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzqz when four letters picked without replacement from {q: 9, z: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/24 and -22\/111.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607752672 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 345\/27)\/(12\/84)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 14*q + 579222 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2) + (-2338)\/84 + 25. What is the nearest to 9 in -9, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -78. Let x = g - -27.03. Which is the nearest to -2\/3? (a) -5 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 236 - 231 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2317655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 + 1653*m\/8.\nAnswer: -m*(m - 1653)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*h = -2*i + 752*h + 24, 4*i - 5*h + 33 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 21. Let x(u) = -3*u - 10. Calculate -6*f(s) - 11*x(s).\nAnswer: 3*s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxbg when four letters picked without replacement from vxvbbzzzgbn.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754068208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*n**3 - 200*n**3 + 91*n**3 + 22853 - 22853.\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 471 + -471.4. Which is the nearest to 1? (a) x (b) -0.3 (c) -0.13 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*45*((-390)\/26)\/90?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096502837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.01 + -18. Let t = s + 0.08. Let l = 1.43 + t. What is l rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2550, -2769, -3148, -3693, -4410, -5305, -6384, -7653?\n\"Answer: -m**3 - 74*m**2 + 10*m - 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 34 = 13*x - 17*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 5)*(-1 - 4 + 4) - 5 + 2 + 5)*(7*x**4 - 5*x**4 + 5*x**4) to the form f*x**2 + u + c*x + b*x**4 + h*x**3 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, z: 2, d: 2, r: 1, w: 1}. Give prob of sequence zd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - j)*(-211*j**2 + 108 - 108)*(16 + 23 + 3 + 17 - 15).\nAnswer: -9284*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73274222 - 3451.6.\nAnswer: 73270770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 48 = -r, -5*r - 3*l + 59 = -173. Suppose 6*y - 2*y - r = 0. Solve 3*i - 4*d + 3 = -6*d, -2*d = -5*i + y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**2)\/h)*h)\/(h\/(h\/(h*h**(-22)))))**(2\/15) assuming h is positive.\nAnswer: h**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431061 is divided by 2431058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 - 263*c**2 - 44*c - 1504. What is y(66)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4540 or -739908\/163?\nAnswer: -739908\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a**2 + 3*a)*(81*a + 277 - 277) - 2*a**3 + 5*a**3 - 2*a**3.\nAnswer: -161*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = o + 5*f + 394, -f + 8 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2636*t + 5284*t - 2649*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c**2 - c**2 + 0*c**2)*(-2*c**2 - c**2 + c**2) + (3*c**3 + c**3 - 5*c**3)*(6*c + 37 - 37))*(-c + c + 3*c).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 2*i + 3. Let n = 25 - 20. Let u = n + -1. Suppose -5*a = 5*b, -12 = a - u*a + 3*b. What is h(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 693 = o + 4*x + 98, -5*o + 2943 = 4*x. Suppose -8764 + o = -13*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 294*a**4 + 864*a**3 - 8*a**2 - 1152*a = 0 for a.\nAnswer: -144, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, -65 = t - 6*j + j. Calculate the common denominator of 4 - 24*3\/((-756)\/t) and -32\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301744804?\nAnswer: 2, 113, 667577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-192)\/(-54))\/((-16)\/(-24))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87886 + -615197\/7. Factor 0 + 0*a + 1\/7*a**4 + r*a**3 - 2*a**2.\nAnswer: a**2*(a - 2)*(a + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 27*(3 - (-8)\/(-4)). Let m = n - 7. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3129\/80 - -373\/10. Calculate the common denominator of 103\/10 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-215)\/10*2)\/(1\/(-9)). Let d = 1603 - q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = x + 4*x - d, 0 = -x + 4*d + 4. Let g(s) = 6*s**3 - 3*s**2 - 3. Let j(p) = -17*p**3 + 8*p**2 + 8. Give x*g(z) + 3*j(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*u**2 + 229*c*u - 384*c + 30*u**3 - 98*u**2 - 6*u wrt u.\nAnswer: -4*c + 180*u - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 0.07995566?\nAnswer: 1.83898018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29606 is divided by 322.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000011201 (base 3) in base 2?\nAnswer: -1001101001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 10584 = 17*l. Let t = 3382 - l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - -1) + -1 - -3) + 8 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2769, -471, -4, 1.\nAnswer: -2769, -471, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 110 = -5*c, 80 - 1358 = 53*d - c - 4 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24308, -48612, -72916, -97220, -121524?\n\"Answer: -24304*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1065, -2079, -3045, -3963?\n\"Answer: 24*d**2 - 1086*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1014*r - 275*r + 215*r + (-2 + 3 + 2)*(r - r - r).\nAnswer: -1077*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1, -5, 1.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -10)\/(12\/(-18)). Solve -12*f + 9*f = r*j + 18, 0 = f + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45 + 3204\/(-90) + 3*-1. Suppose 0 + 0*i - 2\/5*i**2 + 16\/5*i**3 - a*i**4 = 0. Calculate i.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 104*g**3 - 76*g**2 - 600*g.\nAnswer: -4*g*(g - 25)*(g - 3)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -12. Suppose -12 = 23*g - a. Let u(f) = -3*f - 1. Let x be u(-1). Solve x*o + 2*o = g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 y when three letters picked without replacement from {t: 1, q: 3, y: 5, h: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 4, c: 2, v: 2}. What is prob of picking 2 h and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k = 60*k + 8*i, -2695*k + 3*i = -2695*k + 12 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -26.5?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1082, -1002, -820, -500, -6?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 o when three letters picked without replacement from {z: 1, x: 1, q: 2, o: 1, j: 2, e: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 57887097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2)\/((-13555)\/(-54244) - 46\/184) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:09 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3672*d - 37538 + 21782 - 24636 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7640078 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - t, -22 = -2*k + 3*t - 6. Suppose 0 = -5*z + z + 56. What is the smallest common multiple of k and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 17*n**5 + 19*n + 43. What is the first derivative of u(t) wrt t?\nAnswer: 340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 31. Let m be d(-3). Let j(i) = m*i - 2*i + i. Let u(s) = -s**2 - 3*s**2 + 2*s**2. What is j(u(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6500 divided by -1.\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 2*j)*(-10*j + 10*j - 4*j**3) + 3*j**2 + 3*j**4 - 3*j**2.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-16) - (-46)\/8. Let v be (-108006)\/18 + 2\/w. Let j = -131955\/22 - v. What is the common denominator of 49\/10 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984810 to the power of 1\/2, to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236 - 12130?\nAnswer: -12366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*k**3 - 35*k**3 - 74*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + 157. Let m = b + 251. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q - 550 - 1151 = 53*q. Is 104 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -96*k + 16*k**2 - k**3 + 2*k**3 + 91*k + 15. What is the tens digit of p(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79\/196 or 1?\nAnswer: 79\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 661 - 4619\/7. Sort 4, 0.1, 1\/3, z in descending order.\nAnswer: 4, z, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875 - 3823174\nAnswer: -3822299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 3*i - 36. Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 20*n**2 - 43*n + 22. Let f be b(-22). Solve 0 = -2*v - 2*u, 4*u + f*u = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -161. Suppose z*c = 158*c + 30. Let b(n) = n**2 - 8*n + 5. Give b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -869724\/11 - -79130. Let f = h - 64. Factor 14\/11*d**4 + 30\/11*d**2 - f*d - 4\/11 - 38\/11*d**3.\nAnswer: 2*(d - 1)**3*(7*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. What are the prime factors of 354\/y - (-3)\/6?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:36 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770907.\nAnswer: 3, 29, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1694) + -1*sqrt(1694))\/(sqrt(288) + sqrt(288)*-2) + 1 + (sqrt(28)\/sqrt(4) + -3 + sqrt(28)\/sqrt(4) + 4)**2.\nAnswer: 4*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**3 + 15*o**3 - 2*o**3 + 4*o**3 + o**3 - 3*o**3 + (0*o**2 - 3*o**2 + 4*o**2)*(-2*o + 3*o + 0*o) + o - o + 3*o**3 - 6*o**3 + 2*o**3 + 3*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 296, -8 in descending order.\nAnswer: 296, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27670 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103264115, 206528235, 309792355, 413056475, 516320595, 619584715?\nAnswer: 722848835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -467. Let c = n + 181. Solve -4*y + 6 + 4 = 2*a, -a = -y + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i + 52*i + 18*i - 1804 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(11\/3)\/z)\/z)\/(((z\/z**(-2))\/z)\/z))**(3\/28) assuming z is positive.\nAnswer: z**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126792 and 9.\nAnswer: 126792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + t = 19, -4*v - t - 5 = -7*v. Suppose -f + 8 = 3*h, 3*h + 511*f - 506*f - 16 = 0. Sort h, 0, -5, v in increasing order.\nAnswer: -5, 0, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, -24 in decreasing order.\nAnswer: 4, 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 10*a**2 + 14*a + 19. Let c be p(8). Suppose -4*j + c*w + 2 = -22, w = -4. Let v(t) = 3*t + 3. Calculate v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-351 - -302) + 1 + 36?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -3, -60, -0.01, -22\/5?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b61e77 + 1?\nAnswer: -6b61e76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + i**2 + 2*i + 25. Let f(n) = 10*n**3 + 3*n**2 - 165*n + 4803. Let g(u) = f(u) - 4*q(u). Differentiate g(c) with respect to c.\nAnswer: 6*c**2 - 2*c - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 223*c - 10 + 224*c - 452*c + 3. Determine n(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 + 44*a**2 - 11*a**2.\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40780 - 35782. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/2 - 271*u**3\/2 - 114315*u**2 + 2324950*u - 11687500 = 0.\nAnswer: -374, 10, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 6195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12500557 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1700) + -3*(sqrt(1700) - (sqrt(1700) + 0)) - 4*sqrt(1700)*-1)*2 - (1 + sqrt(1700) + 3 - sqrt(1700) - (-1 + sqrt(1700))*-6)))**2.\nAnswer: 1440*sqrt(17) + 244836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 5\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6113?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134188?\nAnswer: 2, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5643\/6 - (-5)\/10. Let u = 20364 + -97062\/5. Let r = k - u. What is the common denominator of r and 14\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z - 3 - 45 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13064237 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 401 = -4*x. Suppose -x = f - 5*f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825349 is divided by 86921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 299257999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)\/(10\/(-75) + 0). Let h = 12 + x. Sort h, 3, 2 in decreasing order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 3*j**2 - 4*j - 2. Let u(z) = 3*z**3 + 7*z**2 + 9*z + 5. Let n(x) = -5*o(x) - 2*u(x). Find b, given that n(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 4*i. Suppose -5 = s - 3. Let v be (5\/s)\/(-2 - 0). What is the nearest to -0.1 in -4, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1015 + -949. Suppose -a = -3*a. Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14009 - 8?\nAnswer: 14001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 4127800*m + 4259683210000 = 0. What is m?\nAnswer: -2063900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 11 = 4*y - 25, 0 = 2*y + 2*i - 26. Let w = y + 5. What is the highest common factor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (0 - (8 - 3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 75*n**2 + 157*n + 256. Calculate the lowest common multiple of 3855 and a(-77).\nAnswer: 19275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.01 (b) 0.5 (c) -4890\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:12 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4) - 5\/2) + 276. Suppose d - 3*y = 319 - 49, y = -d + q. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 17 + (13 + -2 - 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/6)\/((-11319)\/(-9702))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 14 = 40*g. Let m be (49\/140)\/7*5\/g. Let u be (-2 + (-24)\/(-10))\/(-2). What is the third biggest value in u, 2\/3, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by -254\nAnswer: -423\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.1, -1\/4, 2\/3, 12.7 in ascending order.\nAnswer: -1\/3, -1\/4, 0.1, 2\/3, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2422*w**3 - w**2 - w + 12. Suppose 2*b - 4*b - 4 = 0. Let g be b\/(-8) + (-105)\/(-28). Let z be y(g). Round z to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 1 (c) 2\/35 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 314?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 2\/11 (b) 2 (c) 22 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaqzzzzq. Give prob of picking 1 a and 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 45 + 37 + 4*z)*(0*z**4 + z**4 + 0*z**4).\nAnswer: 4*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 30 + 8 + 4*l**2 as r*l + o*l**2 + z and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055903716.\nAnswer: 2, 3, 47, 211, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.67350585?\nAnswer: 5.67350585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (4\/(-2) - 0). Suppose 5*y - 2*o - 3*o = -15, -y - 2*o - 6 = t. Let i = y + 8. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - l**3)*(-2*l + 2*l - 2*l) + 104*l**2 - 47*l**2 - 67*l**2 - 62*l**4 + 0*l**4 + l**4 + 0*l**4.\nAnswer: -59*l**4 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -119.\nAnswer: -4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187559*g**3 + 375132*g**3 - 187576*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 27*u**3 + 330*u**2 + 5*u + 5. Let t(w) = -w**2 + w + 1. Let a(l) = 5*t(l) - v(l). Find the third derivative of a(y) wrt y.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b. Let o(h) = h - 1. Let t(m) = 3*m**3 + 35*m**2 + 22*m + 1. Let x be t(-11). What is x*c(g) + 2*o(g)?\nAnswer: -12*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 329832338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(153) - ((sqrt(153) + 0)**2 + 0)) - 1*(5 + sqrt(68)*1).\nAnswer: -163 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*q + 72994 = -1893, 20*f + 3*q - 299444 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-186)*(-117)\/78.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 20\/80*(163 + 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/36)\/(9\/(-24)*-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15484674 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -591283\/73404 + -3\/8156. What is the common denominator of 3 + (-5)\/(-50) - 3 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) 23 (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.11742 + -0.11742. Which is the third biggest value? (a) -2\/29 (b) -3 (c) 582 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 355 - 0?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014775 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0 + 2\/3*m**3 - 7\/2*m**2 + 6*m. Find the first derivative of h(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58975?\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1944 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 (base 10) in base 12?\nAnswer: -8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-30)*10\/(-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 23. Let j = h + -6. Let r = -79 + 79.4. What is the fourth biggest value in 3, j, r, 2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(3 + h - 3)*(-2*h + 3*h + 2*h) as c*h**2 + r + j*h and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**4*h*h*h\/(h*h*h**(-5)*h)*(h\/((h**1*h)\/h)*h)**(-9) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10 + 25 + 4 + m**2 + 35*m + 0. Let h be o(-34). Sort -4, h, 0, 3 in descending order.\nAnswer: h, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1825125 and -109\/2676850.\nAnswer: 40152750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 0.4539 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 17 = 23. Solve -16 = -y - 4*t, 0 = 5*y - 5*t + u*t - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**3 + 4*v**2 + 3*v - 1. Let l be b(-1). Sort -3, 36, l, 3 in increasing order.\nAnswer: l, -3, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 13. Suppose -4*g = -6*g + 64. Let j = -34 + g. Which is the third biggest value? (a) j (b) m (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 s when four letters picked without replacement from cwwscsofscswoso.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**7\/840 + x**6\/120 - x**5\/60 - x**4\/8 + x**3\/3 + 4. Let y(w) be the third derivative of u(w). What is y(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4427826*f**3 - 14*f - 44082 wrt f.\nAnswer: 26566956*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1397 - -1423. Which is bigger: 6\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + k + 2*m + 3, 5*k = -4*m - 13. Let h be 2\/(k - 56\/3 - 1). Is 0 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 39*q + 189*q**2 - 12*q - 78*q.\nAnswer: (9*q - 2)*(21*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -685 - -677. Is 23 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5604.3368 to the nearest 10.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -59, -63, -47, -5?\n\"Answer: u**3 + u**2 - 28*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -426021 > -426057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.06, 65, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -13, -30, -53?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**3 + 0*z**3 + 2*z**3 - 1 + 3 + 0*z**3 + (-22*z**2 + 13*z**2 - 9*z**2)*(2*z + z + 0*z))*(1 + 2*z**2 - 1).\nAnswer: -108*z**5 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*z - 36 = -79*z. Suppose 0 = -8*y + z*y - 74. Suppose d = -2*h + y, -4*d + 5*h = 3*h - 256. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49687055, -49687052, -49687039, -49687010, -49686959, -49686880?\n\"Answer: n**3 - n**2 - n - 49687054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -708, -697, -672, -627, -556, -453?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34200, -68399, -102598, -136797?\nAnswer: -170996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let u(w) = 6*w. Let q(h) = -h. Let x(c) = -15*q(c) - u(c). Give v(x(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0\/3)*0. Suppose 20 = 5*i - n*i. What is the third derivative of -3*t**5 + i*t**5 - t**2 - 2*t**5 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*m - 68 = 30, 4*a + 3*m - 392 = 0. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d + 2. Let q(k) = -2*k**2 + 3. What is q(o(j))?\nAnswer: -98*j**2 + 56*j - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 608065612 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 7. Let g(w) = w. Let r(x) = 6*g(x) - q(x). Let k be r(5). Suppose -s - k + 79 = 2*a, -32 = -a + s. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/10073 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -18.5, -49, -1\/3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 970\/11 equal to 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(5\/((-15)\/(-6))). Let h = s - 6. Let n be (2\/(-4))\/(h\/20). Solve z + n = -2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 36501?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/12 + o**3\/2 + 3*o**2\/2 + o. Let n be (5\/2 - 3)*-2. Let g be n*(-3)\/(9\/12). Determine u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242845 divided by 1?\nAnswer: -242845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11418 or 0.1?\nAnswer: 0.11418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8544*m**3 - 4268*m**3 - 4275*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 + 4*r + 3. Let m be j(-2). Let c be 1 + -2 + (0 - m). Put -0.5, -4, c in descending order.\nAnswer: c, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 13 = -5*w, 145*p = 148*p - 5*w - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 0*r**3 + r**3)*(-6*r + 1 - 1) - 7*r**4 + 23*r**4 - 5*r + 5*r**3 - 15*r**4.\nAnswer: 19*r**4 + 5*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -27, -34, -41?\n\"Answer: -7*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 16*r**2 - 1052*r - 6440. Calculate o(-6).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 12*s**2 + s + 14. Let v be m(-12). Suppose 5*r = -v*z + 53, -1 = 2*r - 7. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1678, -2866, -3596, -3868, -3682, -3038, -1936?\n\"Answer: 229*l**2 - 1875*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 - 302. Which is the smallest value? (a) -0.1 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - y + 23, 5*n = -2*y - y + 29. Suppose 0 = 3*o - n*o + 3. Let f = -4 + o. Does -1 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15326624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u, 0 = -z + 2*u + 3*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25102906 is divided by 334705.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3, -5*f + 1 = r - 4. Determine l so that 21 - 42467*l**3 - r*l + 42472*l**3 - 15*l**2 + 39 = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 198013, 204613, 211213, 217813, 224413, 231013?\n\"Answer: 6600*b + 191413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(336) + sqrt(21))*6 - (sqrt(2541) - -3*sqrt(2541)))\/((3*sqrt(21))\/sqrt(7) + (sqrt(972) - sqrt(27))))**2.\nAnswer: 343\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.9 * 1.18.\nAnswer: -51.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a**5 - 99295*a**4 + 5757370*a**3 + 18352540*a**2 + 14496680*a + 3233280 = 0 for a.\nAnswer: -2, -2\/3, -2\/5, 64, 1263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1203804852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.4, -3, -110, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2 (c) 3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 4 + 10)*(-3 + 1 - 4*j + 2*j) to the form i + r*j and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = v - 2384, x + v - 75 = -553. Let s = x + 22421\/47. Let o(r) = r + 5. Let g be o(-5). Is s > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*r**5\/2 - 8875*r**4\/2 + 257499*r**3\/2 + 538507*r**2\/2 + 135181*r - 1020 = 0 for r.\nAnswer: -51, -1, 2\/269, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -448, -477, -528, -607, -720, -873?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, a: 2, k: 1, s: 7, d: 4, v: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40604401807 plus -296?\nAnswer: -40604402103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = y + 30 - 6, -2*y = 5*g - 27. Calculate the remainder when (-8 - -4) + y + 10 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/(v**(-2\/13)\/v))\/(((v*v**8\/v)\/v)\/v**(-2\/21)) assuming v is positive.\nAnswer: v**(-7837\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91305 > 91312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 5. Let h(i) = -2*i**3 - 53*i**2 + 101*i + 3423. What is the remainder when h(-26) is divided by j(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n = -107*n - 147*n - 7128 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*s + 1. Let u(j) = 5 - 7*j + 3 + 6*j**2 + 2*j + j**s. Calculate u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8303408 and 131\/3113778.\nAnswer: 24910224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x**2 + x - 5. Calculate the remainder when 24 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -41*z**2\/2 + 3. Let h(i) = 11*i**2 + 6. Let b(c) = 31*c**2 + 17. Let p(g) = 6*b(g) - 17*h(g). Calculate v(p(n)).\nAnswer: 41*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*s - 179*s + 91*s)*(14 + 12 - 7).\nAnswer: -76*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011000011000000 (base 2) to base 13.\nAnswer: -3b56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*(-96)\/8 + 4. Solve -2*t = 2*t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60425 divided by -60425?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 9*k**2 + 20*k + 25. Determine j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(34 + -32)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601546 is divided by 1334.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 6900. Let p be x(0). Let m = p - 55127\/8. Calculate the common denominator of (-620)\/220 + 1\/(-2) and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)\/(d*d*(d\/(d**(4\/3)*d))\/d))\/(d**4*d*d**21) assuming d is positive.\nAnswer: d**(-1004\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25784450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/11 - 12883058*c\/11 - 38649192\/11 = 0.\nAnswer: -3, 6441532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 409, 599, 789?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**4*q**0*(q**5\/q)\/((q**2*q)\/q) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 1. Let t(b) = -3*b + 1. Let s(r) = 10*i(r) - 6*t(r). Let v(j) = -3 + 2 - j + 3. Give -4*s(q) + 7*v(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 + 10?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -152*n + 61. Let p(o) = 372*o - 152. Determine 12*m(b) + 5*p(b).\nAnswer: 36*b - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2708700 and -169\/360?\nAnswer: 16252200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11752 - (0 + (-6 - 7)). Calculate the greatest common factor of 130 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/5)\/a*a*(a\/a**20)\/a*(a*(a*a**(-5))\/a)\/(a\/(a\/a**(10\/3)*a)) assuming a is positive.\nAnswer: a**(-383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/41))\/q**18)\/((q*q**(-2\/11))\/(q\/(q\/(q*q**(3\/8))))) assuming q is positive.\nAnswer: q**(-59151\/3608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 329. Suppose 4*s - g = 2*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -52, -88, -138, -208, -304, -432, -598?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from onoojoxojojojxnnooxx?\nAnswer: 27\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/7, -14, 4, -362?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*r + 10, -4*r = -4*y - 3*r + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1013372*z**3 - 2973933*z wrt z.\nAnswer: 6080232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -104140000 to the nearest 1000000.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/13 - 1218*v**4\/13 - 31476*v**3\/13 + 694388*v**2\/13 - 1990926*v\/13 - 208890 = 0. What is v?\nAnswer: -39, -1, 5, 11, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i*i**(1\/3))*(i*i**(-4\/5))\/(i\/(i**6\/i)))\/(i*i*i**(-5)\/i*i*i*i**0\/i)**(-4\/5) assuming i is positive.\nAnswer: i**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14433110 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Let j(p) = -p**3 - 4*p**2 - p + 1. Let k be j(o). Let c = 8 + k. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -5, -1\/9, 139\/4, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 3*o - 14. Let y be l(-7). Suppose 3*d + 2*k - 59 = 0, d + d - 5*k - y = 0. Let s = 57 - d. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i + 91. Let p be q(-10). Let h be 5 - (-7 - (p + 4)). What is the highest common factor of 221 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -46*o + 40 + 3*o**2 - 2\/3*o**3. What is the derivative of f(n) wrt n?\nAnswer: -4*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/73 in -3, -1\/3, 151\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from udi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*35\/(6615\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1430580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2001*t + 2005*t - 3300. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -92 + 2\/4 + -15 + (-205)\/(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61091176?\nAnswer: 2, 7636397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1955947 at least -1955821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 + -0.1. Let v = -1 + 6. Let j = v - 5. What is the closest to j in -0.5, -5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 69*o + 2275. What is d(25)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*l - 3, -5 = -2*c - 3*c - 5*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 39. Let n = 3 - p. Let s be 4\/n - (-4)\/14. Solve s*t + 1 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -37 - (-34 - -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - 184\/(-69). Let i = -23 + 26. Let a be (-2)\/(9 - 3)*i. What is the fourth smallest value in 4, a, g, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4467, 4554, 4641, 4728, 4815, 4902?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -1059, -2599, -4747, -7497?\nAnswer: -10843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - (sqrt(20) - sqrt(500)*-5)))\/((sqrt(90) - ((sqrt(90)*-1 - sqrt(90)) + sqrt(90)))\/sqrt(9)).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -22*h**3 + 10*h**2 - 9*h + 2. Give t(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116861629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4101 (base 5) to base 9\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, a: 1, y: 1, x: 2, l: 9, k: 1}. Give prob of picking 1 a and 1 f.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 54*u = 72, 4*u + 9 - 27 = 2*i + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 7332?\nAnswer: 36660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 + 80*v**2 - 6*v + 50.\nAnswer: -6*v + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*c**4*d**2 + 1398*c**3*d**2 + 180*c*d**2 + 226*c*d wrt c.\nAnswer: -240*c**2*d**2 + 8388*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1080077*m - 3240268. What is c(3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/19)*z*z**(2\/11)*z)**5)**(11\/9) assuming z is positive.\nAnswer: z**(650\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -123, -185, -245, -303, -359, -413, -465?\n\"Answer: n**2 - 65*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 173. Let g(t) = 14*t. What is g(a(p))?\nAnswer: 14*p - 2422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from -216.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - (7 - 5)) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*m + 7650 - 11106 = 0 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5334? (a) -0.16 (b) -4 (c) 0.04 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - 20. Let r = -34 - a. Suppose -2*p = p. Solve r*i + 0*i = p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/4 (b) 29\/8 (c) 3\/7 (d) 4\/7 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 73.9, -49, 3\/8, -4.1?\nAnswer: 73.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 245 = 281. Suppose 3*b - 6 = m, 24 = 3*b + 8*m - 3*m. Let p(d) = b*d + 2*d**2 - d**2 + d**2. Give p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 times -1774?\nAnswer: -377862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1052801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-39)\/54)\/((-10)\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:31 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -3 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = -27 - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -958.675.\nAnswer: -3834.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*f + 5 = 0, 0 = -3*u - 4*f + 3. Let y = u - -1. Calculate the lowest common multiple of y and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 19*s**2 + 2*s - 18. Calculate the smallest common multiple of w(19) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 83.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**3 + 3 - 37*r**3 - 3 + 4*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 2*w + 1 + (0*w - w + 0*w)*(-3 + 6 - 1) + 23*w - 143 + 143)*(69*w**3 + 285*w**3 - 39*w**3) to p*w**4 + i*w**2 + a*w + c + q*w**3 and give q.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i + 1486*i**3 - 2*i + 1 - 1485*i**3 to the form f*i**2 + l*i**3 + r*i + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -86) + -1244 + 1195.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:23 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35597 - -1388281\/39. Let k be -2 + 9\/(-7) + 3. Which is the closest to s? (a) -0.2 (b) -3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.379\nAnswer: -0.1895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*z - 1957*z + 82*z.\nAnswer: -2108*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 3 - 2 - 73*i.\nAnswer: -73*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*(1 + sqrt(3)) - sqrt(18)\/(sqrt(12)\/sqrt(2))) + 3)**2*-5.\nAnswer: -10845 - 5040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6787467 divided by 9.\nAnswer: -754163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305 + 431250054?\nAnswer: 431245345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813 take away -0.04?\nAnswer: -1812.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 7*h + 6. Let w be n(6). Let b(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 + 13*l + 1. Is b(w) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 68. Let x = y - -65.16. What is x rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3, 1\/4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136732.7777 + 136742. What is u rounded to 1 dp?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13678777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 14 - 2 - 21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70875\/(-2646) + (-18)\/84?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - o**2 + 3*o + 5. Let n(a) = -4*a - 40. Let w be n(-10). Let b(q) = 12*q + 72. Calculate the remainder when b(w) is divided by r(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/11 - 652*l**2\/11 - 1310*l\/11 - 656\/11.\nAnswer: 2*(l - 328)*(l + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277824 is divided by 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymymayyyyyymmiym. Give prob of picking 2 y and 1 m.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5200 and 257550800?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 16, 3*v - 2*o = 8*v - 1358. Suppose 0 = -3*h - q + 754, -3*h - 5*q + v = -2*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*x**3 - 18*x**3 + 82*x**2 - 82*x**2 - 6*x wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-8)\/6. Let t = 0.5 + -0.3. Sort r, t, 0.5 in increasing order.\nAnswer: r, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20.3 in 14387, 5, 2, 0.5, 0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43347846?\nAnswer: 2, 3, 7224641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11926193989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 258 = 3*x. Suppose 3*o - 249 = 4*d, -3*o + 32 = d + 113. Let u = d + x. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + 44 + 8 - 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**4 - l**3 - 56*l**2 - l wrt l.\nAnswer: 96*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 877013*m**2*z**2 - m**2 + 18929916*z wrt z?\nAnswer: 1754026*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2498 - 2428 - (6 + 2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13133*g*n**2 - 2*g*z - 3274*n**2*z - 59*n + 43 with respect to g.\nAnswer: 13133*n**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1160 - 1165. Let f be (2008\/6)\/4 + -2. Let l = f + -81. Which is the biggest value? (a) z (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -31*r. Let o(c) = -28847*c. Determine o(a(t)).\nAnswer: 894257*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 - 13*x**4\/12 - 4*x**3 - 15*x**2\/2 + 8*x. Calculate the lowest common multiple of 28 and b(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-10\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91016 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5966?\nAnswer: 2, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*(-402)\/268?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(63\/84 + (-38)\/56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/19 - 731342*g**2\/19 + 1462690*g\/19 - 731346\/19.\nAnswer: -2*(g - 1)**2*(g + 365673)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {i: 3, q: 1, l: 3, z: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 423146 - 615446. Round p to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8432 is divided by 272.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1317 = -2*n - 390, r = 4*n - 1863. Let a = n - 232. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:48 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2044341 and 182169?\nAnswer: 18399069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*c + 27 = 105, -36 = -2*b + 4*c. Suppose b*j - 17*j + 1208 = 0. What is the units digit of j\/9 - 36\/162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgt when three letters picked without replacement from {v: 2, n: 2, t: 7, g: 1, q: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-5 - -4) - 0. Which is the second biggest value? (a) d (b) -13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*c - 520 = -338*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f + 2*c, -5*c + 8 + 7 = 0. Factor 4*l**2 - 4*l + 8*l + 6*l**3 - 14*l**f.\nAnswer: 2*l*(l - 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1, 2\/7, 460?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 489.79 - 492. Let j = v - -2. Let i = 0.01 + j. Which is smaller: -11 or i?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*(u\/(u\/(u*u**(-2\/7))))\/u)\/(u*u\/u**(-3\/8)*u*u))**20*(u**(-2\/5)\/(u\/((u\/u**(2\/5))\/u)))**(-13\/3) assuming u is positive.\nAnswer: u**(-1779\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -2 (c) 1011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 977532934 + -65?\nAnswer: 977532869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b + 791884*b**2 - 17*b**3 - 7*b - 791869*b**2 - 9. Let v(s) = -9*s**3 + 7*s**2 + 4*s - 4. What is -4*l(t) + 9*v(t)?\nAnswer: -13*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 - 24*h + 9. Is w(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x + 1. Let l be w(-2). Let o be (-10128)\/(-20) - (-3)\/l. Suppose 2*v + 53 + o = 0. Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.33 + 58.33. Let h = 61 - x. Which is the fourth biggest value? (a) -3 (b) 1\/5 (c) h (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + -84. Suppose 2*y - 101 = x + 75, k = 3*x + 6. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -101*x - 617. Calculate m(-10).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 5*u - 12. Give t(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1 - -3)*(120\/320 - (-39)\/24). Factor 8\/5*n**3 + 8\/5 + 21\/5*n**a + 1\/5*n**4 + 22\/5*n.\nAnswer: (n + 1)**2*(n + 2)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 549650039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010221001201 (base 3) in base 10?\nAnswer: 3265966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1016 divided by -1016\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x**2 + 3*x**2)*(9 + 0 + 18*x - 8).\nAnswer: 18*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -212010020120220 (base 3) in base 4?\nAnswer: -232313300103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let z(n) = 1725*n + 17278. Calculate z(j(k)).\nAnswer: -3450*k + 17278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:36 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15110*s**2 + 2 - 3*s - 64*s**3 - 15110*s**2 in the form v*s**3 + p*s + l + j*s**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (403*o + 40613 - 40613)*(-1 - 1 + 4) to the form i*o + d and give i.\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 12677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/63, -5\/6, 4, -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14548 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.968717 years to decades.\nAnswer: 0.7968717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -36*t**2 - 100543*t - 3. Let l(p) = -2*p. Calculate l(u(w)).\nAnswer: 72*w**2 + 201086*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 16) to base 13\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1243, 2, 1, 11, 0 in descending order.\nAnswer: 11, 2, 1, 0, -1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88120 and 3727476?\nAnswer: 37274760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 f when four letters picked without replacement from ttkoffzktzftttftfkz?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffz when three letters picked without replacement from {z: 1, f: 3, r: 4, i: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v + 14*v**2 - 46*v**2 + 18*v**2 + 15*v**2 + 49*v.\nAnswer: v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 20, 0 = 5*p - 3*a + 1 - 11. Sort -0.3, p, 1\/8.\nAnswer: -0.3, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 11*u + 15. Let n = 8 - 3. Suppose n*p + 62 = -4*c, c + 2*c = -9. Let z be x(p). Solve -z*a + 12 = -13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51666098.\nAnswer: 2, 11, 2348459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d00b (base 16) to base 4\nAnswer: -31000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2. Let u(c) = 11*c + 2. Let y(v) = -351*v - 65. Let d(g) = -65*u(g) - 2*y(g). Give w(d(a)).\nAnswer: 338*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiiuuuuuuu. Give prob of picking 2 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -139*c - 985. Give t(-6).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133.03 + -124.9. Let a = k + -7.9912. Round a to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61 - 19*r**3 + 37 + 12 wrt r.\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27805 is divided by 1015.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 6. Let c be (8\/(-12))\/((-2)\/i). Suppose 2*o = 7*o - 4*j - 1, -3*o + j = -c. Is o < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*m - 331*m - 384*m + 1103*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 2325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -55 + 125\/(8375\/3886). Let 11\/4 + 9\/4*w**2 + 1\/4*w**l - 21\/4*w = 0. What is w?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 take away -0.14?\nAnswer: -168.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 645724 + 5?\nAnswer: 645730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173384414.\nAnswer: 2, 7, 71, 174431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -43*d**3 + 353*d**2 + 3646*d + 5788. Let l(c) = 13*c**3 - 118*c**2 - 1216*c - 1928. Let h(n) = -7*l(n) - 2*w(n). Factor h(y).\nAnswer: -5*(y - 32)*(y + 2)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 2*h**2 + 2*h**2)*(-5*h - 639*h - 151*h) to m*h + w*h**2 + j*h**3 + v and give j.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -69 - 315. Let n(v) be the first derivative of v**3\/3 + 7*v**2\/2 - 14*v + 1. Let k be n(-10). Calculate the highest common divisor of f and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2 - 24112*o + 36336784 = 0.\nAnswer: 3014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2618 divided by -22.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from rzutjrrrrttj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 4, -3, 12, -4, -12 in ascending order.\nAnswer: -53, -12, -4, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44340 - -3241?\nAnswer: -41044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*w**2 - 413*w**2 - 80*w**2 - 621*w**2 in the form h + t*w + i*w**2 and give i.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 189822738 divided by 94911369\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2 - 5. Let d(f) be the third derivative of -f**5\/10 - 2*f**3\/3 - 9*f**2. Determine -5*d(n) + 4*t(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -118*-2\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:00 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1237, 4910, 11021, 19558, 30509, 43862, 59605, 77726?\n\"Answer: -2*d**3 + 1231*d**2 - 6*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13427*u - 78. Let j(h) = -550511*h - 3211. What is 247*d(y) - 6*j(y)?\nAnswer: -13403*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suuuswp. Give prob of picking 1 p and 3 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122 in -29, -0.5, 0.7, -0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14230797*a**3 + 3*a**2 - a - 1142575 wrt a?\nAnswer: 42692391*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -23*f**4\/8 + 6*f**2 - 2*f. Let t(p) = -6*p**2. What is t(d(n))?\nAnswer: -28566*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 13*y**2\/4 + 5950767*y\/2 = 0.\nAnswer: -11901534\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2763+99\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2766?\nAnswer: 1\/1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 557767560 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 790 + -669. Suppose -120 = r - p. Is 6\/85 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-2)\/(-4))\/2. Suppose 4*s = w - 4 + 14, 0 = -2*s + 2*w + 8. Solve s*m - 8 = -u*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-23)\/(-138)). Let q(o) = 0*o - w*o**2 + 58 + 10*o - 10*o. Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -733, -2933, -6623, -11821, -18545, -26813, -36643, -48053?\n\"Answer: -3*i**3 - 727*i**2 + 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let x be a(-7). Suppose x = m - 15 - 16. Let l = m - 19. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 4*o**4 - 2*o**4 + 122 - o**2 - 124 to the form g*o + i*o**3 + w*o**2 + d*o**4 + z and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 457 = 82*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14508*w**3 + 12645*w**2 wrt w?\nAnswer: -87048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50775077.\nAnswer: 73, 137, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/243*432\/72.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 times -0.33\nAnswer: -0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123*g**3 - 5607*g**2 - 59160*g.\nAnswer: -3*g*(g + 29)*(41*g + 680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127365 divided by -3639.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/14)*x*x)\/(x*(((x**(1\/4)\/x*x)\/x)\/x*x)\/x))**(-5\/11) assuming x is positive.\nAnswer: x**(-335\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.67575252 rounded to one decimal place?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 852 + 102. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3341945*n**3 - 19095972*n wrt n?\nAnswer: 20051670*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2, -253, -4002, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2 + 45*v - 14. Let n be o(-19). What is the nearest to 1 in 0.1, n, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i)\/(i*i*i**(-1\/3)*i)*(i\/(i\/(i\/(i\/(i*i\/(i*i\/(i**(3\/2)*i))))))*i)\/((i**(-1\/2)*i*i)\/i)*((i**(-1\/4)*i)\/(i*i**(1\/5)))**(-1) assuming i is positive.\nAnswer: i**(47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3\/8, 1, 2\/15, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -r, -5*r - 3*s = -6 + 3. Let x = -0.067 - -0.167. Which is the nearest to x? (a) -0.2 (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) -2 (b) -9 (c) -5 (d) 3.44 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 94 = 76. What is the greatest common factor of 68 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4650 - 4650.8. Which is the closest to -2? (a) 2 (b) -1 (c) 8\/9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 + 5\/3*i + i**3 + 11\/3*i**2 = 0. Calculate i.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 2242?\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1308*r**2 + r + 41. Let d(y) = y**2 - 9. Calculate -5*d(b) - p(b).\nAnswer: -1313*b**2 - b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39513 + -17396. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 54*z - 17*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11011 - -101131101?\nAnswer: 101120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118521, -116918, -115315, -113712?\nAnswer: -112109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000538092 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 equal to -0.14621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -513 divided by 3\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -1131031?\nAnswer: -1131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.5346 - 14.342. Let z = -1.2 + q. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 + 34*n**3\/9 - 56*n**2\/3.\nAnswer: 2*n**2*(n - 4)*(n + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*u - 259*u + 118*u - 51*u**2 - 26*u**2 - 32*u**2 to the form j + d*u + o*u**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23280, 46553, 69826, 93099?\n\"Answer: 23273*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 406\/174*(-9459)\/(-21).\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jabjxaxaajxxjaaxxb. What is prob of sequence xj?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -484 + 484 - 105*d + 35*d as c + w*d and give w.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 f when three letters picked without replacement from tfddpbdfboopdobpp?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*o + 28, o + 3*o + 2*k - 24 = 0. Let d = 107 - 125. Let h = -23 - d. What is the biggest value in o, h, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/f**(-3\/4))**(-16)\/((f**(-2))**(4\/27)\/((f\/f**(-4\/9)*f)\/(f*f\/(f**6*f)))) assuming f is positive.\nAnswer: f**(-3857\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 61 + 21 - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15*c + 10161 = -12*c, 5*p + 5*c = 50825. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(7*(-69)\/322)\/(15\/(-50)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -41. Let u = o + 16. Let j be 95\/420 - 1\/u. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -34 = -2*u + 3*z, -u - p*z = 2*u - 38. Let l be 24\/231 - 4\/u. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 6. Let v be t(8). Let l = 2.72 - 2.72. What is the closest to 0 in 39, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**4 - 7\/3*z**3 + 0*z + 0*z**6 + 1\/2*z**2 + 57\/7*z**7 + 0*z**5 + 25. Find the third derivative of i(p) wrt p.\nAnswer: 6840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*a + 10, -5*a + 8 - 10 = -j. Put -2\/5, 8, a in decreasing order.\nAnswer: 8, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d - 3*d**3 + 2*d**3 + 9*d + 4 - 9*d**2 - 10*d. Does 2 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + 57 + -27 + -21 + 16.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:14 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -838.369827 to 1 decimal place.\nAnswer: -838.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68018435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194187, -388370, -582553, -776736, -970919, -1165102?\nAnswer: -1359285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5803 - -0.1.\nAnswer: -5802.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*j + 3*j + 3*j)*(0 - 2*j + 0 + (3*j + j - 2*j)*(5 - 4 - 2))*(-2 + 1 + 2) as d*j**2 + z + b*j and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/321081 and 14\/1441.\nAnswer: 3531891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 7120. Let u(y) = y - 1780 + y + k. Let x(q) = -31*q - 2. What is u(x(s))?\nAnswer: -62*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2078 and 31?\nAnswer: 64418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - 5*g**2 + 3*g - 4. What are the prime factors of p(3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4117?\nAnswer: 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32068 = -108*s + 32716 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -130421 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/12 - 2899*q**2\/4 + 387127*q\/6 + 269686.\nAnswer: (q - 8607)*(q - 94)*(q + 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20325894 by 6.\nAnswer: -3387649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-7) + (16 - 429\/39). Factor 4\/7*k + p*k**2 + 32\/7*k**3 + 0 + 16\/7*k**4.\nAnswer: 4*k*(k + 1)*(2*k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.063, 1\/6, 204, -4\/3, -5, 3, 16?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (0 - (53 - -1)). Suppose 0 = n + 3*n - c. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4623)\/15410)\/(9\/(-10)*2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(-14*7\/(-49)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -957003 by -1.\nAnswer: 957003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 - 48732*c - 3112704.\nAnswer: -3*(c + 64)*(c + 32424)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**2 - 2900*h - 405375 = 0.\nAnswer: -345, -235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(1617\/(-1715))*18\/(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(-2*sqrt(88) + sqrt(88) - sqrt(88) - sqrt(88)))\/((sqrt(8) - (sqrt(8) + sqrt(8)*2)*-1)*-4).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74441*n**2 - 69752*n**2 - 238849*n**2 - 165354*n**2.\nAnswer: -548396*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 362470 = -11*b - 5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2227?\nAnswer: 4\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 5*d**2 + 2*d**2)*(-3*d - 2 + 2) - 70*d**3 - 80*d**3 + 25*d**3.\nAnswer: -131*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10*q**2 - 9. Let p(m) be the second derivative of -5*m**4\/6 + 4*m**2 + 261*m. Give -6*p(v) - 5*z(v).\nAnswer: 10*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 145. Let w(d) = 11*d + 285. Determine 7*l(x) - 3*w(x).\nAnswer: 2*x + 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + -3.92. Let x = 59450 + -59455. Which is the nearest to 0.1? (a) 0.3 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -28. Let m = -11 + 16. Let i = m - h. Put i, -1, 4 in decreasing order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337 - -391. Let l be ((-6)\/(-20)*-2)\/(r\/126). Which is the third biggest value? (a) l (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 1116*t**2 + 155682*t.\nAnswer: 2*t*(t + 279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60099 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3037736?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 5.9. Let n be 1\/(-3) - 2\/(-6). Suppose -8*y + 4*y + 3*h = 8, n = -3*h + 12. Sort y, j, -2\/7 in increasing order.\nAnswer: -2\/7, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16068, 64500, 145306, 258486, 404040, 581968, 792270?\n\"Answer: 16187*k**2 - 129*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097432?\nAnswer: 2, 7, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 1.73, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65345202 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d)**(4\/9))**(-4\/27) assuming d is positive.\nAnswer: d**(32\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 479946\/(-832) + (26 - 24) + -4. Let d = h + 7554\/13. What is the common denominator of -47\/12 and d?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/353759 and -31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1761644934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.291 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9062*x**4 - 401*x**2 wrt x.\nAnswer: -217488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-2*sqrt(4608) + 0 - (-4 + sqrt(4608)*-2)) + -4)*2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2. Let b(q) = 36*q**2 - 2*q + 14. Let k(h) = b(h) + 8*u(h). Let f(l) = l**2 - 6*l + 7. Let p be f(5). Is k(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73352*j*o**3 - 5*j*o**2 + j + 37249169*o**3 wrt j.\nAnswer: 73352*o**3 - 5*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as -1694885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 10 + (-33 - -11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(289*(-194)\/(-560660)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 3, l: 2, y: 9}. Give prob of sequence oy.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t. Suppose s + 29 = 3*s + 5*y, -4*y = 4*s - 28. Let i(h) = 5*h - 2. Let u(r) = -35*r + 15. Let j(a) = s*u(a) + 15*i(a). Calculate j(g(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -35.06. Let f = -0.012 - -0.072. Let s = k + f. Which is greater: s or 1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iililliiyil. What is prob of sequence ly?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -10.6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -16. Let c = m - -29. Suppose 0*n - c = -2*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 1260.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**3 + 5*u**2\/2 + u + 77. Let f(w) = w**2 - w. Calculate -5*f(q) - h(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211221010 - 310?\nAnswer: 2211220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 + 11*o + 8. Let n be g(-5). Let s be (-1)\/n - 44\/(-6). Suppose 2*k - 10 = s*k. Which is smaller: -5\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/177753588 and -127\/120.\nAnswer: 1777535880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10617185 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 - 301. What is the highest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((4 + (sqrt(684) - (sqrt(684)*1 + sqrt(684))))*1)**2 - (sqrt(95)\/sqrt(5)*-1 - (sqrt(19) + 1*sqrt(19)*2)**2)).\nAnswer: -1742 + 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -18175962496814?\nAnswer: 18175962496806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -36, 4\/3, 0.055, -3?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:27 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -27562285 divided by 5?\nAnswer: -5512457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375 and 668875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -10. Let c be (-1675)\/(-30) - (-1)\/t. What is the greatest common divisor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 129. Suppose -4*o + 2*a = -78, -4*o + b = o + 2*a. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468892 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -73. Let i = 78.5 + m. What is the third biggest value in i, 0.05, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 3) - (0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*m**2 - 15*m**6 - 3*m**6 - m**2 wrt m.\nAnswer: -2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 45*n + 31997 = -10507. What is the greatest common divisor of n and 1794?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33 - (45 - 13) - 98\/1. Sort m, 3, -14 in descending order.\nAnswer: 3, -14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28838232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 82. List the prime factors of (6\/j)\/3 + 4896\/30.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4478*y**6 - 5155*y**2?\nAnswer: 537360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*h**2 - 28*h**4 + 8*h**3 + 39*h**2 + 18 - 8*h - 18.\nAnswer: -4*h*(h - 1)*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22 - 2 - 1)*1. Let r = m + 122. Let q = 36308 - 36283. Calculate the remainder when r is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -2 + 0*j**4 + 0*j**3 - 103\/5*j**5 + 12*j**2 + 0*j. Find the second derivative of n(u) wrt u.\nAnswer: -1236*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -115297 and -115294 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neghzeng. Give prob of picking 1 z and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87228?\nAnswer: 2, 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 31*h**2 - 137*h + 9. Let x be m(4). Solve 0 = -2*o + 5*k + 13, -5*o - 23*k + x*k = -18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280861.\nAnswer: 7, 40123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*m = 4*m - 1227, -3*r + 4*m + 930 = 0. What is the greatest common factor of 68 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.554ug to nanograms.\nAnswer: 193554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.1416 decades in years?\nAnswer: 661.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 at least -400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 404?\nAnswer: 404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -66, -101, -162, -255, -386?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r + 20 = 0. Let d be -1*(r - (-3)\/3). Suppose -2*o + 2*m = -o + 8, 0 = -o - d*m + 17. Solve 3 = o*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0 + 3 - 3 - 1 + (2 - 3 + 2)*(2 - 3 + 0))*(21*m + 26*m + 11*m) to the form s*m + x and give s.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 13 + (37 - 68) + -4 + 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 192 from 15.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3))**(-5)*(o\/o**(-4))\/(o**(3\/7)*o))\/((o\/(o**(1\/3)\/o)*o**0*o)\/(o\/((o*o**(-5))\/o)*(o\/(o*o*o*o**(-1\/4)))\/o)) assuming o is positive.\nAnswer: o**(629\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 16*x**5 - 2*x**4 + 31*x. Let a(l) = 16*l**5 - 3*l**4 + 31*l. Let i(f) = -2*a(f) + 3*s(f). What is the second derivative of i(v) wrt v?\nAnswer: 320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -45*w - 5. Let t(x) = 11*x + 1. Calculate -6*n(z) - 25*t(z).\nAnswer: -5*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -887*k + 1043. Let f(x) = 443*x - 516. Let g(z) = 5*f(z) + 3*r(z). Differentiate g(m) with respect to m.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4 - 256*p**3\/5 - 806*p**2\/5 - 296*p\/5 + 264\/5 = 0.\nAnswer: -22, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6365 - 6360. Solve 5*d - 10 = -n*b, d + 5*b - 19 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 22*t**2 + 6*t**2 - 5*t**2.\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 776025, 776018, 776007, 775992?\n\"Answer: -2*n**2 - n + 776028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:33 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a38023 (base 11) to base 4.\nAnswer: 12112201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 464. Let k = -237\/2 + c. Let p = -5.5 - -0.5. What is the smallest value in 3\/4, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-14)\/(-4)))\/(30\/(-60))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21*((-6)\/(-9) + 0). Let d be ((-24)\/w)\/((-4)\/224). Let r = -38 + d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-77 - (-4)\/2). What is the greatest common factor of 111 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 229, 557, 1017, 1609, 2333?\n\"Answer: 66*q**2 - 2*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16.8 * 63\nAnswer: -1058.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -725674 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 87379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-20))\/(199500\/17500)?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 23 (b) -4 (c) -0.2 (d) 3\/17 (e) -1\/2 (f) 62\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -91*b**2 - 7*b - 7. Let i(w) = 46*w**2 + 3*w + 3. Give 7*i(a) + 3*j(a).\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(50\/100).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1587437 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(72)\/(sqrt(9)*-2)))\/(3*(sqrt(240)\/sqrt(5))\/sqrt(8)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - ((-5*3*sqrt(91) - sqrt(91)) + sqrt(91)) - sqrt(91)))\/(-1*sqrt(7)*6).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4613750.582 to the nearest one hundred.\nAnswer: -4613800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 plus -850590947.6?\nAnswer: -850585792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -937*a**3*c**2*d**2 - 2*a**2*c**2*d**2 + 105*a**2*c**2 - a**2*c*d**2 wrt a.\nAnswer: -5622*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/(-35))\/(((-232)\/174)\/(14\/3)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -199. Let f(y) = -43*y - 1. Let b be f(-1). Calculate the greatest common factor of t and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 + 195*s**2\/4 + 573*s - 1339.\nAnswer: -(s - 206)*(s - 2)*(s + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 125*t - 124*t + 247*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/y**0*y*y)*y)\/((y\/(y*y*y\/y**(-4\/9))*y)\/y*y)*y**3*y**6)\/((y*y**(2\/5)*y)**14\/((y*y**(-3)*y*y)\/y*y**(-5))) assuming y is positive.\nAnswer: y**(-1447\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -189615, -379186, -568721, -758220?\n\"Answer: 18*q**2 - 189625*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5. Let h(f) = 5 - 3 + 4 + 2. Let t(d) = 2*h(d) + 3*x(d). Suppose 0 = -b + 4*b - 15. Let c(o) = 2*o - 4. What is b*t(z) + c(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30954.\nAnswer: 2, 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-72))\/((-26)\/468)*(-19)\/(-6)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 891995776 to the power of 1\/2, to the nearest integer?\nAnswer: 29866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-2 + (-16)\/(-10)). Suppose -j*m + 38 + 142 = 0. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 19 = x, 5*x = -2*w + 3*x - 2. Let s(t) = -2*t**3 + 3*t**2 + 3*t + 3. Calculate s(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200020 (base 3) to base 15.\nAnswer: 19d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from mzzzzszzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-66)\/18)\/(-11) + (-82)\/210. Is y equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z - 11. Does 15 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276344 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.345 and 0.17299375?\nAnswer: 10.51799375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 11*g**5\/10 - 13*g**3\/3 + 3*g. What is the second derivative of s(b) wrt b?\nAnswer: 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/(-3)))\/(48\/(-40))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 8257598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -1.1. Sort 4, -5, v.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h + 3*h + 1 - h**2 + 2*h**4 + 0*h**2 - h. Determine b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 10*w**2 - 3*w - 23. What is the least common multiple of d(-10) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 4*w**3 + 5 - 1 - w + (0 - 2*w + 0)*(w + w**2 - w))*(4*w + 6*w - 23*w).\nAnswer: 13*w**4 + 13*w**2 - 52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061053513 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-5*5\/(-50). Is f > 1\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57041 - 26813. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*c + 50, -77*c - 67 = -4*n - 80*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -467, -482, -533, -638, -815, -1082?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -726875 divided by 25?\nAnswer: -29075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-2 + 13)) + -47 + (57 - 26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 426321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*y + 74*y**2 - 551*y.\nAnswer: 74*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d7 - 0?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 82 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 1. Let l be c(0). Let h be (0\/2)\/4 - 11. Let i be 4\/(15 - l) - h\/4. Let o(k) = -2*k**2 - 2*k + 3. What is o(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) -0.5 (c) 0 (d) 5 (e) -11 (f) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1 - 5*u + 0*u + 3*u. Let s(y) = y**2 - 5*y - 12. Let z be s(7). Let o(a) = -a. What is z*f(c) - 2*o(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.401814 - -1430313?\nAnswer: 1430313.401814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 74.\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 220*o - 9221. Let c be d(42). Solve 0 = -22*m + c + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10736278, 10736281, 10736294, 10736323, 10736374, 10736453, 10736566?\n\"Answer: w**3 - w**2 - w + 10736279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2607 + -2604.3. Let u = -9 + 5. Which is the second smallest value? (a) -2 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278 by -8.\nAnswer: 139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 5583 - 20679. Suppose 4*j - j = r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 23 (c) -61726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 3*c - 4*c. Let s be i(2). Suppose -5*p + 60 = -s*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -454\nAnswer: 90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3666216 is divided by 19925?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118180*n**2 + 43953*n + 2?\nAnswer: -236360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -6489*u**4\/4 + 28*u**3\/3 + 22*u**2 - u + 114. What is the third derivative of k(d) wrt d?\nAnswer: -38934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153957 (base 11) in base 9?\nAnswer: 11404683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*v**3*w**3 + 152053*v**3*w + 9*v**2*w - 1279*v*w**3 + v*w**2 wrt w?\nAnswer: 114*v**3*w - 7674*v*w + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5229 (b) -9\/5 (c) -3 (d) -0.5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 606974.58 rounded to the nearest 100?\nAnswer: 607000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -716.\nAnswer: 715.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5589 and 170775?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - 15.73. Let r = 16.5 + u. Which is the smallest value? (a) 5 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245525524 (base 6) in base 10?\nAnswer: -14832700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, h: 4}. Give prob of sequence gh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 23370 = 147684. Does 51 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490985272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16077 + -16077.4. What is the nearest to -0.1 in 1\/53, h, 3, -4\/3?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*x + 51 = 0, 2*x + 32 = 3*p + 3*x. Let s(a) = a**2 + 12*a + 27. Let i be s(-9). Suppose -c - p = -4*m, -1 = m + c - i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91.78 * 0.373.\nAnswer: -34.23394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4378 = -2*j + 7404. Let f = j + -1519. Let b = f + -72. What is b rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 22.02239.\nAnswer: -58.02239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3274539.3 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1549 + 1554. Solve 7*v = 11*v + k, z*k = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302 + -307. Let v(j) = j**2 - 8*j - 3. Let q(c) = 2*c**2 - 15*c - 5. Let n(h) = o*v(h) + 3*q(h). Factor n(z).\nAnswer: z*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69619120 to the nearest integer?\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:07 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482432621.\nAnswer: 41, 2027, 41903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.02, 5, 45 in decreasing order.\nAnswer: 45, 5, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5349.244 litres in millilitres?\nAnswer: 5349244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.4 and -1014720.\nAnswer: -1014717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2524 + 7*a**3 + 2524 + 3*a**3 - 8*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 77. Suppose q*b = 27*b - 4. Solve -4 = 4*y + b*d, 0*y + 3*d = -5*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 17. Let w(y) = -y - 6. Let l(m) = -4*a(m) - 11*w(m). Let d be l(-4). Suppose -v = d*v - 141. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**4\/11 - 739*h**3\/11 + 3468*h**2\/11 - 5164*h\/11 + 208 = 0.\nAnswer: 4\/5, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/18 and 193\/122670.\nAnswer: 122670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 233. Let i = 106 - z. Is i smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(364)\/sqrt(7) + (-6*sqrt(468))\/sqrt(9))\/(sqrt(5184) - (sqrt(5184) + 4*(sqrt(5184) - sqrt(5184)*-2 - sqrt(5184)))).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6243610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.451 + 0.851. Which is the closest to 0.3? (a) z (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:12 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -6, -15, -1 in ascending order.\nAnswer: -15, -6, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/22)\/(18\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236 + -1?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0 (b) -2\/7 (c) -0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/41*6\/56*(-7)\/60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c**3 - 15*c**2 - 10*c + 21. Let q(n) = -16*n**3 - 28*n**2 - 17*n + 42. Let i(l) = 4*q(l) - 7*z(l). Give i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 274 and 21674873.\nAnswer: 21675147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e9 (base 15) in base 9?\nAnswer: -1473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5325183153?\nAnswer: 3, 37, 15991541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -9*l + 169. What is the second derivative of -6 + 13*d - 20*d**2 + 6*d - l*d - 10*d**2 wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123033.464 microseconds in weeks?\nAnswer: 0.0000018568675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + y + 10 = 2*n, 0 = 2*n + 382*y - 386*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553 = 4*d - 0*d + 2*p - 1505, -4*p = 4*d + 56 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2469.5 + 81.7. Round r to the nearest 10.\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77946 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103634\/3 - 307028\/9. Let f = n - 857\/2. What is the common denominator of f and ((-29)\/(-16) - 1) + -1?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2997 + -1.3577. Put g, -0.1, 1 in descending order.\nAnswer: 1, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**0)\/s)**10\/(s*s**0)**(-2\/29))\/((s**3\/(s**(-2\/5)*s))\/(s**(-1))**(2\/79)) assuming s is positive.\nAnswer: s**(-26992\/11455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l + 28*l + 128 + 105*l + 61*l wrt l.\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 0. Let a = 4 - 2. Suppose -8 = -4*w, -5 - 2 = -3*h - 2*w. Solve f = v + h - a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. What is the nearest to 2\/7 in -3, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8853 by -227.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 - -2725. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7027062 decades?\nAnswer: 7.027062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 16. What is the least common multiple of 1 and v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 1335 - 728 = 726 for g.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)\/s**0*s**(-1\/2)\/s*s**(-3)\/s*s assuming s is positive.\nAnswer: s**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1817325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30928.1*-818\nAnswer: -25299185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:53 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**21\/m))\/(m**(-22)\/m)*m**(-23)\/m**(-2\/55) assuming m is positive.\nAnswer: m**(-1043\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-232)*224\/(-6552)*26*1\/(-1).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*d + 5339 = 974*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120 and 180318180?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2000822 equal to -2000822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 4*l**2 - 20*l**2 - 24*l**2 - 2.\nAnswer: -31*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-14) + 695\/(-973))*42\/342?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649644 divided by -6?\nAnswer: -108274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 2 - (1 - 1\/(-1)). Solve p*c - 2 = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/19 + 8628\/19.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 77517863?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 3*p - 3*p)*(-224*p**2 + 106*p**2 + 117*p**2 - 2*p**3 - 22*p**4) + 2*p**5 + 2*p**5 + 0*p**5.\nAnswer: -40*p**5 - 4*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 13 - 3*n + 2 - 1.\nAnswer: -3*n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997892 (base 11) in base 7?\nAnswer: 40405114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-8)\/36*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 5*a - 264 = 23*a + 306 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 24 = -p. Suppose -4*y - p = -v - 3*y, -3*y = v - 6. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 7*m + 39. Let k be w(7). What is k rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 1\/4, -11, 2\/7, -19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699392 = 386*h - 6316158. What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1171.9371 months?\nAnswer: 97.661425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 + -10 + 65)*79 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37717.2 and 6.24?\nAnswer: 37710.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6213869 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 1044 = -35*l. Does 37 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44180849*g*y + 1663*g + 21910 wrt y?\nAnswer: -44180849*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722 greater than 5718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 - 170. Let g be (6\/(-5))\/((-24)\/m). Suppose 4*d = -g*f + 1052, 51 = 5*d + 3*f - 1272. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332222 (base 4) to base 10.\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + p. Let t(y) = -10*y**2 - 13*y. Let d(v) = 3*v**2 + v. Let x(i) = -6*d(i) - 2*t(i). Determine 3*a(w) + x(w).\nAnswer: -w**2 + 23*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6255*l + 4 + 1.\nAnswer: 6255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.342 and -0.25.\nAnswer: -2.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**5\/u)\/u*u*u)*u\/(u*u**(-4\/3)*u))**(-39) assuming u is positive.\nAnswer: u**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -1\/5, 5, 1, 2\/11, -2\/31, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1810 and -19532 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1539)\/(-285)*(-5)\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 190.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56157 or -56156?\nAnswer: -56156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6044.3 rounded to the nearest 10?\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 7*j + 6 + 5*j - 17*j. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36011.\nAnswer: 36011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -116.179 at most as big as 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*b + 9*b**3 - 4*b**3 - 475*b + 238*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + 2 + sqrt(63) - sqrt(84)\/sqrt(972)) + -4)**2.\nAnswer: -212*sqrt(7)\/9 + 19987\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/30*-4*55\/132?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**3 - 66*z**2 + 133307*z - 1066325. What is m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 19. What is the nearest to m in -1, -1\/9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833196644.\nAnswer: 2, 7, 71, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*i**3*t**2 + i**3*t - 7554*i**3 - 2*i**2 + 3*i*t - 1885*t**3 wrt t.\nAnswer: 162*i**3 - 11310*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000843874 rounded to 7 decimal places?\nAnswer: 0.0000844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/70 - 25*q**6\/24 - 1279*q**5\/60 + 175*q**4\/8 + 147*q**3 + 3*q**2 + 46*q. What is a in u(a) = 0?\nAnswer: -21, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/((-12)\/16)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278\/25 greater than 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64533 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 74?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (31554\/(-4))\/((-3)\/2)?\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 8}. What is prob of sequence kw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -16. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 31*a**2 - 328*a - 128. Let n be o(11). Solve 25*h + 5*f + 15 = 21*h, 0 = 5*h - 5*f - n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -53*h - 2. Let j be m(-1). Suppose -j = -3*q - 12. Let v = 14 - q. Solve 3*w + 3*o = 20 + v, -5*o = -20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.798 times 0.1288\nAnswer: -5.2547824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427797 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 784 and 86?\nAnswer: 33712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169883980?\nAnswer: 2, 5, 7, 23, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 3*r**3 + 36 + 2*r**2)*(3*r**2 + 0*r**2 - r**2).\nAnswer: 6*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -960287*q**2*u**2 - 18*q**2*u*x - 217*q**2*u + 3*q*u**3*x - 25*q*x - x wrt u.\nAnswer: -1920574*q**2 + 18*q*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let a(l) be the third derivative of 47*l**8\/20160 + 13*l**5\/30 + 20*l**2. Let r(q) be the third derivative of a(q). What is h(r(v))?\nAnswer: -94*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 + h**2 + 34*h + 34. What is n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165564, -164644, -163726, -162810, -161896, -160984?\nAnswer: -160074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-172)\/12)\/(-3 + (-24)\/(-9)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142440 + 231?\nAnswer: 143221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 765413 to the power of 1\/2, to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*k = -8, 9 = 2*k + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5732964 and 24842844.\nAnswer: 74528532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 182, -0.2 in decreasing order.\nAnswer: 182, -0.2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 + 0)) + (8 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 - 7*y**2 + 4*y**3 - 5 - 5*y**2 + 13*y - y. Let h be w(-13). Suppose -7*j + h + 69 = 0. Solve 0 = -5*p - 0*p + n + j, 5*p + 5*n = 35 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19\/d*(d*d\/(d\/(d*d\/d**(10\/3)))*d)\/d)**38 assuming d is positive.\nAnswer: d**(2014\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-24)\/r))\/((r\/(r\/r**(-2\/21)))\/r) assuming r is positive.\nAnswer: r**(569\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 173. Let w(j) = 2*j + 3. What is r(w(u))?\nAnswer: -8*u + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 10 - (0 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*x - 2153*x + 882*x + 597*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, c: 1, p: 3}. Give prob of sequence puc.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 + b + 2. Let s be n(2). Let o be (-2)\/(-6)*65154\/s. Let i = 777 + o. Calculate the common denominator of -111\/20 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/391, -1, -204 in decreasing order.\nAnswer: 5, -2\/391, -1, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -187*m**6\/15 + 125*m**3\/2 - 323*m. Find the second derivative of x(g) wrt g.\nAnswer: -4488*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3853 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, o: 1, p: 1, b: 1}. What is prob of sequence pb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + o**2 + 61*o + 3*o**2 - 12*o**2 + 38*o + 23*o as b*o + s*o**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5844, 46882, 158300, 375288, 733036?\nAnswer: 1266734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - q + 134, 122 + 16 = -2*v + 3*q. Does 6 divide (-2)\/2*1*3300\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3455 = -426*r + 5491 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2578, -9148, -20092, -35404, -55078, -79108, -107488?\n\"Answer: v**3 - 2193*v**2 + 2*v - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*q**3\/7 - 36436*q**2\/7 - 7216704*q\/7 - 627264\/7.\nAnswer: -2*(q + 396)**2*(23*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 6*k**2 - 10*k**2.\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12c (base 14) to base 4\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 - (15 - 567956) - 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*z - 42 = 0, 3*w + 0*w - 4*z = 71. Suppose -3*p + w = 2*m, 2*p = -4*m + 14 + 8. Suppose -6*r - p*r = -5823. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365786290 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, k: 4}. What is prob of sequence bkbb?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80*g**3 + 34715*g**2 - 3764950*g - 235445.\nAnswer: -5*(g - 217)**2*(16*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/((-6)\/(-12)). Suppose -n = -2*n + k. Suppose 21 = -4*z + 5*z. What is the highest common divisor of z and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 754091.\nAnswer: 754090.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004586075 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 2, m: 3, h: 5, v: 2}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 27101*f + 26591*f + 4.\nAnswer: -510*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.007, -4\/9, -0.2, 1\/5, -10, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 53587 (b) 2\/7 (c) 8.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*r = 17, -p - 3 = 2*r - 5*r. Let h(y) = -y**3 + 2*y**2 + 5*y - 4. Let u be h(p). Sort -1\/8, 0, u in descending order.\nAnswer: u, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and 340169.\nAnswer: 5102.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)*v*v)**(-16\/5)\/(v**(1\/2)*v*(v**(-1\/3)\/v)\/v) assuming v is positive.\nAnswer: v**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 divided by 5?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196325586?\nAnswer: 2, 3, 79, 46021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 + 15*u**2 - 23*u**2 - 9*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -40*m**5 + 79748*m**4 - 52882924*m**3 + 11587177224*m**2 + 50996520432*m - 41357161440 = 0.\nAnswer: -5, 7\/10, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 68. Let y(f) = f**2 - 8*f - 8. Let h be y(6). Let b = h - o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/115*(-190)\/19*53\/(-106).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:24 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -96139?\nAnswer: 192278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139117421 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1820)*-39*-3*20\/54.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93.41563 years?\nAnswer: 0.9341563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6669234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2854*g**3 - 1429*g**3 - 1427*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24300 and 873828.\nAnswer: 21845700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2718 and 1983331395.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -r - 153. Is -17 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/562 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 < -343\/1868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742, -1483, -2224, -2965, -3706, -4447?\nAnswer: -5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321276 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -237*b**3 + 4*b + 52. Let n(a) = -709*a**3 + 11*a + 157. Let p(z) = -4*n(z) + 11*x(z). Differentiate p(i) with respect to i.\nAnswer: 687*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 88, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10632 - -7132. Let p be (1001 - 1)*t\/(-7). What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a - 5. Let f(k) be the first derivative of 7*k**2\/2 - 6*k + 29. Let l(r) = 5*f(r) - 6*j(r). Let m(t) = -94*t**2. Give l(m(w)).\nAnswer: 94*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3*m**4 - 726*m - 2750\/3*m**2 + 554\/3*m**3 + 0.\nAnswer: -2*m*(m - 11)**2*(13*m + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6280967753 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/120 + 763*i**5\/10 + 1007*i**3\/2 + 11*i**2 + i - 4. What is the derivative of l(h) wrt h?\nAnswer: 3*h**2 + 9156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/680*5)\/(-74).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120509 is divided by 30038.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -122*f + 112*f. Suppose 3*u - 3*c = 330, 4*c = -4 - f. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*s + s - 16, -2*x + 5*s + 46 = 0. Let z be -22*(1 + x\/(-4)). Is 0 + z + 6 + -6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278.2 + -278. Which is the closest to 0.04? (a) 1 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 1. Let b be (u - -5)*6*1. Let f be (-2 + (-27)\/b)*2. Solve -3*w = 0, 0 = -4*l - 2*w + f*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*p = -12866, 0*g - 5*g + 16079 = -p. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -521 + 2259. Let y be (-21)\/(-14) + (-2186)\/(-4). Let n = y - b. Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27665, 110585, 248785, 442265, 691025?\nAnswer: 995065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 - l - 8. Is 16 a factor of p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, 1, -5, -44 in increasing order.\nAnswer: -44, -5, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40c + 53?\nAnswer: -3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15.92. Let h = -0.08 - j. Let v = -0.3 - 0.1. Sort h, -4, v.\nAnswer: -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*f + 5*f + 32*f - 6*f - 564 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (4 + 1)) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 - -232. Let o(x) = -11*x**3 - 60*x**2 + 132*x - 70. Let b(i) = -31*i**3 - 180*i**2 + 397*i - 210. Let m(u) = t*b(u) + 8*o(u). Solve m(w) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)*x\/x**(2\/13)*x)\/(x\/x**(-3\/2)*x**(3\/4)))\/((x*x\/(x\/(x*x**(3\/7)*x*x))*x)\/(x\/(x\/x**(1\/3))))**(7\/9) assuming x is positive.\nAnswer: x**(-58361\/9828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/24 - d**2\/2 + 5. Let i(h) be the second derivative of s(h). Let k(t) = 3*t. What is k(i(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 486 = 2*y + y, -5*f - 675 = -4*y. Let b = 682 - y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 4*l**2 - 10*l - 10. What is the smallest common multiple of 700 and u(-2)?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-310)\/(-3906))\/(4\/(24\/5)). Which is the fourth biggest value? (a) -1 (b) p (c) -6\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d + 18. Let x(i) = -1. Calculate n(f) - 5*x(f).\nAnswer: 9*f + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1264 + 1268. Solve -p*h = -x - 6, -9*h = -6*h - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 24*r - 119. Let z = -67 - -54. What is the smallest common multiple of m(z) and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.3716 rounded to 0 dps?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80424.51mg in tonnes?\nAnswer: 0.00008042451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 1382102153769?\nAnswer: -1382102153762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/360 + t**5\/60 + t**4\/24 - 5*t**3\/6 - 4*t. Let p(q) be the second derivative of i(q). Let p(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0402 + -0.03446. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)\/h)\/(h\/(h*h\/h**(5\/2)*h)))**(-2\/17)*(h**(1\/4)\/h*h*h**(-6))**(17\/5) assuming h is positive.\nAnswer: h**(-72377\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**2*u**2 - 5146*i**2*u + 43351*u**2 wrt i?\nAnswer: 10*i*u**2 - 10292*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*g - 16628, 0 = -3*g + 21*u - 20*u + 9976. List the prime factors of g.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouluuouo. What is prob of picking 2 o and 1 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2381*r. Let j(n) be the second derivative of -n**3\/2 - 12320*n. Determine v(j(g)).\nAnswer: -7143*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/33)\/((-2052)\/(-1672)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1469.8 * 3\nAnswer: 4409.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + 9 + 5 - (4 + 17)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.567 + 0.433. Which is the smallest value? (a) 2 (b) -8\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -5\/4*i**4 + 19\/12*i**5 + 0 + 3*i**2 + 5*i + 0*i**3. What is the second derivative of v(t) wrt t?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(6000\/(-1190)) + 18\/12. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {z: 1, n: 2, p: 6, r: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28125 and 135?\nAnswer: 84375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-108)*3 + (-25)\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -935*b + 5 + 4*b**3 - 5*b**3 + 936*b - 4*b**2. Let s(j) = -j - 1. Let u be s(3). Let w be l(u). Solve -26 = 2*p + 5*q, -q + w - 5 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 3. Let a = 139 + -138. Sort a, g, 30 in decreasing order.\nAnswer: 30, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44340518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 65 + 585 = 0. Let d = 67 + b. Solve 0 = a - 5*o - d, -4*o = 2*a - 12 + 38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -45. Let l = -12 + j. Suppose -2*s = -5*s + l. Solve 0 = -3*o - 3*i + 3, -4*o + s*i - 31 = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6167 is divided by 3033?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76.3 + -76. What is the second smallest value in -5\/4, 0, h, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240216113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*109\/218?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, c: 5, w: 3, x: 1, d: 1}. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 96*w**4 + 10*w - 8. Let g(a) be the first derivative of a + 33. Let y(d) = b(d) + 5*g(d). Find the second derivative of y(v) wrt v.\nAnswer: 1152*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258898.\nAnswer: 2, 129449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(84) + 1*sqrt(84))*-6)\/((sqrt(132) + (1*sqrt(132) + sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(11)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 1187.\nAnswer: 1187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 5182.\nAnswer: 336830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3757, -3718, -3689, -3676, -3685, -3722, -3793?\nAnswer: -3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(1\/5))*g**(-11))\/((g*g**(2\/5))\/g*g)**(6\/7))**(-1\/26) assuming g is positive.\nAnswer: g**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 1467*h**2 + 96931*h - 122. Calculate r(61).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 39*s - 223. What is c(-18)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 12244163 + 7764028. Let c = 10619397 + x. Round c to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14386157*h*y**2 + 7013572*y**2 wrt h.\nAnswer: -14386157*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2431 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -127. Let l be 6*(4\/(-6))\/(f\/24). Solve -2*w - 4*m - 13 = l*w, -4*m = 3*w + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*i + 11, 93 = 3*i - y + 110 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 5*c**3 + c**3)*(5*c - c - 5*c - 3*c + 3*c - c + (-2*c + 3*c + c)*(74 - 21 - 40)).\nAnswer: 120*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*n + 140 = 0, 3*y + 0*y = -n + 105. Let w = -39 + y. Put 2, -4\/3, -13, w in decreasing order.\nAnswer: 2, -4\/3, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*l**3 + 3*i**3 + 2355*i - 172*l**5 + l wrt l?\nAnswer: -12*i**3*l - 3440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-10)*20\/12. Suppose -4*i = -o - 6. Calculate the highest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010110110111 (base 2) to base 10.\nAnswer: 21943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**6\/360 + c**5\/30 + 3*c**4\/2 + 6*c. Let l(k) be the third derivative of b(k). What is l(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11600 not equal to 11614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/9))**29)**46 assuming p is positive.\nAnswer: p**(9338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*r - 147*r - 137 - 123 = 0. Solve -16 = r*x + 140 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214544 + 4?\nAnswer: -214540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:29 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*s)*(92*s - 121*s - 90*s)*(3*s + s - 3*s + (2 - 4 + 0)*(-3*s + 2*s + 0*s) - 4 + 4 - s) as t*s**2 + c*s**3 + u + k*s and give c.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, t: 2, o: 2, r: 1, l: 1}. What is prob of sequence or?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 8.4 (c) -379 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Let h = -0.37 - -0.27. What is the nearest to h in z, -2, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*l. Let j(u) = 2*u**2 + 2*u**l - 3*u**2 + u**2. Let s(y) be the second derivative of -y**4\/6 + y. Determine j(s(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 4*r, -3*r + 12 = 3*f - 2*f. Solve f*c - 9 = -3, 0 = -3*w + c - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 267, 0.4, 2\/9?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2078, -2083, -2090, -2099, -2110, -2123?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q\/(q*q*q\/(q\/(q\/(q\/q**(2\/5))))*q))\/q)\/q)\/q)**(9\/14))**(-1\/43))**(1\/3) assuming q is positive.\nAnswer: q**(81\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67144 and 201432?\nAnswer: 201432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874659782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 20 - 19 + 39.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -151 in ascending order.\nAnswer: -151, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 60, 5, 114, 0, -5, -41 in increasing order.\nAnswer: -41, -5, 0, 2, 5, 60, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705 times -13?\nAnswer: -22165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/15 + 15628*n**2\/15 - 15634*n\/15 - 2084 = 0. What is n?\nAnswer: -7815, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 130 = 9*t. What is the remainder when 34 - 10\/6*(t - -29) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 2. Give v(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 150 (c) 6\/11 (d) -2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3 + 139188*j**2 + 1809810*j - 1948996 = 0.\nAnswer: -14, 1, 69607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -5. Let p be 5*(-3 + (-212)\/s). Let i = p + 106. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 1073136*t.\nAnswer: -3*t*(t - 357712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -425, -1669, -3741, -6641, -10369, -14925, -20309?\n\"Answer: -414*h**2 - 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 44 - 14. Let a = 87 - 82. Is a < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (16 - 6) - 5 - (-7 - -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16523.\nAnswer: 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 5*q**2 - 2. Let d = 0 - 4. Let c be 13\/d + (-3)\/4. Let m be 6\/3 + 7 + c. Calculate p(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(9\/6)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -75. Suppose 0*c + 64 = -4*c. Let r = c - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -46*a + 232. Let j be f(5). Suppose b - 5*b = -2*d - 44, 2 = -d. Solve j*y - b = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 6*c + 10. Let n be m(7). Sort 6, n, 0 in decreasing order.\nAnswer: 6, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129488469997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2798 = -j, 700 + 2798 = 5*r - j. Let q be (-4)\/26 - r\/(-325). Solve -2*n - 4 = -q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 20 - 134*u - 8*u**3 + 3*u.\nAnswer: -8*u**3 - 131*u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 3. Let t(j) = -90*j + 10. Determine 3*k(r) - t(r).\nAnswer: 87*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 - 3*n**3 - 32*n**3)*(-84*n + 10*n - 121*n).\nAnswer: 7995*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -220*p + 864. Let j be q(4). Which is the closest to 1? (a) j (b) -8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1.06, -4.93, 3?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -432 + 12540?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, d: 9, t: 3, w: 2}. Give prob of sequence kdwd.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012501 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202102202112 (base 3) to base 11.\nAnswer: 255227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2 + 220 + -21 + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*k + 215224 + 3245636 = 0. List the prime factors of k.\nAnswer: 3, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - 36645?\nAnswer: -36723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*o**3 + o + 4*o - 90*o**3 - 5*o.\nAnswer: -278*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*j - 6 + 253*j + 1257*j + 6 to the form c + d*j and give d.\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t. Suppose 0 = -5*o - 14 - 6. Let d be u(o). Suppose d = -3*l + 8*l - 15. What is the greatest common divisor of 27 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 219238 and 72.\nAnswer: 7892568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 4\/2)*(30 - (-1643)\/(-93)). Solve -59*o + 26*o = -q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*f = 457*f + 352 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 - 2*o**4 + (o - o - o)*(2*o**3 + 9*o**2 - 9*o**2).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6819, 7038, 7637, 8808, 10743?\n\"Answer: 32*x**3 - 2*x**2 + x + 6788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglllg. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8175572 and 2?\nAnswer: 8175572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3549 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 34 + 31. Let z(g) = g**3 - 6*g**2 + 6*g + 1. Let d be z(5). Let v be ((-4)\/d)\/((-4)\/78). Calculate the greatest common factor of v and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 5\/4 (c) -2 (d) -0.1 (e) 2\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9554? (a) -0.2 (b) 4 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 17, e: 3}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1132029 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 204*u**2 - 293*u**2 + 87*u - 85*u - 2 in the form b*u**3 + m*u**2 + l + c*u and give m.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 + -143. Suppose l + 2 = 0, o*g - 2340 = 5*l - 526. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16, 0, 1, 5 in decreasing order.\nAnswer: 16, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3917294 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*a**4*k**2 - 44*a**3*y - 14*a**2*k**2*y + 2*a**2*k - 22*a**2*y wrt a.\nAnswer: 360*a*k**2 - 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:56 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:09 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (5 + -6 + -9) - (2 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-4))\/((-1)\/(-4)))\/(30016\/(-795424))*-1\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441669 = 3*g + 4*p + 441673, 0 = g + 2*p + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 2, 29, 1 in descending order.\nAnswer: 29, 2, 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3076*t**3 + 1227*t**2 + 23514647?\nAnswer: 9228*t**2 + 2454*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500082 is divided by 134.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 = -r, -5*m + 144 - 122 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/70 and -117\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91409*b + 91280*b + 98*b**2 - 137*b**2.\nAnswer: -39*b**2 - 129*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 divided by -88?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.12398 hours in days?\nAnswer: 11.7968325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383.91 + 6.09. Let n = y + -389.7. Let u = -25 + 13. What is the nearest to 0 in n, 0.4, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510035982.\nAnswer: 2, 3, 41, 2073317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*d - 30 = 0, -t - 2*d + 6 = 2*d. Let g = 237 - 171. Calculate the greatest common factor of t and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*x + 57*x - 3589 - 3087 + 1432 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 10*p - 7. Suppose -4*z = -140 + 32. Suppose 5*d + 1 = -14, -2*c - 5*d = z. Determine m(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 907*w**2 + 3*w - 913*w**2 + 1822*w**2. Let x(a) = -816*a. Determine n(x(j)).\nAnswer: 1331712*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*0\/((-8)\/2). Suppose 4*g + o*b + 8 = -4*b, -5 = -2*g + b. Solve q = -g - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006.61 hours in seconds?\nAnswer: 3623796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 22 = -2*b + 8, -2*q - 2*b = -6. Let d = q + -4. Differentiate -m**4 + 2*m**4 + 2 + 2*m**4 - d wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.52 and -2023.63876934?\nAnswer: 2024.15876934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 466 = -258 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 246.14 in 3, 1\/5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 i when four letters picked without replacement from ivvvivvvivv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 21333*q - 15 = 21340*q, -5*v - 54 = -0*q - 3*q for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 531650113?\nAnswer: -531650112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 - 3*z + 2. Let o(j) be the third derivative of -29*j**5\/60 - 13*j**4\/24 + 3*j**3\/2 + 2603*j**2. Determine -9*h(t) + 2*o(t).\nAnswer: 5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4387402 - -4387401.81099758. Let y = 0.189 + l. What is y rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826153 + -826099.71943. Let h = x - 53.3. Round h to 4 decimal places.\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, y: 13}. Give prob of sequence gg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503721.7 decades to millennia.\nAnswer: 5037.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3527010852 - 20888.\nAnswer: -3527031740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a**3 + 4635*a**2 + 1980*a = 0 for a.\nAnswer: -132, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + -2 + -4 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 5*b. Let s be w(4). Let r be 25\/4 + 7\/s. Suppose -30 = -3*q - r. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3340.02871 to the nearest 10.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -61*z + 567. Determine p(7).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let k = -38 + 59. Let v(b) = -30*b. Determine k*h(j) - 2*v(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 23 - (637\/(-7) + 1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*q - 5 = x - 184*q, -x + 3*q = 17. Which is bigger: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 g when four letters picked without replacement from jqjgggjjjjjjqjjjj?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14880 divided by -930?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 20*a**3 - 344*a - 2 - 7*a**2 + 2 + 337*a. Let p(o) = -19*o**3 + 6*o**2 + 6*o. Calculate -6*j(m) - 7*p(m).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 430325 (base 8) to base 11\nAnswer: 98961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 742685 - 562*i - 371340 - 371347 to the form m*i + j and give m.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76774, 76743, 76724, 76723, 76746, 76799?\n\"Answer: r**3 - 38*r + 76811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -900*g - 39*g - 389*g + 279*g - 426*g as f*g + b and give f.\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 23*w**2 + 2*w + 51. Let u be v(-23). Which is the fourth smallest value? (a) -1\/6 (b) 2\/9 (c) u (d) 10 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.59961 - 1.6. Round o to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = -499 + 788 - 465 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*j - 37034 - 6375 + 6128 = 645*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 take away 279.2?\nAnswer: -283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 12*s**2 + 3.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**2\/2 + 15*a + 1. What is the units digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**4 - q**3. Let z(g) be the second derivative of -g**6\/6 + g**5\/10 + 13*g + 1. Let w(v) = 3*y(v) + 2*z(v). Find n, given that w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*l)*(3 + 2 - 6) - 2*l - 3*l + 7*l + 28*l - 33231 + 33235 + 14*l.\nAnswer: 46*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 - 18*y**4 - 3*y**3 + 72*y**2 - 48*y.\nAnswer: -3*y*(y - 1)**2*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31729, 62437, 91117, 116755, 138337, 154849?\nAnswer: 165277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g + 80*g + 82*g + 71*g + 64*g + 69*g - 441*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 2 - 950*t + 950*t. Let d(p) = 5*p**2 + p - 3. Suppose -4*n = -2*n - 6. Let k(j) = n*i(j) - 2*d(j). Factor k(a).\nAnswer: 2*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -140. Let z(l) = 2*l**3 + 8*l**2 - 15*l + 20. Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/((-90)\/(-54))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**2\/2 - 6161*n\/6 - 3091\/3.\nAnswer: (n + 1)*(21*n - 6182)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4894 = 3*o, -5*k - 3*o - 1602 + 13795 = 0. Suppose 1622 = 17*j - k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28058029?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l + 142*l = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(-3)\/(60\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13032544 (base 6) to base 5.\nAnswer: 102040212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 - 65 + d + 1 + (6 - 10 - 8)*(d + d - d) - 2*d - d + 4*d + (-d - 2*d + d)*(5 - 3 + 0) - d + 0*d - d + d + 0*d + 2*d as i + n*d and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(3\/2)*v**(-1\/9)*(v**(1\/4)\/v)**48*(v**(2\/7)\/(v\/v**(2\/5)*v))\/(v**7*v*v\/((((v**(1\/4)\/v)\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-63851\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3790257 divided by 18857.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1272 = 6*c - 8*c, -644 = c - 2*a. Let i = 642 + c. Let o(n) = n**2 - 6*n + 3. Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-1 - 8\/(-6)). Suppose 2*z + 7*r - 10 = j*r, r - 2 = 5*z. Let f = -123.1 + 123. Put z, f, 2\/13 in decreasing order.\nAnswer: 2\/13, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-9)*(-138)\/44 and 55\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116212 and 206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -34.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*o - 24 = -h, 2*h + 18 = -4*o. Let b(f) = 8*f**3 + 2*f**2 - f. Calculate b(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 20. Let f be 3\/18*-2*b. Is 14 a factor of f\/(4\/(-4)) - -14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:44 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24078607*i**2\/5 + 6879609*i\/5 + 2\/5.\nAnswer: (7*i + 2)*(3439801*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -17 - 85 - -69?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16742825.\nAnswer: 5, 11, 107, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(-5) + 3\/(-5). Suppose -c = -5*y + 2, -2*y + 0*y + 8 = j*c. Suppose g + 558 = 6*g + c*s, g + s = 112. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27813141.\nAnswer: 3, 23, 134363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866511010?\nAnswer: 2, 5, 29, 2987969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2. Let u(s) = 6*s**2 - s. Suppose 4*i + 21 = 3*q, -2*q - 5*i + 1 - 10 = 0. Let v(t) = q*a(t) + u(t). What is the second derivative of v(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*j - 36 = 0, 3*o + 19 = 4*j - 3*j for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422 = -2*h + 2*y, -h + 2137 = 2*h - 5*y. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31243 divided by -1?\nAnswer: 31243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 324067 * 2.\nAnswer: 648134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/m**(-8))\/((m*m**(-4\/11))\/m*(m\/m**(1\/9))\/m) assuming m is positive.\nAnswer: m**(1730\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(576))\/(-5*sqrt(32)\/sqrt(4)))**2*-3.\nAnswer: -864\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*d - 45*d + 8964. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003876378 rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 416733*u**3 + 44999388*u**2 - 1619884656*u + 19438056000.\nAnswer: (u - 416625)*(u - 36)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 786 divided by 36472.\nAnswer: 393\/18236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -5. Suppose 13 = u - q. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(7\/5)\/f*f\/((f**7*f)\/f)*(f\/(f*f**0))**(-2\/33) assuming f is positive.\nAnswer: f**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -44*v + 62*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6 - (-7)\/7).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -26 + 29 + 2 + -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 8514100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 533*b**2 - 44944*b + 576. Determine n(105).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 - 7 = 0. Suppose a - 7 = -2*w. Suppose -5*u + w*j + 46 = 0, -3*u - j = -2*j - 30. Solve g - 16 + 7 = 5*l, 0 = 3*g + l - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + (2 - 1). Suppose 2*u = -u + 5*s - 12, -2*u + 3*s - 7 = 0. What are the prime factors of 3 - u - (-2 - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d + 7*d**2 + 4 + 6*d**3 + 0 - 3*d**2. Suppose -c = -3*i - 12, -6 = 2*i + 4*c - 12. Let j(k) = -5*k**3 - 3*k**2 - 3*k - 3. Give i*n(w) - 4*j(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3\/(-6))\/(2\/(-20)). Let p be (-1131)\/i - 3\/5. Let l = p - -3454\/15. Find the common denominator of -151\/24 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 7*z. What is the hundreds digit of (1 + 3)*(962\/8 - z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 + 36*r + 35. Let z be k(-1). Let f(u) = 5*u**2 + 2*u - 5. Let b(o) = 8 - 3*o + 3 - 9*o**2 - 2 + 0. Calculate z*b(q) + 7*f(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3277 - 0)\/(-3 - 32). Let f = s + 115\/7. Let h = f - -8096\/105. What is the biggest value in 0.3, h, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + (3 - 0) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/6 + 5*u**3\/6 - u. Find the second derivative of h(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0 + 20. Suppose -m + 3 = 0, 2*s + 4*m = k + 42. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 1. Let n be m(1). Let q be 0 + n + -2*1. Solve -5*b + 2*o = -q, -4*b = -b - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -178 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -865770411*v - 595324239 with respect to v.\nAnswer: -865770411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 56760\/(-825) - 420\/(-6) - ((-632)\/90 + 0)\nAnswer: 74\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3354466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181009 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38 (b) 1\/18 (c) 3\/2 (d) -2 (e) -71 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 123*r**3 + 2*r**2 - 56*r + 2. Let l(c) = -245*c**3 - 5*c**2 + 113*c - 5. Let p(v) = 2*l(v) + 5*n(v). Find the second derivative of p(h) wrt h.\nAnswer: 750*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*b + 8 = 19, 4*y = 2*b + 12. Let a(q) = -23 - 5*q + q**2 - 20 + 39. Calculate a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 130 = 5*x, -4*m = -2*m + x - 65. Suppose 2*b + 2*c = 36, 5*b - m - 51 = -4*c. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + ((-1)\/(-33))\/((-30)\/6870)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1094)\/(-14) - -1)\/(170\/595)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2 - (-78 + 86)) + (-3 + -48 - -4).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -17\/6 (c) -14 (d) -3 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 59*f**2 + 35*f + 145. Is r(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27067 = 26945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205749\/14 - -14689. What is the common denominator of x and -79\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/20 and 13\/((-715)\/77) + (-3166)\/(-2540).\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpgp when four letters picked without replacement from fzgdzppzplzz?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2865.0431 + 101\nAnswer: 2966.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:53 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 1744*w**3\/3 - 85*w - 949. Differentiate x(f) wrt f.\nAnswer: 3488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206773*-5.\nAnswer: 1033865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -12. Let y(f) = f**2 + f - 2. Let c be y(h). Let g = 25 - c. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667 = 21*y - 1562 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(162))\/sqrt(6).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 367*q**2 + 2860*q - 2860*q + (-q**2 - 2*q**2 + 4*q**2)*(-6 + 2 + 2) + (2*q - q + q)*(0 + 2*q + 0) + 1 - 1 + q**2 - q**2 - 2*q**2 + q**2.\nAnswer: 368*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*d - d. Let o be (-172)\/(-22) + d\/44. Suppose 3*g - 190 = -2*f, 2*f + o = -0*f. Calculate the remainder when g is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-31)*h)\/h**(-30))**43)**(-8\/9) assuming h is positive.\nAnswer: h**(-344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 + 9*p**2 + 5*p**2 + 9*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*y - 607 + 607)*(2 - 2 - 4).\nAnswer: -300*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 28. What is m(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 8*d - 2. Let h be c(-8). Let t be ((-6)\/2 - h)*-3. Suppose -2*a - t*k = -208, -a = -k - 81 - 23. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 89 = 5*t + 11 + 7, -61*t = -57*t - 4*l - 76 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*d - 402*d + 193086 = 0. What are the prime factors of d?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**9\/5040 + 3*l**8\/2240 - l**6\/60 - 5*l**4\/6 + 5*l. Let k(w) be the third derivative of u(w). Find f such that k(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 67*d - 9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -135d (base 15) in base 10?\nAnswer: -4138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + d + 8. Let k(w) = w**2 + 7. What is -3*i(a) + 4*k(a)?\nAnswer: -2*a**2 - 3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**3 + 2094*x**2 - 4*x - 3. Let j(q) = 28*q**3 - 10468*q**2 + 22*q + 16. Determine -2*j(o) - 11*y(o).\nAnswer: -o**3 - 2098*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + sqrt(117)*-1))\/(2*sqrt(441)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -28 + 60 - 33 + 401*d. Let s(w) be the second derivative of w**3\/3 + 1134*w - 1. Give v(s(n)).\nAnswer: 802*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 - 4234?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 229441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8308 - 8309. Which is greater: l or -53.96?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 18.6257?\nAnswer: -149.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 515 * 0.12828\nAnswer: 66.0642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0235115 to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 147599244.5 to the nearest 100000.\nAnswer: 147600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81484873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 - 5*y**2 - 4*y + 15. Let m be o(4). Find the third derivative of -57*j**5 - 96*j**2 + 79*j**5 - m*j**5 wrt j.\nAnswer: -5340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 4*b + 3. Let n be h(-2). Let t = 20 + n. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 54*x**2 + 33*x - 10121. Calculate t(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 812 = -18*r. Let y = r - -293\/5. Is y bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -2)\/((-121)\/(-242)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*c - 5 = 0, 7*c - 2*c - 27 = -3*o. Let s(f) = -f + 5. Let j be s(o). Sort j, 5, -4 in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21959*p + 18 - 9 - 21961*p - 17*p**2 - 61*p**3 - 11 to the form j*p**3 + y*p + s*p**2 + v and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48942.\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 190, 266, 330, 382, 422, 450?\n\"Answer: -6*b**2 + 106*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8509.701 millilitres in litres?\nAnswer: 8.509701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000331921 rounded to 6 decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = -2*g. Let o(f) be the third derivative of -f**4\/24 - f**3\/6 + 12*f**2. Let j(y) = 9*y + 6. Give g*o(m) + 2*j(m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b9 + 0?\nAnswer: 4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-3) + 2)*135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 10*t**2 - 15*t + 8. Let o be m(-8). Let l(i) = -i**3 + i**2 - 2. What is l(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 11*r**2 + 5*r + 2. Give c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or 442389\/2?\nAnswer: 442389\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 37*u**2 + 40*u + 83. Let f be t(-36). Let y = f + 331. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -68744, -4, -82, 3, 0 in decreasing order.\nAnswer: 3, 0, -2, -3, -4, -82, -68744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 111 = 125. Let g(b) = 2 - s + 11 - 7*b + 3*b. What is g(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n + 2*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4 + 2 - 2*p + 0*p - 6. Let t(u) = 94*u. What is b(t(r))?\nAnswer: -188*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 546*f + 547*f - 1092*f. Let y(q) = -3*q - 2. Let w(l) = -1. Let t(h) = -2*w(h) + y(h). Determine t(p(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28409422 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -292 (c) -3 (d) -1602 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -40677 (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 3*p**2 + p - 2. Let f(g) = -2*g**3 + 5*g**2 + g - 4. Let t(k) = -5*c(k) + 3*f(k). What is the least common multiple of t(-2) and 41?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 - g**2)*(-3 + 1 - 9)*(-3*g + g - g).\nAnswer: -66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**4 + 57*i + 2 + 13*i + 10*i**4 to y*i**3 + x*i**4 + b*i + c*i**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r + 29*r + 39 - 76*r.\nAnswer: -13*r + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 3*i - i - 4*i + 3*i + 4*i + 4*i + i - 4*i + (-2*i - i + 0*i)*(3 + 1 - 2) + (2*i + 0 + 0)*(-2 + 1 + 3).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7.4 * -6\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 + 2*f - 6. Let i be s(6). Let p(x) = -x**3 + 7*x**2 - 5*x - 4. What are the prime factors of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -515*m**2 + 249*m**2 + 2*m**3 - 3*m + 253*m**2 - 1 in the form n + f*m**3 + u*m + i*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (0 - 1 - 5). Let s be c\/(-8)*-6 + (-18)\/12. Which is smaller: s or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12285?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, -5*h + 59 = 5*i - 256. Let d = i + 571. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*b**4 + b**3 + 72*b**2 wrt b?\nAnswer: -2592*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**9\/756 - v**7\/105 + v**5\/30 + 2*v**3 - 12*v. Let j(k) be the second derivative of y(k). Suppose j(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 14, 19, 26, 35, 46?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18 = -v + 3*r, 4*r - 16 = 0. Let x(p) = 9*p - p - 159 + 129 - 3*p. Let g be x(v). Solve -3*z = -g*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 3.7034 (c) -0.3 (d) -0.1 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 83413.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n. Let g be c(1). Let i = -127 + 39. Let p = 96 + i. What is the nearest to p in g, -0.2, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {a: 2, f: 7, n: 2, m: 2, e: 1, o: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20912, -50423, -79930, -109433, -138932, -168427, -197918?\n\"Answer: 2*n**2 - 29517*n + 8603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 25 = -15. Let a(q) = q**3 - 9*q**2 + 8*q - 1. Let l be a(i). Let k = -0.27 + -0.03. What is the nearest to 1 in l, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:20 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 560 + 41*g - 560 in the form n*g + z and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l**2\/11 - 86*l\/11 + 240 = 0.\nAnswer: -120\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c. Let s be 4*(-3)\/(-6)*-1. Let z be b(s). Suppose -2*d + 12 = 2*n, 2*n - d = 5*n - z. Solve -n*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 23*i + 52. Let j be l(21). Suppose j*n + 3268 = 14*n. Does 43 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -335. Suppose -b = 2*q + 9, 3*q - b + 19 = 3*b. Sort f, 0, q in ascending order.\nAnswer: q, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36285477 by -1.\nAnswer: 36285477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010021102 (base 4) to base 3.\nAnswer: -2111110021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*a**3 - 142*a**3 + 3*a - 3*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 4, c: 6}. What is prob of sequence fcu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -55*x + 2420. What is the highest common factor of 3564 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 428?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -71492434 greater than -71492434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:08 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b9 (base 13) in base 7?\nAnswer: -3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 6*w - 3. Let z be j(-7). What is the tens digit of 4 - 3 - z - -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/11, 580, 2\/27, -0.3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13674\/11395)\/(162\/(-10)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121362 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -63, -71, -81?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than -21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 43*f - 38. Is 12 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(90) + (sqrt(10)\/(sqrt(4)\/sqrt(2) + sqrt(2) - sqrt(2)))**2.\nAnswer: sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047967899?\nAnswer: 3, 11, 2339, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 9\/6)*(-60)\/(-9). Let x be 1*(-5)\/(-2)*(-4)\/t. Solve -i - 7 = 5*o + x, 5*i + 13 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236898527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6 - 20*i + 7*i + 4*i - 23 + 6*i. Determine j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ppps.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**7\/350 - a**6\/200 - 3*a**5\/100 + a**4\/8 - a**3\/5 - 5*a**2 + 2. Let c(s) be the second derivative of k(s). Factor c(q).\nAnswer: 3*(q - 1)**3*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 324 + 384 = 0. Suppose -m*l**2 - 2*l**2 + 32*l + 36*l + 29 + 7 = 0. Calculate l.\nAnswer: -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h**2. Let i(p) = 479*p**2. Give i(n(v)).\nAnswer: 93884*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/5 - 25264*j**2\/5 + 15936512*j + 127815680 = 0.\nAnswer: -8, 6320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = 0, -26 = -4*s - n - 11. Suppose c = -x + 6, 2*c - s*x + 5 = 52. Suppose -a - 30 = -41. Calculate the highest common divisor of a and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 36*l. Let g(i) = 12*i + 4. Let n(z) = -50*z - 18. Let p(v) = 9*g(v) + 2*n(v). Calculate j(p(h)).\nAnswer: 288*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/28 - (-2 - (-48)\/21). What is the closest to s in 5, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155581696 divided by -2430964?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*g + 37 + 16*g + 33 + 19 - 32 as o*g + x and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 138291, -1, 3, 4, -3.\nAnswer: -3, -1, 3, 4, 5, 10, 138291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - j - 26.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -66*8\/(-144) - 4\/6. Suppose -o*s + i - 4*i = -237, -4 = i. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.52 + -3.52. What is the second smallest value in 10, 2\/9, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 105645480*i + 1395120930553800.\nAnswer: 2*(i + 26411370)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 37*c - 11. Let u(b) be the first derivative of -3*b**2 + 2*b - 14. Let o(v) = 6*g(v) + 34*u(v). What is the derivative of o(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 divided by -10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 - 8*o - 9. Let w be i(-6). Suppose 0 = w*y - y - 26. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 118*g + 13986 = 116*g - 16*g for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((569844\/(-24))\/11)\/((-3)\/4)?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - t + 2*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-144)*1416\/71980*(-10)\/2?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 + 59*t + 360. Determine h(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udduaddaaiaaduuddu. Give prob of sequence di.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/407 + -11740\/8547. Let v = -17\/14 - g. Suppose -1\/2*u**3 + 0 + v*u**5 + 1\/3*u**4 + 2\/3*u - 2\/3*u**2 = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 15) + 7 + -8 + 4 + -8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -x, -2*x + 5*c = -0*x + 15. What is the units digit of (x\/(25\/4))\/((-1)\/810)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:22 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*n**2 + 11*n + 1 wrt n?\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 + 1149488904*t + 82582796276195076 = 0. What is t?\nAnswer: -143686113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((((n\/(n*n*n**(2\/3)\/n*n*n*n))\/n)\/n*n)\/n))\/(((n*n**(4\/3))\/n)\/n)*(n**12\/n)\/(n**(5\/9)\/n) assuming n is positive.\nAnswer: n**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7470\/(-585) - -12)*13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 687, 684, 681, 678?\n\"Answer: -3*m + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f + 6. What are the prime factors of u(3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -23*v. Let b(z) = 4*z**2. What is q(b(j))?\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = -0*m + k, k = -5*m - 27. Let s(d) = d + 10. Determine s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 8*m**2 + 20*m + 1. Let r be c(10). Let u be r*(-2)\/(-14)*4. What is the second smallest value in u, 0.5, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-481988*p + 4 + 61*p**2 + 481990*p - 5 + 2*p**3)*(2 - 6 + 1).\nAnswer: -6*p**3 - 183*p**2 - 6*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**3 - q**2 - 8*q + 13. Let v be o(5). Suppose 3*y - 16719 = -v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*v + 92*v - 4. Solve n - 4*g - 17 = 0, -3*n + v*g = -0*n - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 57. Let p = -11 - a. Let z = -5172 - -5175. What is the second biggest value in -5, p, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.03. Let j = -0.13 - k. What is the nearest to j in 0.4, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0148635927 - 1527\nAnswer: -1526.9851364073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 8958256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -161. Suppose -f*c + 105 = 16*c. Solve s - c + 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 197, 290, 383?\n\"Answer: 93*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-84) + 1*1\/(-7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -8. Factor 0*o**4 - 9*o**3 - 7*o**4 + 6*o**2 + s*o**4.\nAnswer: 3*o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 710715.3l?\nAnswer: 710715300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 938 + 547. Calculate the greatest common divisor of 154 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*b + 4 = -q + 172*b, -4*q - 2*b - 5*b = 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2643 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 6950374407486?\nAnswer: -6950374407486.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2634898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.292 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -15.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(1 - (-6)\/4). Let f = -10 + 43. Let g = f - m. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7160 + 114521\/16. What is the common denominator of 4\/14 - (-1286)\/(-140) and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639593856 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 16 + 7 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7650 = -2*q. Suppose -2*a + q = 5*l + 3*a, l = 5*a + 1554. Is 18 a factor of l\/65 - (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j + 6. Let s be q(5). Let c = -3 - s. What is the units digit of c\/49 + (-4)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:28 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1607, 6809, 15473, 27593, 43163?\nAnswer: 62177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t + 40*t - 2206 = -39*t + 4322 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 17*y + 2 - 8.\nAnswer: 17*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/sqrt(9)*-5 - (-5 + sqrt(252))**2.\nAnswer: -277 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -21.462?\nAnswer: 21.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14919 - 10136. Let x(v) = -d + 4783 + 18*v. Let p(u) be the first derivative of -u**2\/2 + 1. Give x(p(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + 57. Let j = 340 - f. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*f - 10 = 0, 4*f + 1 = 5*h - 6. Solve h*k + 10 = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*m - 19, -m - 4*m = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42611824 and 256.\nAnswer: 681789184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**16*((b**(2\/7)\/b)\/b)\/b**(-5) assuming b is positive.\nAnswer: b**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-2)*-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*c + 17*c + 242 + 127*c - 23*c.\nAnswer: 245*c + 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 387884 = -428960. Let r be (-1)\/((-7)\/(l\/58348) + 1). Let j = r + -45873. What is j rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -19*u**2 - 48*u - 9. Let f(i) = -10*i**2 - 26*i - 4. Let g(z) = 6*c(z) - 11*f(z). Let p(b) = 2*b**2 + b + 5. Calculate 4*g(k) + 9*p(k).\nAnswer: 2*k**2 + k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let i(u) = 12*u + 8. Let l(d) = i(d) + 12*m(d). Is 20 a factor of l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 150 = 132. Suppose -c*p = 5*s - 163, -2*p - 6*s + 5*s = -183. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 155. Let g = t + -106. Suppose d - g = -3*y + y, -5*d + 5*y = -85. Are 17 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 950 or 952?\nAnswer: 950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 = -42*m + m. Which is smaller: m or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2201\/616 - 1\/56. Suppose 0*g = -2*g + 8. Calculate the common denominator of 1\/g*207\/6 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225844*r - 225834*r + 451681*r - 6*r**3.\nAnswer: -6*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562.532nm in centimeters?\nAnswer: 0.0004562532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/(-28)*1*(-7)\/2. What is the third derivative of -24*p**2 + 30*p**3 - 5*p**2 + 2*p - 44*p**3 - p**t wrt p?\nAnswer: -24*p - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -4*k + j, -2*k + 3*j + 4 = 0. Suppose y = k*y - 120. Suppose -y = -2*o + 20. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -147, -223, -261, -243, -151, 33?\n\"Answer: 3*c**3 + c**2 - 100*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:44 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/9 - 49*b\/3 + 146\/9.\nAnswer: (b - 146)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -45*(0 - (-8)\/(-20)). Is s\/63 - (-348)\/7 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142875467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t - 230 = 0. What is the remainder when (t - (3 + -3))*-1 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**9)**(-1\/34))**34)**14 assuming f is positive.\nAnswer: f**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.1 and 2498698749.625.\nAnswer: 2498698736.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -314762700 to the nearest one million.\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290281, 290282, 290283, 290284, 290285?\nAnswer: 290286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3522 - -3525. Solve 20 = 5*s - 16*y + 21*y, -y = -h*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -1 - ((-16 + -2 - -14) + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6746, -0.8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 145 = -26*p. What is the smallest value in p, 3\/8, -11.6?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y - 2344861 = 22670. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 - (-12)\/(-3)). Let i = 6 + -6. Suppose i = -14*x - 4*x - 216. Is u greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**5\/60 - 5*w**3\/6 + w**2\/2 - 2. Let t(a) be the second derivative of k(a). What is t(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooqqqqqqooooqoq. What is prob of sequence oqoq?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(11 - (6 - -7))*2\/(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 2 r when four letters picked without replacement from rmfririr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 17*l - 46. Let m(f) = -2*f**2 + 52*f - 139. Let x(a) = -3*m(a) + 8*q(a). Calculate the remainder when 97 is divided by x(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 65*o + 126. What is the hundreds digit of j(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*p**2 - 6*p**3 - 160*p**2 - 2*p - 1 + 4*p**3)*(-5*p + p + 2*p).\nAnswer: 4*p**4 + 4*p**3 + 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6281216 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1107 + 587. Let n = o + 631. Calculate the highest common divisor of n and 888.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/7, 6.5, 0, 0.5, -11.59, -0.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 5*z**2 - 12 - 2*z**2 + z**3 + 7*z**2 + 135.\nAnswer: z**3 + 4*z**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 2*s**2 - 13*s**2 + 12*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (37\/((-2405)\/78))\/(2016\/4800)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2) + -6*(-4)\/48. Let s(p) be the second derivative of p - 5\/3*p**4 - i*p**2 + 0 + 0*p**3. Differentiate s(q) with respect to q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*((-8)\/(-3))\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 10:36 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**2 + 54*j**2 - 67*j**2.\nAnswer: -79*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101301.168 rounded to the nearest 10?\nAnswer: 101300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(91)\/(sqrt(21)\/sqrt(3)) + sqrt(13))**2*3.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 112 - (-8 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 7*a. Let j be v(-8). Suppose -3*t = -4*t. Let u be (-1)\/2*(j + t). Let r(m) = -7*m + 7. Let n(l) = 6*l - 6. Calculate u*r(h) - 5*n(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.75111 rounded to 2 decimal places?\nAnswer: -7.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127, 137, 147, 157, 167, 177?\n\"Answer: 10*t + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -56 + (1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 380b2b5 - 4?\nAnswer: 380b2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1535*n**2 - 4349*n**2 + 3*n + 36675*n**2 - 3*n to z*n + b*n**2 + k and give b.\nAnswer: 30791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (64 - 59)*(0 + 14\/(-10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 9, i: 8, s: 1}. Give prob of sequence us.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(285\/(-3433))*-2. Let t = 9\/380 - r. Let d = t + 73. Which is the nearest to -0.1? (a) 3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -19, -23, -27, -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 583 - 583. Solve 0 = -s*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.143? (a) -4\/11 (b) -0.1 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**3 - 60*y + 60*y + (y - 2*y + 0*y)*(6*y**2 + 4*y - 4*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/1 + 68 + (-7 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -15*l + 40. Let i(u) = -19*u - 5. Let s be i(-5). What is the remainder when 31 is divided by (-1)\/4 - s\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -0*q + 2*q, m + 3*q = 3. Suppose -m*v + 6*v = -9. Let h(s) = -4*s - 3. What are the prime factors of h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14155370?\nAnswer: 2, 5, 359, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 14*m + 20. Let c be d(-14). Suppose r - c - 90 = 0. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 305 = -5*h, 5*h - 118 + 413 = -3*q. Let r be 1353\/8 - 1 - (-7)\/h. Let o = -15 + 57. What is the greatest common divisor of r and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 6*w + 4*w)*(2 + 2 - 3)*(1 - 2 + 3).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(-2\/3)*z*z)\/z)*z)\/z**(1\/6))\/((z**8\/z)\/(z**(-6)\/z))*(z**(-2)\/z*z**(-1\/4))\/((z**6\/z)\/z**(-9)) assuming z is positive.\nAnswer: z**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 4. Let s(p) = -2*p - 2*p + l + p. Calculate the lowest common multiple of s(-5) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.1 times -2.67?\nAnswer: -149.787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83603*c**2 + 43177*c**2 + 43812*c**2.\nAnswer: 3386*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*c - c = 40, 0 = -4*k - 3*c + 32. Let y = -11 + k. Suppose 5*t = -x - y*x + 99, 3*x + 3 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 1 + 34. Let l(h) = -z*h**2 - h**3 + 3*h**2 - 2*h + 2 - 7*h**2. Is 8 a factor of l(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - (-10 + 19) - (11 + -35 + 20).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21238100 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -3*z - 3*z + 130. Solve -50*n = -420 + z for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 0, 0*p - p - 5*w - 25 = 0. Let h(n) = 2*n + 10. Calculate the lowest common multiple of 19 and h(p).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 less than -579374535?\nAnswer: -579374534.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:08 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1314*v - 1312*v - 1395*v + 4015*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11285909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g - 143. What is w(0)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1824936571 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10d + 4c6?\nAnswer: 5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23888.86 milligrams to tonnes.\nAnswer: 0.00002388886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdydryrrnnrnrnnrjr. Give prob of picking 1 r, 1 n, 1 j, and 1 d.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9502060 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6 - (-279)\/6. Suppose -3*f = -o - 13. Suppose f = 10*g - 5*g. Solve 3*s - g = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2482, -2549, -2616?\nAnswer: -2683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -12. Suppose -q + y*q - 1923 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239 and 4541.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -366*w**2 - w. Let q(j) = -202*j - 28. Determine q(y(f)).\nAnswer: 73932*f**2 + 202*f - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -300 and -0.9?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/a)\/a**(2\/9))**(-4\/5) assuming a is positive.\nAnswer: a**(188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 74904020*q - 1402653053040100.\nAnswer: -(q - 37452010)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 54. Let z be m(13). What are the prime factors of (0 + 79\/z)*(-27 + 17)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i, 702*s + 4*i = 699*s + 114. Solve 0 = -s*y - 20*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9887a0 - -3?\nAnswer: -988799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -1 - (sqrt(2)*1 + 2)) + sqrt(22)\/(sqrt(11)*-1) + -1)*2.\nAnswer: -8 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/w*w)\/(w**2\/w)*w**(2\/23)\/(w\/(w*w**(-6\/11))*w) assuming w is positive.\nAnswer: w**(-2899\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 17*g - 25. Suppose g*m = 8*m + 30. What is the tens digit of (32\/m)\/((-22)\/385)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-11) - (19845\/(-1188) - 225\/(-36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*b = -22, 0*b + b + 14 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 = -3*t, -2*t + 6*t = 3*w - 22. Suppose -3*p + 15 = 2*p. Let z = w - p. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.6063 + 0.0063. Let v = -30.6 - d. Put 0.1, v, 3 in descending order.\nAnswer: 3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72 (b) 5\/2 (c) 2 (d) -30\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20581632 to the nearest integer?\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -1.4. Let o = 0.82 + -1.13. Let d = -4.69 + o. What is the nearest to -0.3 in d, z, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6264 + -212?\nAnswer: -6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from qqqqqqaqqqqqqqqqqqa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qquuqq. Give prob of picking 3 q and 1 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {o: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/90*6\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/13)*m)\/m)\/m*m)**(1\/15)*m*(m**(-1)\/m)\/m*m*m\/(m*m**(-24)) assuming m is positive.\nAnswer: m**(4487\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 - 20502083?\nAnswer: -20502015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21223 + -10324. Let m = z - 10898.954695. Let f = 0.045 - m. Round f to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 75, 92, 131, 198, 299, 440?\n\"Answer: j**3 + 2*j**2 - 12*j + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -0.03?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8. Let d(p) = -2*p**3 + p**2 + 7*p. Let b(j) = -j**3 + j**2 + 5*j. Let v(t) = m*d(t) - 7*b(t). What is the third derivative of v(w) wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/18 and (22418154\/(-721305) - -31) + 4\/78.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1042 + 1042. Which is smaller: 20\/437 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -115. Solve l = 9*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-6)\/4) + 0)\/(-40 - 588294\/(-14697))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.29, -9, -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uczukkuyyu. What is prob of sequence ukcu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23276 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2335 and 50\/219023.\nAnswer: 1095115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {m: 5, j: 2, u: 1, s: 1, t: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllolllko. What is prob of sequence ll?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.684476 + 0.52443. Let n = j + 0.16. What is n rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 52*m**2 + 9*m - 2. What is the remainder when h(1) is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8760 and 42267.\nAnswer: 1690680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:41 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056*v - 26 - 1292 = -262. Suppose -4*i = -5*s - 25, -2*s = -3*s - 4*i + 19. Let c = 0 + s. Sort v, 3, c, 0.2 in decreasing order.\nAnswer: 3, v, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.36, 1\/3, -1\/3 in decreasing order.\nAnswer: 1\/3, -1\/3, -0.36, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 312 + 4?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3260 - 3205. What is the second biggest value in -0.1, 3\/4, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/156*72\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.72 - -12.7. Let x = -17\/2 + 7. What is the biggest value in x, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/169584 and 33\/1130560.\nAnswer: 3391680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -3*g - 447 + 417, -5*g + 5*o = 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 28 = -0*p - 5*p, -p + 7 = -d. Is d != 469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7487 + 76209 = 33*c - 13555. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 - 5*p - 4. Let w(k) = -2*k**3 - 2*k**2 + k. Suppose -6*m + m + 10 = 0. Let x be 6\/m - 7 - -2. Let g be w(x). Determine h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40809 or 40595?\nAnswer: 40595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2*d**3 - 4*d)*((1 + 2 - 1)*(3*d - 3*d - 2*d) + 2*d + 1 - 1 - 3*d + 2*d + 4*d + (-1 + 5 - 3)*(2 - 2 - 2*d))*(-106*d - 218*d + 111*d).\nAnswer: 426*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 15 = 0. Suppose -3*t + 287 = 2*p, t + 4*p - 109 = 6*p. Suppose s*m - t = -9. Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**2*r**3 - n**2*r**2 - 2*n**2 + 3*n*r**3*y**2 + 5*r*y**2 wrt r?\nAnswer: 126*n**2 + 18*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**2 - 2 - g**2)*(-g - 4*g - 4*g).\nAnswer: -9*g**3 + 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0451863 to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30828, -30830, -30834, -30840, -30848?\nAnswer: -30858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -8. Let i be 1 + k + -5 + 3. Suppose 4*n + i*n = 12. Solve 0 = -n*f + 5*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -62*f**4 - 398*f**3 - 400*f**2 - 88*f - 8. Let q(r) = 21*r**4 + 133*r**3 + 133*r**2 + 30*r + 3. Let i(w) = 3*k(w) + 8*q(w). Factor i(j).\nAnswer: -2*j*(j + 1)*(j + 6)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3465 and 27972252.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 7. Let y(x) = -2*x + 6. Let t(z) = 6*j(z) + 7*y(z). Let b(l) = -l. Calculate t(b(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (4 - (8 - 23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4858 - -4857.92. What is the closest to 3\/4 in 0.3, -5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15895 is divided by 7833.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.313 - -583.687. Let f = 589 - k. Which is the nearest to -2\/7? (a) -0.4 (b) -3\/4 (c) f (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 220 - 63?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 6*z - 49. Let j be f(18). Let r = j - 21. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxxr when four letters picked without replacement from {r: 6, x: 4, o: 7}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(-16736)\/5230.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/(18\/81)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.42 + 5.6. What is y rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2339, -2369, -2413, -2477, -2567, -2689, -2849, -3053?\nAnswer: -3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i + 54*i + 2 = 0. Which is smaller: -1\/121 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/((-4720)\/1856) - -23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 228, 280, 292?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7524 = -7040*d - 6914*d + 13840*d for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 3. Let x(n) = 16*n - 16. Let g(k) = 22*r(k) + 4*x(k). Suppose w + w = 4*p + 2, 5 = -4*p + 5*w. Suppose h + p*h = 2. What is g(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/19 and -20\/51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1409046.\nAnswer: 2\/704523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 20*i**2 + i + 2. Let x = -55 + 53. Let o be b(x). Let j(z) = -80*z - o*z + 158*z. Let c(y) = -18*y. Give j(c(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*j = 3*p + 30, -j = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/12)\/((-2)\/6). Suppose 5*z - 80 = o - 5*o, z + 3*o = y. What is the greatest common divisor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 17. Let g be s(6). Suppose -6*t + 7*t = 5, -g*x - 3*t + 38960 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + 1911\/(-12). Let b = i + 257. What is the smallest common multiple of 12 and b?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 29 + 3. Let j(g) = 0*g + 4*g - a*g**2 - 7 + 17*g**2. What is the remainder when j(-9) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(9) - sqrt(9)*2)*4 - sqrt(9)) + (sqrt(441) + sqrt(9) + sqrt(9))*-6)\/((sqrt(9) - -5*sqrt(18)\/sqrt(2) - sqrt(9))\/(sqrt(108) - sqrt(27))) + 1)**2.\nAnswer: -354*sqrt(3)\/5 + 94012\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -6, 1.37486?\nAnswer: 1.37486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27 from -26.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 + 5*r - 5. Let z(c) = -7*c**2 - 11*c + 11. Let y(d) = 5*a(d) + 2*z(d). Let h(n) = -n + 5*n + 0 - 4 + 7*n**2. What is -3*h(p) + 4*y(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*0\/(-3 + -2). Solve 2*q = -r*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(833) + 3 + (sqrt(833) + (sqrt(833) - (-2 + sqrt(833) + sqrt(833) + sqrt(833))))*-6 + 4*(sqrt(833) + 0 + sqrt(833))*2)*3)**2.\nAnswer: -22680*sqrt(17) + 2999529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 174. Determine z(-15).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/60 - 3*o**2. Let z(x) = 10*x. Let u(w) = 10*w. Let a(d) = 2*u(d) - 3*z(d). Determine c(a(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/(-27))\/7)\/((-4)\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**5\/2 - 155*q**4\/8 - 1015*q**3\/6 - 2245*q**2\/4 - 690*q - 3196. Determine r, given that v(r) = 0.\nAnswer: -23, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/47 + 83\/94. What is the closest to y in -1, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 324. What is the lowest common multiple of 48 and w(-44)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 10 + 13 + (2 - 2 + 1)*(1 + 1 - 4))*(-4 + 2 + 0)*(3*g + 0*g - 5*g).\nAnswer: -108*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 2414.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3878.108 - 3855. Let n = v + -0.148. Let u = n + -23. Which is the biggest value? (a) 5 (b) 2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10.7. Let y = 5.04 + -3.04. Sort p, y, -2, -4 in ascending order.\nAnswer: -4, -2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10. Let a(r) = 4*r**2 + 5*r + 5. Let l(o) = 5*o**2 + 6*o + 6. Calculate b*a(k) - 5*l(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-12) - 32\/66. What is the closest to -0.3 in -2\/9, d, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -8, -3, 5.\nAnswer: -8, -3, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -67*u**2 - 5*u + 12. Let j be d(2). Let x = -193 - j. Calculate the smallest common multiple of x and 6.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13252850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:02 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:13 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 152. Suppose 2*t - z = 6. Let y = t + -11. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-12 + (-9 - -10) + 43)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/30 + (-2)\/3. Which is the biggest value? (a) o (b) 0 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 1. Let s be u(1). What is the lowest common multiple of ((-1)\/(-2))\/(2\/12) and (-6 - -3)\/((-3)\/s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-6)\/4*104\/39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-425)\/(-175))\/17*7. Which is smaller: b or 2\/54265?\nAnswer: 2\/54265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 5. List the prime factors of i(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + b + 40. Let n be j(0). Let p = 15 + n. Suppose p = -0*z + z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -0.1635.\nAnswer: -8.8365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s + 35. Determine w(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.96912mm to kilometers.\nAnswer: 0.00007496912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let v(n) = 74*n - 3*n**2 - 74*n. Determine -7*s(o) + 2*v(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*n + 322. Let s = n + 362. Let k(a) = s*a - 1 - 401*a + 202*a. Calculate k(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 706 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 - 15*a**4 - 230*a**3 + 840*a**2 = 0.\nAnswer: -7, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -20*o + 91. Suppose o*x = 18*x - 75. Calculate the least common multiple of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (21 - 4) + 4 - (-4 + 6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -9. Let v = -8 + w. What are the prime factors of v\/(-6) + 1719\/54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*j*n*t**2 + 2*j*n*t - 743*j*n + 2*j*t**2 + 2*j + 75*n*t**2 + 7*n*t wrt t.\nAnswer: 136*j*n + 4*j + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -20. Let j = 30 + r. Is 981 + j\/((-10)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 878 + 629. Is 55 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -25*v + 20*v + 5452, 2*m - 3271 = -3*v. What are the prime factors of v?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22114024 a multiple of 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033768 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477994.\nAnswer: 2, 2238997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 61 = 59 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 7) to base 16\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-1440))\/((-3)\/4).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.33518 + -12.166407. Let z = 8.83 + n. What is z rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 (base 10) in base 9?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*y - 22, -3*i + 29 = -4*y + 2. Solve -5*k = 2*p + i, 3*k + k - 5*p + 37 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 8. Let n = -141 - -146. Suppose n*c = 148 - 148. Give w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 (base 15) in base 3?\nAnswer: 21021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1118 * -0.3571\nAnswer: 399.2378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(66)\/(sqrt(3)*1)*-3)\/(3*sqrt(20)\/(sqrt(10)*-1)).\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + -5. Suppose -12 = -2*f - 2*j, 171*j - 173*j = -6. What are the prime factors of (9\/f)\/(-2 + (-139)\/d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.876858 millennia?\nAnswer: 6876.858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (6\/6)\/(4\/880)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 2*t)*(-2*t - 3*t + t) + (t - 3*t + 4*t)*(3*t + t - 2*t) - 4*t**2 + t**2 + 0*t**2 + 4*t**2 - 2*t**2 + 0*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55994, -55941, -55872, -55781, -55662, -55509, -55316, -55077?\nAnswer: -54786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.3. Let p = 0.1 + 0. What is the nearest to p in j, -1\/4, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 337 - 330. What is the third derivative of 116*o**2 + y*o**3 + 4*o**3 - 32*o**3 + 14*o**3 wrt o?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31331606 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 3, y: 1, i: 1, s: 8, f: 2}. Give prob of sequence to.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35438 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/43781 - 3458655\/963182. Let y be (16\/24)\/((-1)\/(-48)). What is the common denominator of 2\/2 + 170\/y and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**5 + 394769*i**4 + 50568850*i wrt i.\nAnswer: 280*i**3 + 4737228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(2*j**2 - 2*j**2 + 2*j**3) + 4 + 5*j**4 - 4 + (8*j + 4*j + 7*j)*(2*j - j**3 - 2*j).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31 - 31 - 918*w**2 + 136 - 34 - 175*w - 39 wrt w.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -105, -128, -169, -234, -329, -460, -633?\n\"Answer: -q**3 - 4*q - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxxxt. Give prob of sequence xx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -83*j - 3. Let m be b(-1). Calculate the greatest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31443120 (base 7) in base 3?\nAnswer: -12000110100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 207973 = 208141 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 9*f - 13. Let b be u(4). Sort -3, b, 4, -5 in descending order.\nAnswer: 4, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*v + 458*v - 9*v - 149*v.\nAnswer: 584*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1799 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 58*f**3 - f**2 - 15*f - 2. Let m(c) = -115*c**3 + 2*c**2 + 35*c + 3. Give -7*b(r) - 3*m(r).\nAnswer: -61*r**3 + r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60 and -67\/165?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 3, j: 8, b: 6}. Give prob of sequence iv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11703640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 19*p**2 - 47*p - 94. Calculate d(14).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (1090 - 0) - 2. Suppose 4*v = r - x, -4 = -2*r + 6. Let d = v - -409. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -942\/30859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 6, k: 1, d: 2, o: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314015291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -13*v**9\/126 + v**8\/112 + 89*v**5\/10 - 563*v**2 + 5. What is the third derivative of j(z) wrt z?\nAnswer: -6240*z**3 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -15310?\nAnswer: -15311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2. Let h be b(-3). Let p be 2\/(-1) + (-14)\/h. Is (0 + 114)*p\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -13?\nAnswer: -75\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182968 (base 10) to base 16.\nAnswer: -2cab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n)\/(n*n*n**(-2))*n**4*n**(-3)*((n*n**(-1\/3))**(1\/15))**(1\/38) assuming n is positive.\nAnswer: n**(-2564\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18969, -306, 4 in decreasing order.\nAnswer: 4, -4, -306, -18969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 12*m**2 + 4. Let o be j(12). Suppose o*q + 36 = 4*y, -q = -3*q + y - 16. Let g = q - -12. Solve g*n - 3*l - 14 + 4 = 0, -n = -3*l + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 6*w - w + (1 + 0 + 0)*(w + 2*w - 5*w))*(0 + 17 + 2) to the form b + j*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (-4 + -1 + sqrt(275) - (-6*(sqrt(275) + 1) - sqrt(275)))))**2.\nAnswer: -960*sqrt(11) + 70436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 31310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 5\/6*z**4 + 0*z**2 + 18*z + 0*z**3. Let q(a) = -a**2. Give -8*q(s) - v(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p**3 - 6. Let u(c) = -18*c**3 - 7. What is 6*u(h) - 7*w(h)?\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + -4*sqrt(44)\/sqrt(4) + sqrt(11) + -5 + sqrt(704) + sqrt(11) + -1).\nAnswer: -24*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -96, -94, -92, -90, -88?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, 1 x, and 1 o when four letters picked without replacement from xvnvoovxunonnoounvv?\nAnswer: 125\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + u + u. Solve -9*s + 4*s + 25 = u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4 + 5 + 8*n**3 - 5*n**2 - 4*n**3 + 4*n. Let j be c(2). Let d = j - -11. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + b + 3*b = 0, 11 = 5*a - b. Calculate the lowest common multiple of a and (-4)\/5 + 7844\/530.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 207 = -49*s + 28. Solve 5 = -5*g, -27*g = s*v - 26*g - 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34940873 divided by -1?\nAnswer: 34940873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114303 (base 7) in base 14?\nAnswer: 77aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3104011112 (base 5) to base 2\nAnswer: 11000000101010101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 49515, 9, -5 in descending order.\nAnswer: 49515, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 20\/3 (c) 2 (d) -3\/5 (e) -430 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 131275 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/(-20)*(5 + -1). Let h be 252\/8*(-30)\/c. Let m = h + 10. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 74*r**2 - 1282*r - 16074 = 0.\nAnswer: -47, -9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 1. Let x be k(-6). Suppose -5*u + x = 3*c, -6*c = -3*c + 3*u - 15. Is (4 - 2 - c)*35 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7)*b\/((b*b*((b\/b**0*b*b)\/b)\/b)\/b))**(-3) assuming b is positive.\nAnswer: b**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -27. Let d = s + -14. Let o = 21 - 11. Which is the third biggest value? (a) o (b) d (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/3 + 73*l**4\/3 + 76*l**3\/3 - 148*l**2\/3 = 0.\nAnswer: -2, 0, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 16*l. Let r be v(8). Suppose 2*x = r - 58. Solve -5*b + 37 = -x*p, 0*b + 16 = 4*b + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-10)*1220\/3. Round h to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-2 - -7) + (-4 - -4) + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -90. Let s = -62.9999796 - a. Round s to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {j: 3, k: 2, e: 7, p: 7}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -124407.1771787676.\nAnswer: -124405.1771787676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3 - 3*r**2\/2 + 6. Solve a(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 0.7702?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2653 = -2*d. Let s = d + 384. Sort -2, s, 1, -4 in decreasing order.\nAnswer: s, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, -159409, -3 in increasing order.\nAnswer: -159409, -13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 73*((-2)\/(-3))\/((-16)\/(-24)). Suppose -k*x + 77*x - 432 = 0. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 9:33 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 - 4. Let r(a) = -2*a - 32. Let s be r(-17). Let o be (-6)\/((-36)\/34) + s\/(-3). Sort o, z, -4, 4.\nAnswer: -4, z, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 5. Let k be (-46)\/4 + 27\/18. Let c = 15 + k. Give y(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 55\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g - 1. Let b(t) = 13*t - t - 5*t - 9*t. Determine i(b(m)).\nAnswer: 16*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*g**3 + 28*g**3 + 1 + 12*g**2 + 0*g**2 wrt g.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 3*f + 3. Let r = 11 - 11. Suppose r = -5*b - 5*y - 50, -3*b + 0*b + 2*y - 10 = 0. What is the tens digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 78 = 6*j. Suppose -j*t + 24017 = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 16) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1304, -5230, -11774, -20936, -32716, -47114, -64130?\n\"Answer: -1309*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 7*k + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -89436\nAnswer: -5\/89436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459 - -592. Calculate the remainder when 273 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/1997490 and 149\/150.\nAnswer: 9987450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide ((-33)\/(-11))\/((-6)\/(-44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2. Let c(u) be the third derivative of -u**4\/4 + 18*u**2. Calculate c(q(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 12:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 + 7*t - 1. Let b be f(6). Suppose 4*q + 19 = -3*m, 5 = -m - m + b*q. Let v = -2 - m. Solve i + 25 = -5*o + v, -3*o = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -576, -16, 0 in increasing order.\nAnswer: -576, -16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -66, 3, -111 in increasing order.\nAnswer: -111, -66, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**4 - d**2 - 1. Let t(y) = y**5 + 5*y**4 + 19*y**3 - 5*y**2 - 45*y - 7. Let s(r) = -5*p(r) + t(r). Find the second derivative of s(g) wrt g.\nAnswer: 20*g**3 + 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -641 - -752. Is 37 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14202 - 5?\nAnswer: -14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, f: 5}. What is prob of sequence ffnf?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 69.3. What is the third smallest value in -4, 5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 496566*k**2 + 55587168*k - 1556177280.\nAnswer: 3*(k - 165410)*(k - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - 18*a**2 + 4*a + 36. What is the least common multiple of 35 and v(-11)?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**3 - 3*p**2 + 7*p + 7. Let c(h) = -6*h**3 + 2*h**2 - 6*h - 6. Let w(q) = -6*c(q) - 5*k(q). Calculate w(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 199784761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435704, -871410, -1307114, -1742816, -2178516, -2614214, -3049910?\nAnswer: -3485604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54067*i + 54101*i = 238 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(2\/2))\/(-1). Suppose h = -k + 35 + 11. Suppose 4*i = 14*i - 160. Calculate the remainder when k is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10426265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 90, 128, 214, 366, 602?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + 3800\/209. Let u be 5 + (-30)\/z - 4. Which is the third smallest value? (a) -0.5 (b) u (c) -3\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - 4.25. Let u = j + 0.08. Which is the closest to -0.1? (a) u (b) 2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*j*w**3*x - 2*j*w**3 + 5605*j*w**2 - j*x - 14*w**3*x - 456*w**3 - w**2*x - 33*w**2 wrt w?\nAnswer: -630*j*x - 12*j - 84*x - 2736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 5*c - 8 + 38, 4*q + c - 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:40 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q**(-2\/3))\/((q\/(q\/(q*q\/q**2*q)))\/q*q*q**(-2)*q*q*q*q))**36 assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 16*n + 7. Let c(u) = -4*u**3 + u + 1. Let t be c(-1). Let q(l) = 6*l**2 + 31*l - 13. Let v(m) = t*q(m) + 7*h(m). Is v(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 3*p**2 + 4*p - 2. Let j be w(2). Let k(a) = 2*a - 175*a**2 + 91*a**2 + 2 + 85*a**2. Let i be k(-1). Sort i, j, 4.\nAnswer: i, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o + 137*o + 1055 + 1106 - 3267 + 1106.\nAnswer: 92*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 - 4*r + 5. Let z be a(-5). Does 33 divide 3178\/10 - (-2 - 3)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, 0, -7, -5, 37 in decreasing order.\nAnswer: 37, 5, 0, -1, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82ce3d (base 15) to base 3\nAnswer: 102201000011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171348296569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56443 (base 7) to base 10\nAnswer: 14290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92 and 2.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51c7 - 1?\nAnswer: -51c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 7. Calculate b(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321520510 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(468)*1*3 - (0 + sqrt(117) + 3))**2.\nAnswer: -14670 + 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11112440 - -140?\nAnswer: 11113130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -28*z + 138. Let d be f(5). Sort d, -1, 23, 8 in decreasing order.\nAnswer: 23, 8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*n - 157891 - 216064. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92137 and -30.8?\nAnswer: -2837819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*i\/(i\/((i\/(i**(5\/4)\/i))\/i)))\/((i*(i\/i**(-6))\/i)\/((((i*i**8*i)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100500 and 536.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193*s**2*x - 2*s**2 + 28*s*x**2 + 24*s - 63 wrt x?\nAnswer: 193*s**2 + 56*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*z - 70, 2*z - 129 + 39 = -c. What is the highest common divisor of 220 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2481138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1360554 divided by -6.\nAnswer: 226759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-4) - (-72)\/32. Is c bigger than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, -0.7, -1\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 236821278.7 to the nearest 1000000.\nAnswer: 237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(2 + 7 + 7)*(-41 + 92 - 34)*(5*m + 1 - 3*m + 0)*(-1 + 3 - 1) to the form t*m + p and give t.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 17*m - 354. Give j(19).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38820 divided by -5.\nAnswer: -7764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 805*n**6 - n**3 + n**2 - 424*n?\nAnswer: 96600*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.941 rounded to 1 dp?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b99128 + 4?\nAnswer: 1b99130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:50 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**7\/105 - b**5\/15 + b**2\/2 + 2*b. Let o(p) be the first derivative of i(p). Find the third derivative of o(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/3 + 56735*p**3\/9 + 12605*p**2\/3 - 44125*p\/3 + 37822\/9 = 0 for p.\nAnswer: -18911, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271045386?\nAnswer: 2, 3, 23, 218233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 98663, 197339, 296015, 394691, 493367, 592043?\n\"Answer: 98676*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 36. Suppose 0*c - r = d - 4*c, 5*d = -c + 50. Let p be 80\/45 - (-2)\/d. Solve 3*o + p*a + 10 + 8 = 0, -3*o - a - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 260*u**2 - 499*u + 6831. Calculate a(-262).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 300 - 160. Suppose -2*a + 717*x + 81 = 716*x, -a + 5*x + 72 = 0. Calculate the remainder when w is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 = -2. Suppose 24 = w - l. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*z = z + 160, 5*z = -3*u + 102. Let t = u - 7. What is the units digit of t\/1 - (-1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 325076 or 325085?\nAnswer: 325085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 2, u: 1, e: 2, c: 4}. Give prob of sequence pu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68.1 - 68. Let n = -17 - -12. What is the closest to x in 1, 2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {n: 4, z: 5, p: 1, k: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 20*r + 56 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15504 - -21812. List the prime factors of g.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - t**4 + 1 - 3*t + 2*t**4 + 3*t + (-2*t + 2*t - 2*t)*(5*t**3 - 5*t**3 + 2*t**3) - 15*t**4 - 257*t**4 - 151*t**4.\nAnswer: -426*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 868 and 99442916?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p - 71*p - 72*p + 208*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 18, -1, 1 in descending order.\nAnswer: 18, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 + 1152*u - 37774.\nAnswer: -2*(u - 5151)*(u - 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 10*a - 7*a. Let v(j) = -9*j - 17*j + 4*j - 2*j - a. What is the units digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11355*h**3 - 90 + 22563*h**3 - 11289*h**3 as t*h + a*h**3 + o + j*h**2 and give o.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381*k**2 - 540*k wrt k.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111153022 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 11, -9 in increasing order.\nAnswer: -9, 3\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129858 is divided by 402?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1943 and -2.\nAnswer: -3886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**3 + 2*g**2 - 1. Suppose -i - 4 = -4*z, -4*z - i + 2 = 6. Let f(y) = 4*y**2 - 6. Let x be f(z). Let v be ((-5)\/3 + 2)\/(2\/x). Give h(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*z - 2 + 3*z + 2 to a + p*z and give p.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(6\/7)*(g\/(g**(14\/9)*g*g))\/g*g**(-5\/3)\/g*g**(-1\/11))**(4\/27) assuming g is positive.\nAnswer: g**(-12352\/18711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 217 = 2*o + 2*s, 0 = -o - 4*s + 104. Find the first derivative of -o*t**2 - 5 + 42 + 97*t**2 wrt t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h + 2. Let t(q) = q**2 - q + 2. Let d(w) = 4*a(w) - 3*t(w). Let n(g) = g + 1. Let y be n(-1). Determine d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + z - 11, y = -2*y + z + 25. Suppose 1 + y = 5*m. Suppose 3*w - 2*w - m = 0. Solve -3*s + w = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 4 (b) 3 (c) 1\/10 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1999 - 3165*i**3 + 2005 - 4007 + (0*i**2 - i**2 - i**2)*(3 - 3 + 2*i) to r*i**3 + c*i**2 + k + d*i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**5\/60 - 22*p**2. Let o(b) = 11*b. Give v(o(w)).\nAnswer: -121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -2 + (-5 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-29)\/(-9) - 3) + (-1060)\/(-9). Let y = -53 + l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10362 to the nearest 100.\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1017*c**4 - 5108*c + 4*c**2 - 8814*c + 3062*c + 74*c**2 + 1011*c**4 wrt c.\nAnswer: -72*c**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*j**6 + 3*j**4*k - 458*j**2*k wrt j?\nAnswer: 3240*j**3 + 72*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/11788 and -31\/36.\nAnswer: 106092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 106*r**2 - 114*r + 743. Determine w(107).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 248730706?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o - 1. Suppose 0 = -3*n + 1 - 4. Let d be m(n). Let i = 21 - d. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**6\/36 + o**4\/24 - 4*o**3\/3 + 160. Let v(r) be the third derivative of f(r). Determine v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130111 + -3?\nAnswer: -130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 202783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -306931409.\nAnswer: -306931409.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19675 (base 13) to base 14\nAnswer: 1403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (315\/126)\/(5\/8). Let p = 2 - 2. Let h = 0.1 - p. What is the closest to 0.2 in h, d, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77824105?\nAnswer: 5, 31, 61, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 21*l + 66 + 3 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 26*y - 12. Let j(z) = 3*z**3 - 4*z - 4. Let o(v) = -5 - 6 + 0*v - 11*v + 8*v**3. Give y*o(w) + 11*j(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11132 and 1240965.\nAnswer: 54602460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**2 + 1. Suppose 4 = a + 4*n - 6, 2*a - 10 = -3*n. Let u(k) = a - 2 + 0 - 2*k. Give f(u(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 54 = 18*c. Solve 0 = -c*h + 6 - 51 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.7 - -1.7. Let w = 13.7 + o. What is the second biggest value in -0.1, 0.2, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*(134\/(-1876))\/((-2)\/(-4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-40)\/(-4 - -3). Differentiate x*u + 52*u + 32*u - 4 wrt u.\nAnswer: 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b**2. Let u(x) = 127 + x**2 - 127. What is u(j(m))?\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k. Let d(f) = -f - 3. Let a(i) = 2*d(i) - m(i). Let v(g) = 16*g - 18. Determine 10*a(l) - 3*v(l).\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -1 + 1\/480*h**6 + 0*h**3 + 1\/280*h**7 + 1\/24*h**4 + 27*h**2 - 1\/30*h**5 + 0*h. Solve n(s) = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 11. Let x(q) = -4*q**2 + 11*q - 4. Let d be x(4). Let p be (-3)\/2*d\/18. Solve -p*f = j - o, 3*j + 6 = 4*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243) + -1)**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and ((-165)\/(-45) + -11)*(0 + (-2)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = 1046*p - 1077*p. Let c(f) = -6*f - 4. Let y be c(-3). Calculate the remainder when y\/(-2 - 48\/(-21)) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-8)\/10) + (-21)\/21. What is the second smallest value in 0.13, 1\/3, r?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g + 2. Let i be 1\/(1*(-3)\/12). List the prime factors of h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 15*k - 8 + 32*k.\nAnswer: k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k - 94796 = -18*k + 5*q, -3*q = 6*k - 568611. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.7 + -36.7. Let i = -332.92 + 333. What is the closest to o in -0.2, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -864 + 1573. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o + 2. Let c be q(-3). Let t = c - -10. Let l(p) = -p - 2. Let k be l(-5). Solve -x = 3*s + 17, -x + 5*s = k*s - t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y - 225. Let o be x(-29). Suppose 0 = o*r + 17 - 10. Which is the third biggest value? (a) 3\/4 (b) -3 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4856*l - 38976.\nAnswer: 2*(l - 8)*(l + 2436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 8*x**2 - 4*x + 3. Give u(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 16*m**2 + 16*m + 10. Suppose -3*y + 2*y = 0. Suppose y = 2*k + 2 - 34. Let l(b) = 2*b**3 - 5*b**2 + 5*b + 3. Determine k*l(r) - 5*j(r).\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89956?\nAnswer: 2, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 2*y**3 - y**3 + (-4*y**2 + 3*y - 3*y)*(10 - 5*y - 10) + 0*y**3 + y**3 + 3*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -12a5b1?\nAnswer: -12a5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 482252*i*t**3 + 28453*i*t**2 wrt t?\nAnswer: 2893512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 715, 714, 713, 712, 711?\n\"Answer: -i + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1249.9997747 - 1250. Round b to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687207952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/(-8)*12\/(-15) + (-90)\/8 and -57\/3092?\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooxbxoboqxqqbqbqqoq. Give prob of sequence bo.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) + sqrt(170) + (sqrt(170) + 6*sqrt(170)*-2 - sqrt(170)) + sqrt(170))*-2)\/(-5*(sqrt(810) + -1*sqrt(810)) + (sqrt(810) - 3*2*sqrt(810))).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*k + 1 + 4 = 0, -d - 15 = -4*k. Let u be 0 - 3 - (d - 17). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiit. Give prob of sequence hi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235262 and 338594?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 5*l**2 - l + 2. Let b be a(4). Let v = b - 32. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -19335b?\nAnswer: -193360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, -990\/19, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 44 = -4*p, -11 = -3*t + 4*p + 25. Let h = 563 + -387. Suppose 34*o - 45*o + h = 0. What is the highest common divisor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38392 - -38392. Let h = -85555\/52976748 + -1\/43388. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5976 - 5443. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = j - 9, 1 = 5*j - 5*s + 16. Let y = 238 + -220. Let k = y - j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165.01 + -165. What is the closest to d in -1, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 267?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 745, 604, 413, 166, -143, -520, -971?\n\"Answer: -o**3 - 19*o**2 - 77*o + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -33. Suppose 5*q = 5*t - 170, q - 170 = -b*t + 4*q. Suppose 3*x = -a + t, 2*a = -x + 16 + 47. Sort -3\/4, -0.4, -1, a in decreasing order.\nAnswer: a, -0.4, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 16*w - 19. Suppose -x + 12 = -a, -48*a + 18 = x - 46*a. What is f(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42 + -37 + (-6 - -1))\/(-1))\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701*i + 690*i + 77 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -990923 * -1.\nAnswer: 990923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:23 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/18 and -91\/6372.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (-97)\/(-6) + 9\/(-54).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -0*o + 5*o. Let g(n) = -13*n**3 + n + 1. Let l be g(-1). Suppose -5*h + z + o = 0, 0*h + 3*z = 4*h - l. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 7*b = -33*b - 276 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-67785)\/27)\/((-110)\/66). Let y = -1505 + d. Find r such that y*r - 2\/3 - 2\/3*r**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4987 divided by 1028\nAnswer: -4987\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 5 = -25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 8*p - 6*p - 10*p - 4*p**3 to the form i*p**3 + n*p**2 + q + x*p and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 3)*(350*m - 323*m - 3316*m) to the form n + o*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -501*t - 2315. What is the remainder when 19378 is divided by r(-5)?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -17 + 2. What is h in -5*h**5 - 5 + 6 + 2*h**2 + 5*h - 3*h**4 + 4*h**5 - 2*h - 2*h**n = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12638.991 months in millennia?\nAnswer: 1.05324925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/10 - 4*(-1 + 2). Suppose s*l + 1201 = g + 3*l, 0 = -5*g - 4*l + 6049. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let v(f) = 12*f**2 - f + 73. What is h(v(s))?\nAnswer: 12*s**2 - s + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 - 37. Let d be g(-10). Suppose 0 = -5*m + 112 + d. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 12:35 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128100 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4294 and 452?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414461*z - 414461*z + 40*z**2.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 20. Give d(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 130*k**3.\nAnswer: 2*k**3*(k - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwjjhnhnnjn. What is prob of sequence fnnj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5272957736443\/533779 - -9878541. Let p = m + 14228946843\/5337790. Let z = p - 2662. Calculate the common denominator of -22 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**6)\/(x**7*x*x))**(-27)\/(x**(-3\/2)\/x**(1\/2)*x*x**(-1)*x*x\/x**(-4)) assuming x is positive.\nAnswer: x**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -162924 < -162925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) -4 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17423, 129, -4, -6, 0 in decreasing order.\nAnswer: 17423, 129, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2983*w + 3479*w + 254*w - 769*w - 355*w in the form t + l*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 294\/5, -2, 0.034 in descending order.\nAnswer: 294\/5, 0.034, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2 + (-23 - 2). Let m = -12 - n. Suppose -5*u + 0*u = -15. Solve -2*t = 2*q + 10, -2*t - u*t = -5*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*i**4 - 826*i**2 - 2 - 826*i**2 - 827*i**2 + 2445*i**2 wrt i.\nAnswer: 5208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/2 - (11 - (-336)\/(-16))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 33. Let l = -9 - -5. Let j = 10 + l. Let r be c(j). Solve 4 = r*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.732055 rounded to 2 decimal places?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 + 99*y**2 + 0 + 102*y**2 - 2 + 68*y**2 to g*y**2 + c*y + t and give g.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-240))\/(7\/(-42)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(152)*3*-4 - sqrt(152)))\/(-6*sqrt(968)*-2).\nAnswer: 13*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4403545 - 0?\nAnswer: -4403545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*d + 12, -3*q - d + 14 = 1. What is the closest to 1\/5 in q, 1\/11, -4\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-124)\/(-1054))\/(0 + -1). What is the closest to -11 in h, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3789 times -0.012\nAnswer: -0.0045468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyxyyyxyycyyx. What is prob of sequence cyxy?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 53042.1 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -736 * -57\nAnswer: 41952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 33 = 5*v, 8*v - 297708*k = -297701*k + 150 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4253402 divided by 2126701?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6919 - 6859. What is the remainder when 1791 is divided by g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 58270 = -35650. What is the lowest common multiple of 36 and h?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/6, -43 in ascending order.\nAnswer: -43, -2\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 9. Let q be 4\/26 - (-1209)\/(-169). What is d(q)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, y: 11}. Give prob of picking 2 y and 2 v.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 407342936 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3464*z**5 - 72*z - 18.\nAnswer: 69280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunnuuulnwnwnuwnun. Give prob of sequence ulw.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 218*w**3 - 2 - 216*w**3 - 218*w**3 + 5*w**4 + 651*w**3 as i*w + q*w**4 + p*w**3 + n + l*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352 - 350. Suppose w*x + 66 = 100. Solve 5*u - 3*b = x, 2 - 9 = -3*u + 5*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/40*m**6 - 1\/350*m**7 + 3\/40*m**4 + 0*m**3 - 7\/100*m**5 + 0*m + 4*m**2 - 2. Factor y(r).\nAnswer: -3*r*(r - 3)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/14)\/k**10)\/(k**(-1\/23)\/((k\/(k**(-24)*k))\/k)) assuming k is positive.\nAnswer: k**(4177\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7219?\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 25 = -9*b. Suppose 4*k = k + 5*v + b, -3*v = -3*k + 6. Suppose k*u - 44 = -10. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/2 + (-2318)\/(-988). Which is the nearest to 0? (a) 2\/11 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*p - 12067 = 9731 - 6327. Calculate the highest common factor of p and 273.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -200*c - 99. Let h(q) = q**3 - 3*q**2 - 2*q - 12. Let i be h(4). Is y(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 36 + 58 = y, -2*y = -o + 94. Suppose 2*g + 0*u + u - o = 0, g - 52 = -3*u. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*m = -0*m + 25, -5*r - 2*m = 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67335248?\nAnswer: 2, 43, 97871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21843 or -152898\/7?\nAnswer: -21843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1430*-1\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3016967.\nAnswer: 83, 163, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4006428 to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.996, -2\/13, 7\/5, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010592454 to four dps.\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 36*l + 258. What is g(17)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 14 = o, -218*n + o = -111*n - 220 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -3. Let q = n + 8.2. Which is the biggest value? (a) -4 (b) 2\/21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1590 + -9539\/6. Which is the third smallest value? (a) -0.5 (b) 30 (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 15?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*n + 159 - 158 = 0, 0 = -5*w + 3*n + 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79*p + 15 - p - 10*p + 26*p**2 - 82 - 33 + 2*p**4 + 18*p**3.\nAnswer: 2*(p - 2)*(p + 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -37.\nAnswer: -77\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*r - r. Let b = r + -25. Let p(g) = 4*g**2 + 3*g. What is the smallest common multiple of 18 and p(b)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(300) - (sqrt(300) + 0 - sqrt(300)) - sqrt(300)) + 0 + 1*sqrt(300))**2 - (-4 + (-1*sqrt(243) + -2)**2).\nAnswer: -36*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258199124?\nAnswer: 2, 31, 113, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 433*l**2 + 2*l**3 + 4 - 4*l - 437*l**2 + 2*l**3.\nAnswer: 4*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -546*z**2 - 137*z - 138. Give m(-1).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4514.525 millilitres to litres.\nAnswer: 4.514525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431*n - 3008 = 11302 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 9*o + 995. What is the smallest common multiple of ((-2)\/4)\/((-17)\/(-6) - 3) and (o\/4)\/(3\/6*-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 205859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 3*b**3 + 74*b - 23 - 14 - 20 - b**2 - 17 in the form t*b**3 + v*b**2 + j*b + w and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -289840\/181953 - 10\/7911. Let y = -6\/23 - o. Let t = -648\/13 - -50. Sort y, t, 0.2.\nAnswer: t, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 74208?\nAnswer: 1\/18552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1c109e6a?\nAnswer: -1c109e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1932.806 and 4?\nAnswer: 1928.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/84*(-231)\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10542 + -12620. Are d and -2077 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = m - 3, -2*x + 14 = 2*m. Suppose -4*c = d - 14, -d - x*c + 14 = -3*c. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103760 divided by -20752.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/3*(-10)\/(-40)*9. Suppose 5*a + 3*z + 44 - 210 = 0, 5*z = -s. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 6 - 5 - 2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1*3\/(-3). Let s be 9 + -45 - (y - -2). Is (-8 + s)\/(0 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10747738 is divided by 438?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.16322?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-150))\/(81\/(-30))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 12*b**5 - 1461*b**4 + 12018*b**3 - 16944*b**2 - 38910*b - 8475 = 0?\nAnswer: -1, -1\/4, 5, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*5*(-1*sqrt(704) + 5))**2.\nAnswer: -455625 + 50000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8593*p**2. Let o(t) = 9*t**2. Give a(o(j)).\nAnswer: 696033*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 59 + 50. What is the closest to 2\/107 in a, 0.08, -0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (149\/(-13406))\/((-207)\/(-10934124)). Let d = y + -47\/20109. Let s = d - -587. Which is the closest to 0.1? (a) s (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -14*f - 30. Suppose -7*g + f*n = -3*g - 632, -5*g - 4*n + 777 = 0. List the prime factors of g.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {d: 1, a: 2, g: 2, w: 4, i: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 97*l - 1. Suppose 0 = -2*z + 57 - 285. Let u = z + 115. What is the tens digit of j(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 4*d)*(-1 + 1 - 2) - 22 + d + 22 + (2 - 5 + 5)*(-2*d - 11*d + 0*d) + 3*d - 3*d - 2*d.\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*-1 - -2) + 1. Let s be (f - 10\/(-6))*15. Suppose -3*p - s = 4*z - 1, 3*z = 0. Sort 4, p, -5 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1543055 or -1543057?\nAnswer: -1543055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(((2*sqrt(143) - sqrt(143))\/sqrt(11))**2 - sqrt(13)).\nAnswer: -38 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19151170 to the nearest one thousand.\nAnswer: 19151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*v**3\/3 + 34*v**2 + 112*v\/3.\nAnswer: v*(v + 8)*(11*v + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/2)*m**6)\/(m**(-4)*m*((m**(2\/15)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -3, 3 in decreasing order.\nAnswer: 3, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, 2\/17, 1, -0.2 in decreasing order.\nAnswer: 1, 0.34, 2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811951042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 6 + -4 - 1. Suppose c - 5 = -5*s, 8 = l*c + 5*s + 3. Let d(f) = f**3 - f**2 + f - 10. What is d(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-5))\/(12\/(-30)). Suppose 0 = 5*v - b + 24, -t*b = b + 4. Let i be 8\/v*(-35)\/14. Solve -5*u + i*y + 6 = -7, -u + 11 = -5*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22820 = 4*m - 3*s, 81*m - 17112 = 78*m + 3*s. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54570, -109157, -163764, -218397, -273062?\n\"Answer: -v**3 - 4*v**2 - 54568*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12566, 12575, 12584, 12593, 12602?\n\"Answer: 9*q + 12557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2 (c) 0 (d) 4 (e) -20.1 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.9 - 9.8. Suppose -9 = 5*l - 3*k, -2*k + 4*k = -4. What is the closest to -2\/5 in l, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n + 14. Let d(b) = -1. Let q(s) = -5*d(s) - g(s). What is the units digit of q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 15903*o**2 + 4*o + o - 16434*o**2.\nAnswer: -531*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*h + 8 = -9, 3*h + 6 = f. Let t be ((-1)\/(-1))\/(2\/8). Put -2, f, t, 13 in increasing order.\nAnswer: -2, f, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 - 20*g**2 - 24*g**2 - 29*g**2 - 17*g**2 + 92*g**2.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 3*x. Let k be p(-3). Does 25 divide 400\/(-8)*(k\/3 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -2 + -3 + sqrt(567) + sqrt(567) + 0 - (sqrt(252) + 2*sqrt(252) + -5).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 14*a - 5*a + (-3*a - a + 3*a)*(-3 - 2 + 3) + 2*a + 3*a - 3*a as i*a + t and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from cwcpcwcpccq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 244, 406, 566, 724, 880, 1034?\n\"Answer: -y**2 + 165*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(2\/(4 - 2) - -1). Suppose 2*y = -0*g - g + 11, 2*g + y - t = 0. Suppose -3*p + 2*l + 5 = -161, 5*p + g*l = 283. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -363, -493?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2. Let q(f) = 82*f + 1. Give u(q(n)).\nAnswer: 20172*n**2 + 492*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*n - n + 4, 4*n + 3*a = 6. Let c(o) be the second derivative of o**5\/20 + o**3\/6 + 44*o**2 + 15*o. Does 22 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-20)*1 - 55\/(-50). Suppose -o*h**3 + 0 + 1\/2*h**4 + 2*h - 2*h**2 = 0. Calculate h.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t**(-1\/13))\/(t**5*t**(2\/23)))\/((t*t\/t**(-2))**(14\/13)\/((t\/((t\/(t\/t**5)*t)\/t))\/t*t**(-2\/11)*t)) assuming t is positive.\nAnswer: t**(-24666\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*t + 18 = 0, 3*t - 7 = -i + 6*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*p + 63 = 0, 0 = 3*k + 5*p - 0*p - 289. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-15)*3\/(-117). Let q = -1\/109285 - -81867\/284141. Let p = q + g. Is p not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3589 (base 16) to base 9\nAnswer: -20717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26861218 to the nearest integer?\nAnswer: 5183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dudpdddppdtd. What is prob of picking 1 t and 1 d?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:32 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 165.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1782 - -1781.9993692. What is l rounded to 5 decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2 (c) 2 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -9*q + 13*q + 3, 3*q + 11 = -4*j. Let o be (-1)\/7 + 115\/315. Suppose -2\/9*f**2 - 8\/9*f**q + 8\/9*f + o = 0. Calculate f.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-155)\/(695175\/(-260)))\/((-2)\/3).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*a - 1. Suppose a*h + 0 - 5 = -2*t, t = 4*h + 22. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4\/3 - 32*a**3\/3 + 74*a**2\/3 + 108*a - 240 = 0?\nAnswer: -3, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146624 and 24192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/31590 and -145\/328536?\nAnswer: 1642680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2354442 and 708282?\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Let q = -1.8 + i. Which is the closest to q? (a) 0.4 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2024 - 2013. Let r(l) = 3*l - 13. Let x(y) = 8*y - 39. Calculate i*r(c) - 4*x(c).\nAnswer: c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -34923 < -34919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8647500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 - 1\/4. Let q = -4.862 + -0.138. Let d = 4.7 + q. What is the nearest to -1\/4 in d, -3\/7, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -2. Suppose 0 = -o + 4*w - 21, -o - 2*w - 9 = -3*w. Let i(p) = p**2 + p - 1. What is the remainder when c is divided by i(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2 - 6*x - 52. Let j be i(6). Solve a + a = 4*q - 18, -2*a = j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 168, 149, 130?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*i - 5 = 140*i. Which is the biggest value? (a) 0.6 (b) -2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.6198 centuries in months?\nAnswer: 667943.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:51 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifw when three letters picked without replacement from itwfb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6922242ml in litres?\nAnswer: 0.0006922242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20924 and 296006597.\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.977545 litres in millilitres?\nAnswer: 1977.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1476*y**3 - 4*y**2 - 11*y - 28. Let m(k) = -740*k**3 + 2*k**2 + 5*k + 13. What is 6*c(t) + 13*m(t)?\nAnswer: -764*t**3 + 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 7*k**2 - 7*k - 5. Let l(w) = w**3 - 8*w**2 + 9*w - 6. Let q be l(6). Suppose 17*j = 20*j - 24. Let r be j\/(-3)*(-54)\/q. Determine g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001878 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12. What is the tens digit of (124\/(-10))\/(w\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q**5 - 2*q + (-2*q**3 - q**4 + 2*q**3)*(4*q - 2*q - 3*q) + 0*q**2 - 7*q**5 + 0*q**2 - q**3 - q.\nAnswer: -8*q**5 - q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -13*z - 38 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1335\/206 + 2\/103. Let r(s) be the first derivative of 0*s**3 - 12 + 0*s**4 + y*s**2 + 0*s - 8\/5*s**5. Find the second derivative of r(w) wrt w.\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 15181 = -5*f. Suppose p = -3*u + 5*p + 651, 3*p - f = -4*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 + -1861\/9. Which is the nearest to v? (a) 5 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*y**5 + 8*y - 43*y**5 + 19*y**5 wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -136*w - 8. Let v(h) = h + 1. Let d(l) = -2*m(l) - 10*v(l). Let s be d(5). Suppose -4*k = -4*j + s, 2*j - 5*k = -6*k + 664. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -98*r + 12. What is the tens digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017548501?\nAnswer: 1017548501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*j - 4*u, -5*u = 3*j + 3 + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**2 + 2*c**2 + 26*c**2 + 18*c**2.\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l = 19*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -48, 0 = -101*r + 106*r - 5*v - 50 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -6 - (25 + -23) - 116\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3\/8, 5, 15, 0.96?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + 3.09. What is the second biggest value in 1, 11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -151*o - 931. Determine m(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*a - 2. Let g = -14 - -13. Let m be -2*(a + (0 - g)). Solve 3*j - 4*x + 22 = 0, -m*x = 3*j - 0*x - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 + 6)*(-4 + 17 + 18)*(0*o**4 - o**4 + 5*o**4).\nAnswer: -248*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*g = 32400012, 5*n + g = -3*g - 40500016. Round n to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1298 = -14*l + 1424. Solve -2*f + 3 = -5*c, 4*c - l = 3*f - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -312, -701, -1236, -1911, -2720, -3657, -4716?\nAnswer: -5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -109. Which is the smallest value? (a) -0.8 (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-45)*18\/78?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 11356.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 6064.\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12)**50 assuming w is positive.\nAnswer: w**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 232*c + 412. What is k(-116)?\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1\/6*f**4 + 1\/40*f**5 + 0 + 0*f**2 + 2\/3*f**3 - f. Let m(o) be the second derivative of u(o). Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/26 and 58\/(-6)*4\/(-264)*-9?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 1234, 2813, 5036?\nAnswer: 7903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -110?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*a = -3*a - 302*a + 25977 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/71 (b) 11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*r - 22, -6*h = -h - r + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/2, 1440, -33?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4338?\nAnswer: -5\/4338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 3*n. Calculate c(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -29965 at least as big as -59931\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 30 = -13*u. Find the third derivative of 7*c**u - 2*c**4 + 16*c**2 + 4 + 3 - 15*c**2 - c**4 wrt c.\nAnswer: -72*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340 = -46*u - 282 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 721 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 3 = -3. What is the tens digit of ((-10)\/20*-360)\/(1 - x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 3. Let l(q) = 3*q - 2. Let p(x) = -3*c(x) + 4*l(x). Let v(s) = 11*s + 3. Calculate 7*p(g) - 4*v(g).\nAnswer: -2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g - 2*g + 4*g)*(300*g + 53*g**2 - 300*g).\nAnswer: -318*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.70779 to 0 dps.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101211112121111 (base 3) to base 13\nAnswer: -1267b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 45. Let k = y - 11. Suppose b = -q + 21, -k*q - 2*b = -4*b - 84. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 63900.36 decades?\nAnswer: 6390.036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 14 - 6 = -2*f, 4*j + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let m(g) = 936*g + 184. Let b(j) = -104*j - 20. Let h(c) = 28*b(c) + 3*m(c). Calculate h(o(y)).\nAnswer: 104*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, r: 2, f: 1, z: 1, u: 1}. What is prob of sequence rfzw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146193712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7*(-329)\/(-7332). What is the closest to g in -0.1, -0.2, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 1. Let n(s) = -2*s**2 - s - 3. Let i(l) = -2*m(l) - n(l). What is i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 - 171. Which is the closest to m? (a) -2\/11 (b) -1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.78, 116, -0.1, 2, -0.3?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let o(f) = 610*f**2. Determine k(o(s)).\nAnswer: 1830*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 34, 36, 40?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18567.94 meters in nanometers?\nAnswer: 18567940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.3 - 17. Let z = l + -4.3. Let a = 391\/6 - 66. What is the third biggest value in 0.1, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tggt when four letters picked without replacement from jgjtgjjtjtjjjt.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 178731644 - 0.4?\nAnswer: 178731643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 5*q**4 + q**4)*(-3 + 5 - q - 6).\nAnswer: -6*q**5 - 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10676336.\nAnswer: 2, 11, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -301*f + 308*f - 7777. What are the prime factors of f?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 6, -2, -12, 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1519*r**5 - r**4 - 41606*r**2 + 3*r wrt r?\nAnswer: -91140*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997850937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/66*847\/(-55).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73343137\/6756 + -10856. Let i = 132115\/15764 + m. Let b = i + -26\/3. What is the second smallest value in -0.1, b, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86271.44 milligrams in nanograms?\nAnswer: 86271440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*x**2 + 633*x**2 + 2*x**3 - 124*x**2 - 117*x**2 - 99*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4017977 to the nearest integer?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 5, u: 3, f: 8, a: 1, s: 2}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9\/2, -2.\nAnswer: -2, 1, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38304*i**6*t**3 - i**2*t**3 - 1012*i*t + 15*t**3 wrt i?\nAnswer: -4596480*i**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20.01063 * -3.7\nAnswer: 74.039331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s + 2*p - 0*p, 2*s = 3*p + 13. Let n = 30 - s. Suppose -12*d + 4*d + 725 = 17*d. Is n bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 25. Let f be (-3)\/(-6) - (-31)\/2. Let g = w + f. Solve -3*d - g = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-33) + (-3)\/(-9). Let d = 1.77 + -1.7. Let y = d + -0.47. Sort y, -4, f in decreasing order.\nAnswer: f, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391940661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*l - 16 = 0, 0 = -2*v + 4*v + 2*l - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 22*d + 4137 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189350 and 189350.\nAnswer: 189350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68423 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -232042670 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/(11\/(-495)) - -8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -44\/9*s**3 - 484\/3*s**2 - 1\/18*s**4 - 1 - 3*s. Factor w(z).\nAnswer: -2*(z + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -14. Let u = 1 + a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*50\/160*-1*-4*1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mswmkswmwwwmwsmw. What is prob of picking 1 m and 1 w?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - (-144)\/14. Let r = -8 - -13. Suppose -5*n = -r*l - s*n + 10, 0 = 4*l - 3*n - 1. What is the greatest common divisor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 - 8*f + 3. Let h be x(8). Factor -5*o**h - 12*o - 2*o**3 - 4 - 12*o**2 + 3*o**3.\nAnswer: -4*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5876692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248758164?\nAnswer: 2, 312189541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.9. Let j = 0.64 - -4.36. Which is the closest to -3? (a) j (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/49 - 8\/(-42) and -18\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + a)*(-2*a + 2*a - 3*a)*(0*a**3 + 2*a**3 - 3*a**3).\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -1\/209 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 11, 1, -25?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 0. Suppose o - 2*n - 355 = -0*o, 5*o + n - 1731 = 0. Suppose d*w - 4*b = 2*w + o, 350 = w - 5*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, b: 4}. What is prob of picking 3 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -45*c + 61. Suppose m - 2*v - 6 = -2, 3*m + 13 = v. What is the units digit of q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:25 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 189*t**2 - 589*t - 2509. Calculate u(-192).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:54 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s**6 + 5*s**5 - 3*s**4 + s**2 - 619*s + 3. Let l(v) = -v**4 + v**2 + v + 1. Let z(t) = -h(t) + 3*l(t). Find the third derivative of z(c) wrt c.\nAnswer: -1800*c**3 - 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 3. Let w be j(-6). Let b = 5 + w. Find the third derivative of -y**5 + 2*y**b - 2*y**2 + 3*y**2 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Suppose -a - z + 4 = 4*z, 0 = 5*a + z - 20. Let p(v) = -v - 2*v + v + a*v. What is p(o(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose 0 = -7*l + 3*l + 12. Suppose -l*v = v - 96. Solve -f - t*f - v = -2*d, 0 = -4*f - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -206937*f + 5794230. What is p(28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9 + 7 + -10 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1044147 by 39.\nAnswer: -26773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/23, -0.1, -3, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4843*d + 619896. Calculate p(-128).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srrs when four letters picked without replacement from {r: 1, c: 2, o: 4, s: 1, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 861 - 1209. Let l = f + 365. Calculate the remainder when l is divided by (-2 - -3) + 0 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5891, 11781, 17671, 23561?\n\"Answer: 5890*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 711*u**3 - 2*u**2 + 5*u + 6. Let l(j) = j**3 + j + 1. Let y(p) = 5*l(p) - o(p). Let h be y(1). Is ((-4)\/(-6))\/((-10)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 3*w + 184 = 0, 4*w = -f - 46. Suppose 0 = 5*b - 69 + 94. Let i be (b\/(-2))\/(19\/f). Sort 4, 3, i in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 451*d**3 - 4*d**2 + 266.\nAnswer: 1353*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4021*r + 1106. Let l(v) = -29*v + 1. Let h(m) = -j(m) - 6*l(m). Differentiate h(i) wrt i.\nAnswer: 4195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/24 (b) -1\/4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27293297, 54586603, 81879909?\n\"Answer: 27293306*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*v - 11 = 2, 4 = -2*t - 2*v. Let c(k) = -62*k + 1 + 62*k + 4*k**2. Let y(u) = 3*u**2 + u + 1. Give t*c(d) + 2*y(d).\nAnswer: -6*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 216, 218, 222, 228, 236?\n\"Answer: z**2 - z + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -845*g - 2. Let b(q) = -3381*q - 10. Calculate 2*b(w) - 9*u(w).\nAnswer: 843*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q + 16 = 31*q, 5*q - 32 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.82 or -191?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = b + 2*g, -16*b - 4*g = -18*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -26 + 206. Let g be (y\/(-189))\/(6\/21). Let k be 2 - 5 - (-1 + 2). Which is the nearest to g? (a) -1\/4 (b) 1\/10 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - 3*2475\/297.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j - 6. Let v be g(-4). Let q = 43 + v. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 137, 203, 269?\n\"Answer: 66*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 2. Suppose 0*s = 6*s - 18. Determine u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let j be y(-6). Let c(q) = q**3 - 4*q**2 - 2*q - 7. Let n be c(j). Let u = -3 + n. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*w = 191*w - 98 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - o = 4*q - 7, -5*o + 12 = -2*q. Let y(k) = -k - 5. Let d be y(2). Let n = q - d. Solve 2*b + 4 + n = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244 + 0*u + 3*u + 278 - 27 + 40 to the form k*u + r and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d4 (base 16) in base 14?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 27.1403.\nAnswer: 8.14209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 * 2.741329\nAnswer: 0.161738411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92111?\nAnswer: 92111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3560.898822 - 403.\nAnswer: 3157.898822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334205.\nAnswer: 5, 66841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127.211 + -0.211. Let h = a - 127. Is 3\/16 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 29. Let q(t) = -6*t - 8. Let s(y) = 4*y + 5. Calculate g*s(m) + 5*q(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 22 = 30. Suppose 0 = -0*n - 5*n + 54795. Suppose t*r + 133441 = -n. What is r rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000022201 (base 3) in base 2?\nAnswer: -11000000101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 212858.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(85) + sqrt(85))*6 + (-1*(sqrt(85)*-2 - sqrt(85)) - sqrt(85)))\/(sqrt(720)\/sqrt(9) + sqrt(40)\/(sqrt(72) - sqrt(8))).\nAnswer: -8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*w + 11, -4*w + 55*j = 50*j - 33 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucukihf. Give prob of sequence ui.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31572511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.8 (b) -46 (c) 0.4 (d) 1.774 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 23 = -124*n + 296. Which is bigger: 1647 or n?\nAnswer: 1647","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 5*n**2 + 41*n + 82. What is the hundreds digit of f(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1081 and -1079 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*q**4 + 471 - 471 + (2*q + 0*q + 0*q)*(0*q**3 - 9*q**3 - 6*q**3).\nAnswer: -147*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**2 + 1475*q + 4777. Calculate r(-95).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 6*y - 93 = 0. Let z = -29 - y. Let c(n) = -155*n - 4*n**z - 4*n**2 + 155*n. Let b(s) = s. What is b(c(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 64\/(-12) + (-16)\/6 + 2. Let t = 699 + -706. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-9)\/(-3))*1. Suppose -34 = -q*z + 4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*i = 9, -4*i - 1102 = -m - 1131 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.233 + 3.897. Let x = d - 5.0877. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1774366483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -105864.\nAnswer: -7\/4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4 - 8. Let h be 9\/(x*5\/(-10)). Let f(c) = 2*c + 13. Give f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 373*b + 678*b - 322*b + 337*b in the form j*b + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9869*n + 21 = -9890*n - 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/5, 3, 0, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 375*v**3 + 56*v**2 - 6*v - 6. Is c(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c = 10 + 28. Suppose -2*z + 9 + 33 = 0. Let n = z - 12. Sort c, n, 2, 3 in decreasing order.\nAnswer: n, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244 + 244 + 18*o)*(0*o**2 - o**2 + 3*o**2)*(-o**2 - 2*o**2 - 2*o**2).\nAnswer: -180*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 9\/(-4))*-4. What are the prime factors of -155*(8\/n - -1)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*t + 1458 + 339 = 0, 4446 = -5*s + 3*t. Let q = -484 - s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14615530 - 1?\nAnswer: 14615526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.78 rounded to 1 decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 - 270*t**3 + 6075*t**2 = 0. Calculate t.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172256 smaller than 264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10535, -21069, -31601, -42131?\n\"Answer: i**2 - 10537*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 2*i - 6. Let n be m(0). Let a(r) = -r - 2. Let h(j) = -5*j - 18. Let z(p) = n*a(p) + h(p). Determine z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240447442 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4) + 6\/9*-3. Let m be -2 + s + 65\/25. Suppose -2\/5 - 1\/5*o**2 + m*o = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 209 + 57. Is k <= -276\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/11, 1.898, -5 in ascending order.\nAnswer: -5, -4\/11, 0.5, 1.898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*r + 20, 171*u - 12 = 167*u - 3*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 450512137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97683852 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -h - i*h + 12 = 0. Suppose 3*t**4 - 3*t**4 + t**2 - h*t**4 + 3*t**4 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 40. Sort l, -1, 3, -5.\nAnswer: -5, -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 43*i**2 + 190*i = 0. Calculate i.\nAnswer: -38, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u + 7. Let k(j) = 4*j + 3. Calculate 6*a(g) - 13*k(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 199 + 80*k - 71 - 71 - 67 in the form g + y*k and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 307*g + 1. Let a(o) = -o**2. Determine y(a(k)).\nAnswer: 10*k**4 - 307*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 219947538*g\/5 + 4031409956021787\/5.\nAnswer: 3*(g - 36657923)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284 + 169 + 54)*(2 + 1 - 6)*(13*w**2 + 4*w**2 + 8*w**2).\nAnswer: -38025*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.455252 to 3 decimal places.\nAnswer: -3.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*sqrt(65)\/sqrt(5).\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1584)*-3 + -5)*3 + -5)*6)**2.\nAnswer: 155520*sqrt(11) + 4633344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366130 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341688 - 683414 + 341723 - 4*w.\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -62. Let g(a) = -a**3 + a + 1. What is g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 641.7 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 306, 300, 290, 276, 258?\n\"Answer: -2*c**2 + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y + 62. Let k be q(-5). Solve 4*t = 2*m - k, m - 6*t - 5 = -2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 6, 1\/5, 20.63, -0.017, -3, -0.14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k - 5. Suppose -2*c - 8*v + 58 = -10*v, 0 = -4*c - 5*v + 98. What is the remainder when o(-6) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 22. Let t = z - 7. Suppose -3*q + 54 = -5*w + 2*w, 135 = 5*q + t*w. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32230 (base 4) in base 6?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3420, -3334, -3208, -3036, -2812, -2530?\n\"Answer: g**3 + 14*g**2 + 37*g - 3472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + u**2 - u + 9. Let g(m) = -m**2 - 8*m + 5. Let j be g(-9). Let b be 2\/j*0\/1. What is the units digit of v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 5*h + 8. Let m be t(-6). Suppose 3*w = 4*g - m*g + 13, -3*w + 5*g = -28. What is the derivative of w + 3*r**3 + 3*r**4 - 3*r**3 wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7466 + -7015. Let y(f) = 50*f**2 - 1. Let p be y(-2). Let t = l - p. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22688 by 4.\nAnswer: -5672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1326, 2552, 3780, 5010, 6242, 7476?\nAnswer: 8712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let u(z) = -101*z - 961. Calculate u(s(j)).\nAnswer: 101*j**2 - 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - -13) + -17 + -19\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**2\/3 + 80626*g\/3 + 85852580 = 0.\nAnswer: -36815, -3498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(((t**(1\/3)\/t*t)\/t)\/t)\/t)**(6\/17)\/((t*t\/(t\/(t*t**1*t*t)))\/t)**(43\/5)*(t**(-3)*t**4)\/((t**6\/t*t)\/t*t**(3\/4)) assuming t is positive.\nAnswer: t**(-13511\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3001111 (base 4) to base 13\nAnswer: -582a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13930.\nAnswer: 2, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 9. Let x(n) = -n**3 - 4*n**2 + 2. Let v be x(-4). Suppose -3*w = -v*w. What is z(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18916908 and 660?\nAnswer: 1040429940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y - 2*y + 21624 = 21*y. Calculate the greatest common divisor of y and 5194.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6909.202 litres?\nAnswer: 6909202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -1. Is 8 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14100\/13 equal to -1084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**3 + 170*y**2 + 1871.\nAnswer: -6*y**2 + 340*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*1 + sqrt(228))*-4 - sqrt(228)*1*6)\/(sqrt(1728)*1*3))**2 + -1.\nAnswer: 607\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/33 + (-286)\/6. Let d = 49 + c. What is the third derivative of -32*y**3 + 13*y**3 - 9*y**2 + 17*y**3 - 2*y**d wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 126*d. Let u(w) = -2*w**2 + 43*w. What is 5*j(k) - 14*u(k)?\nAnswer: -2*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 - a87b16?\nAnswer: -a87a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) 1\/175 (c) -7 (d) -2\/5 (e) 2 (f) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -3*q, 5*q = -d + 18. Solve 6 = -2*y, -2*f + 3*y + d = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -0.1. Let h be (-5)\/(-25) + 19\/5. Let n be (1 - (-11)\/(-9))\/((-125)\/(-375)). Which is the nearest to n? (a) i (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34284, -27846, -21408, -14970, -8532?\n\"Answer: 6438*l - 40722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 11 - 4969597\/447745. Let q = 1\/1202 - k. Find r, given that 11\/5*r - 121\/10 - q*r**2 = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-28)*-20 + (0 - -8). Solve -2*v + y = 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142032260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-45) - 60\/(-18). Solve 7 = f*d - 2*d + 2*p, d + 28 = 5*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:43 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i + 1419 + 1488 = 0. Calculate the highest common factor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*c**2*d**2 - 1391*c**2 - 980*c*d**4 + c - 2*d**2 wrt d?\nAnswer: -42*c**2*d - 3920*c*d**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let z = n + -3. What is the greatest common factor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 4*z - 5*z)*(181*z**3 + 313*z**3 - 86*z**3) - 2*z**3 + 5*z**3 - 2*z**4 + 4*z**4 to the form f*z + k*z**3 + p*z**2 + o*z**4 + l and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 205\/(-20) + 10 - (-95)\/220. Which is the second smallest value? (a) -1 (b) -4262 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3\/2 + 3*j**2\/2 + 7*j. What are the prime factors of r(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 30755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -194, -195, -196, -197?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-84)\/(-18))\/(-1) + 1\/(-3). Let p(g) = g**2 + 5*g + 9. Let m(x) = -3*x - 5. What is w*m(l) - 3*p(l)?\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhiadhrhdarriorho. Give prob of sequence hr.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 (base 12) in base 4?\nAnswer: -30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/5400 and 7\/364625.\nAnswer: 78759000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7877 is divided by 3681.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354054 is divided by 734.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1653 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - 10*a**3 + a - 2*a**4 + 6*a**3 to the form o*a**3 + t + g*a**4 + j*a + v*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -44*t**2 - 10. Let w(z) = z - 1. Let i(r) = -a(r) + 2*w(r). Let d(v) = -41*v - 228. Let x be d(-6). Let j be i(x). Round j to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (112*t + 94*t + 65*t)*(-3*t + 0*t + 2*t)*(4*t - t - 6*t) as l*t**3 + f*t**2 + s*t + r and give l.\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -92*b - 26 - 38 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101812172 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 8*f**3 + 9*f**2 - 16*f**2 - 2 to i*f + h + y*f**3 + k*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/5997, 2\/675, -2\/7 in increasing order.\nAnswer: -2\/7, -22\/5997, 2\/675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.337097 + 0.35367. Round d to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99528932 divided by 24882233.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - i + 0*i + 5 = 0, -2*i = -y - 10. Let x = -1 + 1.1. Let f = -42 + 253\/6. Which is the nearest to x? (a) 5 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.12736 rounded to 1 decimal place?\nAnswer: -371.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (4*sqrt(77) - sqrt(77)))*1 + (sqrt(77) + (sqrt(77) - sqrt(77)*5))*-2)\/(-1*sqrt(252) + (sqrt(7) - sqrt(77)\/sqrt(11)*6)).\nAnswer: -10*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 12*t - 10. Give a(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16490385855936 - -0.5.\nAnswer: 16490385855936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691946*z**3 + 691951*z**3 - 1383896*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 45670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4 - -4) + (0 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -330*j*s**2 + 1567*j*s + 42*s**2 + 2*s - 6 wrt s?\nAnswer: -660*j + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 g when four letters picked without replacement from tttttttttgtgtgt.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 9 - ((8 - 15) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 - 6 - (-3 + -3 + -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.9, -4\/3, 13.\nAnswer: -29, -4\/3, -0.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71455025670 and 145?\nAnswer: 71455025815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15)\/((-6)\/(-45)*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 20427402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from {m: 3, d: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48885 and 7695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**2 + 2*l**5 + 6*l**2 + 2*l**5 + 20*l**4 + 28*l**3 = 0. What is l?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606888\/2381 bigger than 255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.179 * 0.4.\nAnswer: -0.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731, 742, 767, 812, 883?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*u + 6*u, -4*h - u - 382 + 367 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -490, -509, -530, -553, -578, -605, -634?\n\"Answer: -q**2 - 16*q - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 + -373. Suppose -3*o + 3*w - 15 = 0, 2*o + 11 = -0*w + 3*w. Which is the third biggest value? (a) -0.5 (b) o (c) v (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214128.2200139 - 214125.76. Let b = 0.7 - -1.76. Let h = b - i. Round h to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + 0 + -1 - (-1 + 4*sqrt(300) + 5))**2*-5 + -2.\nAnswer: -13582 - 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*v - 25*f + 27*f, -90 = 5*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 174160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -332*q**5\/5 + 1592*q**3 + 97*q - 8. What is the second derivative of c(n) wrt n?\nAnswer: -7968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -637?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68460 is divided by 13692?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c + 5*u - 20, u = 2*c - 44. Let r = 108 - 49. What is the remainder when r is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2133 + -134?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 8 = 4*f, w + f = 4. What are the prime factors of w - (4 + -3 - 23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/60 + a**4\/24 - 5*a**3\/6 + a**2. Suppose 3*k = j - 2*j + 1, 0 = -k + 3*j - 3. What is m(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/30)\/(-9)*10\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 423 + -420. What is the closest to 3\/7 in -5, -3, 20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19879 + -19879.1. Put -0.43, -8, l in increasing order.\nAnswer: -8, -0.43, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9\/9 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 193 + 3 + 0. Suppose 0*t - 5*t = -c. Let k = t - 293\/6. Find the common denominator of 44 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 2*t + 5, -11*t = y - 37*t - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*h**3 + 3*h - 5*h + 59*h**4 - 64*h**4 to p*h**3 + t*h**2 + d*h + o + y*h**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 4*s + 5. Let m be j(1). Suppose 0 = -m*z + 11*z - 32. Solve 0*u - 4*u = z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cay when three letters picked without replacement from zzezzezzyayeezcc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111 (base 2) to base 15.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 14 + -33 + 16 + (1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443 - 913 + 2*c**2 - 543 - 3*c**2.\nAnswer: -c**2 - 1013","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -93107 * -0.3\nAnswer: 27932.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 + -2 + -3)\/(96\/1216). Calculate the greatest common factor of b and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611229287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) 2 (c) 0.3 (d) 0.14 (e) -0.4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/10 - (1 - (-12)\/(-20)). Suppose -l*v + 83 = -29. Which is the third biggest value? (a) 0.05 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684)*-1)**2.\nAnswer: 24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43127, -43119, -43097, -43055, -42987?\n\"Answer: u**3 + u**2 - 2*u - 43127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 5843765506.5.\nAnswer: -5843765507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2847 - 2847 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/579 and 133\/3792.\nAnswer: 731856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78500, -156991, -235480, -313967?\n\"Answer: j**2 - 78494*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:25 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*k + 21, 2*u + u - 45 = -4*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -787 (base 10) to base 11.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d = -81*d + 1338. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-3)\/12*-4. Suppose 2*n + 1 = -a*k, 7 = 2*k - 6*k + 3*n. Is 1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 2)*23\/(-3). Let k be (-6)\/(-15) - r\/(-5). Differentiate 2*w**4 - 1 + 4*w**4 - k*w**4 with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3 - 5*c**2 - c + 5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d + 1. Let n(q) = 3*q**3 + 3*q**2 + 14*q + 3. Let m(a) = n(a) + 4*y(a). Let i be m(9). Which is bigger: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3)\/x)**10\/(x*x*x*x\/(x\/(x*x**(-1\/4)))*x*x)**(-10\/3))\/(x**(-1)\/x**(1\/11)*x**(-2\/3)*x**(-2\/7)) assuming x is positive.\nAnswer: x**(1213\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21215 + -7746. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 9*b**2 - 1. Let w be s(-5). What are the prime factors of 3\/6 + (3 - w\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 10*d**2 - 4*d - 28. Let p be i(-10). Let f be (-59)\/(-3) - (-3)\/9. Suppose -11*g - f = -p*g. What is the least common multiple of g and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9. Let w(c) = -2*c. Let q be w(p). Solve 0 = q*u - 1 + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = -24*c - 0*c + 630 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2278\/(-4011) + 408\/714. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o + 26*x - 30*x, -3*o + x + 4 = 0. Solve -o*w - 14 = 5*r, 3*w - 3*r + 2 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2.6 (c) 6 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:50 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g**2*p**2 + 117*g**2 + 2312*g*p**2 + g wrt g.\nAnswer: -22*p**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyioioiiiiivi. Give prob of picking 1 y and 2 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 107*n**3 - n**2 + 7*n - 19. Is l(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0*t + 0*t + 3*t - 4*t - 9. Let x be h(-9). Solve x - 8\/7*r + 6\/7*r**3 - 2\/7*r**4 + 0*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42149306 is divided by 1082?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 257147 + 257399 = 0 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748 - 1095 = 2847*l - 2944*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1128, 1134, 1144, 1158, 1176?\n\"Answer: 2*f**2 + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/770 - ((-17)\/(-68))\/((-10)\/16).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*t + 59*t + 26*t.\nAnswer: 133*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101010212211 (base 3) to base 9\nAnswer: 333784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -81. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300*1.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*3*sqrt(208) + -2.\nAnswer: -12*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 32 - 48. Let h be -6*(-1)\/3*-2. Let o be (6 + h - 3) + d. Which is smaller: 2\/3 or o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -1825, -5629, -12835, -24577?\nAnswer: -41989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 110. Is (-3 - -3 - 27)\/((-9)\/m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/25 - ((-168)\/350)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1952, 506 in descending order.\nAnswer: 1952, 506, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-786*(-2)\/(12\/(-6)))\/(6\/(-404)).\nAnswer: 2, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 26*y**2 + 119*y - 552. Give h(-14).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s + 2. Let h be v(5). Let z = 67 - 67. Suppose z = -x - 2*t - t + 129, -t = 1. Calculate the highest common factor of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 1. Suppose i*m = -2*c + 10, 0 = m - 4*c + 7 - 31. Suppose m*a + 13 = 5*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-5) - 4\/(-10). Let d(m) = 1494*m + 61257. Let c be d(-41). Solve -16 + l = c*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + l**2 + l - 1. Let p(i) = -5*i**3 - 2*i**2 - 3*i - 1. Calculate -p(z) - 3*u(z).\nAnswer: 2*z**3 - z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*h. Suppose 5*d + 5*a = 0, 4*d - h*a + 0*a - 12 = 0. Suppose -4*p = -d - 14. Solve p*j - 12 = -0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -7. Suppose u*d - 7*d = -16. Solve d*j + 4 + 0 = -4*c, -4*c + 31 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 160770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 2*t + 22 - 4*t + 0*t.\nAnswer: 2*t + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.58, 1\/20, -1, -2238?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 28 = 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2087.\nAnswer: 1\/2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4 - 2. Let h(c) be the first derivative of -c**3\/3 - 4*c**2 + 23. Let y be h(l). Solve -5*p = -p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**4 + 0*p**3 - 5*p**3 - 10*p**4 + 3*p**3 + 3*p - 2*p**2 - 3 + 20*p**4 to x*p**3 + r*p**4 + a*p + k + w*p**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**4\/4 + l**2 - 5*l. Find the first derivative of r(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -137\/2. Let h = -570\/11 - -52. What is the third smallest value in 1\/2, h, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onccxfnnhofnhh. Give prob of picking 1 n, 1 f, and 2 o.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 125*p - 504 = -22*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -5\/2*m**2 - 17 + 0*m. Let x(n) = 8*n. Give i(x(a)).\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12525.519 months to decades.\nAnswer: 104.379325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -14. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5900.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 12. Factor -f - f**5 + f**4 + 4*f**2 + 0*f + 3*f**y - 6*f**3.\nAnswer: -f*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, 2, -6, -4 in decreasing order.\nAnswer: 222, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 8*k**2 + 3*k + 26. Let c(f) = 15*f**2 - 150*f - 8. Let v be c(10). Let u be j(v). Solve -u*r - 6 = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48640.11 weeks in milliseconds?\nAnswer: 29417538528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153394 in 6\/19, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*d*d*d**(-5)*d*d**11 assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 5450*n - 1485125 = 0. Calculate n.\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -278048 * 0.3\nAnswer: -83414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*(-40)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2120 and 36.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 363 + -358. Suppose 12 = -4*p, -28 = -y*u + 11*p - 10*p. Suppose -8\/13*h**2 + 14\/13*h**u + 4\/13 - 28\/13*h**3 + 4\/13*h**4 + 14\/13*h = 0. Calculate h.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 - 74 = 3*k. Suppose -k = 4*z - 27. Solve 6 = -2*i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -359, -1397, -3113, -5501, -8555?\n\"Answer: m**3 - 345*m**2 - 10*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 486.85 + -477. Let r = q - -0.15. Let i = r + -10.000004. What is i rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 10, y: 4}. Give prob of picking 1 s and 2 u.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7350 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1670874*b**2*j**2 - 68*b**2 + 770*j + 2 wrt j.\nAnswer: 3341748*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.105 in 2, -4\/7, -0.3, -50?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a**2 + a**2 + 2*a**2. Let q(u) = -6*u**2. Let o(r) = 12*r**2. Let v(n) = -6*o(n) - 11*q(n). What is p(v(x))?\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 160 = -4*x. Suppose -2*k + 47 - 19 = 0. What is the remainder when x is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + (-15731)\/(-1827). Let q = -223\/29 + u. Let m = q - -2\/63. What is the third smallest value in 1\/9, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, 2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79.09 and 1.2?\nAnswer: 80.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(3) + sqrt(3)) - (sqrt(28)\/(sqrt(4) + sqrt(16)\/sqrt(4)) - sqrt(7)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 36, 1, 5, -1 in descending order.\nAnswer: 70, 36, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 1138, -60, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-56)\/(-105). Which is the nearest to 1? (a) x (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4210\/13 - -324. Which is the closest to 3\/19? (a) -2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17889 = 4296*r - 196911 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 140*j - 904. Determine y(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.00000058 + -15. Round s to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + l + 80263 = 0, -1776*q + 40144 = -1775*q - 3*l. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i. Let w(z) = -9089728*z. Determine a(w(t)).\nAnswer: 109076736*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:41 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1922 + -5319. Let k = p + 8474. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 7.9. Let j = -17 + 16.05. Let s = 0.05 - j. Put f, s, -7 in decreasing order.\nAnswer: f, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -31233.\nAnswer: -2\/31233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 12. Let x(g) = 2*g + 26. Let b(p) = 6*x(p) - 13*y(p). Let u(j) = -1 + 14*j - 9*j - 1. Determine 2*b(m) + u(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/10*675\/165*4\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1052, -7708, -25750, -60860, -118720?\nAnswer: -205012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/28*(-3)\/(-24)*4. Let l = -0.1606 + 3.1606. What is the closest to 2\/5 in l, -2\/15, u, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1245, 9851, 33157, 78495, 153197?\n\"Answer: 1222*d**3 + 18*d**2 - 2*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2*20\/30*-1. Let d be s\/(-15)*-5*3. Find the first derivative of -5 + k - d + k - 4 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663790?\nAnswer: 2, 5, 41, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1 - u**2 + 1 + 0. Let m(h) = 3*h**2 - 2*h**2 - 3*h**2. Calculate m(d(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/7)*d**4)\/((d\/(d*d*(d\/((d**(-2\/15)\/d)\/d)*d)\/d))\/(d\/(d*(d**(-5)\/d)\/d))) assuming d is positive.\nAnswer: d**(1784\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*c + 78*c - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 8*v - 16. Let c be t(-4). Suppose c = -7*l + 31350 + 20198. Suppose 5*m - m - l = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469832 plus 18787.996?\nAnswer: -451044.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4\/5 (c) 0.16 (d) 10 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 0, -9*m = -13*m + 4*i + 8. Suppose m*j + 8 = 0, 21*o - 25*o + 2570 = 5*j. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*z = -7, -z + 10 = 4*c - 0*z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.24 < 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-7)*(-7)\/2. Suppose -k + 3 = -p, -i*p - 14 = -2. Let l be 2*(84\/(-8))\/3. Put -5, l, k in descending order.\nAnswer: k, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 6. Let h(r) = -47*r - 37. Give -6*h(l) - 34*n(l).\nAnswer: -24*l + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 50 + 5. Let t = j + 7. Is (42\/t)\/(6\/(-24)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -17, 1, -1, -35?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*s**2 + 5*s**3 + 21*s**2 - 11*s**3 + 5*s**3 + 0*s**3.\nAnswer: -s**3 + 127*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26871 smaller than 88.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 22695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120894994.\nAnswer: 2, 3, 353482499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -63*i + 17. Let a(m) = 74*m - 20. Let s(g) = -6*a(g) - 7*q(g). Calculate s(17).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -3. Let r(w) = 8*w - x*w + 6*w. Let m(g) = 4*g**2 + 3. Let d(a) = 7*a**2 + 5. Let s(q) = 3*d(q) - 5*m(q). Give s(r(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.031481 and 0.\nAnswer: 0.031481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ccu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 502461605134 - -5.\nAnswer: 502461605139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 17*x**2 + 29*x - 10. Calculate n(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 11*g - 9. Let t(w) = w**3 + 6*w**2 - 4*w + 5. Let v be t(-5). Let s = 45 - v. List the prime factors of n(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -4. Suppose 0 = 6*p + 33*p - g. What is the third biggest value in -3, 2\/11, 1, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 5. Let w(t) = 2. Let p(f) = -3*f - 2. Let z be p(-2). Suppose 0 = 3*o - 2*r - 25, 0 = -2*o + o + z*r + 25. Give o*w(h) - 2*s(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, 5, 1, 4\/1239?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9 - (-1 + 4)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -2. Let i be (-1)\/((-1)\/l) - -2. Solve -5*s = 3*k + 20, i*k + 4 = -0*k - s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 + 0*m**2)*(3*m - 2*m + 0*m + (-4 + 5 + 0)*(3*m - 3*m + m) + 1 + m - 1 + 2*m + m + 10*m).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 272811?\nAnswer: -272810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003960016676 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1899 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3 + 442*f**2 - 3650*f + 3206 = 0.\nAnswer: -229, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 470*t**2 - 68*t**2 + 72*t**2 + 71 - 137 + 71 in the form i*t**2 + x*t + f and give i.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/15 - -1 - 435\/(-675). Which is the nearest to r? (a) -1 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 5, 9, -3 in decreasing order.\nAnswer: 12, 9, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, 44, -15, -21 in decreasing order.\nAnswer: 44, -1, -15, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.1. Let z = -227 - -229. What is the nearest to 6 in l, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 24*r - 23.\nAnswer: -(r - 23)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 + 2 + 0 + 58*c + 22*c. Let u be l(-2). Let t = -65 - u. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/4, -0.02, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1470805.882273.\nAnswer: 1470800.882273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 190.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -5 - (23 + -9)) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 2*o + 2994. Let m = -269 + o. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 11294*u - 2. Let q(c) = -18*c - 2. Give b(q(a)).\nAnswer: 324*a**2 - 203220*a - 22586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {m: 5, n: 4, k: 3, w: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 576180995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v*v**5\/v)\/(v**(2\/5))**38 assuming v is positive.\nAnswer: v**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 x when three letters picked without replacement from {m: 5, x: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 198937973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 - -10?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/2 + 51*f**3\/2 - 99*f**2.\nAnswer: -3*f**2*(f - 11)*(f - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrgg when four letters picked without replacement from ygygryyyygrrvg.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.45 - -8.45. Which is the biggest value? (a) -0.1 (b) -3 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-33))\/((-228)\/(-418))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387844 is divided by 1804.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17 - 3*d - 20 - 18 - 25. Calculate the remainder when (-1313)\/(-26) + 6\/4 is divided by k(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20699569?\nAnswer: 11, 19, 99041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-6)\/(-3*sqrt(8)\/sqrt(4)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + z)*(-5 + 3 - 4)*((1 + 3 - 1)*(1 + z - 1) - 8*z + 0*z + z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/3, -70.3521, -0.3 in descending order.\nAnswer: 0.4, 1\/3, -0.3, -70.3521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 618 + -602. Solve -5*z - 2*i = -w, z + 4*i - 3 = 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 46.2. Let x = -2.8 + 3. Let j = i - x. What is the biggest value in -4, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 1262*b**3\/5 + 107568*b**2 - 16051370*b + 243009475.\nAnswer: (b - 415)**3*(b - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuuuuukkyykuuuuuukw. What is prob of sequence uk?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/52382 and 53\/9647?\nAnswer: 45939014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/10 - 11*h**4\/24 + 2*h**3 + 18*h**2. What are the prime factors of u(5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163240 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*(-1)\/1. Let y(h) be the second derivative of -h**7\/210 - 5*h**4\/6 + 6*h. Let g(a) be the third derivative of y(a). Determine g(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - 32\/12. Let n = u + 25\/6. Which is the third smallest value? (a) -0.5 (b) 1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 11*p**5\/30 - 5*p**4\/8 - 2*p**2 - 9*p. What is the second derivative of i(g) wrt g?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16803233\/161 - -104355. Let r = 94\/7 + z. Let d(y) = -y**2 + 7*y - 10. Let q be d(3). Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 146. Let k(i) = 3*i - 280. Calculate -2*k(s) - 5*m(s).\nAnswer: -s - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32 + (-5 - 0) + (13 - 7). Calculate the greatest common divisor of 5709 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -1.1\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99550067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/20 + (-26)\/8. Let w(x) be the third derivative of x**5\/20 + x**4\/6 + x**3\/6 + x**2. Is 16 a factor of w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12097861 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -29, 0.5, 0.1, 5.6, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 17*o**3 - 16*o**2 - 5*o.\nAnswer: o*(o - 1)*(o + 5)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 145*x**2. Let n = 846 - 836. Let q(v) = -2*v + 9*v - n*v + v. What is l(q(a))?\nAnswer: 580*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - ((-2 - 1) + -4)) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/((-82)\/656)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/140 - 47*z**4\/14 + 4418*z**3\/7 - 415292*z**2\/7 - 692*z. Factor m(q).\nAnswer: (q - 94)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13040, -26288, -39540, -52796?\n\"Answer: -2*d**2 - 13242*d + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**4\/4 + 4*s**3 + 9*s**2\/2 - 54*s + 24. Factor o(u).\nAnswer: -3*(u - 3)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 - 6*n - 2. Is 15 a factor of w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11524 (base 6) in base 12?\nAnswer: -ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 + 20 = 0. Suppose 4*n = t - 39, 2*t - 54 = 4*n + w. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Let i = -2.5 + g. Let k = 112 + -95. What is the closest to 0 in 0, k, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14549 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4219714*h - 67*h**2 + 4219714*h.\nAnswer: -67*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 4*d - 3. Let f be a(-5). Determine t so that -4 + t**4 - 11 + 15 - t**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 20*f**2 - 7 + (0 - 3 + 5)*(4*f**2 - 20 + 20) + f**2 - 2 + 2)*(-2*f**2 + 2*f**2 - 2*f**3) - 2*f**2 - f**5 + 2*f**2.\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1 = -3*b, 24*b - 20*b = 2*l + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 + 3*z + 1. Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:29 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -740, -1510, -2280, -3050, -3820?\n\"Answer: -770*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9149629mg in nanograms?\nAnswer: 914962.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2999988 - 0.3. Round j to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 30*v + 3*z = -12, -2*z - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbbp when four letters picked without replacement from {p: 2, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 + 33*b**2 - 105*b + 75. Let s(a) = -a**3. Let r(w) = -j(w) + 4*s(w). What is f in r(f) = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 43, 78, 115, 154, 195, 238?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 11, b: 1}. What is prob of sequence zm?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**2 + c + 3. Let y be s(1). Suppose 617 = y*o + 5*b + 217, 2*b = 4*o - 332. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**5\/20 + p**4 + 5*p**3\/3 + p**2\/2 - 10*p + 9. Let r(y) be the first derivative of x(y). Let s be r(-11). Is 11 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-1\/36)\/s)*s**(-4\/19) assuming s is positive.\nAnswer: s**(1243\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 1. Let j(p) = -7*p - 1. Let g(q) = 15*q + 2. Let a(z) = 6*g(z) + 13*j(z). Let o(k) = -2*a(k) + 2*m(k). Let y(t) = -12*t. Calculate o(y(u)).\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2192 - 1805. Which is greater: i or 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93904 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sna when three letters picked without replacement from {a: 1, s: 4, n: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-180)\/(-135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczczzcczcccz. What is prob of sequence czc?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t - 11. Let j be u(-5). Suppose j = 2*q + 3*w + 4, 0 = 3*w - 3. What is the least common multiple of 7 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 581 + -1?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6 + 5*x + 11 - 17. Let i(m) = 14*m. Calculate -7*b(l) + 2*i(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/364122 and 137\/1188.\nAnswer: 728244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -717*m*s**4 + 2*m*s - 3*m + 20*s wrt s?\nAnswer: -8604*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2094721164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27655 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 + 5 - 4*x - x - x**3 - 2*x**2 + 14*x. Let r be c(-4). Let k(j) = 4*j - 2*j - 5*j**r - 3*j. Determine k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -5 + (-15 - -14) + -7 + 4 - -47?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 209, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1173 + -1172.998962. Round w to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419835.\nAnswer: 5, 59, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 10\/3*y - 25\/6*y**2.\nAnswer: -(5*y + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**4*y)**(-22\/9))**(-48))**(-1\/35) assuming y is positive.\nAnswer: y**(-704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19903 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 420 = 661. Calculate the remainder when 118 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2. Let i(k) = -34*k + 4. Calculate i(p(d)).\nAnswer: 102*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -1 - 21. Let a(g) = g + 15. Let m be a(s). Let h = 14 + -9. Sort -2, m, h, 3 in descending order.\nAnswer: h, m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 99*z - 7. Suppose 72 = -0*a + 3*a. Calculate the remainder when t(1) is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17442, -1, 3, 38 in descending order.\nAnswer: 38, 3, -1, -17442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11604 is divided by 11296?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8043.78l to millilitres.\nAnswer: 8043780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5442d + 4?\nAnswer: -54429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -909 - -1855\/2. Let o = -17 + a. What is the smallest value in -3, o, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -25, 10*h - 6*h - 44 = -u. What is the remainder when u*(0 - 51\/(-12)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 19.07. Let g = -667 - -946. Let k = g + -278.8. Which is the second smallest value? (a) m (b) k (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a551c (base 13) to base 6\nAnswer: -102112541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772494?\nAnswer: 2, 3, 128749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, u: 7}. Give prob of sequence uu.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u*u**(1\/9)\/u))\/(u*u*u**(-12)))\/((u\/(u*u**(3\/14)))\/u**(-3\/13)) assuming u is positive.\nAnswer: u**(21085\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 4*h - 5. Let g be m(-5). Suppose g = -4*y + 32. Let k(x) = x**3 - 7*x**2 - x - 12. List the prime factors of k(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19285, -38609, -57933, -77257, -96581, -115905?\nAnswer: -135229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-10))\/((-16)\/(-20)). Is -1 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6695876 by -11.\nAnswer: -608716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6\/11, -0.005539 in descending order.\nAnswer: 6\/11, -0.005539, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -15\/7 (b) -3\/8 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 4*u - u)*(-5 + 3 + 1)*(2 + 1 - 1 + (2 - 3 + 0)*(0 + 1 - 2) + 2 + 0 - 3)*(u - 3 + 3) - 10*u**2 + 11*u**2 + 16*u**2 as v*u + m + x*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83810 is divided by 83796.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from kdquu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 1 - (-37 - (22 + -65))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -16. Suppose 3*t = -3*q + 5*q + 12, -4*q - 16 = -c*t. What is the units digit of -3*(2 + q) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7440, -0.07, -15, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h - 14 = -42*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1110 and 17.4?\nAnswer: -19314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**2 + 340*l + 3279. What is g(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -23. Suppose y + 223 = 5*i, 2*y + 120 = 2*i + 34. Calculate the remainder when i is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose 5*g - q*n - 3*n = 135, 4*n + 15 = g. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, j: 1, x: 2, k: 1}. Give prob of sequence jk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 507 + 374 + 11 + 0*c**2 + 3*c**2.\nAnswer: 3*c**2 + 1029","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 - -130.7. Let f = 2\/51 + 43\/204. Which is the nearest to -3\/5? (a) f (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f + 64. Calculate h(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 31, 1\/3, 2\/5, 2, 95\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23659?\nAnswer: 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3, 5428 in descending order.\nAnswer: 5428, 63, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*p**5 + 6*p**2 + 1349*p wrt p?\nAnswer: -700*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**3 + 14*y**2 + 9*y**3 + 2*y - 11*y - 20*y**3 + 27. Is h(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1642*t + 18. What are the prime factors of z(-2)?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*p + 1867 - 663 = -1436 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 3*r + r + 4*r in the form k*r + g and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 11775597.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20870 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + (-4 - (-6 + -2)). Let g = 6 + -4. Let m(i) = -1 + 4 - 1 + g*i. Let a(l) = l**3 - 5*l - 5. Calculate s*m(b) - 2*a(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 48*g**2 - g - 1. Let u be c(-1). Calculate the highest common factor of 72 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/((-10)\/(-6)))\/1. Suppose -t*g - 2*g + 240 = 0. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + 4 + 0 + 43 + -61?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11925 and 0.2.\nAnswer: -0.02385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 95, 142, 207, 296?\n\"Answer: t**3 + 28*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 88*p + 216*p + 197*p + 7*p.\nAnswer: 332*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26682602.\nAnswer: 2, 13341301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2601.588 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from ttgilllli.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1272 and -107\/48.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3285 and -1924.\nAnswer: 6320340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666*w + 16318 - 19793 = w - 63325 for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490, -12340, -41772, -99074, -193534, -334440, -531080, -792742?\nAnswer: -1128714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u - 14. Let y be d(-8). What is the common denominator of -29\/8 and -3 + ((-1965)\/y)\/(-5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*h - 4 + 2, 6 = -y - 5*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -2*h. Solve -h*c + 16 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*v - 2 - 11, 0 = -3*b - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10538a + -5b6?\nAnswer: -105962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4759.\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 132289298.28.\nAnswer: 132289297.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 3*i**2 + 1 - 2*i**2 + 4*i**3. Let j be w(-1). Is 3 + 2 - (j + 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -7 (c) 1\/2 (d) -0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -7)\/((-132)\/152). Let b = 739\/99 + k. Let l = 1\/18 - b. What is the third smallest value in l, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82399190 to the nearest integer?\nAnswer: 9077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let q(z) = -104*z. Determine q(w(o)).\nAnswer: 208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303290866 to the nearest integer?\nAnswer: 36101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1*sqrt(143) + sqrt(143))*-6)\/(sqrt(891) - 3*(sqrt(891) - 2*sqrt(891))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:39 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*r + 90*r + 37*r + 496 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*l - 14 = 6, -2*y = -5*l + 13. Let c be 1\/((-5)\/((-20)\/(-28))). Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3170988 to 3 decimal places.\nAnswer: 0.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - z - 39 = 0, -4*z - 76 = -5*c + c. Let u(a) = -a**2 + 21*a - 62. Let s be u(5). Is c at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53544645.\nAnswer: 3, 5, 7, 11, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*g**4 - 11*g**3 + 436*g**4 - 857*g**4 - 4*g**2 = 0.\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76357*y + 80650.\nAnswer: -76357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g*g\/g**(-2)*g)\/g)\/g)**(2\/3) assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1065702 and 14095375.\nAnswer: 15161077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 294, 344, 392, 438, 482, 524?\n\"Answer: -d**2 + 53*d + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/532 and 49\/10.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/60 + b**4\/24 + b**3\/6 - 20*b**2. What is t(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 679247609\/4 or 169811902?\nAnswer: 679247609\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**2\/2 + 8*n + 2. Let a be r(6). Suppose -a = -k + 17. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41521 (base 6) to base 15.\nAnswer: -19cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by ((-8)\/(-6))\/(84\/3213)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 6*b + 2*b**2 - 4*b to j*b**2 + m*b + q and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 2*t)*(2 + 5*t - 2)*(0 + 0 - 3*t).\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let q = -1.2 + 0.1. Let i = 2.1 + q. What is the nearest to i in w, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - 11. Let n = -2045 - -2040. Which is the biggest value? (a) t (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + 100 + -168 + 100?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s - 5. Let g = 9 - 2. Let h be g - 1*(3 + -3). Determine r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 32*i**2 + 148412*i - 18552 = 0.\nAnswer: -4638, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*d + 7*d + 4*z, 0 = 3*z - 6. Suppose 2*u - u = -d*t + 13, -4*t = -4*u - 8. Let s(b) = 1 + 0 - u + 7*b**2. Let c(f) = f**2. Give s(c(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 22 = 25. Factor 0*v**2 + 4\/3 - 2*v + 2\/3*v**c.\nAnswer: 2*(v - 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -3863 (c) 1045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o + 22. What is x(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 829404513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 1. Let s be d(1). Let r = -1 + 1. Suppose l + r - 3 = s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 10*i - 6. Let k be i\/4*(-56)\/21. Suppose 0 = -6*b + k*b + 64. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l\/(l\/(l\/(l**20\/l))))\/l)))\/((l**(-8\/7)\/l)\/l) assuming l is positive.\nAnswer: l**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -33. Let x = 6 - -11. What is the remainder when x is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 4 (c) 0.5 (d) 3\/2 (e) 0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 - 233*c**5\/60 + 469*c**4\/24 - 235*c**3\/6 - 6*c**2 - 218*c. Factor d(n).\nAnswer: -(n - 1)**2*(n + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.08 + 0.08. Let h = d - -2.0025. Round h to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 597662812 and -1.\nAnswer: -597662812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 3\/4, 381\/10, -3, 2\/3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - 9. Let b(d) = d**2 - 11*d - 98. Let z be b(-6). Calculate the lowest common multiple of z\/(-12) - o\/3 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/66 - 18\/(-198). Let j = 0 - -4. Which is the nearest to 2\/3? (a) 0.02 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.786188mm?\nAnswer: 2786188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + 2 - sqrt(70)\/(sqrt(60)\/sqrt(6)))*6 + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 10*m**2 - 6. Calculate p(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 68, 115, 188, 293, 436, 623, 860?\n\"Answer: p**3 + 4*p**2 + 8*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234760\/12613 < 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 222022?\nAnswer: 222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 20, 0 = 5*g - 5*v - 2806 - 684. Suppose t - g = -c, 0 = 5*t - 5*c + 2*c - 3499. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**3 + 7*x**2 - 7*x**2)*(230 - 67 + 263).\nAnswer: 3834*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 40. Let f be q\/5 + 8 + -4. What is the biggest value in -5\/3, -2\/17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2540 in -6, 0.3, -0.3, 0.2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (5 + -2 - 2). Suppose 3*s = 4*s - 6. Suppose -u*j + s = -2. Calculate the least common multiple of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0 + 18*u - 2 + 1 - 4 + 0. Let o(b) = b - 1. Calculate -i(z) + 5*o(z).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) - (sqrt(648) - (sqrt(648)*-1 - sqrt(648)))).\nAnswer: -sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1601934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 - 297*o = 0.\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwjjjjjjjjw. What is prob of sequence jwjj?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 2364*p - 4732.\nAnswer: (p - 2)*(p + 2366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -34 (b) 1\/12 (c) 1017\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-731)\/(4 - (-3 - -6)). What are the prime factors of c\/(-3) + 21\/63?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 33 = g, 205*v - 132 = 4*g + 414*v - 204*v for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157208 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d - 4*o, 5*o - 11 + 19 = d. Suppose 0 = 4*g - 2*h - h - 6, -2*g = -d*h - 6. Solve 5*c + 0*c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3. Suppose -i + u + 1 = 0. Suppose -i = 3*l - 28. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39762975*a*r + 554235236*a + r wrt r?\nAnswer: -39762975*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -318013.5 and 0.038.\nAnswer: -12084.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 6. Suppose k = 2*o - 1, 4*k = 2*o + 5*k - 11. Solve -d*l + o = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 4*w - 2*w**2. Let y = 70 - 68. Let f(s) = 6*s + 6*s - y*s. What is f(a(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-44))\/((-8)\/((-336)\/63))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -20*t - 1. Let l be h(-1). Let w = l + -56\/3. Suppose -w*j**2 + 2\/3 - 1\/3*j = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**3\/3 + 13*v**2\/2 - 10*v + 4. Suppose -21*i = -13*i - 448. What is the remainder when i is divided by l(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57234895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.07. Let f = y + -1.96. Do f and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/321 in 64, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 7*p**2 + p + 15. What is the hundreds digit of q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -411 + 454. Let c = 16 - -6. What is the remainder when f is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*b + 52*b + 1041 + 7090 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from eeczeeezppeeepezez.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -7*s**6\/12 + s**4\/4 - 5*s**3\/6 + 6*s**2 - 2. Let r be z(1). Let b be 0 + (4 - 3) + 75\/r. Is b not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:02 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w + 0 = -2, -4 = -2*b - 5*w. What is the third derivative of m**5 - m**2 + 3*m**b + 2*m**5 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 - 2*t - 1. Let i(j) = -j**2 + 4*j - 5. Let a be i(2). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 3*i**2 + 115 + 8605*i**3.\nAnswer: 8605*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356484 is divided by 356466.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4355 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/3 - 1168559*b**2\/3 - 15775195*b\/3 - 7595458\/3 = 0.\nAnswer: -584266, -13, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19821, -14759, -9697, -4635, 427?\n\"Answer: 5062*d - 24883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.9366231 - -431212.7026231. Let g = -431150.76599955 + c. Let z = -17 + g. What is z rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/19 + 136*n**4\/19 + 1414*n**3\/19 - 5224*n**2\/19 + 3672*n\/19 = 0.\nAnswer: -54, -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2790c80 (base 13) to base 8\nAnswer: 57565152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28429, -27879, -26367, -23407, -18513?\nAnswer: -11199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010100 (base 2) to base 12.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b + 16*b = -5*u + 78, -4*u + 32*b - 29*b = -60 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-3 - sqrt(187))\/sqrt(11) + 5 + ((sqrt(102)*2 + sqrt(102))*4)\/sqrt(6).\nAnswer: 5 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 + 2*f - 1. Let c be o(3). Let i = -7 - -5. Let z = 5\/4 + i. Sort c, z, -1 in ascending order.\nAnswer: c, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - 7 + 7 - o + 0*o + 0*o + (4 + 2*o - 4)*(-5 + 3 + 4) to the form f*o + t and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20055\/1910)\/(6\/(-4))*-5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1387, 3245, 5135, 7063, 9035, 11057?\nAnswer: 13135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 9. Calculate the least common multiple of 9 and u(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -2.68941?\nAnswer: -2.28941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (27 - -74) - -46.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 2. What are the prime factors of (-92)\/l - 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -180, -236, -346, -528, -800?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -6 (b) 3 (c) 0.13 (d) 2462 (e) -1\/7 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2. Let o(s) = s**3 - 5*s**2 + 5*s. Let q = 7 + -3. Let l be o(q). Let h(k) = -l*k - k**2 + 4*k. Give i(h(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 55, -3.\nAnswer: -26, -3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -464732874 divided by 6?\nAnswer: -77455479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (22 + -104 + 18 - -21)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -78.1 (b) 30 (c) -44 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-2)\/(-35)*10\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1850)\/(-222) - ((-4)\/6 + 1). Solve 0 = -5*u + f - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2449 and 5332?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**3 - 6*y**2 + 7*y - 307. Let z(i) = i**3 + i**2 - i + 1. Let a(d) = -x(d) - 6*z(d). Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 273888954 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -390 - -2b5?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nine quarters of a century in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + y**2 - 4*y**2 + 4*y**2 + 0*y**2 - 2*y**2 + (19*y**2 - 68*y**2 - 69*y**2)*(-4 + 5 - 3).\nAnswer: 236*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - (11 + 81) - (0 - 0 - 33).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906185943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - l**3 + 2*l**3 + (-l**2 - 1 + 1)*(10 + 7*l - 10) - 41 + 41 + 8*l**3 as q*l**2 + j*l**3 + z*l + c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 56260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 18. Suppose 0 = 3*x - 5*y - 2, -4*x + 24 = x + 2*y. Solve x*k + 2 = -q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*432\/5670.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 10:22 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5))**(-21\/2) assuming s is positive.\nAnswer: s**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/840 - j**6\/180 + j**5\/120 - j**4\/24 + 4*j**3\/3 + 7*j**2. Let t(w) be the first derivative of q(w). What is t(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13342568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 24*j + 29. Let s(r) = 4*r + 5. What is -6*c(y) + 34*s(y)?\nAnswer: -8*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*2 - sqrt(153))\/(-5*sqrt(81)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 + 0*r**4 - 7*r**4 + (0 + 4 - 6)*(0*r**4 + 4*r**4 - 3*r**4) + 2*r**4 - 78*r**3 + 42*r**3 - 10*r + 35*r**3.\nAnswer: -7*r**4 - r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*g + 39, 21 = -g - 836*c + 832*c for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 410, -3?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.7 - -5.8. Let t = 9.4 + z. Round t to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 + -504. Let j = -197 - f. Suppose -8*p = -7*p - j. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2))**(-4\/11)\/((j\/(j*j*((j\/(j\/(j*(j*j**(1\/5)*j*j)\/j))*j)\/j)\/j*j*j))\/(j*(j*j\/(j**(-17)\/j))\/j)))**(-6\/7) assuming j is positive.\nAnswer: j**(-8556\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*q**5 + 17*q**5 + 40*q**5)*(0 - 2 + 0) + 3*q**5 + 28*q**2 + 2 - 28*q**2.\nAnswer: -49*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4281, 4380, 4479?\n\"Answer: 99*m + 4182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 3*l - 4*l**2 + (3*l + 3*l - 7*l)*(-3*l + 2*l + 0*l) + 4*l**2 - 5*l**2 - 22*l**2.\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 5*w**3 - 3*w**3 - w**3 + w - w + 36*w + 13*w**3 - 36*w + (2*w**3 + 0*w**3 + 0*w**3)*(0 - 4 + 3).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20020 - -12?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 15 + 3)*(-5*n**2 + 5*n**2 - 2*n**2).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(u + 0*u + u) + 14*u + 12*u - 43*u + (0 - 2*u + 0)*(2 - 6 + 2) - 4 + 4 - u to g + f*u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*36\/(-243)*18\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.054088 micrograms to grams.\nAnswer: 0.000004054088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d + 15. Let r be j(-4). Suppose -5*q + r*p + 1168 = p, 2*q = -5*p + 473. Suppose -n - n + q = 0. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/66 and ((-6)\/54)\/((-10)\/(-1965)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1661056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1011*z + 1. Let i = 54 + -53. Let b be w(i). What is the tens digit of b\/18 + 2 + 8\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 5*l - 4*q - 112, -5*l + 2*q + 354 = 0. Let n be (-94)\/8*12*(-1 - 0). Let g = 159 - n. What is the remainder when l is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1 + sqrt(11) + sqrt(33)\/sqrt(3) + 0)**2 + 1.\nAnswer: -12*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0726162 * 1.9\nAnswer: 0.13797078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) - 1\/(-5). Suppose 4*z - 100 = -3*b + 7*b, d = 3*z - b - 75. Solve 0 = -4*c - c - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.3 + 29.051. Let c = -1.249 - s. Which is bigger: 56 or c?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161028 divided by 13419\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*((sqrt(228) - sqrt(228)*3*-4) + sqrt(228)))\/(-6*(2*sqrt(300) - sqrt(300))) + -1)**2.\nAnswer: -56*sqrt(19)\/5 + 14921\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 2507 = -2591 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlazzmzpzl. What is prob of sequence llzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 130 = -3*h, 6*q - 254 = 2*q + 3*h. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - (2*sqrt(121)*6 - sqrt(121)) - sqrt(121)) + sqrt(121))\/sqrt(11))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 98 = -44*r + 690 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-14)*6\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -9, -3, 0, 10.\nAnswer: -9, -3, -2, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10454, -2, 1 in decreasing order.\nAnswer: 1, -2, -10454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-123)\/9)\/(-27*4\/324).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 1. Let x(w) = w**3 - w**2 - 6*w + 1. Let o be x(3). Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -s - 3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -37. What is the units digit of l\/(-8) - 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x = -100*x - 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 + 4*b**2 - b + 2 - 6*b**2 + 2*b - 5*b**4 to the form n*b**2 + g*b + t + v*b**4 + j*b**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -26966.\nAnswer: 1\/13483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232175*n**5 + 309*n**2 + 47*n + 17.\nAnswer: 13930500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2. Let k(h) = 70*h**2. Give k(g(a)).\nAnswer: 2520*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/65 and 33\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 5. Let d be a(-3). Suppose d*y - x + 4 = 3*x, 0 = -4*x. What is the lowest common multiple of 3 and y + 5\/(-3)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, e: 2, o: 4}. Give prob of sequence oeec.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k + 3255. Determine z(-54).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6222240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {z: 4, g: 3, l: 2, h: 1, j: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-10)\/(-46))\/5)\/(15\/(-15)))\/(-5).\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 5:13 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6727512 + -5.\nAnswer: 6727507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 27\/15*(2288\/52 - 39)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:46 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8*c - 3*c - 13, 5*t + 35 = 4*c. Let z be ((-5)\/(-30)*t)\/(1\/14). Is 17 a factor of z*(524\/(-28) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22049 - 12293. What is the greatest common factor of t and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 37*r + 45899 = 42*r, 0 = r - 7. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0779 times -1.02\nAnswer: 0.079458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0 + sqrt(12)\/sqrt(6) + 2*sqrt(32))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 75.093. Let d = -0.207 + w. Put 4, d, 1 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 45. What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476535991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 32*w - 14. Let y be o(6). Suppose q - 267 = y. Suppose -b - q = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.219 times -0.281\nAnswer: 6.524539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 53, 48, 41, 32, 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 191.\nAnswer: -57.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 674537842632 - -0.5.\nAnswer: 674537842632.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39127*n**2 + 78263*n + 18.\nAnswer: (n + 2)*(39127*n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 231678 = 4*a - 1376274. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 7*2*(-3)\/30. Let l = 2.86 + 2.14. What is the nearest to 1\/8 in s, -2, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*x + 1350, -2*v + 3*v - x = 340. Let r = v - 144. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 17 = -v, -11*v + 9*v = a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 878256 divided by 432\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -1, -2, 3, -192 in descending order.\nAnswer: 3, -0.15, -1, -2, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:45 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 169579 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5467236*u**5 + u**4 + u**2 - 277*u - 20 wrt u?\nAnswer: 328034160*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140533.5 and 0.3?\nAnswer: -42160.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 1 + 0)\/(-51 - 10225\/(-200))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**3 - d. Let f be t(1). Suppose f*j = 5*j - 12. Let k(s) = -s + 13. What is the tens digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471464798 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 - i - 10. Let w be k(-7). Let d be 8\/6*(-18)\/w. What are the prime factors of ((-3)\/(-2))\/(d\/64)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:31 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/9, 13441, -4\/5?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4911*v**3 - 15*v**4 - 4911*v**3 - 4 - 4*v**2 as q + a*v**4 + j*v**2 + x*v + g*v**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 554, 820?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527374*v + 13*v**2 - 2*v**2 - 9*v**2.\nAnswer: 2*v**2 + 1527374*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 10*o + 140. Let c = o + -27. Solve 3*u - 10 = -c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y + 612. Calculate q(42).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 39524.\nAnswer: 39524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -179 (b) -6\/5 (c) -0.5 (d) 1\/2 (e) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 181.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = o + 3, 3*x + 18 = -2*x - 4*o. Let w = -12 - -6. Let s = x - w. Solve -6 = -4*g + g, s = r - g + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 207 = 7*j. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17632.70343 to the nearest one hundred.\nAnswer: -17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 - 2*z - 1. Suppose x = 5*c + 2*x - 31, x + 39 = 5*c. Suppose -3*i + c = 10. What is g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + (11 - 2 - (29 + -22))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 7) to base 2.\nAnswer: -10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 744020789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.38*14\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.117, 31, 3, 17?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 10:30 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7014 = 78*d + 89*d. Sort 3, d, 11, -1.\nAnswer: -1, 3, 11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/32*(-4)\/(-7). Suppose v + v + 8 = p, 0 = 3*p - l*v - 4. Let t(g) = g**2 + 5*g + 5. Determine t(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659463 is divided by 414862.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/353888 and 89\/42.\nAnswer: 7431648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296818.\nAnswer: 2, 19, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 t when three letters picked without replacement from tqntpqrfqftpf?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64072805 rounded to four dps?\nAnswer: 0.6407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 - 12*c**2 + 4*c + 9. Calculate the remainder when g(-5) is divided by 74.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1378 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i + 5*i - 3*i + 1 - 2*i - 1 - 2 + 2 + 2*i + (1 - 4 + 4)*(4*i - 3*i + i) + 2*i + i - 2*i - 7*i - i + 0*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - k = -7, 0 = -189*k + 194*k + 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2095\/12 - -74003\/420. Find the common denominator of -71\/210 and f.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -7, -0.5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 126638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965051 is divided by 74074.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49665082*1\nAnswer: -49665082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2*l + 18 = 0, 0 = 3*l + 5 + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 28. Let r = -2 - -1. What is the remainder when 21*(8\/(-6))\/r is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-8))\/(-5)*40\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1386*u - 57799. Give v(-42).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 3.921?\nAnswer: 274.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2511\/815 + 600\/163. Sort 53, 0.06, -0.07, p in ascending order.\nAnswer: -0.07, 0.06, p, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*u - 96, -2*u + n + 82 = u. Suppose -25*k - 549 = -u*k. List the prime factors of k.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Let t = -66.6 + 67. Which is the nearest to g? (a) 5 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*1 + sqrt(228) - sqrt(228))\/((sqrt(132) - (sqrt(132)*-2 + sqrt(132) + sqrt(132)))\/sqrt(11)) + 0.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2123.3 and -414?\nAnswer: 1709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**3 - h**2 + h - 1. Suppose 0 = 5*u - 4 - 1. Let f be d(u). Suppose -34 = -5*s - 2*k, -5*s + f*k + 55 = k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1503552 by -191.\nAnswer: 7872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12336612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2462.502 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203.81 + -182.8. Let x = o + -21. Round x to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1104\/(-192)*(-16)\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-51)\/(-9) - 4)\/((-10)\/(-12)). Suppose -2*u + 2 = l*g, -4*u = -2*u + 8. Solve -g*v - 20 = 0, -30 = -0*k + 5*k + 5*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 24*c**2 - 6. Let r = 22 - 25. Let b be w(r). Suppose -4*p - b = -11*p. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(117))**2.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 13 = -4*x. Let q be 12\/(-5) - 4\/x. Does 11 divide (-1)\/(q + 63\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let w be s(-2). Let r be 1\/(w*(-2)\/8). Is (-10)\/(r\/(-6) - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/7, 12\/35, 2, -1\/3, -4?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 9188.\nAnswer: 918.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -6 + -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 307 - 311 = 0. Determine f so that 1363*f**4 - 3*f**3 - 1367*f**w - 4*f**2 - 5*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*k + 822 = 0, 4*k - 2*k = 3*g - 613. Let q(u) = -u**2 - 77*u + 709. Let c be q(-85). Calculate the greatest common factor of g and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/10 + k**4\/6 - 5*k**2\/2 + 86*k + 2. Let u(g) = 3*g**3 + 3*g**2 - 7. Give 7*i(b) - 5*u(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25337 + -25277. Which is the closest to 1\/3? (a) o (b) 0.2 (c) 1\/6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-2*sqrt(833)*-4 - (sqrt(833)*-2 + 0)) + (-5 + -5 + sqrt(833))*-2)*5)**2.\nAnswer: 57680*sqrt(17) + 1343409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 greater than or equal to 739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 3, s - 16 = 2*j. Suppose -14 - s = -4*o. Let c(t) = 11*t - 9*t - o*t. Let x(q) = q**2. Calculate c(x(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -39814, 1310?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t = 145 + 121. Solve t*v + 4 = -31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103285, -206580, -309887, -413212, -516561, -619940?\n\"Answer: -d**3 - 103288*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 31. Let k be j(16). Sort 58, -4, -5, k in increasing order.\nAnswer: -5, -4, k, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2077, 8606, 19483, 34708, 54281?\nAnswer: 78202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 32051721.94.\nAnswer: -32051723.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - c**3 - c**2 + 0*c**3 - 4*c to s + j*c + o*c**2 + w*c**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let d(f) = 2*f + 6. Let m(l) = -l + 6*l + 1 - 3*l - l. Let n(c) = -4*d(c) + 24*m(c). Give n(r(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17*j**2 + 12*j + 27*j**2 + 5 + 21*j - 18*j. Let l be m(-4). What is the highest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + o - 2 + 3*o**3 - 2*o**3 - 1 - 6*o**2. Let z be i(5). Let m(r) = -9*r - 16. Is m(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 3*m)*(-521 - 683 + 277).\nAnswer: 927*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/12)\/(1\/((-30)\/(-1325)))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 530 divided by -206023\nAnswer: -530\/206023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/518400 and 1\/24192.\nAnswer: 3628800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-8)\/(-4))*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*a**2 - 19*a**2 + 11*a**2)*(-3*a**2 - 2*a**2 + 3*a**2 - 7) to the form k*a**4 + u*a**2 + q*a + z + p*a**3 and give k.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - 0)*(-60)\/(-18). Suppose 2*c - 18 = -5*g - 0*g, 4*g - q = -4*c. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4685.2067 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9441669 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405992.4l in millilitres?\nAnswer: 405992400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 571*h**2\/2 - 23519*h\/4 - 12331\/2.\nAnswer: -(h - 1121)*(h - 22)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639689291 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -21*u - 3. Let j be p(-4). Suppose 5 - 5 = -50*o. Suppose k - 5*b - 42 + 13 = 0, o = -3*b - 12. Calculate the highest common factor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249089 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/((3*sqrt(36))\/sqrt(6))*3)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14259.\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 14*d + 26. Let v be y(5). What is the highest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(3\/((-18)\/4)). Suppose p = 3*p - y. Suppose 109*m = -26*m + 3*m - 132. Put p, 1, m in increasing order.\nAnswer: m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 8*o - 21, -3*o = 182*j - 187*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/26 and ((-1170)\/936 + 1\/4)\/(113\/(-11)).\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 + 10 + 3 - 6.\nAnswer: -18*p**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-66)*(-2)\/30*12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -48*q**2 + 210775*q. Let u(d) = 33*d**2. Give y(u(w)).\nAnswer: -52272*w**4 + 6955575*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:55 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*i = 2*i - 23, -3*i + 3 = 0. Let l be 2\/((-2)\/3) - -8. Is l at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 7, t: 7, x: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 1287 = 483. Let j = 247 - l. What is the remainder when j is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*c**6 - 18*c**2 + c**3 + 74*c**4 + 19*c**2 - 74*c**4 - 19*c wrt c.\nAnswer: -6960*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + 161. Suppose 5*p - k = -0*p. Suppose -2*z + z + 10 = 0. Calculate the smallest common multiple of z and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:37 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 18345*b\/4 - 18347\/2.\nAnswer: (b - 2)*(b + 18347)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*1\/(-20)*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/8 + 3201*d**2\/8 + 544041*d\/4 + 14721993 = 0. Calculate d.\nAnswer: -492, -341, -234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98577.29 millilitres to litres.\nAnswer: 98.57729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -11*b + 72, 6 - 6 = b + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 9*o + 50. Which is the nearest to 1\/3? (a) o (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 - -222. Suppose -24*y - 10 = -22*y + 2*b, 4*b = -3*y - w. Put y, -2, -15 in increasing order.\nAnswer: -15, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vefvavkaaavo. Give prob of picking 2 k and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 1c98?\nAnswer: -1c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 9*y - 3. Determine x(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 43 - 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 330*v + 11231. Calculate o(-194).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25783 and 1311?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*o = 88*o + 4. Let z be (-2 - 16\/(-12))\/(o\/(-306)). Suppose 83 = 4*j + z. What is the biggest value in j, 5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -19*g**2 + 3 - 15*g**2 + 3*g + 48*g**2 - 13*g**2. Suppose -4*n = q + 13, 3*n = 2*n - 2*q + 2. Give t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(468) - (sqrt(832) - (sqrt(832)*3)**2) - ((sqrt(13) + sqrt(52)\/sqrt(4)*-5 + 4)*-6)**2.\nAnswer: -576 + 1120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, -248, 5, 6 in decreasing order.\nAnswer: 6, 5, -1\/4, -2, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let y(k) = 10907*k**2. What is y(l(i))?\nAnswer: 10907*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.0367 - -0.0367. Sort s, -0.02, 0.2, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, -0.02, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let g(v) be the second derivative of -1\/2*v**2 + 6*v + 0. Let w be (-54)\/(-24) - (-3)\/24*-2. Determine w*a(r) + g(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*g + 455 = -93*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160 at least 8161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21632348 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*u + 9810, -16370 = -5*f + 8*u - 9*u. Suppose 9*n = -620 + f. What are the prime factors of n?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**19\/(k**(-1\/5)*k*k) assuming k is positive.\nAnswer: k**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -6 + ((-14 - -7) + -3 - -26).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103791 and 448311?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*l + 54, -10*l + 180 = 122*y - 121*y for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 158, 403, 746, 1187?\n\"Answer: 49*v**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 39*v + 125. What is the thousands digit of i(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471106680.\nAnswer: 2, 3, 5, 11, 173, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.1, 5, 2\/49, 0.\nAnswer: -7, 0, 2\/49, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205164\/11 greater than 109560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 133*i**2 - 353*i + 3426. Let k be o(10). Which is bigger: 13197 or k?\nAnswer: 13197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 62. Let r(v) = 13*v**3 + 149*v**2 + 144*v - 4. Let w(h) = 15*h**3 + 150*h**2 + 145*h - 5. Let n(f) = t*w(f) + 5*r(f). Factor n(m).\nAnswer: 5*m*(m + 1)*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -6*o, 2*o + 6 = -2*h. Let q = -143 - -156. Calculate the remainder when q is divided by h\/2*28\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7803 - 0.2197. Let z be 2 + -1 - (-10)\/(-2). What is the nearest to 3 in -1\/4, o, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 + 25*r + 2. Let m(v) = 7*v**3 - 26*v - 4. Give -5*f(l) - 4*m(l).\nAnswer: 2*l**3 - 21*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -2285?\nAnswer: -2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 16*c**2 + 12*c.\nAnswer: 4*c*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 - (5 + (0 - 1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.981824 litres to millilitres.\nAnswer: 981.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6721*d**3 - d**2 - 497*d + 434574185 with respect to d.\nAnswer: -20163*d**2 - 2*d - 497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -7*q - 1\/42*q**7 + 0*q**2 + 0*q**3 + 0 + 1\/12*q**4 + 1\/10*q**6 - 3\/20*q**5. Find o, given that a(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**2*t*u + 3*l**2*u + 540902*l**2 + 3*l*t*u + 598*t*u + 61*t with respect to t.\nAnswer: -4*l**2*u + 3*l*u + 598*u + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114884 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22475 + 22474.8. What is the biggest value in d, 2\/5, -16.98, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -147)\/((-34181)\/(-14649)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 7*b**2 - 5*b**2 + b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 25320, 4, 147, 1 in descending order.\nAnswer: 25320, 147, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 7. Let l(u) = 19*u + 3*u + 6 - 27*u. Give 7*l(d) - 6*z(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 51*g + 25. Let f(m) = 52*m + 23. Let l(k) = 4*f(k) - 5*y(k). What is the first derivative of l(z) wrt z?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85 times -0.4?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2813 by 29.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 3*d**2 + 4*d**2 + 1 + 8*d**2 in the form k + u*d + y*d**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92810 - -831044\/9. Let z = w - -472. Suppose -4\/9*i + z*i**2 + 0 = 0. What is i?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35766.75 seconds to microseconds.\nAnswer: 35766750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1149 + -18395\/16. Find the common denominator of i and (-175)\/60 + (-3)\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from {k: 1, z: 1, f: 2, u: 2, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560472 is divided by 83.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 4*i + 4, 5*i + 7 = -4*s. Let x(n) be the third derivative of 9*n**4\/8 + n**3\/3 + 4*n**2 + 24. List the prime factors of x(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4394689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 1 (b) -0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1970 + -13793\/7. Sort s, -1045, 0 in decreasing order.\nAnswer: 0, s, -1045","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g. Let u(f) = -11*f. Let c(h) = -5*q(h) + 3*u(h). Suppose -3*v + 2*v + 2 = 0. Let y(r) = -1 - v*r**2 + 1 + 0*r**2. Calculate y(c(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40761 = -4*q + 3*r, 5*q - 51033 = 5*r - 83. Suppose 28*w + q = 31*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(300) + -3 - sqrt(3) - sqrt(3))) - (1 + -4 + sqrt(27) + -1)**2.\nAnswer: -38 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 89 and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-17068)\/12)\/((-2)\/6))\/1. Let f be v\/187 - (-4)\/22. What is the highest common divisor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7070 + -7113. Put i, 1, 25 in ascending order.\nAnswer: i, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784891?\nAnswer: 89, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1 - -1) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63872, 128910, 195118, 262496, 331044?\n\"Answer: 585*v**2 + 63283*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 + 4*a**3\/3 - 19*a**2\/6 + 5*a\/3.\nAnswer: a*(a - 1)**2*(a + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33229 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 6*n - 2. What is w(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + 2. Let i(w) = -1899*w - 6. Determine i(v(y)).\nAnswer: 11394*y**2 - 3804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-5))\/(18*(-3)\/90))\/((-104)\/24)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65581480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5))**(-50)\/(u**(-2\/11)*u*u**(-13)*u) assuming u is positive.\nAnswer: u**(2323\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 45*q**2 + q - 1. Let i be n(1). Let o be (16\/24)\/(4\/18). Suppose -3*w = j - o*j + i, 0 = -4*j + 3*w + 87. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 270*k + 1138 - 1138 + (3*k - 3*k - 2*k)*(0 + 0 + 2).\nAnswer: 266*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -718*l + 1. Let o be q(-2). Let y be o + ((-2)\/5 - 18\/5). Let j = y - 10051\/7. Find the common denominator of -24\/5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22139 and 1.08.\nAnswer: 22140.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/16)\/(1\/(-4)). Let q be j\/77 - 48\/22. Let h(r) = -r - 53 + 100 - 47. Calculate h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*216\/(-90)*39\/26?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - 198*o + 2400. Calculate r(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*i - 6 + 40*i - 85*i + 5*i + 1 as k*i + z and give k.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2695 and 539?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyqy when four letters picked without replacement from {q: 2, c: 2, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/9 - 5\/15. Let i(u) be the third derivative of 0 - 1\/6*u**3 - 3\/20*u**5 + 0*u + 8*u**a + 0*u**4. Find the first derivative of i(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1 (c) -304 (d) -1622 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 515?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**2 - 197392*j - 65796.\nAnswer: -4*(j + 16449)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at most as big as -31\/23682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001101100 (base 3) to base 15.\nAnswer: -1e6d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxixmm. Give prob of picking 1 i and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 27*f + 64. What is the smallest common multiple of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -13. Let n(p) = -189*p + 23. Let i(h) = 571*h - 69. Let l(x) = 6*i(x) + 17*n(x). Is l(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -k - 132. Let h(a) = -6 - 4 + 24*a + 1. What are the prime factors of h(k)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + x. Let u(w) = w**2 + 25*w. What is -2*h(p) - u(p)?\nAnswer: -3*p**2 - 27*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18422 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 4*c**2 + 4*c + 5. Let r be x(-2). Let f = r + 124. Suppose 0 = 2*p - 6*p + 232. What is the greatest common factor of f and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(2 + -3) + 5)\/1. Suppose 0 = q - 3*b - 25, c*q + 0*b - 35 = -b. What is the greatest common divisor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -17ebcc?\nAnswer: 17ebba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:59 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 665461217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21223132321 (base 4) in base 6?\nAnswer: -130215121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 4*f - 4*f)*(0 + 1 + 2) + 1 - 2*f - 1 to the form r*f + w and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - y - 2. Let q be r(-1). Let o be (q - 1)*2*(-41)\/(-8). Find the second derivative of o*s**3 - 3*s - 406 + 406 + 2*s wrt s.\nAnswer: 246*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -72798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*j - 4*j. Suppose n + 5*u + 12 = 2*n, 3*u = 2*n - 10. Suppose -j + n = -w. Solve 4*c = 16, g - w*g + c - 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of ((-4)\/(72\/4026))\/((-11)\/99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-221)\/(-91) + 4\/7. Let g be j\/(-12) + 1\/4. Solve g = 4*c - 6 - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -207390?\nAnswer: -1036950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/10 - 17*o**3\/10 - 69*o**2\/10 + 153*o\/10 + 54 = 0 for o.\nAnswer: -3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 261 + 534. List the prime factors of j.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.052, 1.5, 45?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 2*k + 250. What is the remainder when 123 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627481764 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s - 18. List the prime factors of 4\/(-6) - 76\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 + 0.4. Let c = -2.9 + -83.1. Let y = c + 84. Put q, y, 1\/4 in decreasing order.\nAnswer: q, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 7115*h**3 - 3684*h**2 - 8173190*h wrt h.\nAnswer: 12*h**2 - 42690*h - 7368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -62734, -5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 24. Suppose -2*s = 4*g - p*s - 160, -2*s = 3*g - 110. What is the third derivative of 15*f**4 - 75*f + g*f + 3*f**2 + 37*f wrt f?\nAnswer: 360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350999 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r - 1. Let w be m(-4). Let y = -13 - -16. What is the third smallest value in w, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4458483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/11 - 17\/33. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/14)\/((-2)\/4). Let l = 2\/989 - -10867\/5934. Let p = l - 67\/30. Are y and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (13 - -3)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8827*u - 172523 + 637740 = -315003 - 349636 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3481 - -3510. Suppose -5*n - 3*l + 64 = 0, 3*n - 30 = n + l. What is the remainder when k is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*f - 6*f + 161*f - 9*f to the form l*f + p and give l.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 9. Let b(n) be the first derivative of -3*n**2\/2 - 155. Determine s(b(p)).\nAnswer: -3*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raljrjrrrkrxaxj. Give prob of sequence rx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4488)\/(-85))\/22*-1*5\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267440 divided by -5?\nAnswer: 53488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38355\/8 - 4787. Calculate the common denominator of 41\/4 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/3 - 15\/(-45). What is the third biggest value in 1\/4, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:06 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1.5. What is the biggest value in x, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 51*a + 30. Let l be d(31). What is the highest common divisor of l and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 3:04 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 2950*x\/3 + 98468\/3.\nAnswer: 2*(x + 206)*(6*x + 239)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 144.943171 less than -2?\nAnswer: -146.943171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Suppose -4*r + r - n + 27 = 0, -n = 0. Let k = r - j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/6)\/(2\/(-6)). Let z be (-112)\/(-49) + (-2)\/p. Suppose -j = -z*q - 7, 5*q - 4*j + 25 = -0*j. Is q at least as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 25.6. Suppose 0 = i - 4*i + 6. Let k be i\/8 + (-49)\/84. What is the closest to 2\/3 in d, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275300*0.7.\nAnswer: 192710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1539412, -3078769, -4618150, -6157561, -7697008, -9236497, -10776034, -12315625?\nAnswer: -13855276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5745\/1 + 21\/7. Suppose -14*q + b = -2*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 + 57*i - 43. Calculate g(16).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 28. Let i(f) = -276*f**2 + 539*f**2 - 265*f**2. What is y(i(k))?\nAnswer: 2*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101204 - 1720466\/17. Let y(u) = u**3 - 4*u**2 - 5*u - 7. Let x be y(5). What is the closest to x in -2\/3, h, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 21.67\nAnswer: 108.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 675445013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1851*z = -1928*z - 94475 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 7*k**5\/20 - k**4 - k. Find the third derivative of t(f) wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 0.2 (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2635\/133 - 1623199\/1064. Let y = -1553 - c. Calculate the common denominator of y and ((-62)\/8)\/((-6)\/(-4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1.8, 1, -66.56, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(50) + sqrt(300)\/(sqrt(600) + sqrt(6)))\/(sqrt(810)*2).\nAnswer: -1 + 2*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58.657 + 63.857. Let w = -0.8 - 0.2. Are a and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 1.3. Let r = h - 1.1. Round r to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -14. Let m(o) = -k*o + 56 - 56. Does 10 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651929*i - 1303860*i + 651930*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 times 0.709?\nAnswer: -348.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Let t = -7826 - -7834. Suppose 0 = -t*i - m - 12. Which is bigger: i or -27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/34, 2\/19, 2, -0.03 in descending order.\nAnswer: 2, 2\/19, -1\/34, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.52 at most as big as -0.61833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-1))\/(3*-1). Suppose w = -l + 3. Suppose -22590 = -l*g + 1410. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664604 is divided by 161?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -3\/7, 4, -46 in increasing order.\nAnswer: -46, -1, -3\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 51 - 36. Solve -f*y = t - 7, y = -3*t - 0 + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3378988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.086, 3\/4, -0.5 in increasing order.\nAnswer: -0.5, -0.086, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from {d: 5, g: 4, s: 8, o: 1}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099091838?\nAnswer: 2, 3, 13, 41, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1750*o**2. Let v(h) = -h**2. Calculate v(n(q)).\nAnswer: -3062500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 175 - 172 + 23*w - 4*w - w**2. Let o be v(11). Let x = o - 41. Does 50 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2\/7*t**3 - 132\/7 + 34\/7*t + 20\/7*t**2 = 0?\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**5 - 71*a**3 - 2414*a**2 - 9. Let h(i) = 35*i**3 + 1206*i**2 + 4. Let d(m) = 9*h(m) + 4*x(m). What is the third derivative of d(z) wrt z?\nAnswer: -240*z**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 - 17*y**2 - 10*y**2 + 7*y**2 + 3*y**2 + 5*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3 - 7\/2) + 1. Let s(z) = -12*z - 2 + 0 + 11*z + v. Let f(u) = 8 + 5*u - 5 - 1 - 6. Determine -f(g) - 6*s(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8256967*q**5 + 12285967*q wrt q?\nAnswer: -165139340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390746 is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17971 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216335443?\nAnswer: 2459, 87977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 153 + 2*a**2 + 63.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 16*j**3\/7 - 1196*j**2\/7 + 23904*j\/7 - 57024\/7 = 0.\nAnswer: 11\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1 + 1) + (-8703)\/9. Let i = -637 - s. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10067 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) 6 (c) 2\/5 (d) 139863\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f\/f**(-42)*f)*f)**(-12)*(f\/(f\/(f*f*f**12))*f*f)\/f**(-1\/41))**(20\/3) assuming f is positive.\nAnswer: f**(142140\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 13324783?\nAnswer: 13324782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 100 = -5*o. Let n(z) = z + 1. Let y(f) = -f**3 - 6*f**2 + 2*f + 11. Let x(m) = 6*n(m) - y(m). Let w be x(-5). Solve -b - 3*b + o = w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 10*t + 6 = -y, 4*y = -3*t - 19. Sort y, -73, 8.\nAnswer: -73, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 33*i - 118. Let j be o(4). Let l be (-10)\/(-15) + (-4)\/6. Which is the nearest to l? (a) -15 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*s + 62. Let m = -707 + 712. Calculate the least common multiple of m and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7782 and -68\/11673.\nAnswer: 23346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0.1, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*g + 4, -3*v = -0*g - 2*g - 4. Suppose v = w + 2*w - 9. What is the second derivative of -k**w + 25*k - 17*k + 9*k**3 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10977\/2)\/(132\/(-24) - -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 0, -5*r + 4*o - 4 = o. Let h = 45 - 31. Suppose h = 5*p - 6. Calculate the highest common divisor of r and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffh when three letters picked without replacement from hfhhfh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*9\/27*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3567 - 2436. Let u = y + -778. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.5203 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let i = z + 19. What is the least common multiple of i and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 8*y - 16. Calculate m(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -174, -0.5, -0.6, -1\/10 in ascending order.\nAnswer: -174, -0.6, -0.5, -1\/10, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/5 + 260*v**2 - 102768*v\/5 - 283392 = 0 for v.\nAnswer: -720, -12, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 5*h - 0*h + 52, -h = 4. Let n be ((-3)\/((-12)\/j))\/15. Let o = -2.04 + 2.1. What is the nearest to o in 1\/7, n, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6428, -12859, -19292, -25727, -32164, -38603, -45044?\nAnswer: -51487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132 - 14) + 3 - ((81 - 90) + (17 - -1))?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let u(j) = -j**2 - 5*j. Let z(o) = 10*s(o) + 2*u(o). Let r(n) = 13*n**2. Give r(z(x)).\nAnswer: 52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 11. Let n(d) = -d - 1. Determine 6*n(f) - v(f).\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/3*100\/(-5). Let r be ((-1561)\/2)\/((-65)\/g). Let c = 240 - r. What is the closest to -5 in -2, 3, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 6*v**2 + 10*v - 9. Let y = 67 + -34. What is the remainder when y is divided by o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:10 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 897, 1345, 1793, 2241, 2689?\nAnswer: 3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1873 is divided by 137?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtmmtm. Give prob of picking 2 m.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, -93, -298, -699, -1362, -2353, -3738, -5583?\n\"Answer: -11*a**3 + a**2 - a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 454 and 45901443?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3292292 divided by 206.\nAnswer: -15982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/54298 or 1?\nAnswer: -7\/54298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 - 29439355*r**3 - 117757525*r**2 + 147196875*r = 0. What is r?\nAnswer: -5, 0, 1, 5887875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from kkkkkx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is -1036 at least as big as -1035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 162 = b, -155 - 19 = -4*y - 5*b. What are the prime factors of y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from {c: 1, k: 1, d: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 10 + 4. Let t be (-1)\/(-3)*5*j. Suppose -5*z - 24410 = 4*h, -t*h - z - 30504 = z. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2 + 71*w + 78. Give n(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g = 3*t - 82*g - 43512, 2*t - 3*g - 29042 = 0. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 125932, 251997, 378058, 504115?\n\"Answer: -2*w**2 + 126071*w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/2 + -17\/6. Let n = -2\/2637 - 15628\/255789. Let k = n - -236\/679. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/57*2 + 46004\/(-133). Let w = z - -1391\/4. Which is the third biggest value? (a) w (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 451406*s + 902811\/2.\nAnswer: (s - 902811)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - u + 5 = 0, d - 5 = -u. Suppose -6 = 3*y - 30. What is the remainder when (d + 6)*5\/2 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/j**2)\/j)\/(j\/j**(-4)*j))\/(j**0\/j)**(-10\/3))\/((j*(j\/(j\/j**(1\/2)))\/j)**(-10)*j**(-1)*j\/j**(2\/21)) assuming j is positive.\nAnswer: j**(-110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 13\/((-195)\/42)) + -7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 8. Let j(z) = 3*z + 29. Let x be j(-8). Let f be t(x). Suppose 4*s - 180 = -l, 0*l - 210 = -l + f*s. Is l a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17 - 3*a**2 + 6 + 15 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 8 + -3)\/1. Which is greater: o or 1\/143?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132432 and 144?\nAnswer: 397296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b = 17*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 6 (c) 2\/5 (d) -0.67 (e) -3\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1 - 1. Let n = 700 - 693. Let s be y(n). Solve -o - 3 = m + s, -4*m = 5*o + 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 7*a + 11. Let z be l(8). Sort z, 2, 4 in descending order.\nAnswer: 4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/9*(-3)\/2. Let x(w) be the third derivative of w**6\/120 - w**5\/3 - w**4\/8 + 55*w**3\/6 - 55*w**2. Let j be x(20). Which is bigger: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t - 2*l - 12, 4*t = 2*l + 18. Suppose t*c = r + 7, -r + 5*r = -c - 10. Suppose 3*i = c*i + 8. What is the lowest common multiple of 4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1361620 and 155\/1776?\nAnswer: 604559280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 280, 589, 896, 1201, 1504, 1805, 2104?\n\"Answer: -m**2 + 312*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxoxxooxxoxxxxxxx. What is prob of picking 1 o and 1 x?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -860 minus -5.44389?\nAnswer: -854.55611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 9*u - 10. Let s(o) = o**2 - 6*o + 5. Let d be s(4). Let a = -10 - d. Let h be l(a). Calculate the highest common divisor of h and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + (sqrt(396)*1*-6 - sqrt(396)) + sqrt(396))*3)\/(sqrt(225)*-1*-4))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223.06 - -220. Let n = x + 0.06. Let f be 8\/120 - (-3)\/5. Sort -3\/2, f, n.\nAnswer: n, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2103*t. Let m(i) = 23*i - 2. What is x(m(n))?\nAnswer: 48369*n - 4206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2773.759 micrometers to meters.\nAnswer: 0.002773759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 18*j**3 - 26*j**3)*(0*j + 4*j**2 + 0*j + (-2*j - j + j)*(-4*j + 5*j - 3*j)).\nAnswer: -328*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3748*i = 3745*i + 225, 5*s + 4*i = 545 for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v + 1. Let l(s) = -8*s**2 - 6*s - 6. Let w(p) = -l(p) - 6*u(p). Let k(f) = 9*f. Give w(k(t)).\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-12)\/(-40)*1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -101, -99, -97?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -17*i**2 + 7*i**2 + 8*i**2 + 0*i**2. Let r(o) = -18*o**2. Give r(b(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15744 and 1353?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94731 - 3317893\/35. Let j = 66 + n. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12191699 from 6038.\nAnswer: -12185661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*i + 595 = -1220, -4*f + 5*i + 1416 = 0. Let x = -238 + f. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30242*r**2 + 25268*r - 1?\nAnswer: -60484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 - 3*r**2)*(3 + 1 - 3)*(3 - 2 - 3).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28884566 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221.5463771 - 0.0166229. Let z = f - -222. Let i = z + -0.44. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-20)*4\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.6 - 90.32. What is o rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -991110, -1982172, -2973234, -3964296, -4955358?\n\"Answer: -991062*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 20, 2*o + 94 = -t + 86. Let y(h) = h**3 + 3*h**2 - 4*h + 1. Calculate y(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 1780*l**2 - 3572*l - 1788 = 0. What is l?\nAnswer: -1, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -y - 2*y. Let h be y\/(-4)*36\/(-15). Let u = -53 + h. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose -3*t - 6 + 51 = l. Solve -1 - t = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100100101101110100 (base 2) to base 4.\nAnswer: -3210231310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 3*q. Factor 4 + 13*j**2 - 12*j**2 + 2*j - q*j + 6*j.\nAnswer: (j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22031113223 (base 4) to base 2.\nAnswer: 1010001101010111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 2. Let f(g) be the first derivative of 1\/2*g**2 - 15 - g. Determine -6*c(o) - 13*f(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 32. Let f = -5 + b. What is the smallest common multiple of 11 and 2\/(-11) + 79\/f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:56 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -30. What is the units digit of (1\/c)\/((-1)\/49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1, 45 = -3*p - 2*f + 5*f. Let b(t) = t**2 + 18*t + 58. Let z be b(p). Solve 3*j = -v - 16, -3*v + v - z*j - 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 5*z**2 + 8*z - 5. Let g be d(5). Suppose 9 - g = -2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1. Let o(z) = -z + 4. Let m(a) = o(a) - t(a). Suppose 4*i - 53 = -5. Suppose -2*s + 5*s = i. Give m(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*a - 2413 = 212*a - 205 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 6. Let h be t(3). Suppose h*y + p = -3810001, 5*p + 2540005 = -y - y. Round y to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 4*y**5\/5 - 5*y**4 + 32*y**3\/3 - 8*y**2 + 9. Let q(x) = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Solve -2*r = 4*j, -r = -p*j - j + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 1, o: 9, f: 2}. What is prob of sequence uuk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.27 (c) 5 (d) 0 (e) -111081 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*w - 2, -5*j + 2*w = -8 + 3. Sort j, 59, 0.04 in increasing order.\nAnswer: 0.04, j, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/58180 and 3\/58180?\nAnswer: 58180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6365 and -3\/565763?\nAnswer: 189530605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -69*f**3 + f**2 + 19*f - 21. Give g(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1003, 948, 805, 532, 87, -572, -1487, -2700?\n\"Answer: -7*v**3 - 2*v**2 + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = 21*a - 23*a. Suppose a*j - 216*j = -48. Sort j, -14, 4, -1 in increasing order.\nAnswer: -14, j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*x = 74 - 66, 5*b = -5*x - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230704 is divided by 76865?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 58*o - 54*o + 931, -5*a - 4*o = -4727. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 - 22*q + 28. Let h(v) = -1 - 68*v**2 + 138*v**2 + v - 71*v**2. Let s(l) = -f(l) - 5*h(l). Calculate s(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -25. Suppose 3*q + m = 3*v + q, 15 = 3*q. Find the first derivative of 7 - p**v - 14*p**4 + 3 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180) + -1 + sqrt(180) + sqrt(180))*-3 - 4*(sqrt(180)*-2 - sqrt(180))) + (6*1*sqrt(180) - sqrt(180) - sqrt(180)) + 3)*-6 + 0)**2.\nAnswer: 18144*sqrt(5) + 318816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 2*r + 29*r**2 + r + 3*r**3 + 8 - 9 + 0*r**2 as b + p*r**3 + z*r**2 + o*r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1969 + 946*f**3 - 750 - 1219.\nAnswer: 946*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 2*j**2 - 10*j + 7. Let w be p(4). Let a(r) = 6*r**2 + r. Give a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28158, 224717, 758078, 1796643, 3508814, 6062993, 9627582?\n\"Answer: 28067*d**3 - d**2 + 93*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, -2.63, 1\/6, -5, 32?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 - 1. Let a(j) = -4*j**3 + 12*j**2 + 6. Let r(m) = -a(m) + 5*b(m). Let v(k) = k**2 - 8. Let q be v(0). Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvc when three letters picked without replacement from suveuccvscavevvcc.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 9425.\nAnswer: 9436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -23*q + 2380. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 271*g**2 + 24*g - 3. What is the thousands digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 26472814.2 milliseconds?\nAnswer: 0.0437711875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80 - 163) + 81 - (38 - -3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -7 (c) -1335 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17385431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -678*i**3 - 683*i**3 + 1564*i**3 + (-i**3 - i**3 + 0*i**3)*(-2 + 3 - 3).\nAnswer: 207*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 219\/(-9)*-1 - 4. Let u = m + -17. Factor -u*d**2 - 14\/3*d - 2 - 2\/3*d**3.\nAnswer: -2*(d + 1)**2*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 5*k**2 - 5*k + 5. Suppose -51*o + 39*o = -48. Determine c(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13600.7 minus -0.39905096?\nAnswer: 13601.09905096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 1767*t**4 + 1093143*t**3 - 265468985*t**2 + 18432513588*t - 342161212140.\nAnswer: (t - 557)**3*(t - 66)*(t - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22353487 divided by -1719499?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(2)*-3 + sqrt(2))**2*5 - sqrt(2)) + sqrt(2)) + 2*sqrt(72) + sqrt(4)\/sqrt(8) + -5.\nAnswer: -245 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7*r - 3*r = 0, -4*r = 4*a + 4. What is the remainder when 8 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3515 millilitres in litres?\nAnswer: 0.0283515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67111067 + 3?\nAnswer: -67111064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(6\/(-4)) - 0. Let g(n) be the second derivative of 0 + 1\/2*n**3 + 0*n**2 + w*n. Let k(o) = 2*o**2. Determine k(g(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(54) + (sqrt(54) - -1*sqrt(54)))*-4)\/((-1*sqrt(8))\/sqrt(4)))\/((-4*sqrt(216)\/sqrt(4) + sqrt(54))\/((sqrt(144)\/sqrt(3))\/sqrt(8))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 276\/30)\/((-296)\/(-15170))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -1.289 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -1\/3, 3\/4, -719, 0.4, 0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 17 = -l - 0*g, -4*g - 51 = -3*l. Let q be (-2)\/(-1) + l - -1. Suppose 4*x - 32 = q. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let r be 195\/(-44) - (-26)\/143. Let t = r - -67\/12. Are t and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1617700 divided by 11555\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83\/5 - 17. Let v = -17.69 + 3.19. Let q = v - -15.5. Which is the second biggest value? (a) f (b) q (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mnssvssvmv.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 8*u + 3. Let g(j) = -4*j - 2. Let c be g(u). Factor 135 + 40*k**2 - 64*k - 71*k + 5*k**c - 5*k**3.\nAnswer: -5*(k - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14748.2 and 886078.\nAnswer: 871329.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -389640 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*d + 2*d. Suppose -c + 1 = 2*p, d*c - 5*p - 53 = -10. Find t, given that 19*t**2 + 3*t - 7*t**3 - 4*t**2 - 18*t**3 + c*t = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-507 - 34*r + 115 - 40*r + 67*r)*(-5 - 2 + 5) in the form t*r + a and give a.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*l - 20 = 0, -18 = -4*l - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -4*k**6\/165 - 23*k**5\/110 - 5*k**4\/11 + 3*k**3\/11 - 703*k. Factor o(j).\nAnswer: -2*j*(j + 3)**2*(4*j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 4, 2, -1.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -205, -812, -2047, -4132, -7289, -11740?\nAnswer: -17707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*i - i**3 - 1083*i - 1432*i.\nAnswer: -i**3 - 2631*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15085*h + 901088 + 87921 + 882077 = 362586 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2142, 8578, 19306, 34326, 53638, 77242, 105138?\nAnswer: 137326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 830610.3 nanometers in kilometers?\nAnswer: 0.0000008306103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 493*u**3 + u**2 - 2*u + 1. Let r be (-10)\/(-4)*34\/85. Is v(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 - 1. Suppose 3*r + 3 = 4*p + 5, 5*p - 11 = -3*r. Let z be 1*-5 + -1 + p. Let i be o(z). What is i rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*s**2*t**2 - 2*s**2*t + 183*s**2 - s wrt t?\nAnswer: -224*s**2*t - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.7.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13849.925 and 0.1?\nAnswer: 1384.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41777\/127116 - -60\/1177. What is the common denominator of n and 73\/81?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -6 - 9. Suppose 532 = -3*l + d - 422, -5*l = -2*d + 1590. Find the common denominator of -79\/16 and 3 - (l\/8)\/f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 40 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.20060952\nAnswer: 0.040121904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 691707427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.77434945 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*d - 135 + 494, -n = -4*d + 115. Let t = n + 131. Solve i = -i - 2*a, -5*i = 3*a - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 39546*h**3 - 1734468*h**2 + 3310776*h = 0. Calculate h.\nAnswer: 0, 2, 42, 13138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189641.\nAnswer: 71, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyxxgxxvxgvgxpvzzz. Give prob of sequence vpz.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16871*k**4 + 9*k**3 - 2172*k**2 - 38*k + 2 wrt k?\nAnswer: 404904*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwouj. Give prob of sequence ovu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 830 and 57104?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193800493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2187*z**4\/5 - 153819*z**3\/5 + 103194*z**2\/5 - 4596*z + 1704\/5.\nAnswer: -3*(z + 71)*(9*z - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/7, -107, 1\/3, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551141 (base 6) in base 2?\nAnswer: -10110100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 81. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*v - 5*i - 5, 0 = -3*v + 5*i + 15. Let d = 7 - 4. Suppose v = 2*r - 5*h - 29, h + h = d*r - 71. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35213666189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4222.92 months?\nAnswer: 3.5191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from pfkpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/8)\/((-159)\/1272).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*d - 36 = 0, 20 = 5*u + 5*d - 20. Suppose 45 = 2*g + g. Calculate the greatest common factor of u and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**2 - 249 + 797*r**4 + r + r**2 - 6874*r**4 wrt r?\nAnswer: -145848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) - 66\/10. Let n = -8 - -7.9. Which is bigger: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 15 = -15. Put -5, c, -17 in decreasing order.\nAnswer: c, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 - 9*m + (-1 + 1 - m)*(2 + 0 - 4) + 16*m - 44*m + 67*m to b + t*m and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**3*x**5 + 37*w**3*x + w**2*x - 33*w + 738*x**4 wrt x.\nAnswer: 80*w**3*x**3 + 8856*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 2 (c) 7\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and -67\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12841769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1685, -1674, -1663, -1658, -1665, -1690, -1739?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -4*m**6\/15 - m**4\/12 + 5*m. Find the third derivative of h(u) wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 331941 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 5*s - 5 = 0, 2*z + 4*s = -2. Suppose 10 = -2*o + 3*v, 3*o - 2*v = -5*v. Sort 2, z, o in increasing order.\nAnswer: z, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*h - 6*a - 15, 5*a = 0. Let p = 7 + h. Suppose 0 = -5*y + 5*k, 4*y + p*k + 0 - 16 = 0. Solve 5*x + 2*s = -2 + 8, -y*x - 2 = 3*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10664381 + -24893051. Let x = 32828670 + q. Round x to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44811, -359005, -1211835, -2872623, -5610691, -9695361, -15395955?\nAnswer: -22981795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28222558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c = -3134087 + 1894660 - 7119003. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179404964?\nAnswer: 2, 44851241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1*10*320\/(-25). Suppose -2*i - t = -4*i. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -43*t**4 - 34*t**2 + 60*t - 640. Let u(q) = -14*q**4 - 12*q**2 + 21*q - 213. Let b(y) = -6*r(y) + 17*u(y). Find the second derivative of b(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -471?\nAnswer: -3768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 757 + -482. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137\/27 + 1\/(-9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((81 - 90) + (15 - -6) + -3 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -16*q - 160. Let o be h(-10). Solve o = -5*x + 3*p - 29, -16 = 2*x - x - 4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u = 11*u + 25*u + 1859 + 3513 for u.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -2*u + 5*z, 4*u - 2*z - 308 = u. Let n be -5*(-5)\/u*4. Put n, 0.4, -2 in ascending order.\nAnswer: -2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 b, and 1 x when four letters picked without replacement from {l: 2, x: 2, m: 1, b: 6, n: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:16 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*g + 2, -3*t - 3 = -2*g + 5*g. Suppose 0*u = -d + 3*u + 17, -5*u = -5*d + 65. Calculate the lowest common multiple of d and 1\/g*12\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -208*f**2 + 16*f - 7. Let x(w) = -69*w**2 + 5*w - 2. Calculate -7*x(g) + 2*z(g).\nAnswer: 67*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9)*y\/y**(-3))\/(y**(-4\/7))**(2\/81))**(16\/7) assuming y is positive.\nAnswer: y**(-45232\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10870 and -86.\nAnswer: 934820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -8)\/(1\/(-3)). Suppose 2*v = w*n - 4*n + 1, -4*v = 5*n + 7. What is the third derivative of -4*u**2 - u**5 - 4*u**5 - 2*u**2 + u**v wrt u?\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1850540 and -4283437.\nAnswer: -2432897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -143*45\/495*((-21)\/4)\/(228\/152)?\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g*j**2*t + 11*g*j**2 - 2*g*j*t + 53*g - j**2*t + j wrt j.\nAnswer: -26*g*t + 22*g - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 + 293 = 4*z + 3*p, 3*p - 33 = -3*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 6*h = -5*n + 360, 0*h + 2*h = 4*n + 7*h + 129 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 791139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 916747, -2 in descending order.\nAnswer: 916747, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6)\/i*i*i*i**(-2\/9)\/i*(i**0)**(8\/5) assuming i is positive.\nAnswer: i**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05009 - 0.14991. Put -2\/17, b, 356 in descending order.\nAnswer: 356, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/2 + (-15)\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 18. Let w be o(-10). Suppose 636 = w*d + 2*d. List the prime factors of d.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -d - 19*o - 33, 56 = -4*d + 3*o for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 23\/3)*90\/(-60). Let c(j) = j**2 - 7*j + 41. What are the prime factors of c(v)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 80.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -337 divided by 40\nAnswer: -337\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3952 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f + 4*m - 127, 50 = -2*f + 17*m + 7*m - 392 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-72012.\nAnswer: 28804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 223 - 126)*(0*f**5 + 2*f**5 + 0*f**5 + (-2*f**4 - f**4 + 5*f**4)*(-2*f - 1 + 1) - f**5 + f**5 - f**5).\nAnswer: -240*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545044 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 896, 3593, 8044, 14213, 22064, 31561?\n\"Answer: -6*b**3 + 913*b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*t + 0 = 6, 3*a = -t + 5. Differentiate -a + 1 + 2 - 4 + 4*v**2 wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6350620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 1888, -5\/4 in ascending order.\nAnswer: -66, -5\/4, 1888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kddkkklekkekkk. What is prob of sequence le?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4993573 is divided by 936?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1936*u**2 + 1928*u**2 - 1595*u + 0.\nAnswer: -8*u**2 - 1595*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 1. Let w be b(2). Let c(k) = 3*k**2 - 4*k + 3. Is 18 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 8058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31379?\nAnswer: 31379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15707715?\nAnswer: 3, 5, 41, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k + 5*w = 76, -3*w + 171 = -5*k. Suppose -95*y + 83*y - 288 = 0. Let c be ((-11)\/(k\/30000))\/(3\/y). What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - 32*k**2 + 11*k**2 + 7*k**2 - 18*k + 6*k**2.\nAnswer: k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2111068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**2 + 0*z**2 + (2 - 2 + 1)*(9*z + 75*z**2 - 38*z**2 - 43*z**2) in the form l*z + r + f*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*v + 27 + 292, -w - 410 = -4*v. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 114 = -796. Suppose 29*q = 28*q + m. Let j(f) = 32*f**3 + 2*f**2 - 5*f + 4. Calculate the remainder when q is divided by j(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g)*(-10 + 11 + 16).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + 53 + 296752\/(-3298).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8699, 8741, 8785, 8831, 8879?\nAnswer: 8929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 + (2 + 2 - 2)*(-1 + 1 - 2) - 3 - 1 + 2)*(14*z - 5*z - 12*z + (-1 + 0 - 1)*(-2*z - 2*z + 2*z))*(-2 + 0 + 4).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 3*o - 2. Let y be t(3). Suppose -4*v + 3*v - y = 0. Let n = 13 - v. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20884 at least 20885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*i + 3*l + 21, -4 = 3*i - 2*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-3 + 3 + 2). Let b(k) = 2*k**2 + 6 + 9*k - k - 7*k. Let t(v) = -2*v**2 - v - 7. Give h*b(u) + 6*t(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3291445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Let p(y) be the third derivative of y**5\/12 + 5*y**2 + 3. What is f(p(m))?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 88. Give c(89).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48, 44, 52, 84, 152, 268, 444?\n\"Answer: 2*o**3 - 6*o**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11687 + x**3 - 4*x + 17*x + 9*x + 12*x - 678*x**2 - 36*x wrt x?\nAnswer: 3*x**2 - 1356*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462 is divided by 817?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4172*c - 33246. Give r(-8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553 - -555. What is the second biggest value in -4, 1\/6, -7, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30270 and 150.\nAnswer: 151350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297199 is divided by 631?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/18)\/(-17 + 799\/34 + -7)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93, -96, -97, -96, -93, -88, -81?\n\"Answer: g**2 - 6*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31845 in 1\/3, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)\/(n*n**(-4\/9)))**(-1\/34) assuming n is positive.\nAnswer: n**(-11\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 40 = 9*y. Let r(k) = k + 7. Let s be r(y). Suppose -5*p = -4*m - 7, 17 = -2*p - 4*m - m. Sort p, 5, s.\nAnswer: p, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 2\/(-15) - 770880\/(-3600).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, g: 2, o: 2}. What is prob of sequence oww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/770 and 1\/591848.\nAnswer: 227861480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z + 561. Let i be n(43). Suppose 0*y = y - 29. Let o = i - y. Calculate the remainder when 24 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671591232.\nAnswer: 2, 3, 13, 89689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j - j + 28 = 0, -3*b + 3*j = -30. Suppose 10 = 2*u - 4*c, -2*u - 7*c + 2*c = 35. Let q = b + u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) + (-2142)\/(-45). Suppose -5*h - 5*p + 162 = -13, -h + z = 5*p. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.346 * 4\nAnswer: -5.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404 divided by 371703.\nAnswer: -404\/371703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-4))\/((-43)\/43))\/(12\/54).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3735411 and -3735411 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 55. Suppose -9*q = -x*q - 4*s - 920, -4*q + 772 = 4*s. What is the first derivative of -7*p - 46 + q*p**4 - 189*p**4 + 2*p wrt p?\nAnswer: -4*p**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (9 - 16)) + (-5 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4953 - -4952.4682. Round j to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4680 = 101*i - 105*i. Suppose 15*h = 5*h + i. Let u = 122 - h. Solve -u*q + 7*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546950977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 21*d - 9*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1403 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4\/4 - 5*n**3 - 33*n**2\/2 + 20*n - 3472. Determine t(17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088976 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/9 - 2027740*u\/9 + 8110928\/9 = 0. What is u?\nAnswer: 4, 1013866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 411398\/(-22) + (-1)\/(-2). Let u be (-37388)\/(-2) - (-4 + 3). Let i = u + k. What is the common denominator of i and -41\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wmwmwwwwwwwmmmwmwmmm?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -86 (b) 17\/2 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:47 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 + -1013301?\nAnswer: -1012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2837390)\/4935 - -455) + 0 + 2\/(-42)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 + -64?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 25. Let r be (0\/(-4))\/(u\/(4*-1)). Let w be 1\/(-2)*(-12)\/17. Is r smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hooipio?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 245, 268, 297, 332, 373?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 1666 - 1666. Let h(z) be the second derivative of -z**3\/6 - z. What is h(c(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j + 544725. Let g be 5\/(250\/j) + -2. Let i = g - -2175. Calculate the common denominator of i and -27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiijceeeeieiciiii. Give prob of picking 1 c and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.02422944\nAnswer: -0.007268832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0) + -35 + 41 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - a - 32706 = 20495, 3*v = 3*a + 39912. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - -3)*1*-1. Let q(h) = -5*h**3 - 13*h**2 + 12*h + 8. Let g(f) = 14*f**3 + 38*f**2 - 35*f - 23. Let w(n) = o*q(n) - 6*g(n). Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q + 6. Let n(a) = -a**3 + 10*a**2 + 18*a - 153. Let z be n(10). Put z, 4, q in descending order.\nAnswer: z, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-660)\/18*6\/(-8)*8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-191 + 191 + 54*c)*(-2 - 6 + 1)*(2*c + c - 2*c) in the form s*c + h*c**2 + p and give h.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45917781 and 148319.\nAnswer: -45769462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 18*g**2 - 39*g - 30. Let y be s(-20). Let o = y - -131. Let v = 97 - o. Solve 6*p = 2*p + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -41, 12\/35, 5, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/20 - r**4\/12 - 4*r**3\/3 - r**2\/2 - 2*r. Let u = -68 + 72. Let q be c(u). Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.315 from -337571087656.\nAnswer: -337571087654.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l. Let j(i) = 57*i. Let n(g) = 2*j(g) + 7*z(g). Let k(h) = -h**2. Determine k(n(r)).\nAnswer: -361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*i - 33*i**2 + 23*i + 2 + 41*i in the form h*i + j + c*i**2 and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxryxrgyggugugxygr. What is prob of picking 1 g and 1 u?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b**2 - 210*b + 3600. Determine p(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:58 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 8) in base 11?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 40, 4.9, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5 - 6 - 24 + 23 + z + 1. Let l(i) = -i**2 + 5*i + 33. Give l(k) - 4*s(k).\nAnswer: -k**2 + k + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/2964864 and 119\/2541312.\nAnswer: 17789184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -210.74 + -1.468\nAnswer: -212.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 171114*q + 2738341. Determine z(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5462355 - 1?\nAnswer: 5462354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 11:39 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147925 (base 12) in base 16?\nAnswer: 5446d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83152123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuua when four letters picked without replacement from urarauuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-1 + 0) + 2 - -7. Suppose 2*i - 37 = -5*m, -g*m + 7*i + 30 = 2*i. Solve -m*l - 5 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 7*p - 4*p + p + 5*p as c + l*p and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 22*s**2 + 730*s + 750.\nAnswer: -2*(s - 15)*(s + 1)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*i - 8*n + 27, 5*i - 2*n = -5. Sort 2, i, 0, -3.\nAnswer: -3, 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001891428 to six decimal places.\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/19, -659 in descending order.\nAnswer: -1\/19, -2, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**29)**(-48))**(-29) assuming v is positive.\nAnswer: v**41760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 24, 3, -5, 29 in increasing order.\nAnswer: -21, -5, 3, 24, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4652 and 8.\nAnswer: 9304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:08 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 - 5*y**4 + 73*y**3 + 607*y - 4.\nAnswer: 40*y**3 - 60*y**2 + 438*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6691 is divided by 2230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/5 - 856*x + 1767558\/5 = 0.\nAnswer: 559, 1581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12*6*(-95)\/114?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:45 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v**2 + v. Let b be p(1). Let l = -17 - b. What is the units digit of 2\/l - 29\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.1 (b) 1 (c) 4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19879573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 - 1203*o**4 + 72366*o**3 + 74778*o**2 - 72369*o - 73575 = 0. What is o?\nAnswer: -1, 1, 75, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/75055681?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8849\/861 + -314\/41. What is the common denominator of o and -32\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 4*n = 38*q - 4, 16 = 4*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 11*l - 12. What are the prime factors of m(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30. Suppose -b = -4*x - o*b + 1140, 5*b = -x + 306. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**2*z**3 - 188*s**2*z**2 + s*z**3 + 15*s*z**2 + s wrt s.\nAnswer: 4*z**3 - 376*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 1, i: 1, u: 1}. What is prob of sequence pu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 < -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/39 - 3*(-74)\/78. Suppose -5*j + 4*y + 408 = -j, 408 = 4*j + r*y. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*i = -5, -36 = -4*u + 2*i - 0*i. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.5, 0.2, 4 in increasing order.\nAnswer: -2, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94008247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -40*x**4\/3 + 355*x**3\/3 - 185*x**2 - 1075*x\/3 - 125\/3 = 0.\nAnswer: -1, -1\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7792779?\nAnswer: 3, 59, 44027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 38*z - 522. Calculate h(2).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 + 165*l**2 - 191 - 208 + 222*l**2.\nAnswer: 387*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176282 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - (11 - 0)) - 20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 22\/17947 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -41900?\nAnswer: -41895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 235, 471, 707, 943, 1179?\n\"Answer: 236*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 15*r = 217, 0*r + 28 = -a - r - 3*r + 2*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 3. Let m be l(-6). Suppose -5*x = 5*n - m, x - 4*n - 16 = -2*x. Solve x = p + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 6 (c) 1 (d) 5 (e) -3 (f) -9.2 (g) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 130*i + 54. Let o(k) = 13*k**2 + 261*k - 99. Determine 11*a(c) + 6*o(c).\nAnswer: c**2 + 136*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + b = -3*b, 0 = -5*y - 5*b. Suppose 3*h - 5*c - 197 = y, -2*h - 2*c + c + 127 = 0. Let f = 29 + h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(-5713*i + 6*i**2 - 29 + 5718*i - 8*i**2).\nAnswer: 8*i**2 - 20*i + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - h = 0, -3*l = 3*h + 2*h + 12. Let p(s) = s - 14. Let g(x) = -x + 1. Give l*p(f) + 3*g(f).\nAnswer: -2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 49167616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, 0.1577, 3, -5, -0.087?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5150124 is divided by 2575050?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - 3 - ((-20904)\/(-216))\/(-67).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36990*i - 16960?\nAnswer: -36990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (57\/108)\/1 - (-6 - (-552)\/96)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3103*u + 3103*u - 7*u**2.\nAnswer: -7*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547887243 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 - r - 1. Let t(y) = -y - 8. Let q be t(-4). Let x be (26\/(-3))\/(q\/(-6)). Let b = 10 + x. Give k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzlppjzplzpjll. What is prob of picking 1 l and 1 p?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/315 + 2\/45. Let w = 20.74 - 21. Let o = w - -0.06. Put o, h, 4 in descending order.\nAnswer: 4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -133599527 + 50784255. Suppose -o = v + 4348091. What is v rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11111110?\nAnswer: 11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - (-1 - 3). Suppose -p*r = -r - 42. Suppose -3*o = -2*o - t - r, 1 = -t. What is the remainder when 38 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*o + 37*a**3 + 10*a**2*o + 2745*a**2 - 16*a*o - 2*a - 11*o + 28990 wrt a?\nAnswer: 12*a*o + 222*a + 20*o + 5490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*r - 79 = -60, -r = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 e when four letters picked without replacement from zzezzeeezzze.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.34298 rounded to 1 decimal place?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*t + 4, -49 - 7 = 4*x + 5*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 630?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21728, 21725, 21714, 21695?\nAnswer: 21668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2441\/30 + -457\/6. What is the common denominator of s and -59\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470092 and 1648.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/15))**3)**(-49) assuming r is positive.\nAnswer: r**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.62 - 39.48. Let r = n + 32.1. What is the smallest value in r, 0.4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383070\/36 + (-95)\/114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 2. Let w(n) = 58*n - 17. Let x(b) = 51*h(b) + 6*w(b). Let f(o) = -25*o. What is x(f(q))?\nAnswer: 225*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199415440*y**3 + 204717684*y.\nAnswer: -1196492640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0958 + -0.4958. Let w = -3.28 + 0.28. Put w, 4, d, -1\/5 in descending order.\nAnswer: 4, -1\/5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 - (0 - 2 - 2) - (-101 + 30 - -74)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3525 - 3524.984615. Round s to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o = 82*o + 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4436345633?\nAnswer: 4436345633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + z**3 + 1 - 2*z**3 to the form o*z + n + p*z**3 + l*z**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tllllttlnnttlttnll. What is prob of picking 2 l?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p + p**2 + 3 - 5 - p + 6. Let n be f(3). Suppose 8*q = 10*q - n. Solve -2*t = 3*t + q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22021 - 1002?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147276.\nAnswer: 2, 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k. Let u(s) = 25*s**2 - 25*s**2 - 2*s - 14*s**2 - 23*s**2 + s. Give z(u(p)).\nAnswer: -111*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a decade in months?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/201 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h**3 + 4*h**2 + 4*h + 3. Let q be s(-2). Suppose 8*o = -27 + q. Let z(w) = w**2 - 13*w - 7. What is the remainder when z(o) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4243, -17123, -38649, -68821, -107639?\nAnswer: -155103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m + 1. Let o be j(6). Suppose -2*q + o*q = 60. Suppose -4*p = -q, g = -4*g + 3*p + 101. What is the smallest common multiple of 14 and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/2 of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 3*m**2 + 3*m**3)*(-2*m + 2*m - 3*m**2) + (3*m**5 + 0*m + 0*m)*(78 + 50 - 96) + 0*m**5 - m**5 + 0*m**5 - 2*m**5 + 0*m**5 + 0*m**5.\nAnswer: 84*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from onwenwwbbooo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -4419?\nAnswer: -119313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from ssssususs?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886812\/3 equal to 1628937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*h - 0*s - 2*s, 0 = h - s - 3. Suppose -9*z = -12*z + 12. Let c(v) = z*v**3 - 4*v - 3*v**2 - 8 - 3*v**3 - 2*v**2. Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*4\/48*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0 = 3*u + 15, c + 4*u + 20 = 0. Suppose c = -7*j + 8*j - 77. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*q - 25*q - 2*q**2 + 12*q)*(2*q**2 - 2 + 2) to k*q**2 + t*q**4 + r + c*q + p*q**3 and give p.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -971, -1940, -2909, -3878, -4847, -5816?\nAnswer: -6785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7*u = -112959. Suppose -u = -10*b + b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0407843 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 3. Suppose -5*r + 3*r = -5*b, -3*r + 15 = 0. Let z be 6\/(-1 - b) - -3. Let y be ((-2)\/6)\/(z\/(-12)). What is i(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(2\/25)\/h)*h*h**(-4\/13)*h assuming h is positive.\nAnswer: h**(1174\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9391 (base 11) to base 9.\nAnswer: 18054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Suppose 0*q + 12 = v*q. Factor 2*f**q + 0*f**2 + 2*f**5 + 3*f**2 - 3*f**2 - 2*f**3 - 2*f**2.\nAnswer: 2*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11181*m - 18 = 11183*m, 3*m + 27 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 6*z + 2*z + 1 + z - 1 + (-1 - 2 + 1)*(-4*z + 6 - 6))*(4*z**2 + z**2 - 2*z**2) + (-z**3 - z**3 + 0*z**3)*(-1 - 1 + 3).\nAnswer: 43*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/179 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32109733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 479\/(250038\/4872)*(-1)\/((-7)\/(-90))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 28*z**2. Let q be c(1). Let f be (-4)\/(-14) + 328\/q. Let y be -2*3\/(f\/2). Sort y, -2\/3, 0.3.\nAnswer: y, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13874 - -13870. What is the nearest to 4 in -3, 26, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483*q - 27603 + 13293 = 25731 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5471001.\nAnswer: 3, 607889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l - 3. Let s be p(-6). Suppose 17*g = 12*g - 5*f + 15, 2*g - 6 = -4*f. What is the tens digit of (s + -9)\/(g\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -0.2 (c) 2\/17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 15*y**2 + 33*y + 22. What is the remainder when (16\/6)\/(1\/3) is divided by g(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c + 120. Let b be l(0). Let j = -44 + b. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7280 is divided by 598?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 11:40 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63084, 63121, 63198, 63327, 63520?\n\"Answer: 2*b**3 + 8*b**2 - b + 63075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -8. Let r = 1 - b. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t**2 - 4 + 4)*(10 + 6 + t**2 - 20).\nAnswer: -2*t**4 + t**3 + 8*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + -27)\/(-168) + -1 + 10\/4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(8\/89) - (-26)\/(-208). Solve a = r - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z - 2. Calculate the remainder when ((-9)\/(-6))\/(-3) + 252\/24 is divided by -2*(5\/z + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100080 and 22?\nAnswer: 1100880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 5*m**3\/6 - 2*m**2 - 8*m. Calculate the remainder when 2\/(-4)*-4 + 29 is divided by l(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44101471207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 6*c. Calculate u(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7613, -6526, -5439?\nAnswer: -4352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6330*w**4 + 2*w**3 + 567*w - 4?\nAnswer: -75960*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 5. Let i(q) = 5*q**2 - q - 14. Let y(r) = 8*f(r) - 3*i(r). Let d be y(-6). Let j be 16 + (-12 - 0)\/(-4). Is j != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 + 200\/(-450).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 420, 6, 3 in descending order.\nAnswer: 420, 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aucucxxuctakaxaku. Give prob of sequence uxtc.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert e1 (base 15) to base 2.\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 371*m + 208*m - 40 + 243*m)*(0*m**3 + m**3 - 4*m**3).\nAnswer: -240*m**4 + 219*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -7.119?\nAnswer: 142.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14368 and 234827.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 46. Let l(o) = 19*o - 93. Let b(d) = -6*l(d) + 13*x(d). Let h be b(15). Let t(j) = -h + 11 + j**2 + 5*j + 3*j. Determine t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76518 and 143237772.\nAnswer: 5586273108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 3 = 7*c. Let i = 0 + 4. What is the biggest value in 0.4, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -18, -58, -134, -258, -442?\n\"Answer: -2*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -140. Suppose -3*z - g - b = -5*z, 3*z - 9 = 2*g. Let m be (z + -9)\/((-27)\/9). Let f(s) = 8*s. Calculate f(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1972*p**3 + 174*p**2 + 2784*p. Let q(u) = u**2 + 16*u. Determine m(n) - 174*q(n).\nAnswer: 1972*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**5\/25 + 13*x**4\/2 + 845*x**3\/3 + 247. Suppose k(f) = 0. What is f?\nAnswer: -65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(12\/16). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58525.3 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-36)*3\/(-15)*4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*s = -3*s + 28, -4 = l - 2*s. Suppose 5*t + l*x - 445 = 0, -5*t + 275 = -2*x - 170. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5882.83 - 5913. Let u = -30 - g. Let f = -0.13 - u. Put f, -0.5, 5 in decreasing order.\nAnswer: 5, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -4583 (c) -0.5 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003713 rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 102\/((30\/8)\/(-5)). Let u = -123 - r. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c + 21. Let b = -18 - c. Determine i, given that -4*i**3 + b*i**4 - 4 + 4 + 9*i**4 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/20 and 22\/(-24) + (3 - 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14232268 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6*u**3\/7 + 1452*u**2\/7 - 27600*u\/7 + 124800\/7 = 0.\nAnswer: -260, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77141\/18 - 4284. Find the common denominator of -3\/596 and j.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678544 by 47.\nAnswer: -678544\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-18))\/(1\/3). What is the second derivative of -7*t + t**3 + t**2 - t**o - 3*t**3 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111102201102 (base 3) to base 9.\nAnswer: -442642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*w + 0 + 4 = 0, 4*d = 3*w - 6. Suppose d = f - 4*f. Solve t - 3*t = f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 - 1948*y\/5 + 156 = 0. What is y?\nAnswer: -390, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-415584)\/(-240))\/(-74))\/(3\/(-10)*-1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 576.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -327079*n + 327109*n - 60. Let 2\/21*s**n + 8\/21 + 10\/21*s = 0. What is s?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -240*u - 38. Let r be x(-3). Suppose 4*t = 2*t - 4*o + r, 0 = 5*t - 2*o - 1693. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 11, p: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -2.07. Let q = y - -3. Let u be (2\/(-3))\/((-2)\/5). What is the biggest value in u, q, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*m - 0*m + 648, -4*v + 648 = 5*m. Solve 157*s + 25 = v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1345353.\nAnswer: -1\/448451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51835750.\nAnswer: 2, 5, 207343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8363111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-16)\/(-6))\/((-2)\/(-39))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0230889715 to 4 dps.\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((20 - 10) + -14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9864*s - 4233*s - 5633*s + 48.\nAnswer: -2*s + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 + 2 + (4 - -6). Is c > 66\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.6 to the nearest integer.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*z + 0 + 2 + z**4 + 175*z - 2*z**3 + 2*z**2 to d*z**3 + u*z**4 + o*z**2 + w*z + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 2. Let y be k(-1). Let i(h) = -18*h + 1. Give i(y).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349 (base 13) to base 10.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10875553 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2828 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -147.8+-442261826.9\nAnswer: -442261974.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37181 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = 3*k - 22*i - 9245, 15412 = 5*k - 2*i. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070302825 to six dps.\nAnswer: -0.000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 2. Let t be k(5). Let g(a) = 2*a**3 + a**2 + 5*a. Let l(d) = 3*d**3 + 2*d**2 + 10*d - 1. Let o(w) = 5*g(w) - 3*l(w). What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16592827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (-2 - -5) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/11)*h\/(h\/h**22)*(h\/(h**(-9)*h)*h)**(-3\/10) assuming h is positive.\nAnswer: h**(215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -556 + 555.541. Let n = -0.47 - g. What is n rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234 - -239. Solve -v = f, -q + 6 = 4*f + 26 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/3, -0.4, 0.3, -0.2 in descending order.\nAnswer: 47\/3, 0.3, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 4 - 4*h - 2 - 5. Let q be c(-5). Suppose -4*y - 16 = q. Sort y, -4, 1 in decreasing order.\nAnswer: 1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.09 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28786d4 + -13?\nAnswer: -2878707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 + -198.6535.\nAnswer: -229.6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70102513 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -332113003 (base 4) to base 2\nAnswer: -111110010111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 2. Suppose b*p + 3*r - 15 = 0, 6*r = 2*p + r + 25. Suppose p = 4*s - 64 - 100. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(3\/(-6)*1). What is the units digit of -4 + (-1)\/((1\/(-137))\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*75\/18*(-3)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (27 - -5) - (1299 + -1240)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n - 75 = 0. Suppose -4*l = 3*m - 27, -7*m + 45 = -2*m + 3*l. Let g = n + m. Let k(p) = 2*p + 1. Let d(u) = 6*u + 3. Determine g*d(t) + 17*k(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 60843.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/72 and 15\/85053896.\nAnswer: 765485064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(28\/(-12) + (-101728)\/(-12342)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/49? (a) 3 (b) -2\/3 (c) 106\/7 (d) 0.1 (e) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 3) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*429\/(-165)*15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfvvmmffmcvcnnn. What is prob of picking 1 v and 2 m?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 + 5 = -4*a, -a = -3. Let v = u - -27. Suppose 4*z - v = z. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-10 - (0 + -14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -y - 3*l, 4*y + 5*l = -45. Let q(o) = o**3 + 4*o**2 + 4*o + 3. Let a be q(-2). Put -3, a, y in decreasing order.\nAnswer: a, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k. Let y(m) = -13700*m**2. What is u(y(z))?\nAnswer: -109600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(76) - sqrt(76)))\/sqrt(4).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -39. Solve -2*c - x = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 763, 184 in decreasing order.\nAnswer: 763, 185, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc1 + 156a0?\nAnswer: 148ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -14 - 36. Suppose 3*n = n + i + d, -5*n + 14 = 3*i. Let t be n + (0 - -1) + 265. What is t rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*p - 125479, 28*m - 30*m - 25107 = -p. What are the prime factors of p?\nAnswer: 11, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 6. Let v(a) = 3 - 8*a - 17*a + 2 + 26*a. Let s(q) = -5*r(q) + 6*v(q). Let g(d) = -13*d**2. Give s(g(b)).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -2, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 95*b**2. Let f(q) = -17*q**2 - 6*q - 1. What is f(w(l))?\nAnswer: -153425*l**4 - 570*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/9 (b) 0.5 (c) -0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -651 + 458. Let l = k - -361. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 40*t - 3017. Give d(75).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201524797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(54\/(-2055))*39\/2340 and -89\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -4*r, -3*c = -r - r + 5. Suppose -60 = z - r*z. Suppose -z = -3*a - a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 55*a - 2500 = -139*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307987.\nAnswer: 23, 29, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 8*l - 13. Let f be h(11). Suppose -5*j - v + f = 0, 4 - 49 = -4*j + 5*v. Solve -j*t = 4 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)**42)**(-2\/59)\/((n**(-2)\/n)**(-1\/31)\/(n**(-1\/4)\/((n*n\/(n\/(n**(5\/6)*n)*n)*n)\/n))) assuming n is positive.\nAnswer: n**(-811\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 590 = -5*b - 332, 3*n = -5*b + 674. Differentiate -234 - l**2 + n + 0*l - 9*l**2 + 2*l wrt l.\nAnswer: -20*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59145 + -29356. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:31 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/5, 15, -3, -337?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 84\/16*(-24)\/(-9). Let t = -1 + b. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6054\/49 - -36569\/294. Let n = 0.7 + 2.3. Which is the third smallest value? (a) -1 (b) n (c) o (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*v**2 + 53*v**3 + 64*v**2.\nAnswer: 53*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54, -1, 3\/13, -46, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196697\/35 + -5620. Which is the biggest value? (a) -2\/17 (b) f (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(6 - (-2 - (-805)\/98)). What is the highest common factor of s and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2958573, -11834112, -26626677, -47336268, -73962885, -106506528?\n\"Answer: -2958513*l**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tpttttpppptpp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 15*v + 3. Let b be s(0). Solve b*j - 14 = r, -3*j + 5*r = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -333005*d. Let j(f) = f + 59. Calculate p(j(v)).\nAnswer: -333005*v - 19647295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/2532264 or -1?\nAnswer: -5\/2532264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65016, -130034, -195052, -260070, -325088?\nAnswer: -390106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/146976 and 137\/17760.\nAnswer: 27190560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1080\/63)\/(4\/14). Solve 10*c = z*c - 50 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - 39. Let z = -79 - f. Suppose 0 = -3*b - h + 6 - 0, -5*h = -b - 14. Calculate the smallest common multiple of z and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 16*p - 28. Give m(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22792 and 0.051.\nAnswer: 22792.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - h + 6 = 3*j, j - 2*h = -8. Let m(n) = 7*n**3 - 5*n**2 - 5*n - 10. Let a(i) = 6*i**3 - 4*i**2 - 4*i - 9. Give j*m(p) + 5*a(p).\nAnswer: 2*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((28\/(-24))\/(-7))\/((-1)\/(-4)). Which is the closest to 2\/5? (a) 0 (b) 15 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118 - 36*q**2 - q + 246 - 125 + 9*q**2 in the form j*q**2 + p + h*q and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*i + 14, 15 = -a + 4*i. Suppose 2*n = -z + 196, -3*n + 975 = a*z + 9. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 15*p**2 + 14*p + 20. Let k be r(-14). Suppose 5*f = -2*m - k - 20, 3*m = 0. Let j = f - -21. Solve 3*h + j = -2*q, h + h = q - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*d + 8 = 0, -d - 12 = 2*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 + 32*i + 203. Let h(q) = 2*q**2 + q + 2. Let z(b) = -g(b) - 4*h(b). What is the remainder when z(-9) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -4) + (13 - (24 + -7 + 10))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10849 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3980275 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**2 - 44*d - 10. Let j be m(-6). What is the tens digit of -45*(-40 + 5 + j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 14*i**3 + 3*i - 8*i**3 + (4 - 4 - 2)*(-4*i - 2*i**3 + 4*i)*(-1 + 6 - 2).\nAnswer: 18*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 55. Suppose -5*h + 11 = 5*y - 119, 4*h - r = 0. What is the greatest common divisor of y and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054346 rounded to three dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 17*l**2 + 2*l + 66. Let o be p(9). Suppose -10 = -5*q - 5. Solve q = -y + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 43717*d + 481008.\nAnswer: -(d - 43728)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11626796 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 690 + 831 = 0. Let j = m - 1073\/2. What is the common denominator of 3\/15*1515\/(-36) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 1 - 1. Let n(g) = 6*g**2. Suppose -11*q + 16 = -7*q. Suppose -7 = -q*r + 5*r. Give r*x(f) + 3*n(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1249*w + 686*w + 648*w - w - 4*w + 3*w + (6 - 4 - 1)*(w - 4*w + 2*w) + (4*w - 3*w - 3*w)*(-1 + 0 + 2) in the form u*w + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -730212*c**2 + 183 + 675*c + 1147 + 730217*c**2 = 0.\nAnswer: -133, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 1\/4 (c) 1\/18 (d) 7 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9*r - 96 = 0. What is the remainder when 37 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 4675?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyyffktwkty. Give prob of sequence fkke.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 21*r + 26. Let g be j(-20). Let p be ((-10)\/(11 - g))\/(3\/(-2)). Factor -27*k**2 + 12*k - p.\nAnswer: -(9*k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1412 + 1586. Suppose 3*c - 27 = 2*a, -2*c + a + 23 = -2*a. Calculate the remainder when p is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/4 + (-23 + 69 + -24 - 14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 55. Let m be ((-1)\/(-1))\/(4 - 3). Let i(k) = -k**2 + 3*k + 1. Let d be i(3). What is the nearest to m in -1, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:07 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = -15*h - 22*h + 700 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let a(j) = 38*j**2 + 4*j. Determine a(y(k)).\nAnswer: 152*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/i**(-8\/9)*i**(-6)\/(i\/(i\/(((i**(2\/45)*i)\/i*i)\/i))) assuming i is positive.\nAnswer: i**(-547\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329\/(-3 - -4) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 101. Calculate the highest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {v: 3, j: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4464 by 6.\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4291?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13071269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 312*f - 2549. Give s(6).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-3)\/9*2\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2 - 1 - 5*m + 11*m - 9*m. Let g be 2 + 0 - -4 - -1. Let y(z) = -3*z + 2*z - 4*z - 1 + 4*z. Calculate g*y(n) - 3*t(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 179650207 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21a7b7 - -2?\nAnswer: -21a7b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23262 + 15942 = 9*d. Suppose 0 = 12*u + d + 16764. Round u to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1179 - -1244. Do p and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 35*m - 19 = -34*m, -2*z + m + 12 = 0. Let d = 0.32 + -0.12. Let c = -1 + 1. What is the third smallest value in z, c, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 25994816.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u. Suppose u = 9*s + 6*s - 1020. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -17. What is the highest common divisor of t and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, z: 4, x: 7}. What is prob of picking 2 x and 2 z?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2378 and 23\/70.\nAnswer: 83230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Suppose 0 = r*z + 5*t - 15, -3*z - t = 9 - 36. Let i be (12\/(-15))\/(1\/(-5)). Solve z = -4*l + n, -4*n + 8 - 28 = i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434 - -1214?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 25 = 4*x, -2*y = 4*x + 12. Suppose -y*h + 2*b = 3 - 19, -4*h = 5*b - 30. Solve -h*r - 4*t = 15, 0 = -4*r - t - 1 - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 644*c + 649*c + c**2 - 1293*c + 6*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/18 + (-26)\/(-36). Is b equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - w - 6 = 13, -5*f + 15 = -5*w. Suppose -2*s + s = -f. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43026 (base 13) to base 15\nAnswer: 25c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008358 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 13) to base 15\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21207533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -13, 528, -3, 4, -6 in descending order.\nAnswer: 528, 17, 4, 3, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3022155 divided by 3585\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 3. Suppose 13*l - 17*l = 236. Let j = l + 84. Solve w = 5*z + 6*w - j, -z + 10 = g*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19408158 divided by -13266\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8*d - 88 = 0. What is the highest common divisor of d and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = -5, -4*m - a + 60 = 0. Suppose 0 = f - 27 + 5. What is the least common multiple of f and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/(-12)*(-4050)\/8505?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29*v - 202. Determine c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 33*z + 164. Suppose 4*v - 56 - 48 = 0. Does 13 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*t - 100 = -80*t - 255 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*c + 28 = 0, -2*q = -c + 1 - 43. Let l be 6 + -2 - q*7\/28. Let m(s) = 3*s**2 + 2*s. Calculate m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -16, -3, 16?\n\"Answer: 3*r**2 - 2*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6377931800.\nAnswer: 2, 5, 31889659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/12 - (-4)\/6. Let w be 2 + q - 9\/6. What is the nearest to w in -2\/11, -3, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 886, 1784, 2682, 3580?\n\"Answer: 898*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277363 is divided by 242?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.5558m to micrometers.\nAnswer: 609555800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9051*k + 9726 = -4430*k - 4485*k + 478 for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3349250 and 2500?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2331540 divided by 5.\nAnswer: -466308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1008))**2 + sqrt(1008) + -5.\nAnswer: -12*sqrt(7) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167463 is divided by 235?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(14*(-10)\/(-280))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75024 and 57552.\nAnswer: 89953776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (22275\/(-175))\/33.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zllf when four letters picked without replacement from {z: 1, y: 1, p: 3, f: 1, l: 11, t: 2}?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3\/7 (b) 0.06 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + sqrt(3) + 1 - (sqrt(9)\/sqrt(3) + 4)) - ((sqrt(243) + 2 + -3 - sqrt(243)) + 2))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209.1 + 209. Which is the nearest to 2? (a) -2 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 253*r**2 - 9 + 4*r + 2 + 5 to g*r**2 + p + j*r and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347266 (base 10) to base 2.\nAnswer: 1010100110010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896059 is divided by 160892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 13*b**2 + 13*b + 16. What are the prime factors of n(13)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 3*q**2 + q - 1. Suppose 3*o = j + 1, -4*j + 25 = j. Let a be y(o). Let k(h) = 4 + 0 - 2*h + 0*h. Determine k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.91 - 10. Let o = -60 + 57. Sort v, o, 4 in descending order.\nAnswer: 4, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 200*f - 2\/3*f**4 + 4\/3*f**3 + 190\/3*f**2 + 0 = 0. What is f?\nAnswer: -5, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 769 = -3*c, -5*c + 1301 = 3*r - 0*r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 45 = 5*w. Suppose 5*q = 9 + w. Suppose q*s = 65 + 30. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144842642 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 526 - (-6)\/(8 - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1683388, -0.5 in decreasing order.\nAnswer: 1683388, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0436 - -0.0064. Let t = k - 0.06. What is the third smallest value in 0.3, 2\/11, -0.1, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-4) + (-2)\/8. Let v = 7.128 - 7.528. Which is the closest to 2\/13? (a) t (b) -2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let y = 8 - w. Factor -5*j**y + 2*j**3 - 5*j**2 + 6*j**2.\nAnswer: 2*j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let q be (-2)\/(-11) + 86\/11. Suppose -a = -3*a + q. Solve 0*j = -o*j + a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*s - 400*s + 123788 = -198*s. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1929 = 5*n + 3*l, -396 = n - 0*n + 4*l. Let b = -171 - n. Suppose 0 = y + u - b, 0 = u - 7 + 2. Calculate the lowest common multiple of 12 and y.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10999 + 5501 + 5498 + 245711*j**3.\nAnswer: 245711*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674630851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 - 3.3. What is the nearest to z in 5, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6207 + 6209. Let v = -2.7 + 10.7. Which is the second biggest value? (a) p (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247205 (base 11) in base 6?\nAnswer: -12210342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336*(-254)\/24384*(-12)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344985 and 4763325.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1074*k - 70669. Calculate f(-67).\nAnswer: 1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/606 and -41\/521129902?\nAnswer: 1563389706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o + 95*o - 966. Solve 3*r + o = 3*d - 13, -3*r - 37 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 52?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9852 - 9852.2. Which is the closest to i? (a) 3\/4 (b) 0.06 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -267\/73, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 5*l**2 + 7*l - 2. Let c be j(-5). Let u = 153 - c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3392 = 920*w + 962*w + 976*w - 2911*w for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43574 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157391 - -157501. Let n(d) = 13*d**2 - d. Let v be n(2). What is the highest common factor of z and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g + 16 = 0. Suppose g*k = k. Is (10\/1)\/(1 + k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let v be (-1 - -3)*t\/4. Suppose 0 = -3*x + 7 - v. What is the smallest common multiple of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 27 + 31. Let f(z) = 23*z + p - z**3 - z - 10*z - 5*z**2 - 5*z. Let w = -2 + -4. Determine f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-14) - 4\/(-14). What is the second derivative of 98*r**4 - 98*r**4 - 2*r**h + r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1191 divide 484583504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 780470, 780477, 780492, 780515, 780546, 780585, 780632?\n\"Answer: 4*q**2 - 5*q + 780471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 152843*v**2 - 152846*v**2 - 5*v.\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-140) - (-1)\/(-4). Let v = -0.53 + 0.03. What is the nearest to n in -2, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331230112221 - -3?\nAnswer: 331230112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.28 and 1.9632052.\nAnswer: 2.2432052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 8, o: 7, g: 2, q: 3}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9678027 and 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/5 + 589097*j**4 + 5890967*j**3\/5 + 2945483*j**2\/5 = 0. What is j?\nAnswer: -2945483, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 33 = 3*n. Let a = n + 19. Let c(t) = 5*t**2 + 2*t + 1. What is c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 454642 or 454758?\nAnswer: 454758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29\/3 - 8\/12. Let k = c - -3. List the prime factors of ((-8)\/k)\/((-3)\/27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.6856 millilitres in litres?\nAnswer: 0.4526856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2391?\nAnswer: -11955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9080069.12399898 + 9080069. Let u = -4.824 - -4.7. Let f = m - u. Round f to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 0. Suppose 5*u = 5*w + 5, z = -u + 2*u + 4*w. Suppose l + 0 = 5*b - 4, -4*b + 34 = u*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -450*p - 2\/3*p**3 - 30*p**2 - 48. What is m in z(m) = 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -120. Calculate the remainder when 19 is divided by (-1)\/3 + p\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + (2 - (-3 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*a + 30031 - 2*a**3 - 30031 + a**2)*(28 + 105 - 33).\nAnswer: -200*a**3 + 100*a**2 + 4500*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -7. Let g = 13 + d. Sort 2\/5, g, -0.5 in decreasing order.\nAnswer: g, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + 17. Calculate the remainder when r is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 + 7*l - l + l - 2. Let m(f) = -1. Let j(o) = 2*m(o) + y(o). Let q(z) = 1. Calculate -j(h) - 3*q(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -95\/188, -1\/3, -3?\nAnswer: -95\/188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = 13311*l - 6660*l - 6653*l, 0 = -4*p - 2*l - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -148*q + 3 + 0 + 143*q - q**2. Give s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2\/4 + 30069*d\/4 - 218631 = 0.\nAnswer: -10052, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l + 16122. Let a(p) = -7*p - 8060. Determine -5*a(f) - 3*i(f).\nAnswer: -f - 8066","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/2340*15 + (336\/54 - 6)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00565380583 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/105*10\/(-13))\/(-2). Let p = r + 173\/429. Let f(w) = -2*w + 8. Let q be f(4). Is q at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 27*z - 19. Calculate a(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -335*j**3 - 19096*j**2 - 56*j + 53. What is o(-57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17371 + -407. List the prime factors of z.\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 165*a - 84*a - 81*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8143 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -9 - (-1 + 0)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -538*q - 4*q**4 + 300*q + 842 + 203*q wrt q.\nAnswer: -16*q**3 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*n = -279*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2, -63, 0, 2\/7 in ascending order.\nAnswer: -63, -2, 0, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-4 + (10 - 0 - (-24 + 37))) - 3.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/33)\/v*v)\/(v\/(v*v\/(v*v\/(((v\/v**(2\/23)*v)\/v)\/v)*v*v))) assuming v is positive.\nAnswer: v**(-1538\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848\/2376*18\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 2, o: 1, q: 4, g: 3}. What is prob of picking 2 q and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 52*d - 220. Let q be j(58). Put -2, q, -18 in decreasing order.\nAnswer: q, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3 + 0\/4. Differentiate 409*b**3 - 34*b**4 + 22 - 409*b**o wrt b.\nAnswer: -136*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (24 - 18 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d + 17. Let c(q) = -5*q + 18. Calculate -2*c(j) + 3*v(j).\nAnswer: -41*j + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(60\/(-32))*(945\/60 + -17). Let v(m) = -153*m**3 - 17*m**2 - 17. Let a(d) = -19*d**3 - 2*d**2 - 2. Calculate b*v(h) - 17*a(h).\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49261642 - 25261642. What is p rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13830 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55, 113, 173, 235, 299?\n\"Answer: w**2 + 55*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 1.8. Let h = a + -1.99. Let s = h + 1.17. Round s to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2407 + -0.0407. What is the second biggest value in -0.31, -5, o?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.11, -231\/10, 4\/7, -1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-66)\/9)\/((-4)\/30). Suppose -86*n + 32*n = 162. Let m be -3 - w\/(-45) - (n - -1). Is m at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 + 2621401?\nAnswer: 2621244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13039979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 32*o. Let g(q) = -37151*q. Calculate l(g(h)).\nAnswer: 1380196801*h**2 + 1188832*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -126\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -64*c + 20. Suppose 2*q + 5 = 1. List the prime factors of v(q).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6642629, 6642631, 6642633, 6642635, 6642637?\n\"Answer: 2*y + 6642627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -2*q, 2 = -3*q + 2*u - 2. Suppose m - 12 = 6*w - q*w, 3*m - 2*w = 16. Suppose 5*a - 8 - 4 = -3*j, -16 = m*a - 4*j. Solve a = b + b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1, 2\/7, -1002, -2\/5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r*r**(8\/3)\/r*r*r)\/(r*((r**(-4\/9)*r)\/r)\/r*r)*(r\/r**8*r)**(-41) assuming r is positive.\nAnswer: r**(2278\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2056265 (base 7) to base 3.\nAnswer: 110200020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14346 + 14353. Solve 852 = -z*d + 901 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r + 2. Suppose -3*l = -7*l + 204. Let y = l + -55. Let p(x) = x**2 + 9*x + 22. Let c be p(y). Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*f**2 - 189*f**2 + 570*f**2 - 186*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*z**3 - 2*z**2 - 104*z?\nAnswer: -156*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -50902?\nAnswer: 50901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2773256, 2773229, 2773192, 2773139, 2773064, 2772961?\n\"Answer: -g**3 + g**2 - 23*g + 2773279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16087212.\nAnswer: 2, 3, 23, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((609\/(-7))\/(-3))\/(4*3\/(-6)).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 - 167. What is the remainder when 137 is divided by (-4 + 8)*l\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4100039 plus -0.5?\nAnswer: 5.9100039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275) + -2 + sqrt(275)*2 + 1)*-4)**2 + ((0 + sqrt(1100) - sqrt(1100))*1 + 0 + 5)**2.\nAnswer: 39625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 11*s + 18. Is p(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 2*u - 347 + 347.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434462 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193 + 405. Let b = -210 + r. What is the smallest value in -0.5, 100, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.719332 and 1.\nAnswer: 0.280668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(2 + sqrt(125) + 0) - 4*(-2 + (sqrt(125) - (4 + sqrt(125)))))*1)**2.\nAnswer: -5500*sqrt(5) + 15225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15094437 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccwaucwacqsccaqcaqs. What is prob of sequence qau?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -1) + 10\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -113, -2, -0.2, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 8 + 4, -3*y = -u - 9. Suppose 2*g + x = 5*x - 10, -u*g = -3*x. What is the second derivative of 23*n**5 + 25*n**g + 16*n - 17*n**5 wrt n?\nAnswer: 620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2186*v**5 - 3024*v?\nAnswer: -43720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0534 - 2.0534. Let a = -0.1 + -0.9. What is the closest to a in 4, c, 5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -3649, 3, 0, 1\/11 in decreasing order.\nAnswer: 3, 1\/11, 0, -0.04, -3649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11*f = -2088. Let u = f + 250. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 41. List the prime factors of (f - ((-39)\/15 + -1))*-40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0 (c) -115\/4403 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-792)\/48)\/((-12)\/12*3\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2203.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from rzrrrrzuie?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2, -8, -1\/7, -408, -0.4, -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 741, 38, 269.\nAnswer: 38, 269, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - j)*(2*j + 3*j - j + (-3 + 3 - 3*j)*(0 - 2 + 4)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*l - 24, -6*l = -2*l + 3*b - 22. Suppose 2*s + 3*x - 84 = 0, 2*x = s + l*x - 56. Calculate the greatest common factor of 204 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.4 times -0.08?\nAnswer: -49.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1449763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 60*n**3 + 12*n**3 - 31*n**3.\nAnswer: -73*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 43680.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -4, 3, 4, 53, 6.\nAnswer: -4, 3, 4, 6, 53, 287","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2\/3)\/r))**(-50))**(-1\/5)\/((r**(-2\/7))**(-41)\/(r**(1\/4))**(-3\/10)) assuming r is positive.\nAnswer: r**(4097\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295157277, -295157276, -295157275, -295157274?\nAnswer: -295157273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 9*q - 9. Let m(z) = z**2 - z + 1. What is -2*k(h) - 18*m(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 309402787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -20*t**2 + 2415*t + 116731. Determine q(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17*c - 11 = 18*c, 2*k = -5*c - 3. Is k less than or equal to -244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17632*f - 25 = -17591*f - 722 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 73*a + 38. Let s(q) = -24*q - 13. Determine 17*s(u) + 6*x(u).\nAnswer: 30*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 + 2*i - 12*i - 2 + 0. Let s be a(-3). Let m be (-10)\/(-5) + 1*s. What is the greatest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/((-8)\/(-16)). Let y be v + 17 - (2 + 1). Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + (sqrt(500)*2)**2)*1 + -5*sqrt(500)*2 + sqrt(500)*2*2.\nAnswer: -60*sqrt(5) + 2007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (-22)\/(-1) + -4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 1. Let k(b) = 15*b + 1. Let g be (2\/7)\/(159\/(-1113)). Give g*y(o) - k(o).\nAnswer: -13*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -139*x + 142*x + 5*d - 18, -4*d + 24 = 12*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 56010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54515 (base 6) to base 8\nAnswer: 16557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 6, w: 1, l: 2, k: 2}. Give prob of picking 3 c and 1 w.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906500 by -1295.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 244266767115.\nAnswer: 244266767108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3249471 to the power of 1\/2, to the nearest integer?\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1352, 2432, 3652, 5012, 6512, 8152, 9932?\nAnswer: 11852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ee523 (base 16) to base 5.\nAnswer: 222214123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*x = -907*x + 104792 + 52804 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 287, 487, 697, 923, 1171?\n\"Answer: t**3 - t**2 + 196*t + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9 - 1\/9*q**3 - 4\/9*q**2 - 5\/9*q.\nAnswer: -(q + 1)**2*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18996 (base 12) to base 6\nAnswer: 434310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = -6*y. Suppose -7*m + y*m + 140 = 0. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 78\/43645 and -31\/62350.\nAnswer: 436450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b)**(-9))**(-7\/6)*(b*b\/b**8*b**1*b)\/(b**(-1)\/(b\/(b**0*b)*b)) assuming b is positive.\nAnswer: b**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-5))\/((-2)\/(-20)). Let f(b) = b**3 - 5*b**2 + 2. What is the tens digit of f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102592 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/45 - ((-372)\/60 - -4). Solve -14*u = -q + 86 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/2 - 655*n**3 - 4455*n**2 - 7164. What is the second derivative of u(i) wrt i?\nAnswer: 12*i - 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 + 28*o**2 - 13*o - 3*o + 1 + 3*o.\nAnswer: (4*o - 3)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - 1. Let o = w - -34. Let p = o - 9. What is the biggest value in -2\/3, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -729*p*s**2 + 17000*p*s*w - 61*p - 3*s**2*w**4 wrt w?\nAnswer: 17000*p*s - 12*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*q - 2228 = 0, -4*g + 2*q = 2618 - 7072. Suppose 5*a - 1347 - g = 0. What are the prime factors of a?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6556 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (-494)\/95?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/4, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001038399 rounded to seven dps?\nAnswer: 0.0001038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 4 + 4*b**3 + 14*b + b**4 + 3 in the form d*b**3 + m*b**2 + n + o*b + h*b**4 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (17 + -8)*(-3)\/9. Let n = -3 - -2. Which is the closest to 0.2? (a) 4\/3 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8667)\/(-36) - 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 + 270 = -88*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-27) - (-2850)\/54 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 542485690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, 12, 54, 118, 204, 312, 442?\n\"Answer: 11*n**2 - 13*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 8. Let x be k(2). Solve x*r = r - f + 4, -3*f = -5*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let k be 5\/(10\/t) - -1. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5209965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3808\/3, -5\/4?\nAnswer: -3808\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdipdixxppxqq. Give prob of picking 1 x, 2 q, and 1 p.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -3*(5 + -2). Is -1\/2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 322*m - 1023 = -10*m, 0 = -3*p + 3*m + 18 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14856043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*162.3.\nAnswer: -324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:51 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 12*q - 9. Let y be f(11). Let g be ((-96)\/84)\/(y\/(-7)). Solve 1 - g = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23678454743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1) + (7*12)\/(-4). Let g = 25 + l. Suppose 0 = g*m - 24 - 32. What is the remainder when 68 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, 603, 636, 689, 768?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - -3 - (2 - -1). Suppose 2 - 4 = -s*d. Suppose a - d - 1 = 0. Solve 5*p - 14 = 4*c + 11, -3*p - a*c + 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156431170 divided by 4469462?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 713050\/261 + -2732. Which is smaller: 2\/13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 at most as big as 917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, -134.\nAnswer: -134, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 - 1112*f**3\/3 + 6699*f**2 - 12532*f\/3 - 4301\/2 = 0. What is f?\nAnswer: -759, -1\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35656832 + -35656186.99719. Let v = p + -645. What is v rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*a**3*o**2 + 7*a**3*o*y**2 - 2*a**2*o**2 + a*y**2 - 165*o**2*y**2 wrt a.\nAnswer: -282*o**2 + 42*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.34, -4, 6, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + 6*x. Let k be z(-6). Suppose k = -2*m + 6*m. Suppose 379 = -n + 6*n - 2*a, m = 4*n - 2*a - 302. What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215\/8 - -6451\/240. Let a(h) be the third derivative of 0*h - h**2 + 0*h**4 + w*h**5 + 0 + 0*h**3 + 1\/480*h**6. Determine u, given that a(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 24*j**2 + 17*j - 214. What is the units digit of d(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1055660816 and 4.8.\nAnswer: 1055660820.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 179413.688 to the nearest 100.\nAnswer: 179400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d - h + 14 = 0, -2*d + 4*h - 14 = 0. Suppose 5*i - d*n - 14 = 327, -5*i = -4*n - 338. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 21\/2*n**2 - 12*n + 49\/2*n**3.\nAnswer: (n - 1)*(7*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 25. Let j(i) = i**3 + 4*i**2 + i + 4. Let s be j(-4). Solve m*q - k = q, q - k - 4 = s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 13*s**2 + 14*s - 6. Let i be v(14). Let h be (-1130)\/(-14) - i\/21. Let x = h - 29. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 134. Let q = k - 63. What is the greatest common factor of 25 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y - 2*y + y. Let w(i) = -i. Let s(r) = -9*r. Let a = -7 + 8. Let m(b) = a*s(b) - 6*w(b). Calculate z(m(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111011001010 (base 2) to base 12.\nAnswer: 6b22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200665?\nAnswer: 5, 439, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157\/6 + -26. Suppose -9 + 12 = 3*f. Sort -1, 3, r, f in decreasing order.\nAnswer: 3, f, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 53*q = 5*q - 1222 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 51*o**2 - 222*o + 8531. What is s(50)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 35*k + 3*q + 39, 2*k + 21 = -3*q. Let f = -6 - -4. Let u be 1 + k\/(9\/f). Solve u*s = s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2270 - 2184. What is the greatest common divisor of 4730 and k?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -45514?\nAnswer: -45513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 102489 and 102490 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71.1 - 69.1. Are b and -25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*h + 2*y - 10, 3*y - 13 = -h. Let m be 65\/100 + 1*h\/(-4). Let p = -2 + 1.97. Which is the third biggest value? (a) m (b) 0 (c) p (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = 3*m + 25, 23 = 4*j + 3*m. Suppose -j*l + 4097 = 12*l. Is 54 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 + 2*f + 2. Let i = 20 - 15. Suppose i*j - 35 = -5*m, m + 0*m + 13 = 3*j. Calculate the remainder when 31 is divided by n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12357, 13358, 15025, 17358, 20357?\n\"Answer: 333*s**2 + 2*s + 12022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - -6 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -4 (b) 0.3 (c) 0.4 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by 2565\nAnswer: 368\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3*-6*sqrt(432))**2 + ((-5*sqrt(432) - sqrt(432))*-2)**2)*6.\nAnswer: -3639168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*h + 895 - 204 + 240 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1398799 minutes in days?\nAnswer: 0.005652694375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108723311?\nAnswer: 43, 49040077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/105*(-18)\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*u**3\/5 - 9793*u**2\/5 - 474*u\/5.\nAnswer: u*(u - 158)*(62*u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2656 and 8383.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -56. Let s be (5\/c)\/(-2 - (-27)\/12). Solve -3*i - s*i = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*g**5 - 201*g - 82*g + 449*g**5 wrt g.\nAnswer: 11100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - 4*c**2)*(3 - 3 + 2) + 7*c**2 - c**2 + 2*c**2 + (-2*c + 5*c - c)*(-c - 2*c + c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*p + 46. Let j be (-5 - (-10 - p))*6\/(-4). Solve -8 = -j*w + k, 5*w - w - 3*k = 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294.7 * 10443\nAnswer: -3077552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765, -2914, -6509, -11556, -18061, -26030?\nAnswer: -35469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (60 - 57).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/(p\/p**(-7))*p**3*p\/(p*p\/p**(-2\/9))*p*p**1*p*(p**(-4)\/p**(-3))**(-7\/6) assuming p is positive.\nAnswer: p**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**3 - 14*c**3 - 10*c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 52*m**3 + 2911*m**2 + 37384*m - 720 = 0.\nAnswer: -36, -20, 1\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 677861 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 139?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f + 98. Let x be ((-2)\/4)\/((-7)\/f). Let g = x - -13. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152292089?\nAnswer: 71, 73, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/(-472)*1*-24 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -6*w + 3*w + 24, 0 = 5*w - 5*g - 20. Let c(a) = 2*a**2 + 2*a + 2. Let b be c(w). Let u = b + -44. What is the greatest common factor of 105 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53\/5 + 482\/45. Which is the closest to 0.1? (a) 3 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1070693 * 14\nAnswer: -14989702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 592237171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.37 + -48.87. Sort h, 1\/12, 7.\nAnswer: 1\/12, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10031741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-5)))**(-6\/5) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804*f**2 - 1087*f**2 + 2910*f**2.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 78*u**4 + u**3 - u**2 + 171*u - 1. Let g(w) = w**4 + w**3 + w - 1. Let f(y) = -2*g(y) + 2*p(y). What is the second derivative of f(j) wrt j?\nAnswer: 1848*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26387 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from qqzhqefzheqqkzq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -35, 212 in descending order.\nAnswer: 212, -4, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768)\/sqrt(2) + sqrt(24))\/(-1*sqrt(588)))**2.\nAnswer: 50\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1458 - ((-6)\/(-3 + 4))\/2. Let c = p + -935. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*d - 8, -4*i - 3*d + 1 + 5 = 0. Put i, -6, -1 in descending order.\nAnswer: i, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 104 = -3*m, m - 51 = -3*k - m. Suppose -15*c - k = 11. Sort c, 8, 0.\nAnswer: c, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 128757\/6 - 6\/(-4). Let i = k + -12618. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 684.7497l?\nAnswer: 684749.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -181*j*q**2 + 3204*j*q + 703219*j - q - 3 wrt q?\nAnswer: -362*j*q + 3204*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 24707900 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 941.\nAnswer: 10351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2021\/6 - -362. Let g = -6797\/762 - -11\/127. Find the common denominator of c and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 15*v**2 + 4*v**2 + 11*v**2 + 36 + 4*v**2 to i*v**2 + p + k*v and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((126\/35)\/(-1))\/(2\/(-40)). Let c = f - 67. Solve 2 = -c*p - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12727 + 12714 + 12288)*(-2*p**5 - 2*p**5 + 5*p**5).\nAnswer: 12275*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {m: 3, r: 12}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9882\/(-36))\/61*(-2)\/9. Put -5, -86, j, 2, 3 in descending order.\nAnswer: 3, 2, j, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2 in ascending order.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -220173123 times 0.1?\nAnswer: -22017312.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1645 - 54 = -43*q. Sort -3, q, 4.\nAnswer: q, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-525)\/10*(-1)\/(-9). Which is bigger: b or -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74968, -74980, -75014, -75082, -75196, -75368, -75610?\nAnswer: -75934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.76. Let q = k + 0.31. Let n = q + -0.54999862. Round n to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11922800 to the nearest ten thousand.\nAnswer: -11920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 3 (b) 0.4 (c) -39384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/124486 and -3\/28258322?\nAnswer: 28258322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -267906\/751 or -357?\nAnswer: -267906\/751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3*g - b**2*g**2 + 4*b**2*g + 3*b*g**2 - 26 wrt b?\nAnswer: 24*b*g - 2*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -51 (c) 0 (d) -4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/13 - 96*p**4\/13 + 84*p**3\/13 + 464*p**2\/13 + 282*p\/13 = 0 for p.\nAnswer: -1, 0, 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 1, q: 4}. What is prob of sequence vqvq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**3\/3 - 100*p**2 - 198*p - 3467. Factor k(r).\nAnswer: -2*(r + 1)*(r + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 736714\/9 and 81858 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l**3 + 3*l)*(15*l - 31*l - 37*l)*(3*l + 2*l + 2*l).\nAnswer: 1113*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*q - 5*w + 4, -2*w = -4*q + 2. What is the common denominator of 0 - 105\/24 - q and 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {f: 4, z: 1, o: 2, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10408420 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 2*g)*(-2 - 6*g**4 + 2) + 1 + g**5 + 4*g**5 + 0.\nAnswer: -7*g**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 6*p**7\/5 + 92*p**3\/3 + 101*p**2 - 222. Let a(d) be the second derivative of b(d). Find the first derivative of a(m) wrt m.\nAnswer: 1008*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - 4. Suppose 5*s + 6 = 5*v + 1, -5*v = -4*s - 3. Let n(p) = 10*p + 8. Let a(y) = s*n(y) - 5*i(y). Determine a(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = 0, 0 = 2*r - 6*r - 3*q + 694. Let t be 0\/3 - -1*(0 + -537). What is the remainder when r is divided by (-6)\/8 + t\/(-12) + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(2*3\/8). Let y = 26 - s. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 63 = -2*b, 380 = 5*x + 3*b + 114. What is the nearest to 9 in x, 1\/3, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258 - 170. Let o = -82 + r. Solve -o = 18*v - 20*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from schltkhk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11894*f - 11. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4912 - 4908. Solve 48 - 59 = o - 5*n, 12 = -4*o + i*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-4) - 6\/(-4)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 2, t: 3, x: 2, v: 2, u: 1}. What is prob of sequence vd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2))**49*(n**(-1\/6)\/n)\/(n**(-4\/11)\/n))**10 assuming n is positive.\nAnswer: n**(-16105\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25005754, 25005755, 25005756?\n\"Answer: z + 25005753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**2*y**6 - 13*g**2*y**4 - 7*g**2*y**2 + g**2*y + 6*g*y wrt y?\nAnswer: 240*g**2*y**3 - 312*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 600 + 141 + 160 + 4*c**3 + 144 to the form t + x*c**2 + p*c**3 + l*c and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -614*v**2 - 3*v. Let d = -54 + 52. Let y be i(d). What is y rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 103256691501?\nAnswer: -103256691501.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -674 - -673.8. What is the nearest to -0.1 in -1\/10, o, 20, -0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236341125 divided by 109875\nAnswer: -2151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -40*o**2 + 3 - 1 - 2 + 42*o**2. Let g(h) be the third derivative of -5*h**4\/12 - 5*h**2. What is g(y(l))?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/23 + 4*v\/23 - 16\/23 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i - 1. Let x = -6632 + 6628. Let b(s) = -23*s**3 - 4*s**2 - 4*s - 4. Give x*f(z) + b(z).\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 90 + (-6 + 5 - (18 - 11) - -14)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4078, -29, -26 in ascending order.\nAnswer: -29, -26, 4078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 41, 90, 159, 248, 357?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 117586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*i - 12, -5*i + 3 = -4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 276\/48)\/(6\/16). Let l be (-3)\/(-3*s\/12) + 3. Solve -5 = o + 2*m, -4*o - 2*m - 11 = -l*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753099.9 millimeters in kilometers?\nAnswer: 0.7530999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165095 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22698 by -1261.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8488.999950942 + -8489. Round g to six decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 9162, 2, 0 in decreasing order.\nAnswer: 9162, 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1239 and 3717.\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38699.31246 - 38698. What is w rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6149 + -6197. Sort 2, 0.2, 3, m in descending order.\nAnswer: 3, 2, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2980386.24 to the nearest 100.\nAnswer: 2980400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 21, 1, -13, -15, 1, 41, 111?\n\"Answer: g**3 - 6*g**2 - 9*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 a, and 1 k when four letters picked without replacement from {a: 1, s: 5, g: 3, k: 1, t: 3, d: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845960700.\nAnswer: 2, 5, 11, 271, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:00 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 11) in base 10?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14873180 is divided by 14260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5806547 rounded to 3 decimal places?\nAnswer: 4.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/65)\/(45\/585).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 23. Let p be r(-14). Suppose 38 = 4*c - 78. What is the units digit of c - (p + -1 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = v - 0*v - 5*h, -3*v + 5*h + 31 = 0. Let o(j) = 4*j**v - j - 3*j**2 + j**3 + 1 - j. Calculate o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k - 1. Let y(x) = -12*x - 1. Let t(m) = 5*s(m) - 4*y(m). Calculate the smallest common multiple of t(-1) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11608905 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72799 is divided by 23492?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17. Let w be (8\/(-282))\/(52\/234). Is h != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65841227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4312886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f - 11. Let q(o) = -175*o - 175. Let a(x) = -63*d(x) + 4*q(x). Let g(m) = -6*m - 6. What is 5*a(s) - 6*g(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -55, -1\/7, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tujjtjjixtjtytuut. What is prob of sequence iijj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -42*(5 + 274\/(-14)). What is the common denominator of (-2)\/4*258\/k and 11\/16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039165.\nAnswer: 5, 207833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8235 = -5*t + 5*p, 8*t - 6*p - 13188 = -10*p. Is 1645 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35959 - 115*b**3 - 35959 + 2*b**3 + 3*b**3 - 7*b**3 + (b**2 + 2*b**2 - 4*b**2)*(1 + b - 1).\nAnswer: -118*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108070 a multiple of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 4*x = -390 - 6. What is the smallest common multiple of x and 3392?\nAnswer: 37312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18612, -149058, -503150, -1192710, -2329560?\n\"Answer: -18637*x**3 - x**2 + 16*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 10, -5*u + 16 = -2*a - 1. Let d be -2*2\/(-4) + (2 - a). Which is smaller: 2\/63 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5356533460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79522910, 79522911, 79522912?\n\"Answer: q + 79522909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f, 6*i + 6*f + 13634 = 13616 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10011001?\nAnswer: -10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**3 + 2*q**2 - 2*q + 1623. Let s(n) = 41*n**3 + 9*n**2 - 9*n + 6492. Determine 18*f(k) - 4*s(k).\nAnswer: -2*k**3 + 3246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 863 = 3*z + 6152, -3*p + 3*z = -21015. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716212 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.3 (c) -9 (d) 0.22 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163903 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:10 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5*u - 2. What is the remainder when 658 is divided by q(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/44 + (12432\/(-770))\/12)*-40?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82866 times 0.22?\nAnswer: -0.1823052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3*u + u)*(-8 + 3 + 2 + 48 + 58).\nAnswer: 721*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445082 is divided by 6954.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + t - 1 = 0, -b + 4*t - 2 = 2. Let n be b + 1 - (0 - 4). Suppose i + n = 19. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14202 - 71784305.\nAnswer: -71770103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**14)*l*l**(-16)\/l)\/(l\/l**(2\/59)*l*(l\/(l*l\/((l*l**(-3\/2))\/l*l)))\/l))**(-1\/29) assuming l is positive.\nAnswer: l**(3477\/3422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5494504 * 16\nAnswer: 8.7912064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 87.7. Let g = 2 - 1.9. Let r be (-3 + -1)*(-72)\/192. Which is the nearest to g? (a) r (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461608.093 rounded to the nearest one hundred?\nAnswer: 461600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8010916*g - 10595656?\nAnswer: 8010916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96076035 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661675 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1012, -10, 5.\nAnswer: -1012, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, -10 in decreasing order.\nAnswer: 15, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 20) + (51 - 20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.594244129 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/sqrt(5)*4)\/(sqrt(99)\/sqrt(99)) + (((sqrt(42)*2)\/sqrt(3))\/(1*sqrt(162)))**2)*5.\nAnswer: 140\/81 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*u + 31913, u + 15956 = m - 0*u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y - 0, 11*x = 8*x + 5*y. Let b(d) = d - 4. Let c be b(4). Let z(j) = j**3 - j**2 - 7*j. Let m be z(3). Put x, m, c in decreasing order.\nAnswer: x, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, -12, -42, -92, -168, -276, -422, -612?\n\"Answer: -o**3 - o**2 - 6*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/18 + (3 - 182\/(-12)). Solve -3*d + 3*y - 14 = -y, d = 4*y - p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*p - 1867 + 1860 = 0, 0 = 3*m + 5*p - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24000001 + ((-2)\/(-4) - (-2)\/4). What is b rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 47097933*g. Let z(y) = y**2. Determine z(q(f)).\nAnswer: 2218215292872489*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47937.27 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1366719 is divided by 249?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/3, -3, -20, 0.013, -5 in descending order.\nAnswer: 2\/3, 0.013, -0.1, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -653 + 657. Suppose -p*i + 0 - 10 = l, 0 = -i + 3*l + 4. Sort 45, i, -2\/11 in ascending order.\nAnswer: i, -2\/11, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 18. Let j(b) = b. Give v(j(q)).\nAnswer: -2*q + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.23048 and -0.06.\nAnswer: -10.29048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805678433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-38)*41895\/(-11025)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from {f: 4, z: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1230818, -2461626, -3692434, -4923242, -6154050, -7384858?\n\"Answer: -1230808*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27448155 and 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -178, -174, -170?\n\"Answer: 4*b - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 7 - 8) + -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x - 13*x**2 - 4 - 7 + 3*x. Let k(m) = 7*m**2 - 6*m + 6. Let v be ((-1)\/2)\/((-7)\/154). Let a(h) = v*k(h) + 6*g(h). Let o(u) = 2*u. What is o(a(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -290992.2802.\nAnswer: -290988.2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14702392491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11302\/100801?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let p = 435.8 + -431.7. Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22172.00014379 - -22172. What is c rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 7844?\nAnswer: 7844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53479\/520 - 483\/104. Let n = -99 + l. Let i = 168 + -139. Find the common denominator of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 38 - 26. Let n(v) = 6*v**2 - 27*v + 7. What is the remainder when n(b) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/15 - 2\/5. Let k(v) = v**3 - 9*v**2 + 8*v + 5. What is k(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - 1. Let b(m) = 3*m. What is 5*b(d) - 3*i(d)?\nAnswer: -6*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 3 (b) -64958 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((2*sqrt(363) + sqrt(3))**2 + sqrt(15)\/sqrt(5) + -3).\nAnswer: -1584 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-36)*((-24)\/(-56))\/1. Let b(o) be the first derivative of -12 - j*o**2 - 2*o. Let w(h) = 2*h**2. Calculate b(w(x)).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854820072 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*-2*2. Let z(f) = 0 - h*f + f - 1. Let y(l) = 2 + 2*l - l + 0*l. Give -2*y(o) - 4*z(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 19*g - 3. Let q be h(-16). Let o be 36\/(-60)*(0 - q). Solve 4*r + 11 = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 158 - 34 = 0. Calculate the remainder when b is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o - 1\/60*o**5 - 29*o**2 + 4\/3*o**3 - 5\/24*o**4 + 0. Determine v(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/4, 0.3, 5, -16\/5, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187\/1339 + 5\/206. Suppose -5*w - 1 = -6. Is w at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Suppose 0 = -i*o + 6 + 30. What is the highest common divisor of o and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-30) - 308\/385?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(720) + -1 + 3)**2 - (1*sqrt(720) + -4)) + 1)*-3.\nAnswer: -2181 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2413 + -16 + 9. Round h to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -82, -85, -88?\n\"Answer: -3*c - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 66*p**2 + 1700*p + 351. Determine i(20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1421*b + 41207. Calculate k(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1098*j**2 - 1096*j**2 - 3 - 24*j**3.\nAnswer: -24*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2. Let n(x) = -9565000*x. What is n(q(v))?\nAnswer: 38260000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -47. Suppose -8*u + 4 = -r*u. Do -8 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5\/5)*3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1.5011. What is s rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.5 - 4.6. Let b = z + 0.1. Let o = -5 + b. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3*q + 3. Let n = -373 + 377. Suppose n*d = 3*h - 5*h - 4, 10 = -5*h - 2*d. Let x(o) = -o + 1. Determine h*x(t) + w(t).\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b - 23 + 4 + 10*b**2 + 0*b**2. Let o be f(6). Suppose 0 = -5*u - s + 395, -6*u + s + o = -u. List the prime factors of u.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3319*m**2 + 37405*m - 318193481 wrt m.\nAnswer: 6638*m + 37405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1000805*n + 3471. Let t(g) = 1153*g + 4. Give 4*k(w) - 3471*t(w).\nAnswer: 1157*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1175.723ml to litres.\nAnswer: 1.175723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176635 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -0.2. Let d = t + -1. Let l = d + -0.7. What is the nearest to 2\/3 in l, -0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 922 divide 4185880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -133554240 (base 6) in base 13?\nAnswer: -739719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 617*z - 615*z + 12, 12 = -4*s + 4*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -930776941.9996744 - -930777445. Let g = f - 503. What is g rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1142, -5, 6\/17, -2\/13?\nAnswer: -0.1142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3988.713 millennia?\nAnswer: 3988713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 6*s - 106 - 7*s**2 + 105 + 0*s**2 + 345*s in the form r*s**2 + k*s + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**4\/3 - c**2. Let g be (2\/(-6))\/(3\/(-99)). Let d(l) = 10 + 2*l**2 + 1 - g. What is d(n(r))?\nAnswer: 128*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:16 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2*b + 3, -324*p - b + 1 = -328*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v + 1. Let u(f) = 5 + 3*f**3 + 8*f - 3*f + 42*f**4 - 41*f**4 - 3*f**2. Let l(d) = -5*j(d) + u(d). Solve l(i) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2268 + -2268.06615. What is l rounded to three dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 67*b**2 + 34*b + 36. Give u(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*v = 199 - 547. Let g(d) be the first derivative of 3\/2*d**2 - d**v + 17 - 5*d. Let a(p) = 6*p**2 - 7*p + 11. Calculate 3*a(i) + 7*g(i).\nAnswer: -3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -23. Let o = -6 - -8. Calculate the remainder when i\/4 + (-6)\/24 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 11*h**2 + 5168397 - 5168396.\nAnswer: 9*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/840 + 4*b**4 + 5*b**2 - 7*b. Let y(l) be the second derivative of t(l). Let k(z) = 2*z**2 - 42*z. Determine y(k(n)).\nAnswer: 12*n**4 - 504*n**3 + 5292*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 1446. Let f be q(0). Let y = 24560\/17 - f. Let d = y - -173\/68. What is the second smallest value in d, 4\/7, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21581245 or 7?\nAnswer: -0.21581245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 + 3*t - 2*t**3 + 3*t - 3 + 3*t**3. Let c = 184 + -191. What is the lowest common multiple of h(c) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3 + 102*p - 4*p + 11. Let x be d(-10). Let b be (-4)\/(-14) + x\/(-49). Solve -b = u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3289.48 - 3108. What is j rounded to 0 decimal places?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 0 = -5*r - 2*y - 26 + 5, -2*r = 4*y + 2. Suppose 4 = -4*g, 0 = 5*c - 0*c - g + 4. Put f, r, c in increasing order.\nAnswer: r, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t**2 - 4*t. Let k be z(3). Let l be (-52 - k)\/(0 - 2). Suppose 0 = -3*u - 5*j + l, 3 = 3*u - 5*j - 16. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -14. Let t(m) = 104*m**2 - 5. Let o(y) = -21*y**2 + 1. Let n(j) = -11*o(j) - 2*t(j). Is n(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146363.77 - -164172.652. Let m = 17788 - v. Let b = m - -0.182. Round b to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -104. Calculate the remainder when l is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*a**6 + 2631*a**2?\nAnswer: 14760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 d when four letters picked without replacement from dddkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 295480033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2. Let h(l) = -11*l**2 - 7*l. Give 2*g(d) - h(d).\nAnswer: 3*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y - 18. Determine l(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 95432*g - 381732. What is m(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3*1*sqrt(168) - (sqrt(168) - -5*sqrt(168)*2)))\/((sqrt(486) - -4*(sqrt(486)*-1 - sqrt(486) - sqrt(486)))*2))**2.\nAnswer: 1372\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -482, -496, -512, -530?\n\"Answer: -a**2 - 11*a - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 22389588?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -32. Let w be (12\/3)\/4 - (-24)\/(-20). Put j, -3, -0.1, w in ascending order.\nAnswer: -3, w, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4405 + 29571?\nAnswer: 25166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19390 + h + 19394 - 38784 - 4*h - 8*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-6 + 6 + -10)) + -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.218\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i - i. Let p be (-1 - -1)\/(2 + (-48)\/16). Solve 2*m + 14 = -2*z, -3*z = -p*z - 3*m + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 32 = 4*x, x = -4*j + 10 + 20. Is j > -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(9\/5))\/p*p\/p**(-2\/11)*p)**(-2\/53) assuming p is positive.\nAnswer: p**(-438\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39911*i**3 - 81*i**2 - 10534533*i - 1 wrt i.\nAnswer: 239466*i - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 - 1. Let i = 0.264515 - -0.035485. Which is the third biggest value? (a) i (b) w (c) -11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 347604 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -164. Solve -6*c + x*k - 16 = -3*c, 5*k = 2*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 2. Let f be a(-6). Let r = -14 + f. What is the units digit of (-48)\/(-5) - 4\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 4775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11465, 10518, 9593, 8702, 7857, 7070, 6353?\n\"Answer: 2*d**3 - d**2 - 958*d + 12422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2\/5 - 524*q\/5 - 4392\/5 = 0 for q.\nAnswer: -122, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10*r + 9900 = 0. Is r a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/120 - f**5\/10 + f**3\/3 - 5*f**2. Let u be d(-6). Solve u*g + 0*g = -2*b + 12, 0 = b - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5533 - 549. List the prime factors of t.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1782 is divided by 1752.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - u + 3*u = 14, 4*x - 20 = -3*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c + 3?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*6\/(-120))\/(12\/11). Let p(r) be the third derivative of -1\/15*r**6 + 0 + 0*r**3 + r**2 - 1\/24*r**4 + 0*r - q*r**5 - 1\/60*r**7. Factor p(y).\nAnswer: -y*(y + 1)**2*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(3 + 26*k + 3*k**2 - 27*k - 1).\nAnswer: -6*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 6 = -3*a - 4*s, -2*s - 4 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235 - -86. Let q = -148.5 - f. Let y = -1 - -1.1. Which is the nearest to 3? (a) 3 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) -26.6 (d) 1\/9 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-15)\/((s*s\/(s*(s**(1\/2)*s)\/s))\/s)**(-27\/2) assuming s is positive.\nAnswer: s**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + v + 70, -o + 3*v = -35. Let t = o + -8. Suppose 0 = 528*s - 420*s - 756. What is the remainder when t is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364604 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 2:58 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6 + 14. Which is the nearest to -1? (a) 5 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244111045*q**2 + 409829569.\nAnswer: 488222090*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4210 and -91\/4210.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04529 + 6.1?\nAnswer: 6.05471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -1, 4, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -414201*-6\nAnswer: 2485206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 0*p)*(2*p - p - 3*p) + 5*p**2 + 2 + 0*p**2 - 4*p**2 - 6*p**2 + 2*p**2 + 2*p**2.\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 132*o**2 + 2904*o - 21296.\nAnswer: 2*(o - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + 15.5.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -30, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032696576 to the power of 1\/2, to the nearest integer?\nAnswer: 63504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 3*j - 7. Let w be y(8). Let x = w + 99. What are the prime factors of ((-5)\/2)\/(-5)*x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.1 - -18.1. Which is the closest to -1? (a) -0.3 (b) h (c) -3\/5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 786530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147339575 or -147339577?\nAnswer: -147339577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1107 - -3046. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-45)*-3*(-180)\/(-192)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6*l)\/l*l*l\/l**(5\/3)*l**2\/(l\/((l\/((l**(-1\/3)*l)\/l*l))\/l)))\/((l\/(l*l**1)*l*l)**0)**(-22\/3) assuming l is positive.\nAnswer: l**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 7. Let o be (-512)\/36 - 2\/(-9). Let n be 10\/o - 2\/f. Let p(i) = 6*i**2 + 1. Calculate p(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -64*n**3 - 24*n**2 - 16. Let m(l) = 13*l**3 + 5*l**2 + 3. Let c(s) = 24*m(s) + 5*v(s). Differentiate c(u) with respect to u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21202*q**4 + 1967*q + 1?\nAnswer: -254424*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2555, 3893, 5727, 8057, 10883?\nAnswer: 14205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 13*x**2 + 14*x + 5. Let l be d(-14). Suppose -5*i + 17 = -2*m, -4*i + 16 = -l*m + m. Sort 1, 5, i in increasing order.\nAnswer: 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 - 3*m**2 + 4*m**2)*(2 - m - 2) + (m**2 + 6*m**2 + 8*m**2)*(3*m - m - 3*m) to the form d*m**2 + a*m**3 + u*m + o and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2 + -1)\/((95\/240)\/19) and 246?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35761780 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 9}. Give prob of sequence qb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 + -94. Suppose -420 = -12*l - 8*l. What is the greatest common factor of l and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 115 = 5*x, 87*x - 33 = w + 89*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j - 2. Give s(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 911, 3083, 7309, 14273, 24659?\nAnswer: 39151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1417, 1663, 2073, 2647, 3385, 4287?\nAnswer: 5353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2689 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14261 is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 5, a: 2, p: 1, j: 1}. Give prob of picking 1 j and 1 a.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6834 and 84864?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36871?\nAnswer: 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**2\/2 + 10*n + 11. What is the tens digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 416386567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 8*s - 10. Let k be p(10). Suppose 0 = 2*v - 0*v - 40. What is the greatest common divisor of k and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1322444110?\nAnswer: -1322444113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 3961 - 2402 = 324*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -119, -268, -477, -746, -1075, -1464?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Suppose s + 100 = l*s. Let h = s - 9. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:45 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10.5, 2\/11, -1, -3, 105, 8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 139\/6, -792, -2\/13, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26008, 51905, 77804, 103711, 129632, 155573, 181540?\nAnswer: 207539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000113328983 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 3*g + 1. Let j be f(2). Let m be (-2)\/(-3) - 47\/j. What is the units digit of (-10)\/m + 13\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3 + 5 + 0*w)*(-4*w**2 + 0*w**2 + 0*w**2).\nAnswer: -4*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -18. Let a be 2\/(-6) - 65\/h. Suppose 4*q = -5*l + a, 0*q - q + 5*l = -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 16, -2*m - 5*x = -m + 469. Let l = m - -529. Calculate the least common multiple of l and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 476 + -488. Which is the nearest to 2\/5? (a) 1 (b) v (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - 3*g**2 + 3*g + 3. Let p(n) = n**2 + 5*n + 2. Let k be p(-4). Let j(c) = 3*c**3 - 2*c**2 + 2*c + 2. Give k*v(r) + 3*j(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1 + sqrt(70))*3 + (sqrt(70) - -5*(sqrt(70)*-2 - sqrt(70))))\/(-4*sqrt(30)\/(sqrt(3) - (sqrt(3)*3 - sqrt(3)))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**9\/u)*u**6\/u assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4485682?\nAnswer: 2, 2242841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -830 + -3?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506554 is divided by 798?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/6 - 3\/(-9). Suppose 6 = -3*z + 3*m, -7*z + 3*m - 2 = -n*z. What is the smallest common multiple of 4 and 10\/3*(1 + z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15*p - 5. Let m(t) = 16*t + 6. Let i(x) = -5*m(x) - 6*o(x). Let q(y) be the third derivative of -y**4\/24 + 4*y**2. Calculate q(i(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-6))\/z**(2\/7)*(z*z**3)**(-10) assuming z is positive.\nAnswer: z**(-317\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)\/sqrt(6))\/sqrt(10).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*a + 46*a + 32*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -1.2. Let d = 6 - j. Let q = 62.3 + -62.4. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j**2 + 15*j + 9. Let l(s) = -6*s**2 + 7*s + 4. Suppose 0 = -167*k - 77 - 1426. Determine k*l(m) + 4*b(m).\nAnswer: 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55965 and 39975?\nAnswer: 279825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.54 litres to millilitres.\nAnswer: 605540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 2*b, j = -2*b - 5 + 2. Solve j = m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16255.\nAnswer: 5, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.090154\nAnswer: 0.270462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2. Let w(j) = 5*j**2 + 1. Suppose -3*a + 22 = -5*f, 2*f + 9 = -0*a + a. Let v be w(a). Let n(l) = -v*l + l + 3*l + l. Determine s(n(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22239840 by 1482656.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*g**4 + 2*g**3 - 67*g**2 + 20429*g + 2 wrt g.\nAnswer: 204*g**2 + 12*g - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 40*z + 22. Let v(u) = u + 2. What is 12*v(p) - w(p)?\nAnswer: -28*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -52*h - 44*h + 137*h - 43*h. Let i(j) = 6 + 1 - 2 - 734*j + 726*j. Calculate i(f(x)).\nAnswer: 16*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -809, -2796, -6525, -12542, -21393, -33624?\n\"Answer: -91*h**3 - 52*h**2 + 2*h + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 - 48040*h + 18*h**2 + 48043*h + (-2 - 2 + 5)*(-5*h**2 + 4*h**2 + 2*h**2).\nAnswer: 19*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*y*y**(-5\/6))**(-22)\/(y**5\/(y\/y**0)*y**(2\/3)*((y*y**(2\/5)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-523\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91.47 + 90. Let i = m - -27.47. Let l = 25 - i. Which is smaller: 8\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 bigger than 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 751277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-399)\/(-76))\/(-21))\/(2\/(-55 - 1)). Let s(r) = r - 16. Let u be s(7). Sort u, -2, w in increasing order.\nAnswer: u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -387 - -383. Let d = 19 - 191\/10. Put u, d, 4, 0.3 in descending order.\nAnswer: 4, 0.3, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13067 and 39917.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/32, -3, -3\/8, -7.\nAnswer: -7, -3, -0.4, -3\/8, 1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/14 - -5\/21. Which is the smallest value? (a) -3 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69.2 - -69.4. Let j = 3 - 4. Which is the nearest to j? (a) 0 (b) q (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/42 + 0 - 1. Let u be -6 + 1 + (11 - (-40)\/(-8)). Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4251*r**5 - 9280*r**5 + 4557*r**5 - 2*r**5 - 2*r**2 + 2*r**2 + (2*r**4 - 5*r**2 + 5*r**2)*(-2*r - 4*r + 5*r) + 0*r**4 - r**5 + 0*r**4.\nAnswer: -477*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 43, 45, 47, 49, 51?\n\"Answer: 2*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 34*p + 120. Let g be w(-22). Is (154\/(-3))\/(g\/30 + -12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/(-11) - (-4)\/22*1. Suppose 5*f + 10*n + 5 = 5*n, b*n + 9 = 3*f. Solve 20*r = 21*r + f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -677*q - 1943. What is the remainder when 190 is divided by x(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 5, 1, -5, -13?\n\"Answer: -j**2 + j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 4*x. Let v(w) = -1 - 5*w**2 + 4*w + 2*w**2 + x*w**2. What is the units digit of v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67080502 is divided by 4006.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(64)\/sqrt(2))**2*-2 + (sqrt(352)*-2)\/sqrt(11).\nAnswer: -256 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*n = -61, -26 = -c - 183*n + 179*n. What is the remainder when 40 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 288, 827, 1630, 2697, 4028, 5623?\n\"Answer: 132*y**2 + 143*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 - -110?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*w - 12, 260*w - 255*w = 2*u - 21. Let p(y) = -y**2 - 7*y - 10. What is p(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = -5*q + 5*m - 146, -4*m + 4 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 24. Let y be c(7). Suppose 14 = y*m - 2*m. Solve -4*h = m + 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398370, -398369, -398372, -398379?\nAnswer: -398390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 455*v + 13929. Give i(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.438 to 1 decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012212010 (base 3) in base 10?\nAnswer: -102684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 7*v + 10. Let j be (-9 - 1)\/(-2 + 14 - 14). Determine w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*d. Solve 4*i - d + 18 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -14412.\nAnswer: -17\/2402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2362*k*q**2 - 235*q**2 + 18*q wrt k.\nAnswer: 2362*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Let o be c(-4). Let h be (-1 - (-1)\/o)*9. Let z be (-26400002)\/(-6) - (-2)\/h. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.379568, 1, -0.17, -2\/7 in descending order.\nAnswer: 1, -0.17, -2\/7, -0.379568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1494 - 2684 = -4*f, -2*f = a - 2074. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311745733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -2*x - 4\/3*x**3 + 0 + 0*x**2 - 1\/3*x**4. Factor k(d).\nAnswer: -4*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 62*f. Let y be w(0). Let j(g) = -3*g + 64. Calculate j(y).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/11, 3, 2 in ascending order.\nAnswer: -4, 2\/11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3598 - 3592. Solve -5*m + s = -n, -5*m + 1 = 6*n - 2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 3381343101?\nAnswer: 16906715505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:53 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842580 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, r: 1}. What is prob of sequence ro?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -188*l + 2. Let j(x) = 187*x - 3. Give 4*j(i) + 5*v(i).\nAnswer: -192*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 2*n - 2*n)*(-2 + 5 - 2)*(2 - 1 + 11) to the form v + o*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -768 - -678. Let a be v\/(-280)*(-1 - -5). Solve -6\/7*i**3 + 3\/7*i**4 - 12\/7 - a*i**2 + 24\/7*i = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8160)\/(-4760) - 4*71\/(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16618, 2.3, -2, 0.1 in descending order.\nAnswer: 16618, 2.3, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10781000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188401 * -3.6.\nAnswer: -678243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**2*i**2 + 5*d**2*k - 24*d**2 - 2*i**2*k - 3*i*k wrt k?\nAnswer: 5*d**2 - 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40541551 to the nearest integer?\nAnswer: 6367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 193*h**2 - 6*h. Let d(z) = -580*z**2 + 17*z. Determine 6*d(q) + 17*m(q).\nAnswer: -199*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6257360 and 873120?\nAnswer: 37544160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1, 4, -162, -8, -1 in decreasing order.\nAnswer: 4, 1, -1, -8, -20, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5689*c - 12517. What is z(2)?\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (10\/60 - (9 - 130\/(-60))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2188045 by -37.\nAnswer: 2188045\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 753 and 552953?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 11:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-92)\/(-230)*(-30)\/(-4). Suppose 3 = -0*y - y. Sort -5, y, m in decreasing order.\nAnswer: m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*k + 627*k - 267*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49\/8 - 6. Let z(s) be the third derivative of -1\/3*s**3 - 1\/60*s**5 + 0*s + 3*s**2 + 0 - q*s**4. Calculate z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441) - 6*(sqrt(441) + sqrt(441) + 1*sqrt(441) - sqrt(441)))\/(sqrt(441)\/sqrt(7)) + 5.\nAnswer: -11*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219671 (base 10) in base 13?\nAnswer: 889640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1478636655 divided by -1335.\nAnswer: 1107593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 22 = 30. Suppose -g + c + 290 = -0*c, k*g + 4*c - 610 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -7 (b) 4 (c) 1020\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/22 + 7 + 406\/(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - 3*v + 6. Let r = 226 - 221. Determine z(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 175?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5355 - 1?\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 0. Suppose a + 2 = 0, 2*a + 14 = 2*o - i. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 divided by 3?\nAnswer: 211\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a year in months?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*a)*(-a**2 - a**2 - 2*a**2) + (a**2 + a**2 - a**2)*(-a - 3*a + 5*a).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -541, 2\/217, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*a**2 + 38 + 33 - 71 + 699*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -1 - 17. Suppose 3*z = -3*g, z + s*g - 3 = 2*g. Suppose 3*t = 4*u + 19, 2*t + 6*u = u - 18. Is t at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - r + 1. Calculate i(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0)\/(-460 - -150).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/14 and (24\/(-2) - (-3 - 0))\/(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d + 5777 = -7663. Suppose 5*c = 4*a + 113 - 34, 39 = c + 5*a. Calculate the remainder when d is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 86.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = b - t, 2*b + t - 11 = 0. Let o(a) = a**2 - 3*a + 3. Let m(d) = -d**2 + 3*d - 4. Let f(u) = b*m(u) + 4*o(u). Let f(s) = 0. Calculate s.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9\/5, -1, 0.1, 0, 0.3, 3\/121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*4\/3. Suppose -3*j - n*j + 20 = 0. Suppose -2*w - 6 = -j*w. Solve 0 = -w*g + 7*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 127521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 + 52. Sort -5, -0.2, s.\nAnswer: s, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/95285 and 91\/142190.\nAnswer: 45927370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 - -151. Suppose -l + 32 = -f*v - v, 3*l + 5*v = 79. What is the highest common divisor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1044, 6, 2\/3, -0.7, 0.4, -6\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:34 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 7 = -7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n. Suppose -5*m = 20, -4*l - 5*m + 8 = -4*m. Let x(u) = -94 + 50 + 44 + 7*u. Let t be (-4)\/6 - 51\/(-9). Determine l*x(i) + t*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 111. Suppose 3*k = -0*k + c. Solve -k*f = -5 - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 15 in ascending order.\nAnswer: -3, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrarxt. Give prob of picking 2 t and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 16*l**2 - 27*l + 15. Let f be t(-14). What is the closest to 0.1 in -4, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-60 + 44)) + (-2 + -3 - -33).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4702 at most -14104\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 38*m + 78. Suppose m*h + 2875 = 36*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 - 1 = 0. Solve 8 = 5*v - 5*a - 2, k*v - 2*a - 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 80782435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/7, -16, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 157. Is n(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9253*z = 8793*z - 16100 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3810.025 from -1231.931.\nAnswer: -5041.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 + 168. Suppose 3*g = 2*u - 4 - 410, -2*u - 5*g + 398 = y. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6604 divided by 73944.\nAnswer: 127\/1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*6*5 - (sqrt(68) + (sqrt(68) + 1*-5*sqrt(68) - sqrt(68))))\/(sqrt(108)\/sqrt(3) + sqrt(4) - sqrt(4) - 6*sqrt(16)).\nAnswer: -34*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 71 - 12*k - 122 - 159 to the form j*k + r and give r.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60274595.\nAnswer: 5, 12054919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -62849.7?\nAnswer: -62849.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29168 is divided by 3239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let y(p) = 5*p. Calculate -33*k(x) + 6*y(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - 1*sqrt(117)))\/sqrt(9) - sqrt(78)\/(sqrt(6)*-1).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.937 rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:11 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -227.6 and -18.\nAnswer: -245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7 - 2*r - 6 + r**2 - 8*r**2 + 15. Let w(y) = -35*y**2 - 10*y + 11. Let m(b) = 11*n(b) - 2*w(b). What is the second derivative of m(h) wrt h?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43032.\nAnswer: 2, 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - ((-4*sqrt(68)*2 + sqrt(68) - sqrt(68)) + sqrt(68))) + (5*sqrt(68)*1 - sqrt(68)) + sqrt(68))\/(sqrt(12)\/(sqrt(54)\/sqrt(2))) + -1.\nAnswer: -1 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/7, 1.1975, 205, -13\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102269892 and 4437?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 821340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 595109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190.272 + -0.272. Let q = j - 189.999818. Round q to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152 - 42055?\nAnswer: -41503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12480979 and 5348991.\nAnswer: 37442937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 27. Let n be z(-12). Let w = n - -16. Is w at most 7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-6 + (5 - 0)). Find the third derivative of 4*k**2 + 31*k**4 - 3*k**l - 23 + 23 wrt k.\nAnswer: 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*a + 2785 = -4*x, -x + 2*a = -690. What is the highest common factor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 - 7*j - 8. Give v(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.028 (c) 0.5 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*u - 21 + 106, -68 = 4*t + 2*u. Is 1*-3 - t*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/3 + m**3\/3 + 2*m**2 - 4. Let c(t) = 3*t + 1. Give 11*c(d) - 4*w(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4030510 + 3015?\nAnswer: 4033525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - 10*l - 9. Let s be g(-8). Let h(b) be the third derivative of b**6\/120 - 2*b**5\/15 + b**4\/4 - b**3\/2 - 25*b**2 - 3. Calculate h(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*h + 3528 = -31*h - 888 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 19 = -3*p - 7, -4*p = -3*b - 17. Suppose 0 = p*m + 4 + 4. Put m, -2, -1 in descending order.\nAnswer: -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106*l**3 + 6690*l**2 + 756*l.\nAnswer: 2*l*(l + 63)*(53*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -0.44. Let k = 6.5 - 8.5. Let r be -2 - (80\/12)\/(-4). What is the nearest to r in k, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2 (c) -37 (d) -1\/3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 9) + 34 + -35\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 5*y - 15. What is the common denominator of 1\/(-4) - (-8)\/(y\/(-39)) and 0 - ((-2)\/28 - 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose -11 = -x*w + 4. Solve 0 = -0*t - t - j + 1, 0 = -2*t - w*j + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {e: 4, o: 2, j: 2, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/165)\/(2\/(-3)). Let h be (-1)\/15*3 - 2\/5. What is the nearest to s in -3\/2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -0.46, -0.5 in increasing order.\nAnswer: -39, -0.5, -0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ysysfyyyytssysysyyy.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - -2 - (-66 - (112 + -63)).\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*o**2 - 97*o**2 + 14*o**2 + 40*o**2.\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {k: 1, s: 3, u: 1, y: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from eeeyeyeeeteeee?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(104) - (sqrt(104) + -1*sqrt(104)) - sqrt(104))\/sqrt(8))**2 + (sqrt(156)\/sqrt(3)*1)\/sqrt(4) + -5.\nAnswer: sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from itiiiiiiiiiiiiiiiii.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00595 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 17*m**2 + 41*m - 26. Let f be v(-14). Let r be (f\/12)\/(9\/(-6)). Find b such that 1\/3*b**3 - r*b**2 - 1\/3*b + 1\/2 + 1\/6*b**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 + -99. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*1758\/(-293)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 35240 = -60*j. Let a = j + 2033. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 1. Let j be l(-1). Let a be j\/((-1)\/1 - 12\/(-18)). Suppose -a*r + 2*x - 376 = -2979, 5*x + 2588 = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 386*f**2 + 672*f - 8. Let p(h) = 385*h**2 + 675*h - 10. Let v(g) = -4*p(g) + 5*q(g). Find the second derivative of v(m) wrt m.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2246, 4814, 7626, 10676, 13958, 17466, 21194?\n\"Answer: -s**3 + 128*s**2 + 2191*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:46 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 64*v**2 - 26*v**2 - 24*v**2 - 7*v**2 + 189*v**5 + 21*v**2 wrt v.\nAnswer: 11340*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 18*i = 206 - 26 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387447 is divided by 53362?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 - 1. Suppose u*r = -r + q + 83, -5*q = -3*r + 75. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -39*w + 43*w - 7, w = 2*j - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8912\/(-12)*(1*-2 + 10\/(-4)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/(z*z**(-6)))\/(z**(6\/11)\/((z\/(z\/z**(-3\/4)))\/z*z)) assuming z is positive.\nAnswer: z**(295\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -72\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 4*q + 4. Give z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 95862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 288, 645, 1144?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from sssqwfsqkkfswp.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-34)\/6 - 2\/(-3)). Let y be 72 + 3*(-15)\/9. Let n = -60 + y. Solve -w*x + 4 = 4*s, -x + 5 = -2*s - n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14266550 is divided by 6168?\nAnswer: 6134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16072380 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9135 and 21?\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 + 2*m + 1. Let r be (-4)\/(4*(-1)\/(-6)). Let v be 4\/r - 5\/15. Determine f(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqpqfpp. What is prob of picking 1 p, 2 q, and 1 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 24\/(-6) - (-8)\/104*0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(1 + (-1 - 2)). Suppose -r + 2602 - 931 = 3*o, -2*o + 2*r + 1114 = t. List the prime factors of o.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + 11331\/(-15). Let u = -403 - l. Calculate the greatest common factor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/8*0. Suppose -a + 0*a + 6 = i. Let m be a\/(-15) - (-2)\/5. Solve -5*r - 2*x - 4 = m, -2*r + 3*r = -2*x + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5 + 2\/5*w**2 - 6*w.\nAnswer: 2*(w - 16)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89505 and 12557220?\nAnswer: 339044940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3985*j - 135488. Calculate c(34).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1022, -4082, -9180, -16316, -25490?\nAnswer: -36702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.31 and 1.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = 5*c - 3*c, -3*c + 9 = -4*z. Suppose z*i + 1032000 = -6*i. What is i rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372922 divided by 55?\nAnswer: -1372922\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1452\/(-8712))\/(217\/14))\/((-1)\/15)?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -51362*u. Let p(w) = 3*w**2. What is g(p(l))?\nAnswer: -154086*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1124413133?\nAnswer: 1124413141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(3*v**2 + 2 - 2) - 28*v**2 + 32*v**2 - 129*v**2.\nAnswer: -119*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - w + 113 = -i, -3*i - 5*w + 159 = 0. Suppose -5*u + 152 = 3*t, -u - 4*t + i = u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7543 - 3779 + 22*f**2 - 3764.\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -47551811\/2 less than -23775907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 - 1781*d**2 + 4903943*d\/2 - 2450190 = 0 for d.\nAnswer: -4623, 1, 1060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2182.8 - -2183. What is the closest to n in -2, -0.1, -26\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 14*o**3 - 2235*o**2 - o**4 + 2232*o**2 - 26*o**3 as i*o**3 + y*o**2 + j + s*o**4 + h*o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5, 0 = -72*a + 68*a + 4*t + 296. Solve 3*v - a = -58 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 3882 = 4*d - 3826, -3*d - 4*f + 38 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -64, -84, -122, -184, -276?\n\"Answer: -y**3 - y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -92086885 and -92086883 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/3805?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 428.2207+0.5\nAnswer: 428.7207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1082*v. Let h(w) = -106251*w. Give h(s(b)).\nAnswer: 114963582*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/9 + 142*i**2\/3 + 1730*i\/9 + 434\/3 = 0. What is i?\nAnswer: -3, -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8379 + -7874. Calculate the least common multiple of j and 909.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 17. Let y(m) = -58*m + 84. Let v(x) = -5*s(x) + y(x). Let j(t) = -23*t**2. What is v(j(g))?\nAnswer: 1219*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063*x**2 - 979*x**2 + 2*x**3 + 1940*x**2.\nAnswer: 2*x**3 + 2024*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 7, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11463528 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.16178 - -26.16173. Let g = -0.054 + 24.054. Let c = f - g. What is c rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1287.86 times 0.1\nAnswer: 128.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1158 + -59060\/51. Let q = 149\/102 - g. Suppose 5*h - 10 = 0, -5*m + 17 = 2*h - h. Which is the second biggest value? (a) m (b) -3 (c) q (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*q - 230, 0 = -4*k - 82*q + 85*q + 233. Calculate the remainder when 279 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 200166106?\nAnswer: 200166104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2*10368\/108*15\/135?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {e: 6, o: 7, v: 1, c: 6}.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (11 - 4) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**2 + 0 + 1\/60*g**5 + 1\/24*g**4 - 2\/3*g**3 + 0*g + 1\/120*g**6. Let s(j) = -j**2 + 1. Let l be s(1). Give n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*p + 3*m, -3*p + 5*m = -0*m - 14. Let r(j) = 3*j**2 - 10*j + 17. Let t = 43 + -18. Calculate the remainder when t is divided by r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3135\/(-2805) - (1 + (-36)\/17 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 4\/7, -627\/5, 5, 38?\nAnswer: -627\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 + 3*z + 4. Let r(a) = 12*a**3 - 10*a. Let i(c) = 35*c**3 - 29*c - 1. Let k(v) = 6*i(v) - 17*r(v). What is -7*d(x) - 5*k(x)?\nAnswer: -2*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 - 6*p - 2. Let b(u) = -11*u**2 + 13*u + 5. What is 3*b(r) + 7*q(r)?\nAnswer: 2*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388825 is divided by 3775?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 42. Let d be g(-6). Suppose -37 = 4*x - 6*x - f, d = -3*f + 3. Solve -x = -5*w + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncn when four letters picked without replacement from bccbnbbcbnbbc.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d - 30 = 0. Suppose -a + d*a = 4*v - 155, 0 = -2*v + 5*a + 75. Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -207 + -5?\nAnswer: -20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 35*b**2 + 28*b**2 + 0 - 36*b**2 + 2868*b.\nAnswer: 27*b**2 + 2868*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-24)\/(-147)*(-1589)\/(-2724))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294*f + 115*f - 102*f)*(6 - 6 - 7*f) - f**2 - 3*f**2 - f**2.\nAnswer: 1962*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1290c + -2d?\nAnswer: -1293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348704, 697505, 1046390, 1395359, 1744412, 2093549?\nAnswer: 2442770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1888896 and 2496?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/580 and -23\/120?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 40 = 4*k, 155*k + 39*k = -5*z - 1572 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -294 + 2*h**4 - h - h**2 + 281 - 4*h**4 as f*h**4 + u*h**3 + g + j*h**2 + i*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fywygegyye. What is prob of sequence gw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.47, 5, 10\/3, -4, -0.2 in ascending order.\nAnswer: -4, -2.47, -0.2, 10\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 4*s**2 - s**2)*(9 + 4 + 3)*(4*s - s - 2*s)*(2*s**2 - s**2 + s**2).\nAnswer: 96*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c + 23*c - 24*c + 266*c**2 + 185*c**6 wrt c?\nAnswer: 22200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.81 or 1?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.294964 times 1.4?\nAnswer: 1.8129496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65552301 - -11?\nAnswer: -65552260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 0 + 35*n**3.\nAnswer: 35*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 355*w + 1745. Calculate h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 14*x - 9. Let h be t(15). Let i = h - 6. Solve 0 + i*r**2 - 2\/5*r**3 + 2\/5*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w + 2164. Let r(q) = 21*q + 10818. Determine 2*r(p) - 11*x(p).\nAnswer: -2*p - 2168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*x + 17, -51 + 67 = -x - 5*z. Which is bigger: 5\/827 or x?\nAnswer: 5\/827","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 + 3*g**5\/20 + g**4\/24 - g**3\/2 - 13*g**2. Let m be i(-9). Let q be (m\/(-54) - (-104)\/18)\/2. Solve q*l = 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1700626 divided by 1.\nAnswer: 1700626","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1863*s**2 + 611*s**2 + 627*s**2 + 22*s + 10*s - 5*s**3 - 8 + 630*s**2. Let z(r) = 3*r**3 - 3*r**2 - 21*r + 5. Calculate -5*j(k) - 8*z(k).\nAnswer: k**3 - k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694 = -10*z - 134. Suppose -5*b + b = -44. Suppose -y - 4*t + b = 1, y + 2*t - 12 = 0. What is the greatest common factor of z and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2009*y + 2751*y - 36358 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4.87, 3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 12 + 78 = -7*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576196638 to the power of 1\/2, to the nearest integer?\nAnswer: 24004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1955 + 974 - 5*a**2 + 981.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 4*p**2 + 2*p**2)*(2*p + 2*p - 5*p) + 39*p**3 - 91*p**3 - 56*p**3 + 3*p**2 - 3*p**2 - 2*p**3 to the form y + f*p**2 + c*p + m*p**3 and give m.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 491030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 2*b)*(-5*b**2 + b**2 + 3*b**2) - 87*b**3 - 2548*b + 2548*b.\nAnswer: -86*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - v + (-1 - 1 + 0)*(3*v - 6*v + 5*v) + 0*v - v + 4*v + v - v + v + 2 - 2 + 3*v + 0*v - v - v + (-1 - 1 + 0)*(-3*v + 2*v + 3*v) + 3 - 3 - 3*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-30)*4\/(-7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4236458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 66*n = -7*x + 4*x + 90, x - 8 = 13*n + 7*n - 22*n for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10455 - -94135\/9. What is the second smallest value in 4, -2\/19, m, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8325 and 740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 40 (b) -0.2 (c) -3\/2 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -152, -358, -628, -962?\n\"Answer: -32*n**2 - 110*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -31\/4. Let b = -26.27 - -0.27. Let h = -29 - b. What is the third biggest value in h, y, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136719877 to seven dps.\nAnswer: -0.0013672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-45))\/(246\/738)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3775.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 21, 22, 39, 78, 145, 246, 387?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2260 - -3303. List the prime factors of u.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n + 5*z - 1, -4 = 4*z. What is the third derivative of w**2 + n*w**2 + 40*w**4 - 18*w**4 - 12*w**4 wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1))\/((c*(c\/(c\/(c*(c**(-1\/57)*c)\/c*c)))\/c*c*c)\/c))\/(c**(-3\/11)\/((c\/c**(1\/23))\/c*c)))**(7\/3) assuming c is positive.\nAnswer: c**(24913\/43263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2071283727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + -36 - (-9795 - -9798).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 106950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 3*m**2 - m + 4. Let a(x) = x**2 - 4*x - 1. Let y be a(4). Let r be (0 - -27) + 4\/y. Suppose -29*f + r*f = 18. What is n(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*d**2 - 112*d**2 + 55*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 6*u**2 - 6*u - 3. Suppose -9*s + 27 = -0*s. Let b(y) = -2*y**s - 18*y**2 + 19*y**2 - y - y**3 + 2*y**3. What is -6*b(q) + n(q)?\nAnswer: 3*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 - (12 - (3 + 19))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 o when four letters picked without replacement from mvomomovomovovmoommv.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q. Let j(n) be the first derivative of -641*n**3\/3 - 726. What is j(s(o))?\nAnswer: -16025*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71983*z**3 + 28929*z**3 - 23*z + 23*z.\nAnswer: 100912*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.25 and -52.\nAnswer: -52.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17725289*k. Let j(l) = 11*l. Give w(j(d)).\nAnswer: -194978179*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r - 156. Suppose -91*k = -95*k - 124. What is the remainder when v(k) is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -1\/31, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 1890.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1418*r**3 + 1221*r**2 wrt r.\nAnswer: -8508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79c274 (base 13) to base 3.\nAnswer: 12102110120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22))\/sqrt(11) + sqrt(18)\/(sqrt(36)\/sqrt(4)))**2 - (sqrt(22)\/(-2*sqrt(11) - sqrt(11)) + -5).\nAnswer: sqrt(2)\/3 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5\/7 + 132*x**4 - 14612*x**3\/7 + 36756*x**2\/7 + 85168*x\/7 - 108240\/7 = 0.\nAnswer: -246, -2, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/g**18)\/g)*g**(-19))**(-3\/31) assuming g is positive.\nAnswer: g**(3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29705888 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 99, 421, 957, 1707, 2671, 3849?\n\"Answer: 107*b**2 + b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50489, -50093, -49697, -49301, -48905, -48509?\n\"Answer: 396*s - 50885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -36752179\/10 bigger than -3675218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.603 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4639163 rounded to 3 dps?\nAnswer: -4.464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3351494435?\nAnswer: 5, 67, 10004461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 66. Let p be 16\/w - 7\/21 - -3730. Let d = p + -2468. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4) - -1*(-12)\/(-8). Let r = -0.3 - -0.2. Let g be (82\/(-20) - -2) + (-27)\/(-45). Which is the closest to r? (a) p (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 98 = -4*f + 8*f, 99*f - 31 = -13*a + 15*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -45, 2909 in ascending order.\nAnswer: -45, 15, 2909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 - 2\/(-3). Suppose -s + 2*s - 8 = -u, 3*u + 15 = g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206645243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.001 and 1.8?\nAnswer: 1.8018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2185.5015 to the nearest integer.\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-323118)\/3712 + 87)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557106, -2228448, -5014028, -8913846, -13927902, -20056196?\nAnswer: -27298728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -3 - 1) + 2 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 19057049.\nAnswer: -19057048.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:24 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.5896 years to months.\nAnswer: 2395.0752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 11:22 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155250783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 64812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 + 98 = 24*v + 90 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21692 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.12997ml to litres.\nAnswer: 0.00912997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/8*36\/(-70). Let i = 8.5 - 8.6. Sort 4, 1\/2, i, m in increasing order.\nAnswer: i, 1\/2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22597090 smaller than -22597081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 353 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + l**2 - 4*l**2 - 6*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 13. Let a be (-1 + p)\/(8\/12*3). Suppose 0*g - a*g - 88 = -r, -2*r + 2*g = -188. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 4*t + 4*t)*(-83*t + 2924 - 2924)*(-t**2 - 2 + 2) - 2*t**3 - 2*t**4 + 2*t**3 + (-1 - 2*t + 1)*(5*t**3 - t**3 - 3*t**3).\nAnswer: -419*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 12*o**2 - 12*o + 15. Let f be m(11). Suppose 3*s - 9 - 5 = -c, -2*c + f*s + 8 = 0. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73281622.\nAnswer: 2, 36640811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-370)\/25)\/((-1)\/(-5)). What is the tens digit of p\/2*(4 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0588753 (b) 5\/3 (c) -63 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -2\/39 (b) -13 (c) -0.3 (d) 97\/5 (e) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466711 is divided by 419.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287627.15719 - 234181.6571. Let z = -53445 + x. Let n = z + -0.5. What is n rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 235, 472, 721, 988, 1279, 1600, 1957, 2356?\n\"Answer: d**3 + 230*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -170*g**2 - g**3 - 33 - 29*g - 28 + 59*g**2 + 51*g**2 + 46*g**2. Let u be l(-12). Is u > -4\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*j + 40 = r, -5*r - 5*j = -5. Suppose 0 = 2*b + 4*o + 2, -3*b - 3*o = -r*b + 19. Suppose 5*w + b = -25. Which is bigger: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 367216 and 4.\nAnswer: 1468864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 9. Let f(w) be the first derivative of 7*w**2 - 26*w - 8. Give 6*f(j) - 17*l(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 5*l + 41. Let a be t(9). Let q(g) = 101*g - 40. What is the hundreds digit of q(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102000110221 + -12?\nAnswer: -1102000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and -2282.\nAnswer: -187124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + 34*q**2 + 297.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*d - g + 4, 2*d = -2*g + 34. Is 3 a factor of (-12)\/(-3 - d\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30200 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b - 8. Let o be k(0). Let q(x) = -9*x**2 - 6*x + 4. Let u(n) = 11*n**2 + 5*n - 6. Let z(p) = 5*q(p) + 4*u(p). What is z(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233182700 by -11659135.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/5 + 8702*v**2\/5 + 17011281*v\/5 - 8555694588\/5 = 0. What is v?\nAnswer: -4557, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:42 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-33)*52085\/(-1894)*69\/(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*r + 281*r - 76*r - 66*r - 67*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:46 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 393c - -48d?\nAnswer: 3dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8013646460.\nAnswer: 2, 5, 71, 5643413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1200 divide 2336400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 68 + 2. Suppose p = 46 + l. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 minus -0.2?\nAnswer: -365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g*u**3*v - 80*g*u**2*v**2 - 2*u**3*v**2 - 14*u**2*v**2 - v wrt g?\nAnswer: -5*u**3*v - 80*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 23*z + 123. Calculate w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -19*r**2 + 433*r + 180. Determine b(22).\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 1112.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1666 = 7*a - 1701. Solve g - 20 = 3*x, g - a*x + 8 - 38 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 9*j - 2. Suppose 0 = -2*g - 3*n - 3 + 19, 3*n - 12 = 0. Let t(y) = -y + 2 + y**2 - 5*y**g - 7*y. Let c(l) = -6*t(l) - 5*v(l). Factor c(r).\nAnswer: -(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -83\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 668 + -448. Suppose -4*r = 0, -r - n = -4*z - 5*r. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 37*f - 175*f**2 - 1 + 40*f to the form p*f**2 + r*f + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u**2 + 6*u + 20*u**2 - 6*u - 33*u**2 + 36)*(u + 11*u - 7*u).\nAnswer: 30*u**3 + 180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96279.3 hours to nanoseconds.\nAnswer: 346605480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -47*v**5\/30 + 49*v**4\/24 - 2*v**3\/3 + 4*v**2 + 67. Let b(j) be the third derivative of y(j). Differentiate b(t) wrt t.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2702\/3 - 897. What is the nearest to -0.1 in 5, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17263473 to the nearest integer?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -92988a?\nAnswer: -92988b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17930, 35861, 53792?\nAnswer: 71723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*l = 74, 3*d + 2*l + 2*l - 58 = 0. What is the least common multiple of ((-114)\/(-12))\/(3\/d) and 9?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 + p**3 - 3 + 3*p + 3*p**2 + 2 - 1. Calculate f(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9072266.\nAnswer: 2, 7, 648019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0*z**2 + 43*z + 118*z**3 - 22*z**2 + 10*z**2 - 400*z**3 - 21*z. Let b(a) = -113*a**3 - 5*a**2 + 9*a. What is -12*b(h) + 5*p(h)?\nAnswer: -54*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*(-3 + (sqrt(5) + (sqrt(5) - (3 + sqrt(80))))*-5)*-2 + 3))**2.\nAnswer: 1270080*sqrt(5) + 3369924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxox when four letters picked without replacement from oxoxoxkxxkkookxox?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 46*d - 12. Let c be h(4). Suppose -c = s - 64. Let j = s + 103. Let a(y) = y + 12. Calculate a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*b**3*c + 2*b**3 + 5*b**2*c**2 - 613*b**2 - 30*c + 3 wrt c?\nAnswer: -27*b**3 + 10*b**2*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2 + (0 + 2 - 3)*(0 + 1 + 0) - 1 + 2 - 2 + 1 + 0 - 3 + 4 + 4 + 4)*(2*a - 2*a**2 - 3*a + 4*a).\nAnswer: -14*a**2 + 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6860.01 - 6862. Which is smaller: -1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 106 = -34. Suppose -25*h + w*h - 14 = 0. Let g = -18 - h. Which is smaller: -21\/5 or g?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196122.\nAnswer: 2, 3, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Let h be (g\/3)\/(0 - -10). Let l = -10697\/2 + 5347. What is the third smallest value in h, -2\/13, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -1, -625 in increasing order.\nAnswer: -625, -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3417878 is divided by 84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/720 + 7*u**4\/6 + 6*u + 2. Let a(s) be the third derivative of n(s). Let d(v) = -70*v. Calculate a(d(o)).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1563, 1562, 1561, 1560, 1559?\n\"Answer: -c + 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29389 and 34?\nAnswer: 999226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/28 and 64\/144*3\/(-21)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4*f**3\/5 - 5*f**2\/2 + 2*f\/5 - 50. Factor r(a).\nAnswer: (a - 2)*(12*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2476 = -4*m - 5*g, -5*m + 3098 = g. Calculate the remainder when m is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -657 + 657. Solve 3*q = -5*h + 30, -q - h = -g*q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + 10 + (36 + -3 - (1 + 2)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+267629.4\nAnswer: 267629.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 3564972?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-7 - -8)\/(3\/4212)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Suppose 320000 = -3*q + t*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104656 and 11394?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1161\/(-129))\/(1 + 20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14656342\/135 and -108565 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30290 divided by 5.\nAnswer: -6058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-5))\/(8\/(-220)). Let u = -44 - w. Solve u = v - 2*q + 2, q + 4*q - 23 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -1, 4, 7 in descending order.\nAnswer: 7, 4, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 545922972 and 4788798?\nAnswer: 545922972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 - 568*d**2 - 55*d + 3900. Calculate x(71).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 3*k**2 - 4*k + 2. Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7*t + 6. Let y be d(7). Let h be (-4)\/y*(-447)\/6. Let u = -49 + h. Which is the second biggest value? (a) 0.4 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 8*a - 12 + 2*a**3 + a**4 + 3 as k*a**4 + q*a + u + c*a**3 + v*a**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 36 = 3*h. Suppose 3*c - 6 = -h*j, 2*j + 2*j - 3*c = 15. Suppose -4*w + j*b = -8*w + 3245, 0 = -w + 5*b + 794. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*m - 0*m + r, 3*m = -3*r - 27. Let a be -4 + m\/(-8)*-6. Let n = a - -35. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(1152))**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8600*w**2\/3 - 7562266*w + 5276\/3.\nAnswer: -2*(w + 2638)*(4300*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4680957?\nAnswer: 3, 61, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 58087784 divided by 5464\nAnswer: 10631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 590206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -46. Let a = 68 - j. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33473 minus 1?\nAnswer: -33474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*a + 2*u + 8, -u = 0. Suppose -2*n - n - 9 = 0. Let h(d) = d**2 - 5*d - 5. Let o be h(6). Sort n, o, a in decreasing order.\nAnswer: o, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -25 + 115. Let f = x + -13. Factor -9\/5 - 6\/5*s + 3\/5*s**f.\nAnswer: 3*(s - 3)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = -3*y + 4, 7 = -3*k + 4*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/9)\/(1\/3). Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 - 6*y + 10. Let n be x(5). Suppose 4*t + 19 = -1, 0 = -n*i + t - 15. Sort -1, 3, i, 2.\nAnswer: i, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 7:45 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1600, 1918, 2306, 2764, 3292?\n\"Answer: 35*k**2 + 213*k + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1518 and 383064?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 7. Let m = o - -4. Let s = -9.99999987 - m. Round s to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-7) + (-18)\/(-63). Is s - (-92 + (0 - -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8449074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 - 8*b + 5. Let j be (16\/(-2))\/(-2 - -3). Let d be n(j). Let o be (-4)\/(39\/(-9) - -3). Solve 2*f + o*f = -d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*u - 4*z + 17, 25 = 2*u + 3*z. Let k(c) = c**3 - 12*c**2 + 15*c + 7. Let r be k(u). Solve r*s = 49*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0120753 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/15)\/(1\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let p(r) = -1286*r**2 - 18*r. Determine z(p(w)).\nAnswer: -1286*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 192663680 to the nearest 100000.\nAnswer: 192700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 k when four letters picked without replacement from {k: 5, l: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p + 9*p - z - 234, 5*p + 598 = 4*z. Let u = -116 - p. Solve -4*v + 6 = -u*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = 3*u + 70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 less than -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9631?\nAnswer: 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -824.48 + 764. Round w to 0 decimal places.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*y - 24456 + 60448 = -2341*y - 99548 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzhuqupuzzpquzuzu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 97, 430, 969, 1714?\n\"Answer: 103*y**2 + 24*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, y: 2, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 0)\/(-4*(-1)\/(-2)). Suppose 0 = 2*o - 6*o - z + 14, -17 = -a*o - 4*z. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 17. Solve -2*x = o - l, 3*x - 22 = -0*o - 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 19*l**8\/24 - 335*l**4\/24 + l**3\/6 - 1270*l**2. Find the second derivative of p(g) wrt g.\nAnswer: 5320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46\/241? (a) -3 (b) 5\/6 (c) 1\/2 (d) -4 (e) -3\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28281, 56537, 84789, 113037, 141281, 169521, 197757?\n\"Answer: -2*w**2 + 28262*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(308\/(-32)) + 260\/154.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-27)\/648 + 6\/16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 38. What is the least common multiple of z(-28) and 164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2058.35 - 1985. Let c = z + 1.65. Let w = c - 75.1. Put 0.4, 0, w in increasing order.\nAnswer: w, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqo. What is prob of picking 1 q and 2 o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -18865358\nAnswer: -3773071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 270531 + -60?\nAnswer: 270461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 5037770.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 4085880*s - 1391201281200.\nAnswer: -3*(s - 680980)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-348)\/(-290))\/(2 - (-1059)\/15).\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -24. Let d be ((-15)\/3)\/(k\/1). Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 253?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-198)\/55)\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*j + 4*s, j = 2*s + 8 + 35. Suppose 4*a - 76 = 4*o, -2*a = -5*o - j - 10. Solve 3 = -13*r + a*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 7*g**3\/6 + 2*g + 91. Let w(y) = -2*y - 59. Calculate w(o(d)).\nAnswer: -14*d - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 - 8*n + 4. Let j be l(-8). Suppose 0 = 3*o - x - 7, 5*o + 5 = j*x + x. Solve o*g = 5*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953265 is divided by 103?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 11*n)*(-2 - 2 - 1)*(-2 + 4 + 2) + 8 + n - 8.\nAnswer: 161*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 8450.\nAnswer: -1\/8450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a day in minutes?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 426\/24. Suppose -f + 0*f = -4*c + 1, -2*f - 2*c + 8 = 0. Suppose 33 + k = f*u. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4076 - 4073. Let x(g) = -2*g**3 + 8*g**2 - 3. Let i(a) = -2*a**3 + 7*a**2 - 2. Give w*i(u) - 2*x(u).\nAnswer: -2*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiww when four letters picked without replacement from wiiiiiwiiwiyiii.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 56 = 3*p. Let h be p\/3*9\/3. Suppose 2*m + 8 = -g - 2*m, 77 = -4*g - m. Is g equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 5. Suppose 3*q - q - h = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164626498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 796\nAnswer: 310.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*q + 2*w, 4*w - 24 = -4*q + 36. Solve 0 = -3*n + 12, -4*v - 4*n - q = -7*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q - 1. Let r be s(-2). Let i = r + -8. Let a be i\/7 + (-124)\/(-28). Calculate the highest common divisor of 36 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1712*l + 10274. Let m be h(6). Solve m*n - 8*t = -18*t + 50, 0 = -4*n - 3*t + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 + q + 3. Let o = 1 - 5. Let g(p) = 8*p**3 - p**2 - 2*p + 2. What is the remainder when g(2) is divided by w(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - 2*o - 22, n = o + 8. Let d(b) = -b**2 + 5*b. Let h be d(n). Is (15\/h + -2)*52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:51 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*k - 5. Let w = -0.0267 - 0.0733. Which is the smallest value? (a) k (b) w (c) 2\/21 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16795 or -16855?\nAnswer: -16795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873090716296 plus 0.02?\nAnswer: 5873090716296.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 10*h**2 + h. Let p(m) = -m**3 + m**2 + m - 1. Give b(z) - 2*p(z).\nAnswer: -z**3 + 8*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/2))**(-7\/3)*v**(-2\/5)\/(v\/(v\/v**(-2\/3)))*((v**(1\/3)*v)\/v*v**5)**(-1\/9) assuming v is positive.\nAnswer: v**(-1033\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0958 to 3 decimal places.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/15, -1\/3, 3.34.\nAnswer: -1\/3, 2\/15, 0.5, 3.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose b - 3*b = g, -4*r + 5*b = -12. Suppose -q - 16 = -r*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 2*h - 5*n - 17 - 2 = y, 0 = 4*n - 20. Let k = h + -16. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/2)\/(14\/(-7)))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34100104204 + -1?\nAnswer: -34100104210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 10. Let l be f(7). Suppose -l*i + 52 + 16 = 0. Calculate the remainder when 66 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83314 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21200000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 10266*i + 215192. What is f(-21)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1827 + -1825. Solve 3*k + 13*l = 8*l + b, 3*k + 7*l = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/6 + 93*t. Let f(k) = 2*k + 4. Determine f(b(o)).\nAnswer: -4*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 13*h + 4*h - 14*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32636 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*h + 4*h. Let v be h\/18 - (-4)\/6. Let y = 0.6 - -0.4. Sort v, 0.5, y.\nAnswer: v, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 2*y**2 + 0 + 27*y + 1\/3*y**3 - 1\/12*y**4. Determine x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y**2 - 9*y - 27. Let o be s(-8). Suppose -o = -10*z - z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.59 - -0.59. Let c = -28 - q. What is the second smallest value in 0.2, c, -1\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628629855 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Let y(l) = -566*l**2 - 771*l**2 - 755*l**2 + 1915*l**2. What is m(y(r))?\nAnswer: -62658*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*z**2 + 255*z wrt z.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 2 g when four letters picked without replacement from {v: 4, g: 7, x: 5, u: 2}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q**2. Let u(x) = -8*x + 1. Give m(u(o)).\nAnswer: 512*o**2 - 128*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 10. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2547 * -0.2.\nAnswer: 509.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 - 54*h**4 + 6*h**3 + 108*h**2 - 3*h - 54 = 0. What is h?\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y + 5*m - 35 = 34*y, 0 = -2*y - m + 23. Solve -y = -48*j + 134 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*h - h - 44, -4*h + 138 = 5*r. Suppose -2*i + 24 = -r. Let q be (-15)\/(-2)*(-4)\/(-6). Solve 0*k + q*k = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4))**2*-4 - sqrt(2) - sqrt(98)*-1) + 0 + sqrt(8)\/(-2*sqrt(36)).\nAnswer: -8 + 35*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 154*z**2 + 5*z + 21. Let b be l(-4). Let v = b + -1754. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54180, -75997, -97814, -119631, -141448?\n\"Answer: -21817*k - 32363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.081, -3\/2?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -370.423\nAnswer: -18521.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/g)**(-1\/7)\/(g**(-1\/2)\/g**16))**32 assuming g is positive.\nAnswer: g**(3568\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((sqrt(539) - ((sqrt(539) - (sqrt(539) + 0 + sqrt(539) - sqrt(539))) + sqrt(539) + -4)) + -5*sqrt(539)*2)*-6 + 0) + -3)**2 + -5.\nAnswer: -75600*sqrt(11) + 7763620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314772885 to the power of 1\/3, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6090 (base 10) to base 5\nAnswer: -143330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*t + 301*t = 13959 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4)*i**(-2))\/(i**18*i\/(((i*i**(-1\/13)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-235\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naj when three letters picked without replacement from {a: 8, n: 3, j: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t - 3. Let v(i) = 6*i**2 - 26*i + 16. Suppose y = -y + 32. Determine y*h(f) + 3*v(f).\nAnswer: 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/38)\/((-8340)\/120)?\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30300000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 9:07 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 19*a**7\/210 - 4*a**3\/3 + 9*a**2. What is the first derivative of b(n) wrt n?\nAnswer: 76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 978*j**3 + 951*j**2 - 7836*j - 11700.\nAnswer: 3*(j - 3)*(j + 2)**2*(j + 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:39 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 41 + 9. Let w(s) be the first derivative of 0*s**2 + s**3 + 0*s**f + 0*s**5 - 2\/3*s**6 - 5 + 0*s. Find the third derivative of w(x) wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d. Let v(x) = x**2 + 4717*x + 2. Give v(a(h)).\nAnswer: 64*h**2 + 37736*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) -794 (d) -2\/137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**24\/(s\/s**24)*s**(2\/21)\/s*s**(-9))**36 assuming s is positive.\nAnswer: s**(9348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 0.9. Let s = 40 - 81\/2. Which is the third smallest value? (a) -1\/10 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 14972 = -5*o, -3*o + 0*o = -2*g - 8987. Suppose 4*n + 831 = o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -231, -353?\n\"Answer: -122*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803*y + 613*y = 37094 + 11115 + 48431 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*r + r - 18, -2*x - r + 3 = 0. Let s(d) = 3*d - 3. Let k be s(x). Calculate the greatest common factor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*z - 34, -z + 5*s = 3*s - 4. Let n be (-14)\/(-1) + z\/(16\/(-4)). Solve -p + 4*p - n = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 419, 646, 889, 1154, 1447?\nAnswer: 1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*(-2 + sqrt(300))**2 - (2*sqrt(300)*-3)**2) + (sqrt(300) + sqrt(300)*3 + -3 + (sqrt(300) - (2 + sqrt(300))) + -2)**2 + 5).\nAnswer: 800*sqrt(3) + 14324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-1)*(-13)\/((-182)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3216 divided by -1072\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -7 + 2 - (13 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 5176*d**3 + 1674432*d**2 + 5176*d - 1674436.\nAnswer: 4*(d - 647)**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3217156, 6434313, 9651470?\nAnswer: 12868627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190164 - 7271580 = -48*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5269135829.\nAnswer: 4093, 1287353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4 + 24*b - 9 as r + v*b and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8170035 by -5.\nAnswer: -1634007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 28. Let b be o(12). Solve 4*d = -4 + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 703 + -197. Let h = -390 + i. What is the greatest common factor of 8 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2187*j - 6564. Give x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 + 7*d + 4. Let g be v(-5). Let m = g + 15. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(40)\/sqrt(2)*2)\/sqrt(10))*-4)**2.\nAnswer: -256*sqrt(2) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 131*r - 665. Let w be f(-5). What is the greatest common factor of 225 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034*j**3 - 363*j**3 + 1092*j**3.\nAnswer: 1763*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 85, 1, -26, 8620 in decreasing order.\nAnswer: 8620, 85, 1, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s + 2. Let d(k) = -574 + 585 - 19*k + 85*k. What is -2*d(w) + 11*t(w)?\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*0\/(-7)*1\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*p + 82*p - 10*p**2)*(2*p - 4*p - p) + (-p + 0*p + 3*p)*(2 - p**2 - 2) - p**3 - 2*p**3 + 2*p**3 - p**3 + p**2 - p**2.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let m(h) be the third derivative of h**5\/30 + 2*h**2. Give i(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 34. What is the closest to 1 in 2\/13, h, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 13. Let s be c(-4). Suppose -3*u = -6, 2*w + 3*u + 12 = 28. Solve 4*t + z - 1 = -8, t + s = w*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Suppose k*j = 3*j - 30. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 + 42840?\nAnswer: 42878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 28*j**2 + 585*j + 5366. What is g(-9)?\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 - 15 = -3*y, c - 18 = 2*y. Let p(i) be the second derivative of -i**5\/20 + 3*i**4\/4 - 3*i**3\/2 - i**2\/2 - 2*i. Determine p(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17407 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 2*o**2 + 2*o - 2. Let q(m) = -35*m**3 + 25*m**2 - 25*m + 25. Let b = -1726 - -1728. Give b*q(a) + 25*s(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -385, -660, -935?\n\"Answer: -275*m + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004329013 rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 324018587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*1*-1*20. Put 5, -2, o, -0.4 in decreasing order.\nAnswer: o, 5, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1300) + (sqrt(1300) + 2)**2 + (sqrt(1300) + (sqrt(1300) + sqrt(1300)*2)**2)*-1.\nAnswer: -10393 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.08 - 12.38. Let p = x - -9.9. Which is the third biggest value? (a) p (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43043093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -42, -104, -170, -240, -314, -392?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**6\/60 + 3*w**5\/10 + 9*w**4\/4 + 9*w**3 + 2*w**2 + 4*w. Let g(y) be the first derivative of r(y). Factor g(a).\nAnswer: 2*(a + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1571502 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -388*p**6 - 11*p**5 + 6304*p**2 wrt p?\nAnswer: -46560*p**3 - 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:38 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -961 + 1190*t**4 + 2241*t**4 - 503*t**4 wrt t.\nAnswer: 11712*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.31269675 (c) 2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 454 = -6*m. What is m rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:43 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {c: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 3*z**3 - z**3 + (-1 - z + 1)*(12 + 6*z**2 - 12).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25120629?\nAnswer: 3, 2791181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2191, 4557, 6923, 9289, 11655, 14021?\nAnswer: 16387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-140) - (-529)\/(-5290).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64721 and -95491.5301.\nAnswer: -160212.5301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 176440542 * 0.2\nAnswer: 35288108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/35)\/(16\/14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18711905.\nAnswer: 5, 1009, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(65) - 1*sqrt(65)) - (sqrt(65) - (sqrt(65)*2 + sqrt(65))*6))\/(sqrt(60)\/(sqrt(60)\/sqrt(5))*-1).\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2304 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millisecond in microseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**6\/240 - d**4\/16 + d**3\/6 + 39*d**2. Factor b(r).\nAnswer: (r - 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 5\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25870, -25942, -26062, -26230?\nAnswer: -26446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -19*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-55)\/(-66))\/(20\/76) - (19 - 16))*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.69877 hours in nanoseconds?\nAnswer: 286915572000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-9))\/(-4 - 115\/(-30)). Solve -2*b = -d*f, 3*b - 3*f = 4*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose -s*m = m. Let q(r) = -r + 2. Let h be q(m). Solve 0*a + z = -a, 0 = h*a - 2*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.251773 to one dp.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - h)*((-6 - 3 - 2)*(-2 - 1 + 1) + 7 - 11 - 20).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uuuruuuuuuuuu.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a (base 14) in base 12?\nAnswer: 82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 340 or 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137 and 49?\nAnswer: 6713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**3 - 12*b**2 - 12*b - 10. Let m(g) = -4*g**3 - 6*g**2 - 6*g - 5. Let u(t) = -7*m(t) + 3*r(t). Let k be u(-5). Let w = -19 - -359\/19. Is k != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 11*t + 13. What is the biggest value in 4\/5, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/840 + 5*n**4\/12 - 4*n**3\/3 - 16*n**2. Let a(k) be the first derivative of g(k). Differentiate a(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-29)\/(v**(-7\/3)\/(v\/v**(1\/6))))\/((v*v*v\/(v*v*v*v\/(v\/(v\/(v*v**(1\/2))))))**(4\/9)*v**(1\/3)\/(v*v**(-5\/2))) assuming v is positive.\nAnswer: v**(271\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 7 + (2 - -1) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 2*s + 717, 5*h - 2*s - 1195 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.06, -11\/4, -35\/83 in descending order.\nAnswer: 4, 0.06, -35\/83, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-2))**(5\/9)\/((y\/((y*y**(-1\/4)*y)\/y))\/((y\/(y\/(y\/y**24)))\/y)) assuming y is positive.\nAnswer: y**(-853\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x + 19. Let r be s(0). Solve r = f - 3*j, -3*j - 11 = -0*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1001735 minutes?\nAnswer: 6010.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2 - 5*b + 3*b**2 + 1 - 2. Suppose -3*l = -5*d + 17 + 5, -5*d = 5*l + 10. Give g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-1)\/(-3)*-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 10. Let r be q(-8). Suppose r*f = 2*f + 8. Suppose -164671 = f*b + 1555329. Round b to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4 + 4 + -1. Let c(j) be the second derivative of 1\/15*j**4 - 2*j + 1\/15*j**3 + 1\/105*j**7 + k - 1\/25*j**5 - 1\/5*j**2 - 1\/75*j**6. Factor c(f).\nAnswer: 2*(f - 1)**3*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - j**3 - 3*j**3 + (0 - 3*j**2 + 0)*(-3*j + 1 - 1))*(36 + 0 - 7).\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/12 and (-8271)\/2322 + (-3 + 4 - -3)?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 65\/2*t**3 - 149*t**2 + 2 - 134*t. Find the first derivative of f(n) wrt n.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*b**3 - 137*b + 137*b - 259*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 4011 + 2*v**3 + 1594 + 1207 + 1210.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*h**2*m**5 - h**2*m**2 + 208*h*m**2 + 2*m**5 wrt m.\nAnswer: 4140*h**2*m**2 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:31 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02369 and 1.12.\nAnswer: -0.0265328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -j - 2*p, 5*p = -j - 8. Suppose 0 = -i + 2*l - 34, j*i + l = -l - 38. Let m be 3\/i*25 + 3. Is m <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69599668561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -59, -56?\n\"Answer: 3*o - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/57*((-9108)\/621)\/((-2)\/3).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26\/((p*p**10\/p)\/p))\/((p*p**26)\/(p\/p**18)) assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:58 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*q**2 - 4 - 98*q**2 - 3*q - 15 - 2*q**3 + q to the form m + b*q**3 + j*q + y*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258 * -7.\nAnswer: -1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 + 7 - (1 + (2 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 155 = -w - 0*w, -3*w - 5*g + 395 = 0. What is the third derivative of w - 140 + 13*f**2 + 14*f**6 wrt f?\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 351*m + 3.\nAnswer: -351*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 266760 divided by 1235\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 555 - 525 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.1. Let h = 387 - 389. Put 2, h, 4, z in increasing order.\nAnswer: h, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j - 6 + 6)*(-17 + 23*j + 17) + (5*j - 3*j - 4*j)*(-j + 3*j + 0*j).\nAnswer: 525*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1248 and 8838063?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*d - 16, 2*q = -2*d - 3*q - 21. Suppose 68 = 4*y - 4*g, -3*g + 105 = 5*y + d*g. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + 4.2. Let z(n) = n**3 + 6*n**2 - 3*n + 17. Let s be z(-7). Let u be 2\/2 + s\/(165\/18). Put 2\/7, f, u in increasing order.\nAnswer: u, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. Let r be k(-5). What is the third derivative of 7*x**2 - 6*x**3 + x**3 + 2*x**3 - 6*x**r wrt x?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrp when three letters picked without replacement from pprpmpzprzzrrrzp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*k - 140781 - 48184 - 18209. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 17*o - 6. Let u be g(9). Solve 8*k = 5*a + u*k + 10, 8 = -4*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146991.25 take away 0.2?\nAnswer: -1146991.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16719*p. Let a(z) = -68*z**2 - 4*z. What is a(o(b))?\nAnswer: -19007697348*b**2 - 66876*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 5)*147918\/15. Let s = -1479859\/15 + g. Let j = s - -265\/6. Find the common denominator of 37\/22 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42201 or 42217?\nAnswer: 42217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anx when three letters picked without replacement from ljnnnajxjlrxx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 8*z + 28, 9 = z - 4*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146702 + 91982191\/627. Calculate the common denominator of p and 31\/76.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {w: 5, i: 3, x: 1, e: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -412, -620?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21212020200111 (base 3) in base 5?\nAnswer: 2032141134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w. Suppose 3*u - 143 + 143 = 0. Let y be v(u). Solve -5*l + i - 9 = y, 5*l = -i - 0 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c*f**2 - 1354*c + 2*f**2 - 4130*f wrt c.\nAnswer: 7*f**2 - 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221766 is divided by 420.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/(2\/9). Let i be -5 - -5 - h\/(-2). Let l be i\/(-2)*(-8)\/(-9). What is the nearest to 2 in -1\/7, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8091 is divided by 2692.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -12*i - 17. Calculate f(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10645402909 - 5.\nAnswer: -10645402914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/4 + 1)\/((-255)\/136). Which is the second biggest value? (a) j (b) -11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.2. Let k = -74.23 + 1.23. Let f = k - -68. Which is the closest to y? (a) 0 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than 0.070090400655?\nAnswer: 0.100090400655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 2225 = p - 7*d, 2*d = 8. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.3 (c) 145 (d) 5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 0)*(-2*m + 2*m + 2*m) - 15*m + 1393 - 1393 + (-1 - 2*m + 1)*(0 - 1 + 0) in the form b + k*m and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -652194 from 19.\nAnswer: 652213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -118*x + 46*x. Let z(r) = -r**2 - 9*r - 5. Let s be z(-5). Solve j = x, 3*g + 2*j = -3*j + s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1171121 and 28.\nAnswer: 4684484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/161 and 41\/138.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6))\/(286\/1001)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 1078?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*c + 3, -2*b - 5*c = -649 + 636. Put b, -7, -43 in ascending order.\nAnswer: -43, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 2*i + 3. Suppose -2*d = -5*j - 18, 5*d + 30 = -5*j + 5. What is m(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/28)\/((-2232)\/(-7812)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22297910 is divided by 2229789?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -402950, -402949, -402948?\n\"Answer: q - 402951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o**2. Let r(u) = -35*u. Give m(r(l)).\nAnswer: 7350*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q + 1. Let t be g(1). Is 12\/20 + 24\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2850 + 2859. Solve p*q = -q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -0.0552774720108?\nAnswer: 1.0552774720108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:56 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -170.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -1\/5, -0.8 in ascending order.\nAnswer: -0.8, -1\/5, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 2)\/(30*(-23)\/5750). Solve 0 = -22*c + 27*c + n, 31 = x - 5*c for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j = -2*l + 14, 3*j = l + 2. Let w be (-21)\/(-2) - (5\/j + -3). What is the greatest common divisor of w and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/70)\/((-54)\/(-378))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 17*g = -2*j + 16, 2*g = 4*j - 12. Suppose 0 = -2*x + j*x - 4. Solve x*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -168. Let f = 114 - 49. Suppose 5*u - f = 5. What is the remainder when a is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15695721 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022958 to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46000?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 6*i**2 - 2*i**3 + 6*i + 6 + 3*i**3. Let q be t(-5). Suppose -5*a + 3 = -x, 2*x + 2*a - q = -0*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -278, -0.5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-25))\/((-4)\/(-20)) + (3 - -1). Solve -12*b + 15*b - 3 = -3*h, 0 = 4*b + o*h - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/25)\/((-162)\/(-540)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176))**2 + -3 + -4 + ((sqrt(176) + 1 - sqrt(176))**2 - sqrt(176)) + 3.\nAnswer: 4*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -66\/1712993?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887395816 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -919.8 - -877.8. Let v = 163401 - 163359.0092. Let g = r + v. What is g rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100110001011 + 1100?\nAnswer: 1111100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 - 86. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -5*f - 4, -3*l = f - 5. Let r be (1\/f)\/((-1)\/(-6)). Suppose -i + r*i = 4*v - 26, -17 = -3*v + i. Solve 4 = -v*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-7 - (-4 + 65\/11)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 2*d - 1. Let n be v(-3). Suppose n*l = 24 - 10. Suppose l = 3*f + 5*c, 5*f + 3*c - 6 = 27. Calculate the smallest common multiple of f and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188*(-3)\/(-6) + (3 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 155311, 310614, 465915, 621214, 776511?\n\"Answer: -n**2 + 155306*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4425)\/96 + 102\/1088?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12282788 divided by 7?\nAnswer: 1754684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:03 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 0 = -z*t - 2*r + 106, -2*t + 84 = 3*r + 21. Suppose -4*j = -20, -5 = 2*a - 4*j - 123. What is the remainder when a is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + (-15 - -2 - -19)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/(-39) + (-2)\/(-3) and 33\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*c + 1597 = 1012*c - 613 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1137 - 1106 + 2*t**4 - 1128 - 19*t - t**4 - 2*t**2 + 3399 as i*t**4 + m*t + q*t**2 + f*t**3 + u and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(2\/1)*(-100)\/20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7066?\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m + 4*m - 34 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w + 56. Let n be z(6). Solve -12*a - 1771 + 1771 + a**n = 0 for a.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 - 4*r**2 - 4*r. Let a(q) = -q**2 - q. Let n = -156 + 154. Let l be 15\/(-24)*-2 + n\/8. Determine l*d(u) - 4*a(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1432 or 1541?\nAnswer: 1541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234*w**3 - w**2 + 9*w wrt w.\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 2. Suppose -4*h + 7*h - 9 = 0, 4*k + 17 = 3*h. Let z be 6\/((26 + -9)\/(-17)). Let q(a) = -a - 1. What is k*f(g) + z*q(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-20))\/(2\/8). Let c be 6 - i\/((-12)\/16). Solve -c*o = 2*a + 4, 2*a - o - 2*o + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*a + 122*a = 5352 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 4*q**2 - 3*q**2 + (0 + 2 - 1)*(2*q**2 - q**2 - 3*q**2) - q**2 - 2*q**2 + 2*q**2 - 3*q**2 - 3*q**2 - 8*q**2)*(112*q - 112*q - 21*q**3).\nAnswer: 336*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - 152. Suppose 0 = -2*j + m - 71, -2*j - u = -0*j + m. Round j to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 - 43*r - 162. What is the least common multiple of 140\/21*48\/5 and c(-3)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869826381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(-2)*(-532)\/456.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1108*z + 17710. Determine l(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2504291 to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1841815282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 19*c**2 + 31*c - 67. Give i(-16).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let d(y) = 9*y + 9. Let v(r) = -d(r) - 6*q(r). Let w be v(-4). Suppose 3*s - 7*s - 4*t + 56 = 0, w*t + 18 = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -717, -1334, -1951, -2568, -3185, -3802?\n\"Answer: -617*z - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/90)\/((-3955)\/210 - -19)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/41)\/x)\/x)\/x*x*x*x**(4\/17)*x*(x\/((x*x\/(x**(-20)*x)*x)\/x))\/(x\/((x\/((x\/(x\/(x\/(x\/x**22))))\/x*x))\/x*x)) assuming x is positive.\nAnswer: x**(-29144\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157414480.\nAnswer: 2, 5, 83, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = o, -5*o + 7*f - 3*f + 142 = 0. Let r(u) = -o*u + 53*u - 19*u**2 - 23*u. Let d(a) = 5*a**2. Calculate r(d(h)).\nAnswer: -475*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**44\/(n**(2\/7)*n))\/(n\/(n\/(n**26*n))*n**(1\/40)) assuming n is positive.\nAnswer: n**(4393\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (3 - -4) - (-10 - (-8 + 9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 8. Let b(h) = 0*h - 4*h + 0*h + f*h + 1. Give b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25558*i*p - 27282*i with respect to p.\nAnswer: 25558*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1748 - -1753. What is the nearest to -2 in -7, -1, 1\/3, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/20 and -85\/6883754.\nAnswer: 68837540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 45 - 61. What is the nearest to q in 5, -0.1, -0.3, 19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12351 - 34044?\nAnswer: -50435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -14.7982, 0.34 in descending order.\nAnswer: 0.34, -1\/6, -14.7982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - -4*sqrt(342))\/((sqrt(22)*-1)\/sqrt(11)))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98 and 39?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2985 - -2987. Factor 25\/3 + 1\/3*m**g + 10\/3*m.\nAnswer: (m + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v*v**(-1\/6)*v)\/v)))\/(v\/((v**(-9)*v)\/v)))\/((v**(-3\/8)*v*v)\/v*v**(-6\/5)) assuming v is positive.\nAnswer: v**(-1031\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 5*l - l - 2. Let t be d(2). Let k = t - -27. Round k to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 20*s - 101\/5.\nAnswer: (s - 101)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134518.8 centuries in years?\nAnswer: 13451880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/239982 and 25\/5532558?\nAnswer: 204704646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*w + 29791 = 2*s - 245*w, 0 = s + 3*w - 14868. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g**2 - 1)*(4*g**2 + 2*g**2 - 4*g**2) - 4*g**4 + 0*g**4 + 3*g**4 + g**4 - 4*g**4 - 2*g**4.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-4)\/3*(-32)\/(-5376)*28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6 + 6*d + d**2 - 8 to w + v*d**2 + i*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -37\/2, 3, -0.1, -1\/4 in ascending order.\nAnswer: -37\/2, -13, -1\/4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1007 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -2. Solve 0 = 4*t - 28 + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80899524*a**2*h - 2*a*h**3 + 899423913*h**3 wrt a.\nAnswer: -161799048*a*h - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17433*i**2 - 5*i + 4*i**3 - 17431*i**2 - 2*i**4 + 25 + 3*i to the form w*i**3 + n*i + b*i**2 + h + a*i**4 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 60. Suppose 3*c - 3*q + 97 = 5*c, c + 5*q - i = 0. Let k = c + -44. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 837*c + 14. Let n be o(1). Let p = n - -26. List the prime factors of p.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = -70 - 128 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 6*x**2 + 10*x - 25. Give j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76\/5 - 15. Suppose -4 = 5*u + 11. Let x = -0.2143 + 0.1143. Which is the closest to g? (a) 5 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*k + (31 - 2 + 28)*(11*k + 13*k - 8*k) + 2 - 2 - 2*k.\nAnswer: 912*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 816142781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 3 + 0*o + 4\/3*o**3 + 1\/4*o**4 + 1\/2*o**2. Determine x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83480.652 - -83837. Let a = 357 - m. What is a rounded to 2 dps?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 11*g**2 - 9*g + 14. Let n be o(-10). Suppose -n*l + 4*t = -116, 5*l = -4*t + 8*t + 144. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8965*s - 598 = -8991*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*m - 86*m = 0. Suppose m = 4*y - a + 3*a - 130, -98 = -3*y - a. Suppose 49 = s - y. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (0 + sqrt(5))*5 + sqrt(5) + sqrt(20) + 1 + sqrt(5) + sqrt(5) + 4))**2.\nAnswer: 640*sqrt(5) + 2256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231 - -215.7. Let j = 15 + f. What is the second smallest value in -2, j, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -131. What is the units digit of w\/8*16\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1975370 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -627*m + 632 wrt m?\nAnswer: -627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12240123 (base 5) to base 6.\nAnswer: -2311015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8123704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-504))\/(((-3)\/18)\/(-1)). Do -100 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 726950?\nAnswer: 2907800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 23. Let u(i) = i**2 + 6*i + 10. Let z be u(o). Sort -3, 4, z in descending order.\nAnswer: z, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 62708120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 17 - 2\/(2*8\/64).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/18 and 23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21330380*u**3 - 409*u**2 - 7305.\nAnswer: 127982280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 3043, 11102, 27159, 53968, 94283, 150858, 226447?\nAnswer: 323804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/2)\/(-67 + (-3724)\/(-56)). Let u = -3 - -3.5. What is the closest to u in 3\/5, q, -5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 614.99999739 + -615. Round t to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.9. Let b = 4.1 - -0.9. Sort x, -1, b.\nAnswer: -1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/19 in -1\/9, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383603?\nAnswer: 11, 43, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ca4 - 0?\nAnswer: 1ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0 - 12, 5*o - 3*l + 71 = 0. Let t = -8 - o. Suppose -3*v - 8 = -2*x, 2*x + 4 = 2*v + 12. Solve n = m + 6, 2*m + v*n = -3*n + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:25 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*q - 1814*q**2 - 158*q + 1805*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 3\/8*o**4 + 5*o**2 + 0*o + 0 + 2\/3*o**3. What is the units digit of q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101560*b**4*l*y + 5*b*l*y - 2*b*l + l*y - 16*l - 61*y + 147 with respect to b.\nAnswer: 406240*b**3*l*y + 5*l*y - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, i: 1, k: 1, f: 1, j: 6, a: 3}. What is prob of sequence ka?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsffsfsffsfsf. What is prob of sequence sfs?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - -3*16\/12. Let g(k) = 2*k + 8 - 10*k + a*k. Let h = 84 - 89. Calculate g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 7. Let t(h) = 13*h + 13. Suppose 3*i - 2*d + 29 = 0, -25*d - 4 = -23*d. Determine i*o(b) - 6*t(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 25, 41, 59, 79, 101, 125?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2792 - 720. List the prime factors of u.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/180 - 17*n**4\/6 + n**3\/3 - 115*n. Let v(x) be the third derivative of q(x). Let o(c) = 7*c. Calculate v(o(b)).\nAnswer: -686*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19153*r + 858. Let j(w) = 4941475*w + 221221. Let f(n) = -1547*d(n) + 6*j(n). Let l(u) = -2*u**2. Calculate f(l(i)).\nAnswer: -38318*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 10 + 8*w**3 - 1380*w**2 + 1373*w**2 - 9*w**3. Determine z(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 9:28 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 222\/9 - 12\/18. Let t(w) = 2*w**2 + 4*w + 4. Let x be t(5). Let a = 110 - x. Calculate the greatest common factor of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 + 14*y**3 - 24*y**2 - 56*y + 64 = 0 for y.\nAnswer: -8, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-2)\/(-5))\/((-1)\/45). Suppose 11*z - 38 = -s. Let f(i) = -33*i + 2. Give f(z).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 26 = 22. Let m(h) = 25*h - 262. Let s be m(10). Is d != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3889e (base 16) to base 11\nAnswer: 148a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646455 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 1. Let y(g) = g. Let u = -559 - -556. What is u*y(c) - l(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 0.38\nAnswer: -10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 13*o**2 - 9*o + 5. Let h be v(7). Are 333 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 91 (b) 1 (c) -0.9 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137513 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.37 - 5.37. Which is the third biggest value? (a) w (b) -49 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, 2\/3, -1\/2, -5\/2, -0.04, 354, -14?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1900) + 1 + 2)**2.\nAnswer: 20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1209)\/6448 - (-1 + 333\/(-240))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -52. Let v = 49 + -48. Calculate the remainder when s is divided by 46\/2 - (4 + v + -3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 2*a**3 + 0*a**2)*(-4*a - 2*a - a)*(-5 + 2 + 0).\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152115832.\nAnswer: 2, 11, 863, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 587244701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1978*v**3 - 45346*v**3 + 24099*v**3.\nAnswer: -19269*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 10*s + 9. Let g be o(-9). Let p be 104\/g - 8\/(-36). Is p\/(-27) - (-443)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12269, 24517, 36765, 49013, 61261, 73509?\nAnswer: 85757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3438, 3464, 3490, 3516, 3542, 3568?\n\"Answer: 26*w + 3412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*y + y. Let p = 2009 - 2007. Suppose 0 = q - p*o - 13, q + y*o + 1 = -0. Let u(d) = 13*d**2 - 1. Let s(z) = -3*z**2. Calculate q*s(m) + 2*u(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15*(7446 + -7161)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r + 1398 = -54*r - 870 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 - -4.89. What is the closest to 0 in -4, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxb when three letters picked without replacement from {x: 1, e: 1, w: 1, b: 1, d: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3045 divided by 21.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*120\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3100603 (base 7) to base 13.\nAnswer: cc586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let g(y) = y**3 + 7*y**2 - 9*y - 5. Let m be g(-8). Let z(i) be the first derivative of -2 + m + 3*i**2 - i**2. Determine z(t(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awda when four letters picked without replacement from {w: 12, d: 1, a: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338002*w**3 + 459295*w**3 + 960360*w**3.\nAnswer: 1757657*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -12*z - 38. What is the biggest value in -1\/5, -1.3, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a - 1. Let f be s(-2). Suppose -2*j + 3 = 3*v + 10, -f*j - v + 15 = 0. Solve 16 = 2*d + 4*k, -j*d - 3*k + 11 + 1 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32 - (-1)\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8507 and 125.\nAnswer: -606.3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-5) + (1 - 6). Let k be -2 + ((-15)\/20 - 47\/j). Let q(m) = -m + 7. Calculate q(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 232 = -2*m, -2*j - 5*m = 50 + 50. Let k = 156 - j. Calculate the highest common factor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 56. Let c = -189.837 + 189.537. Sort 1, q, -2\/13, c in ascending order.\nAnswer: q, c, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - t - 5, -3*c - 25 = -8*c + 5*t. Let k be (-2*(-1 - c) - -2)*17. Suppose -5 = -5*z, z = r - 3*z - k. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.3. Let x = -6.1 + 6.4. Put d, x, -5\/2 in increasing order.\nAnswer: -5\/2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158 and 10543656.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4275 (base 12) to base 6\nAnswer: 53425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6 - 6 = -4*q, 0 = 4*q + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/3390 and 167\/32550?\nAnswer: 3678150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 - 117211*f**2 + 468848*f - 1406548\/3 = 0.\nAnswer: -351637, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -49. Suppose 18*a - 21*a + 378 = p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-150)*(251415\/74)\/151\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 731 + 656 = 5*m, -4*n + 6*m = -50 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 1140*x**2 + x - 1156*x**2 - 39 to h + l*x + f*x**2 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -36. Find the third derivative of -10*z**4 - 21*z**4 + t*z**4 - 13*z**6 + 13*z**2 wrt z.\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f, 4*t + 0*t - 3*f - 238 = 0. Suppose -v = 5*c - 39, -4*c + 17 = -3*v + t. What is the remainder when 35 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 104\/(-36))*(-9 + 3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, -54 in decreasing order.\nAnswer: 1, -1, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7775 - 8387 = 51*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 386324 from -0.7.\nAnswer: -386324.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6024 by 3.\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20848229*q**3 - 33751066*q wrt q?\nAnswer: -125089374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1556 - -1547. Is -58\/7 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/630 + ((-430)\/90 - (1 + -6)). What is the third biggest value in 0.5, 4, p, -105?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) 130 (c) -249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 609 + 609 - 892*v - 1216 to the form t*v + z and give t.\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose -4*y + f*y = -122. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000203065 rounded to 7 dps?\nAnswer: 0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -117, -125, -133, -141, -149?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 68926*s**3 - 2*s**4 - 34463*s**3 - 19 - 34447*s**3 as p + f*s**2 + v*s**4 + g*s**3 + j*s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-3) - 2) + -8. Let f(v) = v + 6. Let k be f(r). Solve 2*i = 3*l + 7 - k, 5*i + 5*l = 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2 - 21*i - 15. Let w be p(-6). Let d = -49 - w. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09714905859 to 4 dps.\nAnswer: -0.0971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 999876 to the power of 1\/2, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236931590.\nAnswer: 2, 3, 5, 41231053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let r(h) = -i + 6 - 4 - 5*h. Let m(s) = -3*s**2. Give r(m(a)).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111900422*s**2*z**2 - 29316999*s*z**2 wrt s.\nAnswer: -223800844*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297809 is divided by 12965.\nAnswer: 12579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -3. Suppose j - 30 = -3*r. Solve 0 = r*l - 3*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/((w\/(w\/(w**(-25)\/w))*w)\/w))*w*w\/w**(-20) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*w + 110 - 110)*(-2*w - 4*w + 5*w) - 3338 + 3338 - 36*w**2 in the form l*w**2 + q + c*w and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10382, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, h: 1, u: 3, y: 4, s: 1}. Give prob of sequence sg.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -12*b. Suppose -o - 2*o - 6 = b. Let s be 0\/(0 - (o + 0)). Solve 5*m + 25 = s, -2*y = 2*m - 6*m - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192221 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7648 = 4*c - 2*h, 3834 = 2*c + 8*h - 4*h. Let w = c - 1289. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 3:18 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3 - 12254*x**2 + 16733*x wrt x?\nAnswer: 12*x - 24508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-9 - -95) + 0 + -1 + (-3 - -4).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f + 38*f = 54*f + 92. Solve 21*k - 151 + f = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0 (b) 0.3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18856638\/1169 + 12\/(-21)?\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 36.3. Let w be 2\/(-4) + (0 - -1). Which is the second smallest value? (a) q (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3 - 7. Let c be (-1)\/(5\/60*-3). Put y, c, -4, 2 in decreasing order.\nAnswer: c, 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71818 and 21208.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -2 + 236 + -207\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1.6, 3\/5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-9) + 18 + (-1)\/1. Suppose t*r - 95028 - 139739 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/2 + 1340280*l**3 + 1197528114957*l**2 + 356613886469964244*l - 62068946191592088963\/2 = 0.\nAnswer: -893549, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + 0))*2*-3 - ((sqrt(735) - sqrt(15))\/sqrt(5) - (sqrt(75) - (2 + sqrt(75) + sqrt(75)) - sqrt(75) - sqrt(3))))**2.\nAnswer: 68*sqrt(3) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let q(i) = -15*i + 29*i - 12*i. What is q(k(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033812 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j + 0*j - 1 + 4*j. Let f be (-16)\/40 - (-54)\/10. Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41127803713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + ((0 + sqrt(567) - sqrt(567) - sqrt(567)) + -5)**2 + -2).\nAnswer: -1764 - 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -6) + (-2)\/(-29). Sort i, 1, 1\/6 in ascending order.\nAnswer: i, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (1044\/9 - -3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**8\/336 + 3*o**4\/8 + 13*o**2\/2 + o. Let a(n) be the first derivative of l(n). Find the second derivative of a(x) wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798 by -114.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*j + 1. Suppose -4*i = -2*c - j, 5 + 0 = 5*i - 5*c. Suppose -i*w - v - 54 = -173, 2*v + 8 = 0. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412 + -412.524. Let j = -0.224 - y. What is the closest to -1 in 0.13, j, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p - 15. Let o = 840 + -833. Calculate f(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 6 - 11)*(3 - 5 + 4)*(5*q**2 - q**2 - 3*q**2) as d + y*q + n*q**2 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*z + 12*l + 26, -z - l - 7*l = 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -867. Let h = i + 659. Let g(s) = -5*s. Let o(k) = 0 + 0 + k. Calculate h*g(a) - 9*o(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-13 - -12) + 84 + -83 + 44\/16.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2618*w**2 - 2618*w**2 + 2*w**3 + 92*w.\nAnswer: 2*w**3 + 92*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - t = 67, 4*d + 2*t - 9 - 105 = 0. Let k(h) = -13 - 5*h**2 - 2*h**3 + 3*h**3 - 2*h**2 + 3*h**2. What is the remainder when k(6) is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1223, 1229, 1247, 1283, 1343, 1433, 1559, 1727?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a - a**3 - 72*a - 332 + 38*a.\nAnswer: -a**3 - 332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14) + (-202)\/(2\/11 - 1716\/121).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.47 + 0.12. Let i = 1.65 - l. Let n(h) = -2*h - 3. Let c be n(-1). What is the second smallest value in 20, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02812 and -3.59.\nAnswer: -0.1009508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:47 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from hafmn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + d - 98 = -o, 2*o + d + 208 = 0. What is the lowest common multiple of 14 and 1\/(2\/o)*78\/(-117)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1 + 0*a + a + 0. Let r(k) = 4*k - 2. Suppose 6*f + 4*z + 10 = 3*f, z + 4 = 0. Let c = 3 - f. Calculate c*r(j) - 2*t(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*-1*sqrt(648))\/((sqrt(144) - ((sqrt(144) - (sqrt(144) + 5*(2*sqrt(144) + sqrt(144))) - sqrt(144)) + sqrt(144))) + -2*sqrt(144)*1).\nAnswer: 15*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38935 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**2\/2 - 9045417*t - 27273189567963\/2 = 0.\nAnswer: -3015139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -390877 times 0.1?\nAnswer: -39087.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 210805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3082, 3173, 3264, 3355, 3446?\nAnswer: 3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*l - m + 42, l = 3*m + 25. Suppose 15*h = l*h. Which is smaller: 42 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -223.\nAnswer: 13\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*r + 1483 = -6139 - 3013 - 750 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.68 + 0.92. Let i = -11.574 - 7.852. Let w = i + v. What is w rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308900 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 4*c + 0*c)*(0*c**3 - 4*c**3 + 5*c**3) + 4*c**4 - 4*c**4 - 8*c**4.\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92186386?\nAnswer: 2, 46093193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 72 + -54 - (1 - 0 - -44).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 22. Suppose 4*n = -4*t + 20, i = -2*t + n + 2*n. Let r = 1.2 - 1. What is the third smallest value in r, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y**2 + 5 - 115*y + 14323*y**3 - 3*y**2 - 6 - 14324*y**3 to the form b*y**2 + u*y + i*y**3 + g and give u.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -593, -2246, -4999, -8852?\n\"Answer: -550*t**2 - 3*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.15 - 5.15. Suppose 2*d - d = -5. Which is the third smallest value? (a) d (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.41 - 0.45. Round z to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/4))**(6\/7)\/(((s**(-5)\/s)\/s)\/(s**(-3)*s*s*s)) assuming s is positive.\nAnswer: s**(113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 59*a**6\/8 + a**5\/15 - 89*a**4\/24 + 1582*a**2. Find the third derivative of x(c) wrt c.\nAnswer: 5310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let z(t) = -4*t**2 + 2*t + 16. Let m be z(4). Let b be m\/150*(-2)\/((-8)\/6). Sort 4, j, b.\nAnswer: j, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 116 = -4*o, -64 - 93 = -5*o - 2*w. Suppose -21 = -2*m + o. Calculate the greatest common factor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -324.\nAnswer: -324, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -51?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 3 + l + (3 - 2 + 0)*(2*l - 4*l + 0*l))*(-5 + 5 - l) to the form d*l**2 + x + v*l and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-3 - -1))*5\/(-50). Which is the smallest value? (a) -1.1 (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 (base 11) in base 2?\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 79*q + 386. Let k be s(-5). Let w(f) = 3*f - 12 + 7*f + 2*f**2 + 0. Is 10 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -673962366 - -673962336.99999978. Let k = -29 - b. Round k to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-2 + sqrt(288)*1))**2 + (5*(-1 + sqrt(288)))**2*-5 + -4.\nAnswer: -35836 + 2952*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.467151 days in seconds?\nAnswer: 213161.8464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2083080.9us?\nAnswer: 0.034718015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 4*x + 16 - 4*x**3 + 16 + 10*x as p*x**3 + w + h*x**2 + k*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**2\/2 + 7*l - 5. Let r be q(7). Which is the biggest value? (a) r (b) 4 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4814?\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076508 is divided by 71766?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137497 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 98. Let g be z\/2 - (-35)\/10. Factor -5 + 2*j**4 + 3 - g*j**3 + 2 + 2*j**2.\nAnswer: 2*j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 12*p. Let v = 6 - 1. Let k be ((-32)\/(-40))\/(2\/v). Let t(m) = 9*m**2 - 14*m**2 + 4*m**k. What is t(r(i))?\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 62923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2529 rounded to one dp?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v)**(-37)*((v*v\/v**(-6))\/v)\/((((v**(-4)\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -37442?\nAnswer: 37446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -56651200 to the nearest 1000000.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3177*p - 1245423. Give n(392).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*z**2)*(1662*z**3 + 289*z - 3318*z**3 + 1658*z**3).\nAnswer: -4*z**5 - 578*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82372 - 82372 + 12*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -673, -405, 12 in ascending order.\nAnswer: -673, -405, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -247.2 + 247. Let o = 4.8 + -4. Let s = 0.5 - o. Which is the closest to -0.1? (a) 0.3 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96.7221 + -98.722104. Let s = 5 + -3. Let p = m + s. What is p rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659\/111 + 47\/((-1175)\/375)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1677, 3, -3 in descending order.\nAnswer: 3, 2, -3, -5, -1677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87764703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 - 2.1. Let n = -0.6 + -1.3. Let d = n + 2. What is the closest to -1\/2 in d, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 838920803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (654\/15)\/((-12)\/(-390))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*c**5 + 121*c wrt c?\nAnswer: 1520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - 208*p + 37. Give z(30).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115238 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let q be u(3). Let z = -19.07 - -20.07. What is the nearest to z in 5, 0.7, q?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178897, 357784, 536707, 715684, 894733, 1073872?\nAnswer: 1253119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593 a factor of 172704172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) - sqrt(816)\/sqrt(3))**2*3 - (sqrt(187) - (sqrt(187) + 4*(sqrt(187) + -1*sqrt(187))))\/(3*sqrt(44)\/sqrt(4)).\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011 (base 2) in base 8?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005964 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, i: 1, c: 2, t: 1, q: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4684*j + 4367 = 215147 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/40 + 77\/120. Let q(w) be the second derivative of 0 - 5\/24*w**4 + 2*w + w**2 - z*w**3. Suppose q(x) = 0. What is x?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728 + 1127. Suppose -g = -5*r - 384. Let n be -1*0*1\/1. Solve -7 = -r*c - n*d - 2*d, 3*d + 37 = 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-242)\/44*-21*(-12)\/(-18)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-42))\/(3*(-133)\/63).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-20)\/25)*(-2)\/2. Suppose 0 = -y + 5, d*y + 75 = u + 3*y. Suppose 5*o = u + 270. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:12 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 6. Let n be h(6). Suppose -n = -4*c - 6. Let y(g) = 6 - 11 - 4*g**2 + c. Let q(b) = b**2 + 1. Calculate 2*q(r) + y(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-325 - 17)\/18 - -34. Let u(q) = -q**3 + 17*q**2 - 31*q + 7. What is u(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*j - 59*j + 16*j)*(4*j - j - 4*j).\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 225 = -45. Suppose 0 = -11*x + 3*x + 8. Let q be (30\/18)\/x*6. Calculate the greatest common factor of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2919075l to millilitres.\nAnswer: 291.9075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 25. Calculate the least common multiple of 2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -m + 3*x, -3*m - 1314*x = -1315*x - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307904286.\nAnswer: 2, 3, 103, 498227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ppptpttppp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 930251662 to the power of 1\/2, to the nearest integer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**5 + 9166*o**3 - 327341*o**2 wrt o.\nAnswer: 180*o**2 + 54996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, v: 1}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -9. Let o = 4 - s. Suppose 2*y = -2*g + 34, y + o = 2*g + g. What is the remainder when 40 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p*s**6 + 2*p + 69*s**6 + 242*s**2 wrt s.\nAnswer: -120*p*s**3 + 8280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 8*g + 36)*(-1 + 0 + 0) + (g - 1 + 1)*(-1 + 2 + 0) + 2 + 6*g - 2.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-216495)\/(-675))\/((-1)\/6)*(-5)\/2?\nAnswer: 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f = -72. Let j be (f\/15 + 1)*-5. Is j\/2*70\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 502 or 487?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 + 2*p**2 + 2*p + 1. Let b be t(-1). Let c = 6 + b. Suppose c*j = w - 3, 5*w = -4*j - 3 + 4. Sort 1, j, -2 in descending order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.99 + 42.01. Let j = l - 43. Sort -3\/4, j, 1\/3, -1\/5 in descending order.\nAnswer: 1\/3, j, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/6 + (-6)\/(-18). Let k be 150\/(-35) - (-4)\/(-42)*-3. What is the units digit of a - (-3 - k)*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 - -2?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - (-546)\/117. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24259 is divided by 426.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 11*n. Let i(a) be the second derivative of -18*a + 1\/2*a**4 + 0*a**2 + 0*a**3 + 0. Determine g(i(o)).\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1058b (base 14) to base 2\nAnswer: -1001101001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 26*c - 1299. What is a(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -28. Let m(l) = l**2. Let t(o) = 3*o**2 - 5. What is z*t(g) - m(g)?\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -168\/149, -5, -0.08 in ascending order.\nAnswer: -5, -168\/149, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262121 rounded to the nearest 1000?\nAnswer: -1262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + 0 + 1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/36 - 7\/36. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by (6\/(-5))\/((-66)\/(-165)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3115620 by 180.\nAnswer: 17309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11484349 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -2\/5 (c) 4\/7 (d) -3.2833 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 22*k - 4. Suppose -2*o = 2*o - 8. Let g be -1*-6*o\/(-66). Which is the nearest to -2? (a) k (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 - 3 = -21*d - 14 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 6*r**2 - 2 - 7*r**2 + (0*r + r - 3*r)*(2*r + 0*r + 0*r).\nAnswer: -5*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -5*q**4\/12 + 11*q**3\/6 + 300*q**2. Let c(k) = -3*k + 4. Calculate -11*c(y) + 4*r(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 91*o - 15. Is 21 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2418301 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2082*s**2 - 27*s + 58*s - 2715*s**2 - 33*s. Let b(n) = -3*n**2. Calculate m(b(z)).\nAnswer: -5697*z**4 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -4281170?\nAnswer: -4281173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2)\/3*-1. Suppose -z*h + 6 - 2 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2916 and 0.04.\nAnswer: -116.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 0, 0 = 3*z + z + s - 356. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g - 1107 = -270. Calculate the remainder when 104 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245*d**2 + 53*d**2 - d + 1724*d**4 - 936 + 936 wrt d?\nAnswer: 41376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 31*x - 8. What is the remainder when z(2) is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(1\/3)\/j)\/j)**(-2\/11)*j**(-6\/5)\/(j*j**(2\/19)))**(-42))**39 assuming j is positive.\nAnswer: j**(3427242\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758956?\nAnswer: 2, 17, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000068765 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let q(i) = i - 4. Let u be q(7). Let z(v) = 0*v - u*v - v + 6*v. Give z(w(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -63. Let g be 14\/z - (-13)\/5. Suppose -69 = 5*b - g*p, -3*b = -p + 5*p + 53. Is -15 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/21*(-135)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 12. Suppose 9*j - 4*j - 14 = 2*s, -t*s - 4*j = -25. Let a be (-2)\/(-6) + 11\/s. Solve m = 4*i - 3, 5*i + 2 - a = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333314791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1759 is divided by 1268.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 9*k**2 - 8*k + 13. Let b(n) = n**3. Let q(i) = 4*b(i) + r(i). Let y be q(-10). Is -7 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 262, -3\/11, 5 in descending order.\nAnswer: 262, 5, -3\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 15356?\nAnswer: 15354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 - 17156*z + 17766*z - 593 + 5*z**2.\nAnswer: 5*(z - 1)*(z + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 - k**4 + 5*k**3 + (-2*k**3 + 0*k + 0*k)*(-8*k - 3*k + 3*k) in the form j*k + a + x*k**4 + m*k**3 + q*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2876 and 173?\nAnswer: 497548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13886699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 5) + -8 - -1 - (-2 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1016\/16 + 2\/4. What is the highest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1355480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4965*w**3 + 5*w**2 - 8*w - 12. Let a be m(-1). Do -4965 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96832 and 45212?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 76 (b) -5 (c) 1 (d) 2\/3 (e) 0.3 (f) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26712720 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 858796\nAnswer: 8587960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 7*d + w + 15, -4*d = -4*w + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 - 1)*(1 + 3 - 5) - 2 - 3 + 6 - 3 + 6 - 2 + 1 + 1 - 1)*(-81*v + 39*v + 40*v - 2) to i*v + y and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1968000 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1850 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 28 = 3*z, -z = u - 5*z + 20. Let i(x) = -x**2 - x + 5. Let b be i(u). What is the units digit of (6 - 3)*b\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Suppose h - a + 3*a - 19 = d, 45 = 3*h + 3*a. What are the prime factors of 0 + (-2 - -3) + h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 6 - 3*v**2 - 30.\nAnswer: -3*v**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 20488?\nAnswer: 102440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/18 + 66\/(-297)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.5 and 1762586.6.\nAnswer: 1762575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10834, 3, 1\/4, -646?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 + 20*v**2 + 47*v**2)*((1 + 1 - 4)*(2*v + 2*v - 2*v) + (-6*v - 3*v - v)*(-1 + 5 - 2)) to the form y*v + d*v**2 + i*v**3 + l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409702 = 283*w + 2943*w for w.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/24 + 2*q**2. Let v(a) = 0*a - 6*a - 3*a**2 + 6*a. Determine v(y(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173828, 695330, 1564500, 2781338, 4345844?\n\"Answer: 173834*k**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 - 11*o - 23. Calculate g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 105. Let d be p(-34). Suppose 4*b + 5*s + 23 = 0, 0*s = -4*b + d*s + 1. Is b greater than 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1045498 (b) -2\/17 (c) 5 (d) 1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/156 and 101\/182.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 3. Let p be r(6). Let h be ((-114)\/p)\/(4\/6). Let i = h + 131. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by 32\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -8 + h**2 + 0*h + 0*h**3 - 1\/2*h**4. Find m, given that d(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -5\/4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11765 and 1637688.\nAnswer: 8188440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsg. What is prob of sequence gg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28416 + 190896.4?\nAnswer: 162480.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2 - 15*p - 9 + 0*p. Let s(g) = 0 + 2 + g + 3*g. Suppose -2*o + 94 = -14*n, -2*n - 37 = 12*o - 17*o. Give n*x(d) - 22*s(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -128\/3, 25\/9, -0.18, -31?\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4\/3 + 10*j**3\/3 + 5*j**2 - 20*j\/3 - 20\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 90. Let u = d - -57.9993. Round u to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3\/5 - 15*k**2 - 66*k\/5 + 144\/5 = 0. Calculate k.\nAnswer: -24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45 + -44 + (2\/2 - -11). Solve 2*x = -r - 1, -3*x + 5*r = f + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzozzzzozzz. What is prob of picking 3 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 11*z + 8. Suppose -9*l + 27 = 9. Let k(x) = -x**3 + 2*x**2 - 3*x + 5. Let g be k(l). Let w be ((-5)\/(-10) + -1)\/(g\/(-16)). Calculate j(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321455 (base 7) to base 5.\nAnswer: -21022301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*o - 1123*o = -373*o - 580*o - 31500 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {q: 7, d: 5, s: 1}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18168843.\nAnswer: 3, 7, 11, 78653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 8 + 4*o - o - 43. Let p be j(4). Let v(z) = -z**2 + 3*z + 6. Determine v(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 2*y - 3*o - 521, 2*y + o = 215. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b + 11. Let k(m) = 14*m. Determine r(k(j)).\nAnswer: -70*j + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -54, -1010 in ascending order.\nAnswer: -1010, -54, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-24)*(-37)\/((-1110)\/12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/49)\/(-15)*8\/60*5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*a, 2*a + 120 = 5*m - 329. Suppose -21*f - 644 - m = 0. Let n be (-10)\/12 + (-1)\/(-2). Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(17\/(510\/40)*5955\/8). What is the smallest value in -5, g, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 2. Let n be (4\/(-2) + s)*7. Let m be (n + 3)\/(-4) + -1. Solve -2*p + 4*b = m, p + 3 + 0 = -b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -5*p**7\/2 + 22*p**4\/3 - 2*p - 3. Find the third derivative of t(o) wrt o.\nAnswer: -6300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 20 + 8)*(2 - 5 - 9)*(-2*w - w + w) + (w - w + 2*w)*(1 + 1 + 0) - 2*w + 0 + 0 - 1 + 1 + w.\nAnswer: 843*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 - 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2386 - 4a2bc?\nAnswer: -47c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 7139742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -22 + 4. Let t(f) = -2 + f + 0*f - n*f - f**2 + 0*f - 1. Suppose -10 = 3*z + 5. Calculate t(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 6, -2, -41.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.3 take away 0.1?\nAnswer: 80.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1640 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1212*a**2 - 19925 + 19927 - 1226*a**2 + 2433*a**2.\nAnswer: -5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -331, -2492, -8207, -19204, -37211?\n\"Answer: -288*s**3 - 49*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*s + 4967*s + 5730*s - 3233*s + 5599*s.\nAnswer: 12233*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -47. What is the remainder when o is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/5985 and 73\/315?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 2*o + 1. Let w be d(-1). Let t(v) be the third derivative of v**5\/12 + 104*v**2. Let p be t(w). Solve p = -3*l - 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bc913 (base 13) in base 7?\nAnswer: -6030532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48894583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 10186259 in decreasing order.\nAnswer: 10186259, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j - 1. Let o(m) = -8*m + 1. Let p be o(3). Let a = p - -14. Let s(c) = 4*c. Calculate a*s(d) - 2*v(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54959996 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/87 + (350\/3)\/2. Suppose -18*d + l + 31 = 0. Solve -2*f - 33 = -d*z, 3*f + 56 - 19 = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1, 37, 4, -6, 9 in decreasing order.\nAnswer: 37, 9, 5, 4, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95051 is divided by 2318?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14153 is divided by 784.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441054154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y - 54. What is g(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.43461 + 0.06539. What is the second biggest value in 109, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -61*k - 8. Suppose -c - 3 = 2, 0 = -5*o + 4*c + 40. Let m be (o\/(-5))\/(2\/(-60)*-6). List the prime factors of j(m).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(3\/2))\/b*b)\/b*b)**(-4\/7)\/((b\/(b*b\/b**(-13)))\/(b**23\/b*b)) assuming b is positive.\nAnswer: b**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/65 (b) -1 (c) -2632 (d) -2\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.82 times 10\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 7*x**2 - 2*x + 16. Let q be b(7). Solve 5*a - 2*p = -3*p - 10, -a + 5*p - q = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dboobbbbnbbzo. What is prob of picking 1 z, 1 d, and 2 o?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1702, 1702, 1700, 1696?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5 + 63264\/12 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -113, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + 2*sqrt(504))\/(1*sqrt(8)*-5)*5.\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67\/8 (b) 0.07 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2384 and 7760.\nAnswer: 1156240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 26. Suppose -4*i + z = -1. Let w(x) = 2*x**3 + x**2 + x - 1. Calculate the remainder when w(2) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/((-5)\/25). Suppose m - 5*g - 43 = -2*m, 0 = -d*m + 4*g + 44. What is the least common multiple of 180 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*i = -124*i + 7467 + 5557 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-30)\/16)*(-1)\/6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 9\/(-15)*-3. Suppose -5*h = -4*s + 29 + 7, h + 24 = 5*s. Suppose 16 = s*i + 4*n, -n = -0*n - 5. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/21))\/f*f\/f**(-3)*f)**(-1\/28) assuming f is positive.\nAnswer: f**(-103\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78111.57448 + -77894.8. Let n = 216.7 - a. What is n rounded to three decimal places?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 759*x - 33390. What is l(44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r - 5*r)*(-11 + 19 + 56) + 0*r - r + 0*r.\nAnswer: -129*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/4 - 5235*l**2\/4 - 2619*l\/2 = 0. Calculate l.\nAnswer: -1, 0, 1746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 146 = -2*o, -2*g - 5*o + 325 = 28. Calculate the highest common factor of g and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 78 = -59*i. Suppose -8361 = -2*k + i*y - y, 4*k + 2*y = 16742. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 6*a - 10. Let d = 10 + -3. Determine x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 424*q**3 - 42*q**4 - 2 - 425*q**3 - 14*q + 11*q to l + r*q**2 + h*q + o*q**3 + c*q**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 44. Let z(v) = 5*v - 7. Let s(i) = -2*i**2 - 21*i - 39. Calculate the lowest common multiple of z(b) and s(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swhwwwhwwiywyhhsih. What is prob of picking 2 i and 1 w?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f + 0*f + (2 - 4 + 0)*(-4*f + 3*f + 3*f) - f - 3*f + 3*f + (-2 + 1 + 2)*(12*f + 12*f + 2*f).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 240, 248, 256, 264, 272, 280?\n\"Answer: 8*c + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.233 - -2.233. Let v be ((-3)\/(-2))\/1*-2. Let g = -284 - -844\/3. What is the biggest value in v, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grpbw. Give prob of sequence wpb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93480 divided by -31160.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10219*l - 11. Let z(u) = 539052*u - 580. Let b(c) = -580*x(c) + 11*z(c). Let k(n) = -n. What is b(k(o))?\nAnswer: -2552*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j - 11. Let m(c) = -4*c + 4. Give -3*g(o) - 8*m(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661\/132 - 83\/12. What is the common denominator of q and 1\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from {p: 2, e: 6, o: 2, c: 6, k: 1, v: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 18*h - 24. Let s be j(-7). Suppose 5*t + 5*p = 10, 2*t - 4*p - s = -p. Let 2\/7*g - 2\/7*g**4 + 2\/7*g**t + 0 - 2\/7*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145492081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (-1*sqrt(12)*6 + sqrt(12)))\/(sqrt(6) + (2*sqrt(6)*1 - sqrt(6))) - ((sqrt(242) + 0)*-5 + ((-1 + sqrt(242))*-3)**2)) + 5.\nAnswer: -2182 + 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:02 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 70 = 64. Suppose -z - 1 = 2*v, -o = 4*v - 155. Calculate the smallest common multiple of o and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001010000 (base 2) to base 4\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3005\/8 + -376. Let i = 5 - 0. What is the closest to 1.9 in i, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36313, -34, -77?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 8:59 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*m**2 + 3 + 8 + 78*m**2 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*s + 2292 - 10603 = -2161 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100111010101001 (base 2) to base 7.\nAnswer: -5314563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.9, -2\/7, -5 in increasing order.\nAnswer: -5, -1.9, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w - 8*w - 9*w - 180*w**3.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145366 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 3*b**2 + 0*b**2)*(8*b + 2*b - 3*b)*(-3*b + b + 5*b).\nAnswer: -21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -27*t + 1492. Let z be d(-3). Calculate the highest common divisor of 52 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*3)\/(sqrt(10) - sqrt(50)\/(sqrt(5)*2) - sqrt(10)) + ((sqrt(48) + sqrt(192)\/sqrt(4) + 0)**2 - sqrt(18)\/(1*sqrt(486))).\nAnswer: -325*sqrt(3)\/9 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3547 and 4.\nAnswer: -3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367582423?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 762 - 17*t**2 + 3*t + 762 as h*t + m*t**2 + x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 155\/20*-1*-8. Suppose y - j = 19. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 949*k + 405*k - 238*k.\nAnswer: 1115*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 9*g - 9*g - 5*g + 53 - 64.\nAnswer: -3*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-11) + (-78)\/66. Let u be 4 + 38\/(-9) - (-261)\/81. Which is the closest to -2? (a) u (b) -0.7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/((-6)\/4*11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.84 + -1.74. What is the closest to -1 in 3, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*b**4 + 54*b**4 - 75*b**4 + (3 - 1 + 0 + (3 - 4 - 1)*(0 + 0 + 2) - 2 + 3 + 2 + 3 - 3 - 2)*(b**2 - b**2 + 6*b**4).\nAnswer: -249*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245103, -490204, -735305, -980406?\nAnswer: -1225507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6058905 to the nearest integer?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c*c)\/c*c*c**(-5)\/c)\/(c\/(c\/c**(1\/2)))**(-7\/10)*(c**(2\/3)*c*c*c**(-8)*c)\/(((c*c**2)\/c)\/c)**42 assuming c is positive.\nAnswer: c**(-3299\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78334, -156663, -234992, -313321?\nAnswer: -391650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.03, -3, -0.4, 0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58543035 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*l - 7*l + 138. Suppose 3*w - 21 = -0*w. Let o be (1\/(-3))\/(w\/(-189)). Do o and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11430844 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 - 7*f**2 - 7*f + 7. Let l(k) = 3*k**2 + 5*k**2 - 2*k - 10*k**2 + 0*k**2 + 2 + 3*k**3. Give 7*l(d) - 2*w(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 5, f: 3, b: 3, i: 3}. Give prob of picking 1 z and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 16 + 18)*(m + 3*m - 2*m)*(1 - 2 + 0).\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12 - 5?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2988, -2995, -3006, -3021, -3040, -3063?\nAnswer: -3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2859 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6\/11))\/b**(-1\/7)*b**5\/b**(-2) assuming b is positive.\nAnswer: b**(585\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 848682*z**3 - 187866*z**2.\nAnswer: 5092092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4969\/33 - -1660\/11. Which is the nearest to p? (a) -3 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28866, 28591, 28304, 27999, 27670?\nAnswer: 27311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 66 = -0*x. Let i = x - -24. Put i, -2, -4 in increasing order.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/25)\/((-33)\/660)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = -2*j + 54, 0 = j - 3*a - 33. What is the highest common divisor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**3 + 37*x**3 + 4*x - 4*x**2 - 28*x**3 - 3. Let b(c) = -c + 1. Determine 4*b(k) + q(k).\nAnswer: 2*k**3 - 4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 4491*a**2 - 193791*a + 189297 = 0.\nAnswer: -1539, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/9 + (-6)\/(-9). Let m be ((-1)\/(6\/i))\/6. What is the nearest to -1 in -1\/2, -3, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/64 and 7\/408.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -17, 8.\nAnswer: -17, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/4 and 131\/294546?\nAnswer: 589092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + (4 - 2)) - ((64 - 158) + 80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 426999353?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -118. Let p = 72 + -56.5. Let q = d + p. Sort -5, 3, q in increasing order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1690, 6746, 15166, 26944, 42074, 60550, 82366?\n\"Answer: -d**3 + 1688*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 7*s**2 + 9*s - 8. Let x be a(8). Let q be (-1 - x) + (-72)\/(-80). Sort -0.3, -3, q in ascending order.\nAnswer: -3, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -708?\nAnswer: 16\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 3*g**6\/20 - g**4\/6 - 44*g**3 + 232*g**2. Differentiate x(j) wrt j.\nAnswer: 54*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 830316?\nAnswer: 2490948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278 - -283. Solve -a*b - 3*i = -1, -2*i + 4*i - 9 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/49 + -2 - -14 - 330\/21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14189 - z**2 - 14188 - 2*z**2 + 4*z**2 + z**2.\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - n - 2*n**2 + n + (-4*n**2 + 7*n**2 + n**2)*(3 - 5 + 6) - 1 - 3 + 2*n**2 + 1 in the form l*n + v + p*n**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 58780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85637910.99999984 - 85637919. Let o = -8 - h. What is o rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1. Let z(n) = -4*n**2 - n - 11. Let m(u) = 3*x(u) - z(u). Let g be (-21)\/(-6) - -3*6\/36. What is the tens digit of m(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11683880 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1471 in -2, -23, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/1195?\nAnswer: 12\/1195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -3 + -8 - -9) + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3\/t*t)\/t)**12\/(t**(-2)*t)**(1\/5))**(-46) assuming t is positive.\nAnswer: t**(-5566\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4*u - 29. Let i be j(4). Solve -w - i*a = -2*w - 6, -30 = -5*w - 5*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -278*g**2 + 154*g**2 + 1168*g**2 + 502*g**2 - g**3 as j*g**2 + x + n*g**3 + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 29407700.7 seconds?\nAnswer: 48.62384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54167 is divided by 222?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8208 - -8268. Solve 23*q - 221 = -d for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and 60453\/31266 - ((0 - 1)*-1 + 1)?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**2 + d**2 + 7*d**2 - 1270*d + 906*d as g*d**2 + z + c*d and give c.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9109336719 minus 13085?\nAnswer: -13083.0890663281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1158149 divided by -4\nAnswer: 1158149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11720739149 rounded to 4 dps?\nAnswer: 0.1172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**5 - a**4 + a**2. Let x = 434 + -435. Let y(i) = -31*i**4 + 326*i**3 - 1511*i**2 + 2673*i - 1458. Let o(z) = x*f(z) + y(z). Factor o(c).\nAnswer: (c - 9)**3*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/7088 and 97\/9746?\nAnswer: 77968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1122, 2279, -5 in descending order.\nAnswer: 2279, 1122, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -977.7 - -978. What is the third biggest value in 0.1, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Suppose -5*o + 4 = -i. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 52*u**3 - 1 + 3 as r*u**3 + o*u**2 + l*u + p and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 914392 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*-9*(-2)\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 14. Let o(u) = -u**3 + 7*u**2 + 6*u + 11. Let h be o(t). Let j = 2 - h. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -7*i**4\/24 - i**3\/3 + 2*i**2. Let f = -3114 + 3138. Calculate the least common multiple of h(-5) and f.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y. Let h(j) = 20*j - 3284. Determine i(h(a)).\nAnswer: 140*a - 22988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.7 - 25. Sort j, -1, 1 in descending order.\nAnswer: 1, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i**3 - 33*i**3 - 17*i**3.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2556 + 2556. Which is the second biggest value? (a) 1 (b) 2\/17 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808625 is divided by 22442.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, r: 3, o: 3, s: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) 2\/7 (c) -1\/3 (d) 124 (e) 435 (f) 0.5 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and 119\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -4)*-5 + 4 + ((5*sqrt(539))**2 - sqrt(539)) + 5.\nAnswer: -42*sqrt(11) + 13504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 6 = 0. Find the second derivative of -3*b - 13*b**2 + b - m*b + 10*b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*q + 11, -q = 32*b - 31*b - 4. Solve 4*a - 7 - b = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400*i**3*l + 9*l + 9 wrt i.\nAnswer: -1200*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 46?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678422 - 2931884 = -366*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35620295 or 35620300?\nAnswer: 35620300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176289313 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.5 in 0.1, -11, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 505477167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Suppose 0 = b*y + 3032 - 10310. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -108*z - 268. What is the units digit of g(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1381*w**6\/3 - 147*w**2\/2 + 2*w - 3041. What is the second derivative of h(c) wrt c?\nAnswer: 55240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*f + 5*b**2*v**2 + 2*b*f*v**2 - 22*b*f*v - 2*f*v + 7*v**5 wrt v?\nAnswer: 10*b**2 + 4*b*f + 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 9. Suppose -16 = -4*w, -4*w = -3*r - 0*w - z. Suppose -2*y = -10, -2*y - r*y + 32 = 2*i. Solve 4*x + i*d + 8 = d, -4*x + 3*d + 24 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7191\/2 + -3623. Which is the third biggest value? (a) 3 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -654.85325 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10298697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, k: 4, q: 2}. Give prob of picking 4 k.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1b38a17?\nAnswer: -1b38a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * 156059.7.\nAnswer: -9051.4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*y - 26 = -1705*y + 2*w, 12 - 50 - 16 = -12*y - 2*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 208*r. Let s be t(1). Let h be 1\/(11236\/11232 - 1). Suppose 5*z + h - s = 0. What is z rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + y + 4*y - 357, 0 = -5*d - 4*y + 918. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g + 3390 - 3184 + 8*g + 3*g to the form m + f*g and give m.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5 + k**2 - 6*k**2 + k**3 - 1. Let s be (-1 + -3)*10\/(-8). Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 + 5. Let r(s) be the second derivative of s**4 - 9*s**2\/2 + 1041*s. Calculate 11*q(t) + 6*r(t).\nAnswer: 6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1749966 and -83\/2333288.\nAnswer: 6999864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 7 = -5*u - 2, 3*u = v + 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 36*g - 20. Let h be r(3). Suppose 18*n - h + 34 = 0. Solve u - 20 = -n*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttthh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p\/p**(-5)))**(-2\/41)*(p**(1\/2)*p\/(p*p**0))\/(p*p**0)**(-5) assuming p is positive.\nAnswer: p**(459\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((63\/49)\/((-12)\/28))\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829703 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3 - -1)*(-17 - -16)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 475883?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307\/124 + -7\/31. Calculate the common denominator of 228\/(-51) + 1 + 1 and a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 13649 = 3*t - 24329. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -1297?\nAnswer: -12a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 6*q + 15. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m**3\/2 - 43202869*m**2\/2 + 4800319*m = 0.\nAnswer: -4800319, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -12 - -3 - (-15 - -38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 s, and 1 a when four letters picked without replacement from {i: 3, s: 1, a: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - t = 8, s - 8*s + 188*t = 189*t - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*s**3 + 0*s**2 - s**2 - 36*s**3)*(-2*s + 4*s - 3*s) to t + v*s**3 + d*s + z*s**4 + i*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 22*o - 39. Let f be u(3). Solve -2*n - 5*b + f*b - 16 = 0, 2*n + 8 = 2*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 26. Let h = 20 - y. Solve -2*l + 5*n + h = 0, 3 = -5*l - 2*n - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y**21 assuming y is positive.\nAnswer: y**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 = 3*q, -72 = -4*f + 5*q. Let k = -8 + f. Suppose 28 = 2*z + 4. Solve k*u - u = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z**2. Let p(i) = 16 - 28019*i + 51 + 28017*i. Determine w(p(h)).\nAnswer: -48*h**2 + 3216*h - 53868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1629.722 and -8883592.\nAnswer: -8881962.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899760322 to the nearest integer?\nAnswer: 29996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1757581 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5 (c) 2.5 (d) 5\/6 (e) -2\/13 (f) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + sqrt(363) + 1)**2*-5 - (-6*(-1 + sqrt(363)) - (-5 + (sqrt(363) - 2*sqrt(363))))**2).\nAnswer: -11133 + 660*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 14. Let m be p(11). Let y be (-18)\/(-4)*16\/24. Suppose -3*h = -2*i + 1 + 18, -y*i + 6 = 3*h. Does h = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101222 - -11?\nAnswer: -12101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 71 = -467. Let d = m + 100. Let u = d + 97. Sort 34, u, 5 in decreasing order.\nAnswer: 34, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1176457314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 5*f**7\/42 + f**6\/3 - 15*f**5\/4 - 25*f**4\/3 + 110*f**3\/3 + 120*f**2 + 2*f - 8003. Solve w(q) = 0.\nAnswer: -4, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + t = 2058. Let q be (14\/t)\/(1\/12). Determine c so that -39\/7*c**4 - 57\/7*c**2 + 24\/7*c + 9\/7*c**5 - q + 67\/7*c**3 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 24*k + 143 - 24 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5938987 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3407 = 2*f - 5*v, 21*f = 20*f - v + 1714. List the prime factors of f.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -498*l + 131997. Let u be p(265). Suppose 5*w + 25 = 0, 4*h = w + 3*w + 44. Solve h*q = -3*q + u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-16)*(94 + -90 + (-9)\/2)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2637335054 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(2299))*6 + sqrt(2299))**2.\nAnswer: 1232*sqrt(19) + 112715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -233900 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4569?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 7*k - 10. Let u(j) = j**2 - 20*j + 74. Let n be u(16). Let l be 38\/n + (-42)\/(-210). Determine t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -6 - (-14 + (-5100)\/(-221))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -21*w**2 - 31*w + 15. Let u(m) = -4*m**2 - 6*m + 3. Let c(o) = 2*b(o) - 11*u(o). Let x be 1 + (-3)\/3 + -4. What is the units digit of c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let r(l) = 37*l**2. What is u(r(a))?\nAnswer: -111*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 135.4716 litres?\nAnswer: 135471.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsxx when four letters picked without replacement from xgxwsxwywwwwdwwx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*h = -28, 123*d - 119*d + 83 = 15*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*((-40)\/15 + (-6)\/2). Suppose -v = -5*z - 44. Let p(m) = 5 - 4 - 3 - 4*m. Determine p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 130*o + 2042. Let a be j(13). Solve -218 = -51*d - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {s: 4, p: 3, n: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 + 11*v - 8. Let c be h(7). Let d be 0 - c\/12*-3. Solve 4*g = -0*k + 2*k, 0 = d*g + 2*k + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 + 9*j**2 + 3 - 1.\nAnswer: 9*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s - s + 46*s**2.\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134879487663.5000025 - 134879717545. Let q = -229882 - y. Let l = 0.5 + q. What is l rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66434580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (309\/2369)\/((2\/16)\/(29\/174)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8567 = 28*t - 16020 + 8013 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 19. Let z(v) = -3*v + 19. Let i(g) = 4*r(g) - 3*z(g). Let u be i(-11). What is b in 49 + u*b**2 - 3*b**2 + 15*b - 39 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 173*s + 1207. Let r be p(-93). Which is the nearest to 2? (a) 3 (b) 4 (c) 1\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjpgpgjpppjjp. What is prob of picking 1 j and 1 p?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 12.8?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 165, 367, 639, 975, 1369, 1815, 2307?\nAnswer: 2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/((sqrt(2) - sqrt(2)*2)*3))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c + 12*c - 39 + 0*c - 3*c + 273*c**4 wrt c.\nAnswer: 3276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 61 + 37 - 54)*(-10 + 5 + 6*u**2 + 3) + (-2*u - 2*u + 2*u)*(2*u - 9*u - u).\nAnswer: -914*u**2 + 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 562 - 76 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417*-0.2418.\nAnswer: 100.8306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/((-9)\/((-153)\/(-34))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2))\/u)\/u**0)**(-36)*(u**(-2\/5))**(-3\/8)\/(u\/u**(-1\/4))**(-1\/5) assuming u is positive.\nAnswer: u**(-358\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198251749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 0.0427.\nAnswer: -0.1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2\/5, 29\/14, -248?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*j**2*y**2 + 21*j**2*y + j**2 - 10*j*y**4 wrt y.\nAnswer: -174*j**2 - 120*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1415 - -1419. Solve 0 = -3*n + 2*z - 15, -n - z = -j*z + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1355 - -1024?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -3409*u**5\/10 + 11219*u**4\/12 + 3618*u. What is the third derivative of a(m) wrt m?\nAnswer: -40908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*((sqrt(119) + (sqrt(119) - 1*sqrt(119)))\/sqrt(7) + 0).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0.4, -6, -1.86, 40 in decreasing order.\nAnswer: 40, 0.4, -1, -1.86, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:10 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 4. Let r be k(-6). Suppose -8 = -0*y - r*y. What is the remainder when y*-219*(-4)\/12 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*l = -90035, 0 = 18*b - 16*b + 5*l - 59965. What is b rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 15*x + 42. Let c(n) = -2*n**2 + 32*n - 90. Let a(t) = 15*c(t) + 32*k(t). Let d(f) = 2*f + 105. What is d(a(u))?\nAnswer: 4*u**2 + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 265*s**2 + 193*s + 8047. Calculate u(-132).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-57 + 20)) + (1 - -7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/125)\/(120\/(-25))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54661*794.\nAnswer: 43400834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1561689, 1561784, 1561879, 1561974?\nAnswer: 1562069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -16.93. Let o = 37 + -36.83. Let a = p + o. Is 3 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3132 * 0.094\nAnswer: -0.0294408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5929 and 192915261.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 203*v**2 + 335*v + 34. List the prime factors of w(-9).\nAnswer: 2, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 624 = 5*t, 3*c - 4*t = -t + 468. What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 32\/9, 5\/16, 0?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, -5, -50\/17, -0.2, 3.1, 2\/7?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 145641600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5522 + 7699 = 0. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 8, -2, -982, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 67, 171, 337, 577, 903?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138912*d**3 + 1052*d**2 + 2*d + 48 wrt d.\nAnswer: -833472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 17*t**2 + 38*t + 4. Let h be f(-19). Suppose -2*p = 5*n + p, h*n + 4*p = 0. Solve -2*y = -5*z + 17, 5*y + 2*z + 1 - 2 = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 21 + 34 = 0. Let a be ((-201)\/66)\/((-89)\/4). Let p = a - -4\/89. What is the smallest value in i, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a + a. Let z(t) = -t**2 - 12*t + 10. Let w be z(a). Is w less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let y be b(-10). Solve 3*u = y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -3 (c) -225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(2 - (-734592)\/40 - (-6)\/(-20))?\nAnswer: 109, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.82 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 10 = -h + 40*j, h = -17*j - 10 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = -10, -4*n + 4850 = z. Suppose -n - 367 = -5*f + 5*o, -f - o + 318 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(((sqrt(133) + sqrt(133)*-2 - sqrt(133) - sqrt(133)) + sqrt(133))*3 + -1*sqrt(133)*2))\/((sqrt(42)*2*-6)\/((sqrt(72)*-2)\/sqrt(12))))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*o**2 + 48 + 2*o**5 - 48 + 2*o**5 - o**5 + o**5 - 74 + 74 - 7*o**5 + (0 - 2*o + 0)*(5*o**4 - 2*o**4 - 2*o**4).\nAnswer: -5*o**5 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/7 + 4642*z**2\/7 - 622908*z\/7 = 0. Calculate z.\nAnswer: 0, 143, 2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5959 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 5*y + 3. Let v be t(5). Suppose 18 = 2*h + 4*f, -v = 3*h - 4*f - 0. Let x = 5 - h. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5122 + 5121.8. Which is the third smallest value? (a) -1 (b) -2\/11 (c) -1.09 (d) g (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 + 20*b**2 + 18 + 3*b**3 + 11*b - 9*b**2 - 7*b**2. Let w be m(6). Solve 4*c - 8 = w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooko when four letters picked without replacement from ookoookkooo.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8296613\/500 - 16593. Calculate the common denominator of 17\/5 and b.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 67923.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 8544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + 9 + 4 + -18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 32*s. Let m(h) = -43*h**2 + 6*h + 6. Let u(g) = -1209*g**2 + 169*g + 169. Let j(v) = -169*m(v) + 6*u(v). Determine t(j(b)).\nAnswer: 416*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(12) - sqrt(3))**2 + 0 - (-1 + sqrt(12)\/sqrt(4) - sqrt(3))) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1088) + 2*sqrt(1088)*-5 + -5*(sqrt(1088)*2 - sqrt(1088)) + -3 - (-2 + sqrt(1088) + -1 - (-4 + sqrt(1088)*2))))**2.\nAnswer: 3328*sqrt(17) + 735552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 2*g**3 - 21*g**2 + 5*g**3 - 7*g + 9*g as r + b*g**2 + z*g**3 + p*g and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5664*x**2 + 2*x - 1. Let a(p) = -51*p. Determine j(a(v)).\nAnswer: 14732064*v**2 - 102*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106512 is divided by 171.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 859.2975 millilitres?\nAnswer: 0.8592975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f + 1842. Give o(-199).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5801 + 0.2\nAnswer: -5800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3 - 1) + 4 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97488 is divided by 2364.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/6 - v**2\/2 + 8*v. Let o(d) = -30*d + 52. Let k(f) = -12*f + 21. Let z(r) = -12*k(r) + 5*o(r). What is -8*p(l) - z(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.278 centuries to months.\nAnswer: 750333.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 5*s + 9. Let f(r) = r**2 - 2. Determine 4*f(w) - l(w).\nAnswer: 2*w**2 + 5*w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*q - 10*q - 4*g, 0 = 3*g. Let t(a) = a**3 - 11*a**2 + 13*a - 15. Calculate t(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -241 - (1 + -1 - 1). Let b be (-3 - -1) + v\/(-3). Let z = -24 + b. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**7\/210 - 3*k**6\/8 - 73*k**5\/20 + 349*k**2. Find the third derivative of l(t) wrt t.\nAnswer: -24*t - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 657?\nAnswer: 64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 292590 and 42.\nAnswer: 2048130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 265871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q**2*q)\/q))**(-10\/7)\/(q**9\/q*(q**(-6)\/q)\/q) assuming q is positive.\nAnswer: q**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 380 + -4203?\nAnswer: -3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/25)\/j)*j*j**(-1))\/((j**(-9)*j)\/j**(1\/2)) assuming j is positive.\nAnswer: j**(471\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2. Let n = 3 - -3. Let k(i) be the third derivative of -i**5\/60 - 7*i**2. Calculate n*k(g) + 2*d(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11ab6d3 (base 14) to base 10\nAnswer: -8483065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.2 - -24. Let o = 9 + -14. Put d, 1, o in descending order.\nAnswer: 1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 25*o**4 + 20*o**3.\nAnswer: 5*o**3*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 11 - 307 = -2*m, -4*t + 660 = -2*m. What is the remainder when t is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - c = 4*c + 20, 4*i - 3*c = 18. Let j(o) = 0*o + 0*o - i*o + 5*o - 5. Let f be j(-7). Solve 0 = w + f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371\/610 + 1\/122. Let d = -1 + 3. What is the third biggest value in j, 0.2, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {x: 2, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 5 = 0. Let d(a) = 90*a**2 - 3*a. What is the tens digit of d(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/3 - 20*l**3 - 1064*l**2\/3 + 11344*l - 21120 = 0.\nAnswer: -24, 2, 22, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.11.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32886521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -16c7?\nAnswer: 16c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87.9999924 + 88. Round j to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -3 (c) 2 (d) -4 (e) -1945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a (base 11) in base 5?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17451*g - 2. Let y be k(8). Suppose -d - y = -2059606. What is d rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252104 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67418.8 rounded to the nearest one hundred?\nAnswer: 67400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 10 = -2*d + 5, d = -4*b + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) -1 (c) 0 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*f - 444*f + 3*j = -35, -10*f = -j - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20194000 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -26*n - 53. Let z = 0 + -0.4. Is n less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -17. Let z(x) = -x**2 + 6*x - 3. Let y be z(5). What is the third derivative of -4*c**4 + 8*c**y - 2*c**t - 2*c**2 wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/2)\/i)**(1\/34) assuming i is positive.\nAnswer: i**(3\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 4. Suppose -21 + 77 = g*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 3*z**2 - 1 - 4*z**2 - 1 + (-10 + 11 + 19)*(3*z**2 + 3*z**2 + 4*z**2) to the form d + u*z**2 + r*z and give u.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 - -0.76. Are 7\/6 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*o + 30 = -302*o. What is the tens digit of ((-5)\/o)\/(3\/(-156))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196304 + 21563. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*t - 27 = 0, 3982 - 3974 = -4*a + 4*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/9 + -4 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 24, -0.4, 1\/3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.112 + -0.512. Let z be (-1 - 4\/(-5))*-2. Which is the nearest to z? (a) w (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, -3\/4, -2, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**5 + 3*v**3 + 8734*v**2 - 16456*v + 1 wrt v?\nAnswer: 40*v**3 + 18*v + 17468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5597 - 3138. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 8*r + 20. Let h be r\/6*36\/(-8). Solve 0 = -0*c - c - h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t - 2619. Let f(o) = -29*o - 7857. Calculate 2*f(u) - 7*r(u).\nAnswer: -2*u + 2619","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-77)*-14 - (1*10 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(500))**2 + 4.\nAnswer: -40*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (10 - 20) - (-1 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -462*s - 466*s - 13 + 926*s - 2. Calculate k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 190, 10 in descending order.\nAnswer: 190, 10, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 - 355\/2. Let d = 26 - x. Let n = -137 + 141. Which is the second biggest value? (a) 1 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -219, -109, 65, 309, 629, 1031, 1521, 2105?\n\"Answer: t**3 + 26*t**2 + 25*t - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4668 + 4669. Let z = -21 + 22. What is the nearest to z in i, -1\/3, 2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1090 and 1510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 11 - 2. Let s be 14\/(-1)*9\/(-6). Let k = s + f. Calculate the highest common factor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14057\/42 + -1337\/4. Find the common denominator of i and -89\/1554.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39671, 79597, 119523, 159449, 199375, 239301?\nAnswer: 279227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14*84\/48. Is j at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/220*(-21604)\/(-491)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*b = n - 515, 4*n = -5*b - 448. Let w = 334 + n. Let f = -120 + w. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*n = -993*n - 19929 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -6. Let w = 348\/1309 + -10\/119. What is the nearest to 0 in 2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmbrbbbbmmbmbmmb. What is prob of picking 2 m and 1 r?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 36. Let m be x(-19). Let t = 2 + -10. Let n(k) = -k**2 - 8*k + 4. Let y be n(t). What is the highest common divisor of y and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624672606?\nAnswer: 2, 47, 67, 347, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*c + 3, 0 = -4*t + 5*t + 2*c + 13. Let n(g) = 3*g**2 - 2. Let q(l) = -3*l**2 + 2. What is t*n(a) - 6*q(a)?\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.213? (a) 4 (b) 7.6 (c) 2.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 10:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - 1. Suppose 0 = -2*b - 5*h - 3, 3*b + v*h = -h. Put 0, b, -1 in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 6*t + t**2 + 43*t**3 - 2*t**2.\nAnswer: 35*t**3 - t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, -206 in ascending order.\nAnswer: -206, -17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 + 60285*k**3 - 4297120*k**2 + 100840740*k - 778860160 = 0.\nAnswer: -12128, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 1. Let c be y(2). Suppose w + 11 = -5*f, 6 = -c*f - 3. What is the tens digit of ((-10)\/w)\/(4\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 9 = 3*w - w, 5*w = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6772 times -0.3?\nAnswer: -0.20316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-14))\/(84\/441))\/9*26?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 13*s + 5. Let f(q) = q**2 - 2*q - 1. Calculate 4*f(m) - y(m).\nAnswer: 3*m**2 + 5*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21619965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(306) - (sqrt(306)*-4 - sqrt(306))*-1) + sqrt(306) + sqrt(306) - sqrt(306))\/(sqrt(128) - (sqrt(128) - (sqrt(128) - sqrt(128)*-5))*-2))**2.\nAnswer: -111\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04475 * -426\nAnswer: -19.0635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1837*a + 1838. Determine g(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -125.336866?\nAnswer: -12.5336866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14560\/(-42))\/(3 - (-10)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 216761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 213111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**5 + 641*m wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 12*r**2 + 20*r - 27. List the prime factors of n(-15).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - k - 24 + 4, 21 = -2*o - 3*k. Suppose 0 = -3*t - 10 - 2. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 15*f**3 - 336*f**3 - 226*f**3 - 499*f**3.\nAnswer: -1053*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 116293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119025 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16809 - -16805.6. What is the closest to 1 in -5, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152940799 is divided by 1039?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Solve -u*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1386, 2953, 4520, 6087, 7654?\nAnswer: 9221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/5*4\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (157 - 146) + (-206)\/(-20).\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-8) + (-2)\/(-8). Let o = 9 - h. What is the lowest common multiple of o and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 - s + 8. Let t be p(-3). Let l be 4*6 + t\/8. Let r be l\/12 + (-6)\/(-36). Solve -2*i + 20 = r*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {a: 1, v: 6, t: 1, x: 1, d: 1, m: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 83, 118?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*o = -24, -3*o - 2*o = -r. Suppose -3*u + 2*u - r = 0. Is -10 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**8\/56 - r**4\/6 + 2*r. Find the third derivative of i(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8016 - 32105. Let t = -57341 - q. Round t to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 10. Let b be h(-6). Suppose 0 = q - b*q + 12. Suppose l - q*l = -57. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 15*o**2 + 10*o - 2. Let t be v(15). Let h be (-2)\/((-8)\/65) - 37\/t. Suppose h = -34*z + 30*z. Sort -7, z, 1.\nAnswer: -7, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:12 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 272773.7um?\nAnswer: 272.7737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/5 - 1\/1. Let j = 1 + 0. Suppose -j = -2*l - z, 0 = -l - 0*l - z. What is the closest to l in -1\/5, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2779793 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276368*t + 37 = 276367*t + 3*g, 0 = 34*t - g + 1561 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 3*x - 2. Let l be d(-2). Let c be 4*1\/((-6)\/(-3)). Suppose 7 = 3*m + 2*m + j, c*j = -5*m + 9. Do l and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470790774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503663 + -79809. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 41*x**7\/7 - 11*x**3 - 48. Find the third derivative of c(t) wrt t.\nAnswer: 4920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 202600384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*66\/(-4). Solve 0 = -5*o + 3*u - p, 3*o - 4*o - 9 = 4*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 7 + 2 + 21 + 45 - 4*k to the form g + v*k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257376 is divided by 5587.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/120 + i**4\/48 + 5*i**2\/2 - 3*i. Let z(t) be the first derivative of y(t). Determine m so that z(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11083 in -3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.9 + 44. Let h = 100 + -102. Let u = 2 - 2.1. Sort q, h, u.\nAnswer: h, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.23, 0.968, 2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/260 and ((-286)\/48)\/((-515)\/412).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - (-10)\/(-30). Does 13 divide (0 + 13)\/(h\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:42 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -9795704.\nAnswer: 9795708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - p + 0*p - p - 2*p + 2*p + (2 - 5 + 5)*(-2*p - p + p) + 0*p - p - p in the form y + q*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, 1\/3, -8 in descending order.\nAnswer: 1.9, 1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137754 - 5?\nAnswer: 13774a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 432?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 424, 569, 700, 835, 992?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 3*m. Let s(y) = 4*y**3 + 3*y**2 - 3. Let k(b) = 3*b**3 + 2*b**2 - 3. Let v(n) = -3*k(n) + 2*s(n). Is v(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from quq.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/11)\/(5\/(-55)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127979039.\nAnswer: 9629, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4506 and 30?\nAnswer: 22530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*14\/(-35) - 0. Sort 3, n, 5, 4 in ascending order.\nAnswer: n, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20774057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4)*9\/(-6))\/((-30)\/28)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.055 and 12.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -231576.\nAnswer: 1157880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -3018, -4537?\nAnswer: -6056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6630968435 rounded to the nearest 100000?\nAnswer: -6631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8519*c**4 - 874*c**3*o - c**2*o + c**2 + 9375*c*o + c + 9 wrt c?\nAnswer: 204456*c - 5244*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 + 5*u. Let j(z) = 6*z**2 - 5*z + 1. Let n(s) = -4*d(s) - 3*j(s). Calculate n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjak when four letters picked without replacement from {k: 5, j: 1, f: 1, h: 1, a: 1}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ggcccgcgggggggcgcg?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(80) - sqrt(190)\/(sqrt(10)*1)) + 1.\nAnswer: -3*sqrt(19)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a - 125*a - 10317 = 6843 for a.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 42*g - 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 12095.\nAnswer: 60475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(360) + sqrt(360) + sqrt(360)*-3)\/sqrt(8))\/(sqrt(9) - (sqrt(729)*6 + sqrt(729))).\nAnswer: 3*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510721349?\nAnswer: 19, 29, 926899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5459*r + 1105 wrt r.\nAnswer: -5459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*a - 136*a = 0. Factor 1\/2*f**3 - 1\/2*f + a*f**2 + 0.\nAnswer: f*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*j*j)**(-8\/7)\/(j\/((j*j\/(j\/j**16)*j)\/j*j)*j*(j*j\/j**(-20))\/j))**(-33) assuming j is positive.\nAnswer: j**(363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 12:47 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - -3.53. Let t = -0.3699944 - i. What is t rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 9503490?\nAnswer: -38013960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1154 and 32?\nAnswer: 18464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4 + 0)\/(47\/94)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 8:00 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/7 + 10*o**4 - 164*o**3\/7 - 382*o**2 + 13317*o\/7 - 2412 = 0. What is o?\nAnswer: -7, 3, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189960*b - 181956*b + 736368 = 0 for b.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/134, -3, -10, -2\/21 in descending order.\nAnswer: -1\/134, -2\/21, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 132330132133?\nAnswer: 132330132202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -128. Let a = -17 + z. Calculate the smallest common multiple of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:30 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1. Let c(f) = 2*f**2 - 4. Let p(r) = -c(r) - 4*y(r). Suppose 0 = -6*t + 4*t + 10. Let k(j) = t*j - 3*j + 4*j - 5*j. Calculate p(k(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11208783?\nAnswer: 3, 3736261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.8, 1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, -0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:12 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 9*g + 64 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 208 = 1. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 115. Let r(i) = -2*i - 1150. Determine r(f(p)).\nAnswer: 4*p - 1380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13119 + 29469 = -676*t for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 655130000 to the nearest 1000000.\nAnswer: 655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2937\/4, 21\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50364 divided by -6?\nAnswer: -8394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of ((-45)\/10)\/(7\/(-1652))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - (-3770)\/14. Let k = 19 - 14. Suppose -4*p + 5*s + 111 + f = 0, -k*p + 484 = -4*s. Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 10 = -6*j. Let a(d) = -d**2 + 2 - 2 - 4*d**j. Let q(z) = z. Determine q(a(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10439 times 43?\nAnswer: -448877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18759.25 weeks?\nAnswer: 11345594400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6018285518?\nAnswer: 2, 7, 337, 1275601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 23 + -14 - 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + ((sqrt(70) + sqrt(70) + sqrt(70)*-2 + sqrt(70))*1 - sqrt(70)))\/sqrt(10))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (26 - (9 + 33))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l**2 - l - 2. Let z be j(2). Let g = z + 101. Suppose r - 43 - g = 3*p, 0 = 5*r + p - 540. Calculate the highest common divisor of r and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let d be 7 + (0 - u) + 4. Let l = 170 - 161. What is the greatest common divisor of d and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)\/w)\/(w\/w**5*w)*(w\/(w**(-3\/4)*w))\/(w**1\/w))**(-3\/14))**(5\/9) assuming w is positive.\nAnswer: w**(5\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27681, 54912, 82139, 109356, 136557, 163736?\n\"Answer: -k**3 + 4*k**2 + 27226*k + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w + 2*w**2 - 2*w**2 + 9*w + 13 + 4*w**2. Let i = -9 - 0. Let c(m) = -m**2 - 2*m - 3. Calculate i*c(o) - 2*l(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2473292, 4946583, 7419874, 9893165?\nAnswer: 12366456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14581 - -14933. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 8) in base 2?\nAnswer: -10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7305 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b83 + 2?\nAnswer: -b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**1*f*f\/f**(-3\/4)*f*f*f)\/((f\/f**(-1\/21))\/(f*f**(-5\/7)*f)))**(-4\/19))**(-9\/7) assuming f is positive.\nAnswer: f**(1761\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 14284.36 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78700, 78701, 78702, 78703, 78704?\nAnswer: 78705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806567040, 806567039, 806567038, 806567037, 806567036?\nAnswer: 806567035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*a = 128, -p = -4*p - 5*a + 88. Let h = -30 + p. Calculate the remainder when 16 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 397, 830, 1363, 1954, 2561?\nAnswer: 3142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -4)*569 + -1 + 0. Suppose -3*q + 89 = -v. List the prime factors of q.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002690015 rounded to six decimal places?\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*k + 64*k - 31160 = 0. What is the remainder when 1127 is divided by k?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 181940.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 2, 122, -3 in increasing order.\nAnswer: -3, -1.7, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d - 7*d**2 + 6*d**2 + 6*d**2 - 7*d**2 + 17*d.\nAnswer: -2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-10))\/((-1)\/2). Let t = -1.4 + 0.8. Which is the second biggest value? (a) t (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831894519 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from qiooo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20200239097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6438 divided by 6438\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2842499 and 58878?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -3\/5, -1, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1)*z)**(16\/5))**(-1\/3)\/((z*(z*z**(-2\/11)*z)\/z)\/(z*z\/(z\/(z*z**(-1\/11))))*z**5\/z**(-2)) assuming z is positive.\nAnswer: z**(-1492\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10 + 5*w**3 + 13 + 11*w**3 + 8*w**2 + 3*w**3 - 11*w**3 wrt w?\nAnswer: 24*w**2 + 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -142969.745 from 44.\nAnswer: 143013.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 6 - -11) + -4. Let u(q) = -5 - 2 - q**3 + 0 + 7*q + 5*q**2. Let k be u(5). What is the highest common divisor of k and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjqqjkxzjk. Give prob of picking 2 j and 1 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + (-11655)\/(-20))*-4. Let d = b + 14017\/6. Calculate the common denominator of d and ((-4)\/(-6))\/(16\/(-174)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {s: 5, e: 1, i: 2, l: 1, z: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*v**3*y**3 - 2691*d**2*v**3*y**2 - 9*d**2*v**2*y**3 + 5*d**2*v**2 + 7*v**2*y**2 wrt v.\nAnswer: 12*d**2*y**3 - 16146*d**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 10. Suppose -2*c = c - p. Suppose 0 = 2*u - c*w, w + 8 = -3*w. Put 4, -2, u in increasing order.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 23*r**2 - 17*r - 3. Calculate g(24).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -14631?\nAnswer: 23\/4877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2459? (a) 0.2 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + h + 14 = 0, -f + 0*f - 4*h + 9 = 0. Suppose -15 = -f*n + 5*x, n - 4*x + 6 = -0. Are 6 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2345211 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 430518 = 430517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**3 - 11*h**2 - 11. Let g(i) = -4*i**2 - 2*i**3 - i + i - 20 + 16. What is -4*f(y) + 11*g(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36499, -72994, -109483, -145966, -182443?\n\"Answer: 3*m**2 - 36504*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392679803?\nAnswer: 109, 1361, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171078?\nAnswer: 2, 3, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 43 (c) 25 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 285, 279, 289, 321, 381, 475, 609?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -10574 and -10575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/24*95\/(21375\/9990).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -398, 6, 3, 10.\nAnswer: -398, -1, 3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 1533, 3618, 6583?\nAnswer: 10428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120761332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -995366 rounded to the nearest one thousand?\nAnswer: -995000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152587 is divided by 52.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*q**3 + 4313 - 4313 + 187*q**3 - 108*q**3.\nAnswer: 229*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 984 and 216488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 216*v - 12180. Suppose -2*p = -3*p, -48 = -k - p. Let b = k - 21. What is the remainder when j(57) is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**2 + 6*w - 6. Let n(j) = -j**2 + j - 1. Let b(a) = 9*a + 33. Let m be b(-3). Let o(q) = m*n(q) - u(q). Let c(y) = -14*y. What is c(o(k))?\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 3*i**2 - 4*i**2 - 90 - 42 - 2*i - i**2 = 0. Calculate i.\nAnswer: -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 40*c**2 + 2*c - 45. Let j be 17 - (-1*(-4 + -1) - 8). What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 24*d**2 + 91*d - 265. Let j be t(3). What is the greatest common divisor of j and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1415205 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7*k = 117. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*l**2*w**2 - 1874*l**2*w - 761*l**2 - 10*l - 1 wrt w.\nAnswer: -44*l**2*w - 1874*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -11, -19, -27?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - w + 3, -2*w + w + 3 = 4*u. Let t be 10\/4 - (u - -2). Let p = -0.31 - 0.69. What is the closest to p in 0.2, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(68)\/sqrt(4) + sqrt(17)))**2 + (sqrt(2057)*1 + sqrt(2057) - (-4 + (sqrt(17) + -1)**2)).\nAnswer: 54 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkdddddddk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 2*s = 36*f - 144266, -3*s + 18 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.48*0.06.\nAnswer: 0.0888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 783*g\/2 + 393.\nAnswer: -3*(g - 1)*(g + 262)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-9)*-3 + 8. Let r = b - 14. List the prime factors of r\/((-8)\/10) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 59*x - 102. Let q be f(-6). Solve 3*d + d = -4*g - 40, -d + q*g + 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*r - 5*a, -86 = -2*r - 2*r + 5*a. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10104*m**3 - 4591*m**3 - 5511*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*y + 11*n + 159*y wrt n?\nAnswer: 2*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -795694, -1591392, -2387104, -3182836, -3978594?\n\"Answer: -z**3 - z**2 - 795688*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/3 - 11*r**3\/3 + 4*r**2\/3 + 20*r = 0.\nAnswer: -2, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 = -2*h - 37*w + 33*w, -1238 = -2*h - 5*w. What is the remainder when h is divided by 126?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -0.665, 6\/7, 1\/20?\nAnswer: -0.665","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 26, 79, 194, 395, 706?\nAnswer: 1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 140370 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 63205.7394 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, v: 2, p: 10}. What is prob of sequence pppy?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -651, -650, -649, -648?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102828 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-16)*a))**(5\/7))**(11\/3) assuming a is positive.\nAnswer: a**(-935\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 + s + 1. Let c be p(8). Let y(g) = -g**2 + 8*g + 9. Let f be y(c). Factor -1\/5*o + 0*o**2 + 1\/5*o**3 + f.\nAnswer: o*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*b - 3*x - 13, 0 = -4*b - 3*x + 26. Suppose w - b*w - 28 = 0. Let o = w - -9. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -353, -531?\n\"Answer: -178*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 2*x + 8. Let v be h(5). Let r = 31 + v. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490562 not equal to -1490562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 10*s + 0*s)*(-3 + 3 - 2)*(-4*s - 1 + 1).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16735, -133201, -449265, -1064707, -2079307, -3592845, -5705101, -8515855?\n\"Answer: -16630*d**3 - 19*d**2 + d - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 164337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/3)\/p)\/p*p**(3\/7) assuming p is positive.\nAnswer: p**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4\/5))\/x)\/x*x*x*x*x**(-29)*x*x*(x**(-1\/10)*x)\/(((x\/(x\/(x*x\/x**(-27))))\/x)\/x) assuming x is positive.\nAnswer: x**(-503\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7547 + 7541 = 3*z - 5*m, 2*m = 4*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 180 = 9*k. Suppose -z - k = -6*z. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -272. Put 4, 3, m, -6 in decreasing order.\nAnswer: m, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.13, 56, 5, 0.02, 0.03 in descending order.\nAnswer: 56, 5, 2, 0.13, 0.03, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6349451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*v - 3*m - 44 + 104, -2*v - 6*m - 14 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3100 divided by -310\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*m**3 - 71*m**3 + 1733*m**3.\nAnswer: 2045*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 352*j**2 - 32*j. Let f(x) = -32*x**2 + 3*x. Give 32*f(q) + 3*w(q).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = n + 174, -4*j + n - 120 + 470 = 0. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393994057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, u: 7, i: 2}. Give prob of picking 2 i and 2 u.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Let v = -6 - y. Let j be 1\/7 - (-102)\/21. Sort j, -0.2, v in decreasing order.\nAnswer: j, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Let b(d) = 0 - 2*d + 0*d - 2 + 3 - x*d**2. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 890 + -806. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/597?\nAnswer: 2\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/6*s**4 + 0 + 0*s - 3*s**2 + 0*s**3 + 0*s**5 - 1\/24*s**6. What is the second derivative of g(c) wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16258113, -16258115, -16258117?\n\"Answer: -2*u - 16258111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/(-8))\/(7\/28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -443*b**2. Let t(m) = -13*m - 12. Let s(c) = 4*c + 4. Let h(q) = -3*s(q) - t(q). Give h(a(x)).\nAnswer: -443*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*(v*v**(2\/107))\/v)*v)\/(v\/((v\/(v\/(v*v**(2\/71))*v))\/v)))\/(v\/v**(-1\/13))**(-43))**(17\/2) assuming v is positive.\nAnswer: v**(76084673\/197522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/105)*w*(w\/w**9)\/w*(w**8\/w*w*w)\/((w\/(w**33*w))\/w) assuming w is positive.\nAnswer: w**(3677\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 0.9326088452.\nAnswer: -0.1326088452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.971274601 to two dps.\nAnswer: 2.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*g + 31*g + 101500. Let u = 101353 + g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:28 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527633 = -16794*m - 748711 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 163184*c. Let x(a) = -493*a. Let w(d) = 3*q(d) + 992*x(d). Let t(s) = 2*s**2. What is w(t(j))?\nAnswer: 992*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*j**2 + 9*j - 405 wrt j?\nAnswer: 136*j + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.5, 5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19681243.\nAnswer: 757, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by -2?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/((-1440)\/(-64))*-1*11\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846\/(-568)*8\/6 + 146\/(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 + 52. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + ((-237)\/(-4))\/((-5)\/(-160)). Let b = -703 + d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 + 2*z - 7. Let m(y) = -y**3 - y**2 - 2*y + 6. Let n(v) = -2*d(v) - 3*m(v). Give n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.66 + -0.34. Let o = 70562.9952 + -70502. Let i = n + o. What is i rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 29*s - 63. Give f(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 + 65 = -2*z, 5*z - 85 = -4*f. What is the highest common factor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 277020 from -59.\nAnswer: -277079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 24 = 3*y - z, 2*y - 12 = 3*z. Let 6*o**2 - 6*o**3 - 6*o**2 - 15*o**4 - 2*o + 14*o + 3 + y*o**2 - 6*o**5 = 0. What is o?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159184 times 11\nAnswer: 1751024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 276*k + 17. Let f(z) = 8*z + 2. Calculate 5*f(j) - i(j).\nAnswer: -2*j**2 - 236*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 553126897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*(1766\/(-10596))\/((-8)\/(-14))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 divided by 707?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32192 divided by 5.\nAnswer: 32192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l*l**(3\/2)*l*l*l*l)\/l)\/l)\/l**5*(l*l\/(l\/l**(-3)))\/l**(-3\/5))\/(l\/(l\/l**(2\/11))*l*l*l**0*l)**3 assuming l is positive.\nAnswer: l**(-1039\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u**2 + u + 4. Let b be z(-3). Let h be (-10)\/b - 24\/(-14). Let w = -21 + 18. Put 4, h, w in descending order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.036 in 5, -23, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 3*b - b)*(0 - 1 + 5) + (0*b - 3*b + 4*b)*(9 + 5 - 5)*(-1 + 5 - 2) to the form y*b + m and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 + 88*k - 894. What is b(8)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3191? (a) 0.4 (b) 2\/9 (c) 0.0399 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.345249466 rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057))*1)**2.\nAnswer: -22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from ennexueuuxeeu.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 713775 - -1?\nAnswer: 713776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 - -11111100?\nAnswer: 110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)\/(((u\/(u*u**(-3)))\/u)\/u))**(-14)\/(u\/u**(-3\/7)*u*u\/u**(-5\/2)*u**(-1\/12)\/(u\/(u\/(u**(-3\/7)\/u)))) assuming u is positive.\nAnswer: u**(565\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b - 3)*(0 + 0 - 3)*(-2 + 3 + 0) + (-2 + 0 + 1)*(0*b + b - 3*b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 396547469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24327\/2544)\/((-9)\/(-4))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-8)*2\/(-6). Suppose 0 = -11*u + 6*u + 25. Suppose -u*n = -n. Do n and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4*f - 2, -r - 3 + 10 = 5*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -16 - 1 - -9) + 18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100156125.8 rounded to the nearest 100000?\nAnswer: 100200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*u = -3*u + 88599996, -v + u - 44300004 = 0. Round v to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from cvsscvjn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17*d**(-13))**(14\/5) assuming d is positive.\nAnswer: d**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2 + 15*(-4)\/(-30). Solve 5*o + 8 = -l*t - t, -o + 8 = 5*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v + v**2 + 114*v - 153*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (2 - (-2 - -1)). Let m = k + 9. Suppose -5*b + 32 = r, -r = 2*r - m*b - 45. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 22. Suppose 4*z - 8 = -2*j + f, -18 = -3*j - 3*z. Suppose 4*q - j = -q, 0 = -m - 5*q + 13. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -36823.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.5, 10, 2\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396)*2)**2.\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 9658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 676207*g - 14877038 = 0.\nAnswer: -22, 676229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -16*h - 96 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17499 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*w - 3 = 0, 2*c + c - 4 = -2*w. What is the third derivative of 51*o**3 - 44*o**c + 17*o**2 - 32*o**2 wrt o?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 - 100001001011?\nAnswer: -100000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/599 - -5643\/86855. Calculate the common denominator of 37\/15 and r.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250635 divided by 11\nAnswer: 22785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1075 + 1151*f + 357 + 362 + 356 to the form u*f + c and give u.\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -22*v + 70 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 3. Let l be 8\/(-36) + 130\/18. Let j be g(l). Suppose 0 = -j*v + 5*v - 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**1)*l**(-4\/9))\/(l\/(l\/l**(-5))*l*l*l*l**(-3\/2)*l))\/((((l*l**0*l)\/l)\/l)**(-50)*(l\/l**1)**(9\/4)) assuming l is positive.\nAnswer: l**(19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -11 - (-11 + 5 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -36.\nAnswer: -61\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3238*d. Let h(g) = -109*g + 37*g + 37*g - 2*g + 36*g. Determine q(h(r)).\nAnswer: 3238*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59738364 and 651.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 16. Suppose -12 - r = -3*m. Let f(i) = -i**3 + 12*i**2 - 13*i - 5. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8370199.\nAnswer: 953, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -582.8?\nAnswer: 116.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 531 = -0*k - 3*c, -c - 317 = -3*k. Suppose 0 = z - 5*l + 5, 5*z + 3*l = 2*l + k. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 - 3\/(-6)). Suppose t + u = -3*t + 9, -n*t = 4*u - 14. Suppose -3*s - t*j + 493 = 0, 0 = 2*s - j - 265 - 73. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 162*q**2 + 3948*q + 26264.\nAnswer: (q + 14)**2*(q + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 355934368?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q. Let p(u) = -21*u. Let r(v) = 11*j(v) + 2*p(v). Let l be 2 - 1 - 11\/(-11). Let o(y) = -3*y**2 - y**l + 2*y**2. Calculate r(o(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 25872185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-738650)\/1122)\/(350\/(-42))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 3*a + 4*m, 4*a + 8 = -3*m. Let x = 7 - 6.91. What is the biggest value in a, -3\/8, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*j**2*y - 123*j**2 + 20*j - 3699*y wrt j.\nAnswer: -170*y - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1285, -1288, -1295, -1306, -1321?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 4*o + 2. Let f be i(3). Let u = 88 - f. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15343482.13 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-882)\/(-111))\/(4\/(-2))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 5*y + 1. Let d(x) = -x**2 + 2*x. Let b(o) = -o**2 - 9*o + 16. Let g be b(-11). Let n be 8\/g*(-9)\/6. Calculate n*c(l) - 5*d(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 4*a - 1. Let j be g(-3). Suppose -j*i + 20 = 3*i. Let h = -3 + i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - -3.6.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6*g + 4*g + 26 - 3*g.\nAnswer: 7*g + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-6) - (-38)\/57. Let f be (50\/3)\/(-5) - (-2 + -1). Which is the nearest to -1? (a) 1 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-10)\/45*(-9)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4*u*w - 168*r**3*u*w**2 + 90*r*u*w**2 - 2*r*w**2 wrt r?\nAnswer: -12*r**2*u*w - 1008*r*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/19, -11, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8546, 8601, 8698, 8843, 9042, 9301, 9626?\n\"Answer: o**3 + 15*o**2 + 3*o + 8527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -26. Suppose 0 = -n - 4*n + z*i, -5*n + 3*i = 0. Solve n*v = -4*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1377ff (base 16) to base 5\nAnswer: 311312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cb5 - -8?\nAnswer: 1cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 7*l = 13. Put l, 2, -2, -3 in decreasing order.\nAnswer: 2, l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4404766.\nAnswer: 2, 953, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 268*z + 11. Let t(v) = 135*v + 5. Determine 2*c(m) - 5*t(m).\nAnswer: -139*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + x + 13, 3*f - 3 = -4*x + 15. Solve -y = -6*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, 70, 21, 2 in ascending order.\nAnswer: -238, 2, 21, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2. Let i(f) = -3*f - 2. Let y(l) = 4*l + 3. Suppose -2 = -3*b + 7, 0 = -m + b - 5. Let p(t) = m*y(t) - 3*i(t). What is p(h(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/54 and 89\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 - 1157*s**2 + 2318*s = 0.\nAnswer: -1159, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 10757201.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 1\/360*h**6 - 1\/12*h**4 + 0 + 0*h**2 + 1\/120*h**5 + 0*h**3 - 3*h. Let x(g) be the third derivative of m(g). Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955517, -1911055, -2866593?\nAnswer: -3822131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -405 - 37?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - 1*sqrt(38)*-6 - (sqrt(38) + 2*sqrt(1368) + sqrt(1368) + sqrt(1368) + sqrt(38)))*3)\/(sqrt(256)\/sqrt(8) - (sqrt(12) - -1*sqrt(12))\/sqrt(6)).\nAnswer: -57*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839339193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 93 in decreasing order.\nAnswer: 93, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 25. What is the lowest common multiple of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/7)*u)\/u)**(-28\/5)\/(u*u*u*u*u**(-2\/7)\/u*u)**(-23\/4))\/((u*u\/(u*u*u*u*(u*u*u**(-1\/5))\/u))\/u**6*(u**(-2\/3))**(1\/34)) assuming u is positive.\nAnswer: u**(102019\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1888 + -1850. Calculate the least common multiple of 196 and j.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*h - 4*o + 2*o, -2*o - 18 = -4*h. Suppose -66 = h*n - 6*n. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 121 = -6*l. Calculate the highest common factor of 85 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose 0 = 3*f + 3*u - 12, -4*f + 10*u - c*u + 7 = 0. Let g(h) = 2*h**f - h**3 + h + 6*h**2 + 3*h. Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61452 by -72.\nAnswer: 1707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68570526 or -68570528?\nAnswer: -68570528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3*d + 1\/4*d**4 + 0*d**2 + 0 + 1\/6*d**3. Calculate x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 583353, 583345, 583337?\n\"Answer: -8*t + 583361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 16, 126, 360, 760, 1368?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Let u be (-2 - -5)*a\/(-6). Let w = u - -10. What is the remainder when 23 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -414503205 divided by -965?\nAnswer: 429537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 397*x. Let r(l) = 40*l**2. What is s(r(f))?\nAnswer: 15880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 71*u + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 889955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -34*m - 2. Let w(a) = 102*a + 7. Determine 6*w(d) + 21*x(d).\nAnswer: -102*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/13))\/j)**(-35)*j*j**(6\/11)*j*((j*j*j**(-17\/4))\/j)\/j assuming j is positive.\nAnswer: j**(-19455\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/10 + r**4\/6 - 20*r**2 - 13*r - 1. Differentiate t(l) with respect to l.\nAnswer: 12*l**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712 divided by -356?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -62*k + 54*k. Let j = 78 - -219. What is the highest common divisor of j and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(176) - 4*1*sqrt(44))\/(-3*(sqrt(256) - (sqrt(256) + (sqrt(256)*-4 - sqrt(256)))) - sqrt(256)).\nAnswer: -sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -811, 5, -13 in increasing order.\nAnswer: -811, -13, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194710411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20754*d**3 - 28940*d wrt d.\nAnswer: -124524*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/40 - (-21)\/(-52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000111101111010111110111 - 1?\nAnswer: 1000000111101111010111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -2.1, -0.5, 196, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 13.079951.\nAnswer: -0.65399755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19 + 3 + (14 - -1)\/(-3). Let r = m - -15. Suppose l - 9*w = -8*w + 8, 4*l + 5*w = r. Which is greater: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 bigger than 3107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1540, 1578, 1642, 1732, 1848, 1990, 2158?\n\"Answer: 13*z**2 - z + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5019, -4994, -4969, -4944, -4919, -4894?\nAnswer: -4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 13*p**2 + 5*p - 13. Let d be c(14). Suppose 384 = 7*q - d. Do 90 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 13*b + 2809. Let t be k(60). Let g be (-10)\/(-35)*14\/4. Is t != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11902819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/480 and -43\/912?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o**2 + 6*o. Let w(g) be the second derivative of -g**4\/12 + g**3\/6 + 2*g - 367. Determine n(x) - 6*w(x).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47.982 - 50.9407. Let x = 0.0413 - c. Let z = 13\/4 + -133\/36. Sort -4\/3, x, -4, z in decreasing order.\nAnswer: x, z, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -981*p + 1069. Let y be d(39). Round y to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15672*m**3 + 12217*m**3 + 1358*m**3 + 1271*m**3 + 16458*m**3.\nAnswer: 46976*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 42 - 35*x + 33*x + 0*x.\nAnswer: -10*x - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = 4*v, 5*v - b - 1 - 9 = 0. Let h be (-15)\/(-12) - v\/2. Sort h, 1\/5, -1 in ascending order.\nAnswer: -1, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyhygyhyyhgyhyg. Give prob of picking 4 h.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -275. Which is the smallest value? (a) 2 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*b + 228*b + 362*b - 46*b + 55918 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5312)\/16*(-123)\/(-492)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + 0.04. Let o = 38.994 + -39. Let r = -4.006 - o. What is the closest to -0.1 in 0.7, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343062.6ml to litres.\nAnswer: 343.0626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -30620039.088347 and 4.\nAnswer: -30620035.088347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102113 (base 4) to base 15.\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x**2 - 1823*x + 42900. Determine a(175).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*r**2 - 21*r + 46*r - 25*r.\nAnswer: 142*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*t = -2*q - 6, t = -3*q - 2. Let k(v) = -v. Let p(j) = -6*j. Let y(b) = q*p(b) - 5*k(b). Let z(d) = -d + 1. Give 5*y(f) - 6*z(f).\nAnswer: f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220)*-1)\/sqrt(4))\/(sqrt(110)\/(sqrt(20)\/sqrt(2)))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d9e5 (base 16) in base 8?\nAnswer: -754745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20079 and 14065.\nAnswer: 2911455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 31. Let w = -34 - x. Sort w, -1, 0.3 in descending order.\nAnswer: w, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**5\/4 + 3*o**2\/2 + 3*o - 1. Let h(i) be the first derivative of b(i). What is the derivative of h(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2299 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*b + 2, 17*b + 2 = -v + 16*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1169 + -1164. Which is the closest to -1\/7? (a) -4 (b) 3\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1176)\/(-18) + (-1)\/3. What is the remainder when (-10)\/v + 28\/13 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2516 - 484. Solve -u*k + 2025*k = 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c6565 - 5?\nAnswer: -c656a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 804214171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 142*l**2 - 1 - 5 - 8881*l + 8878*l to the form s*l**2 + i + a*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 150945.58 to the nearest one thousand.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*n + 5*n**2 + 2*n**2 - 17*n + 0*n**2 to k*n + l + d*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (5 - (3 + -1)). Let q(k) = k**2 + k. Let w(y) = 2*y**2 - 6*y + 19. Let l(c) = -3*q(c) + w(c). Let f be l(-11). Put s, 2, f in decreasing order.\nAnswer: 2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 9. What is the remainder when w is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvtmrvrvttvrmvrvr. Give prob of picking 1 m and 1 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.9 + -35. What is the biggest value in 1\/8, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16.6. Let i = 4 - k. Let j be 0 + 14\/(-6) + 1. Which is the closest to 1? (a) -4 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030 by -16483.\nAnswer: 1030\/16483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18540904.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1237 = 3*z, 845 - 220 = 2*w + 5*z. Suppose w = -x + 284. Suppose 4*h = -4*k + 28, 3*k + 9 = 2*k + 3*h. Sort x, -4, k, -1.\nAnswer: x, -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (24 + -8) - -5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*18\/(-12960)*16?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:56 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3) - -4)*162. Suppose -w = -5*n - 27, 5*w + 3*n - v = n. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:29 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, t: 1, g: 2}. What is prob of picking 2 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19276 and 27413.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*c**3 + 940*c**3 + 6*c - 8*c + 3*c.\nAnswer: 739*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -61. Let m(y) = -11*y + 3 + 10*y - h*y + y**2. Give m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1755 and 1487655.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1296 to the nearest 10.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, -61\/4, 3 in descending order.\nAnswer: 4, 3, 0.3, -61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/17)\/(u**(-1\/13)*u) assuming u is positive.\nAnswer: u**(-243\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 26465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + 401. Suppose 5*g - 6 = 4. Suppose 0*x + g*x = 10. What is the least common multiple of q and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a - 9. Let l(h) = -13*h + 13. Suppose 0*d + 4*d = -24. Let x(s) = s**3 + 6*s**2 - s + 1. Let c be x(d). Let y = c + 0. What is y*j(r) + 5*l(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6540 - 11168. Let m be (-1)\/(-2) - (-17)\/(-2). Is ((-2)\/m)\/((-13)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 16631205?\nAnswer: 2\/16631205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -47 and 299.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 3, y: 6, b: 1, e: 3}. What is prob of picking 1 b, 1 w, 1 y, and 1 e?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92652 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(38)\/sqrt(2) + 0.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + 24. Calculate the remainder when g is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxixxay. What is prob of sequence yi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2733 and 259.\nAnswer: 2992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 101.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5*d**(-2\/65))\/(d\/(d\/(d*d\/d**9))*d**(-5\/2)) assuming d is positive.\nAnswer: d**(711\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9008, 18313, 27728, 37253, 46888, 56633, 66488?\n\"Answer: 55*k**2 + 9140*k - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 11:49 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9103140 divided by -2275785\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17114 = 4*a - 5*s, 59870 = 14*a - 5*s + 2*s. What are the prime factors of a?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*b - 290 - 810 + 160. Put b, 3, -44, 7, -4 in decreasing order.\nAnswer: 7, b, 3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793104802 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1142\/105 + -220\/21. Let l = 0.11 + -0.05. Let a = -9.94 - l. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, l: 10, e: 1, k: 1}. What is prob of sequence ekj?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2781 minus 0.5?\nAnswer: -9.7781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 364886 a multiple of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*c + 25873, 8651 = t - 0*t + 4*c. What are the prime factors of t?\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**4 + 9*x**3 - 3*x**2.\nAnswer: 3*x**2*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 1 + (25 - 22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9710 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from tmjttjzzztzjtztmzj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.96 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -11. Suppose -v*j + 22 = -4*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 + 0.2. Let m = -2 + 3. Let g = m + v. Which is the smallest value? (a) -1 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/163)*s*s\/(s**(-5)\/s*s) assuming s is positive.\nAnswer: s**(1139\/163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5*h - 3. Let n(s) = -s**3 - 3*s**2 + s - 3. Let w be n(-3). Let r be l(w). Suppose -r*y = -0*y - 18. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1571 = 20*z - 4009. What is the highest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - x + 17 - 5 - 7*x - 4*x.\nAnswer: 3*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {n: 2, m: 1, z: 4, q: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j. Let f be (-2)\/5*(0 - 5). Let x = -161 + 167. Let m(v) = -x*v**2 + 11*v**f - 3*v**2. What is k(m(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134 - 667 = 295*t - 621 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)*2\/4. Let r(j) = k*j - j + 5*j - 3*j. Let v(q) = 11*q + 9. Let f(x) = 76*x + 60. Let b(w) = 3*f(w) - 20*v(w). Determine r(b(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*p + 866*p = -24 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 516192161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 divided by 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1)\/c)*c**(-13)\/c)\/((c**(-7)\/c)\/(c*c*c*c\/(c*c*c**(4\/3)*c))) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96, 292, 588, 984, 1480?\n\"Answer: 50*a**2 + 46*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2484 - -5964. Let z = r - 20819\/6. Which is bigger: 9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -31541, -3 in ascending order.\nAnswer: -31541, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 1044*o**2 + 181656*o + 10536048.\nAnswer: 2*(o + 174)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 4*g + 15. Let m be h(-4). Let o = 5 - 3. What is the closest to o in m, 2\/15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -1. Let z = j - 3. Let y = -9 + z. Which is the smallest value? (a) y (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20307666 and 125240?\nAnswer: 6262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 3*q + 0*q)*(-2 + 1 + 8*q**2 - 457*q**3 + 548*q**3).\nAnswer: 637*q**4 + 56*q**3 - 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m = 45*m - 26*m + 50. Let w(z) = z**2 + 79*z - 417. Give w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*b - 3267312 = 7363938. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -171 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 24*c**2 + 196*c - 264.\nAnswer: -4*(c - 3)*(c - 2)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334*g**2*q*r + 10*g**2*r - g*q*r - 2*g*r - 2*q*r - 59*q + 71*r wrt g.\nAnswer: 668*q*r + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*k - 28 = 0, -12*g + 11*k - 13*k = -14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(-23))*y**(-6) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 5e0?\nAnswer: 5dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13700 - 28482 - 65618 = -50*a. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*w**4 - 96*w**2 + 96*w**2)*(1 - 1 + 2*w).\nAnswer: -110*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.58 + -274.42. Which is greater: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + x = 17, -2 = -2*n - x + 9. Solve n*y - 5 = -29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -69424?\nAnswer: 69423.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 5) to base 12.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**4 - 3*r**4 + 0*r**4 + (-1 + 2 - 3)*(2*r**4 + 0*r**4 - 3*r**4) + (r - 3 + 3)*(-1 - 3*r**3 - 1 + 5*r**3).\nAnswer: 7*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3278, 6558, 9838, 13118, 16398?\n\"Answer: 3280*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f*f\/f**(-1\/4))\/f)\/f*f)**(3\/26))**(8\/15))**12 assuming f is positive.\nAnswer: f**(108\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r, 759*r + 3297 = 3*x + 765*r. What is the remainder when x is divided by 343?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -1222, -3535, -7888, -14965, -25450?\nAnswer: -40027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1387 (base 9) to base 11\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -541, -1505, -2469, -3433, -4397?\n\"Answer: -964*y + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37988, 303905, 1025658, 2431157, 4748312, 8205033, 13029230, 19448813?\n\"Answer: 37985*b**3 + 8*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 15. Let p be (-2)\/n*3*1. What is the second derivative of -1 + 1 - 2*b - b**p wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/3 + 2496\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 55 = 3*r. Calculate the remainder when 87 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y. Let f(z) = -72*z**3 - 60*z. Let k(i) = -120*i**2 - 1100*i. Let q be k(-9). Determine q*a(u) + 3*f(u).\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from teccctethke.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 (base 10) in base 6?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1084, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59, 3\/4, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/4 + 3*w\/4 - 9\/2 = 0 for w.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 373197.78 milliseconds?\nAnswer: 0.00431941875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/21 - 6\/7. Let y = -0.1127 + -0.8873. Sort 1, y, -1\/27, p.\nAnswer: y, -1\/27, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47176094 and 63.\nAnswer: 424584846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 6*k - 49. Let t(h) = -h**2 - h + 8. Suppose 11 = -x - 5*y - 13, 0 = 2*x - 5*y + 93. Let l(m) = x*t(m) - 6*a(m). Factor l(g).\nAnswer: 3*(g - 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77243231 take away -26297?\nAnswer: 77269528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543105 rounded to the nearest 1000?\nAnswer: 543000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t + 36. Let f be r(3). Let v(n) = -4*n**2 + 0*n**2 + 3*n**2 + 8*n + 12. Let z be v(f). Solve 4*u = 5*u - 2*w - 6, 2*u + w + z = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -3, -33\/43, 3\/2 in ascending order.\nAnswer: -3, -33\/43, 0.5, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2026 * -0.3\nAnswer: 607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31049134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24 - 5)*(0 + 2). Let a = h - 20. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.51 and 7675504.92.\nAnswer: 7675507.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6089572 divided by 1.\nAnswer: -6089572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*z - 5*z + 312, 4*z + 3*c = 268. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 388\/(-40)*(-1)\/2 and 51\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = -o + 579. What is the highest common divisor of o and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 s when three letters picked without replacement from {f: 1, s: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/6 + 19*f**2\/2 - 153*f. What is the remainder when 95 is divided by m(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**3 + 355*u + 46*u**2 - 13*u**2 - 33*u**2 - 2*u**5 - u**5 wrt u.\nAnswer: -60*u**3 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*p - 2*p. Let v = 7 - p. Let i = 12 - v. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 5 (c) 19 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a factor of 27313431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5360004 - 9?\nAnswer: -5360013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + ((-2)\/(-10))\/((-6)\/(-110)). Let u = -0.5 - 3.5. Sort n, 2\/7, 0, u in ascending order.\nAnswer: u, 0, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 24*t**2 + 103*t + 93. Let c be b(18). Factor -1\/4*l**4 - 1\/2*l**2 + 3\/4 + l**c - l.\nAnswer: -(l - 3)*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 2. Let v be q(-7). Let t = 11 - v. Let o be (2\/4)\/(12\/t). Which is the second biggest value? (a) o (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 4*r + 705*r**3 - 349*r**3 + 780*r**3 + 2*r.\nAnswer: 1139*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**35)**(-22)*w**(9\/5)\/(w\/(w*w\/((w\/(w**(-26\/7)\/w))\/w))) assuming w is positive.\nAnswer: w**(-27017\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -304.2. Round c to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31652 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -40, -57, -78, -103, -132?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -224734, -224728, -224708, -224668, -224602, -224504, -224368, -224188?\n\"Answer: b**3 + b**2 - 4*b - 224732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18741553 minus -179?\nAnswer: 18741732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1 - (-2)\/2. Let m = 0 - 3. Let h(r) = -r. Let i be h(m). Sort 2, l, i in decreasing order.\nAnswer: i, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 448, 4, 1, -5, -2 in descending order.\nAnswer: 448, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 m when four letters picked without replacement from mggmvavttuttmttvttvv.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.0113mg in tonnes?\nAnswer: 0.0000007600113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.821114 minutes in nanoseconds?\nAnswer: 109266840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -23\/19312064 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let v be 4\/(-8)*-4 + 3. Suppose 3 = m + 2*r, m - r + v*r + 5 = 0. Let h(g) = m*g - 25*g + 14*g + 3*g**2. What is h(f(j))?\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:46 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -6, 29, 91\/2, 1\/25?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35011, 35015, 35023, 35035, 35051, 35071, 35095?\nAnswer: 35123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2101*k + 2612*k + 7*k**2 - 3*k**2 to t + q*k + p*k**2 and give q.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001401334 to six dps.\nAnswer: -0.001401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 11591.7159 to the nearest ten.\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2401 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ac57f - -3?\nAnswer: ac582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 787*q + 1 - 2*q**2 - 6*q**3 - 776*q to the form d*q**2 + j*q + u*q**3 + w and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43\/41? (a) 1 (b) -1.26 (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*l - 1267*l = -100 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/13)\/o**(2\/35))\/((o**(1\/9)\/o)\/(o*o**(-2\/3)*o)) assuming o is positive.\nAnswer: o**(7606\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*x + 5*r, -5*x - 3*r + 8*r + 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30492, -30461, -30432, -30405?\nAnswer: -30380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.152461 * 0.2\nAnswer: 0.0304922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 3 - -25 - 12 - (-45 - 3)) + 4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 815, 816, 817?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 434, 687, 1030, 1457?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(84)\/sqrt(588) + sqrt(448)*-6)**2.\nAnswer: -224450\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 15) to base 4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -17.869.\nAnswer: 17.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:50 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-228519)\/(-6)*-1*16\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.91.\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:16 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-51 - -61) + -2 + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 2159. Let i(q) = 105*q + 2. Let p(y) = 158*y + 3. Let k(h) = 3*i(h) - 2*p(h). Determine x(k(a)).\nAnswer: a - 2159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*z + 3979*k**2 + k - 44785*z + 18 wrt z.\nAnswer: k**2 - 44785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a**(-1\/11)))\/a)\/a)\/((a**(1\/5)\/a)\/a))**(-13\/4)*(a**(-1\/4))**(-1\/6)\/(a*a*(a\/(a*a**(3\/5)*a*a*a)*a)\/a*a**(3\/8)) assuming a is positive.\nAnswer: a**(107\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6639630 and 21598.\nAnswer: 6661228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 1668*g**3 - 144234*g**2 - 26105004*g - 76971627 = 0 for g.\nAnswer: -83, -3, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*n + 47*n - 99 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 329913489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 371772 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 5*g**2 - 2*g. Let q(i) = 11011 + 4*i**2 + 2*i - 11011. Suppose -2*r + 16 = -4*o, 0 = 2*o - 3*r - 2*r + 24. Give o*m(n) - 3*q(n).\nAnswer: 2*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 d when three letters picked without replacement from ddvdsdv?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let j(c) = -5*c - 3. Give j(x) + r(x).\nAnswer: -4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**5\/7 - 33*i**4\/7 + 117*i**3\/7 - 183*i**2\/7 + 132*i\/7 - 36\/7 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or 31?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 452, 955, 1648, 2525?\nAnswer: 3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j - 2. Let t be y(-4). Let z be (t\/(-5))\/((-5)\/(-25)). Is z less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3999723 + -3999606.99949. Let g = 97.4 - -18.6. Let o = g - p. Round o to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*r + 78 = 0, 2*r - 58 = -0*w - 4*w. What is the smallest common multiple of w and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -14, -79, -214, -443, -790, -1279, -1934?\nAnswer: -2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6617713?\nAnswer: 29, 228197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.266099.\nAnswer: 0.798297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 3*k + 25. Let q(u) = -u**2 + u + 13. Let l(s) = -2*b(s) + 5*q(s). Let i be l(-4). Solve -i*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.454 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 4369*r + 1142742. What is u(434)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u. Let i be z(14). Suppose -5*b + 157 = 3*f, 4*b = 3*f - 0*f - i. Suppose 2*y + 5*c = f, -y + 0*c + 28 = 4*c. Which is greater: 13 or y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 56?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8302 is divided by 441?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 + 146. Suppose -p*z - 2316 = 15284. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 6 - ((-4 - -1) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10*g**3 + 3*g**2 + 3. Let m(p) = 9*p**3 - 4*p**2 - 4. Give -4*b(l) - 3*m(l).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1463\/(-95) - -12) + 38803 + 6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcccymuyccnclc. What is prob of sequence cly?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from {h: 7, n: 2, w: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(-1)*2. Let l(a) be the first derivative of 7*a**3\/3 - 3*a**2\/2 + 3*a + 32. Is 25 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974468 divided by -18137?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Suppose 4*p = 3*x + 8, -p + h*x = x - 2. Suppose -p*b + 10 = -2*s, -2*s + 10 = -4*s. What is the smallest value in b, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.546035 decades to months.\nAnswer: 1025.5242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.027 (b) 0.4 (c) -21\/46 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1152, -1149, -1136, -1107, -1056, -977, -864?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 3*g**2 - 3*g + 10. Calculate q(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6 - 562*b**5 + 2195*b**2 wrt b.\nAnswer: 120*b**3 - 33720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 23*w = -785, 6948*w - 65 = 3*n + 6946*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*d - v - 2*v, 5*v = -2*d - 77. Let u = d - -11. Let m = -12 - u. Solve 3*w = -4*z + 29, -2*w + 9 = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 12*j + 6. Let m be a(-7). Let o be 46\/8 - (m\/(-16) + 1). What is the greatest common divisor of 9 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2433.38 * 6.\nAnswer: 14600.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 1\/2, 2, -35, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -222 (b) -2\/3 (c) 0.01 (d) 3\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 6 = 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2572055535.\nAnswer: 3, 5, 7, 43, 79, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 265893 * 0.3.\nAnswer: 79767.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 51, 73, 111, 171, 259, 381?\n\"Answer: y**3 - y**2 + 8*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45677.63 nanograms in grams?\nAnswer: 0.00004567763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3 (b) -4410 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) 0.3 (c) 4 (d) -0.2 (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51365\/13 + 3951. Let f = 0.2 - 0.2. Which is the biggest value? (a) 5 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 17300?\nAnswer: 1003400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -8. Let x = q + -11. Suppose 6*c + 15 = c, x = 2*t + 2*c + 6. Solve -2*j - 2*n = -4, -4*j - n + 1 + 4 = t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110065 divided by 5.\nAnswer: -22013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/875 + -16489\/2625. Calculate the common denominator of q and 25\/51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 888 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Suppose 0 = i - 4*a - 21, 3*i + 0*a + w*a + 5 = 0. Solve r + 1 = 0, 0 = -3*o + r - i*r - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -3.6. Let g = -44 + 58. Let l = -18 + g. What is the second smallest value in -0.6, 3, k, l?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32783 is divided by 3642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmh when three letters picked without replacement from {m: 2, r: 4, t: 4, h: 3, j: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 333. Give a(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 106. Let g(p) = -p**2 - 7*p - 7. Suppose -i + 0*i = -l - 1, 8 = -2*i. Let b be g(l). Solve -m*t + b + 13 = u, u = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2345 and -119\/4020.\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(0 + 0 - q**2) + (-q**2 - 4*q**2 + 3*q**2)*(1 + 11 - 7) to t*q**2 + w*q + o and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -14*l + 8. What is the remainder when 7 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 732882110.911 from -349.\nAnswer: -732882459.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-4))\/(7\/(-8)). Let x be -2 - (48\/(-9) + 2). Let h = -39\/85 - -1\/17. Which is the nearest to j? (a) x (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1338 and 17511.7555?\nAnswer: 18849.7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1414406 (base 7) to base 14.\nAnswer: -4cb76","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/3 + 3559*a\/3 - 1186 = 0.\nAnswer: 1, 3558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) -0.1 (c) -321 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 67.6, -1\/6, 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*q**2 + 24*q**2 - 20*q**2 + (8*q**2 - 6*q**2 - 6*q**2)*(0 + 2 - 6) in the form d + v*q**2 + s*q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1 (b) 0.39 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*2 + sqrt(56))\/sqrt(8) - -1*sqrt(343)) + (sqrt(21) - -2*sqrt(756))\/sqrt(3).\nAnswer: 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73222 (base 8) in base 11?\nAnswer: 20895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 2?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != 257\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -63*p**2. Let i(k) = 27*k**2 - 3*k. What is i(c(d))?\nAnswer: 107163*d**4 + 189*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = 3*p + v - 0*v, -p - 179 = -2*v. Let r = -69 - p. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*l = 492, -4*l + 2403 = -6*y + y. Let i = y - -507. Solve -4*n + 7*g - 2*g = -i, -4*g - 17 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*n + 261*n = 2835. Calculate the remainder when 324 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9780 - -20435. Suppose -l = -15*g + 3850. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-138)\/(-135)*3 - (-448)\/(-320). What is the closest to 2 in l, 3, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((-1)\/((-3)\/9))\/(-1). Let y be (-2)\/8 + (-114)\/(-8). What is the highest common factor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1800)\/6)\/(-6)*(-3336)\/2780.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -7, -15, -25, -37, -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 2\/5 (c) 8 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - x. Let z be k(-2). Suppose 3 = -3*h, -2*h - z = -2*y - 3*y. Suppose 4*c + 2*m = c + 26, y = 4*m. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 783 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30438976 is divided by 322.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121171 + 0?\nAnswer: 121171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15444000 rounded to the nearest one hundred thousand?\nAnswer: 15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose -4*i + 2*c + 22 = -z, -3*c + 47 = 4*i. Suppose -w + 4 + i = 0. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 9:13 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.3 (c) -11 (d) -841 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053)*-2 + sqrt(1053))*3)*4)**2 - ((sqrt(1573) - (sqrt(1573) + -2 + sqrt(1573))) + -2 + -2)**2.\nAnswer: -44*sqrt(13) + 267991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379739 and 256457?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1021011111?\nAnswer: 1021011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from wswwwwsswwwwws.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/36*-8*2. Let u(b) = -3*b**3 - b**2 + b - 2. Let p be u(-2). Suppose -c*t - 4 + p = 0. Solve -4*r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83069809 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147\/(-98)*1\/33?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -126. Let a = 42 - f. Suppose a = -3*n + 2*m + 40, -2*n + 5 = 4*m - 27. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/27)\/(k*k\/k**(-6)))\/(k**(1\/4)*k*k\/(k*k**(-2)*k)) assuming k is positive.\nAnswer: k**(-1115\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idiiidi. What is prob of picking 1 i and 1 d?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109678016?\nAnswer: 2, 7, 17, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20)\/sqrt(4) - (((sqrt(5) + 0 + sqrt(15)\/sqrt(3))**2 - sqrt(5)) + sqrt(5)) - (sqrt(720)*-2 + (sqrt(30)*-2 + sqrt(30) + sqrt(30))\/sqrt(6)).\nAnswer: -18 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3eb0a (base 16) to base 10.\nAnswer: 256778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 6) in base 11?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*i - 254 = -3*g + g, 2*i + 4*g + 10349 - 10281 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 857640 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8256 is divided by 1576.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102093248 and 327584.\nAnswer: 11296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose 3*u - 11 - 10 = o. Let i be 22\/7 + 368\/(-322). Solve 0 = -u*t + 9*t - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 4. Let l be (-11)\/(9\/6 + m). Let s = l + -8. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -34*i + 5. Let l(f) = 2*f**2. What is l(p(t))?\nAnswer: 2312*t**2 - 680*t + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5)*(-x**4 + 0*x**4 + 0*x**4) + 143*x**4 - 82*x**4 + 159*x**4 to r*x + k*x**2 + p + l*x**3 + c*x**4 and give c.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.7*-0.3.\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -8490293.\nAnswer: -11037380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 157*k**3 + k**2 - 271*k?\nAnswer: 60*k**2 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k**2 - 377*k - 783. Give m(31).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -188*r**2*t + 2*r*t**2 + 109*t**2 wrt r?\nAnswer: -376*r*t + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14d2e1 (base 15) to base 13.\nAnswer: -293113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-252)\/258) + (-8)\/14. Let n = -60 - -62. Which is bigger: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 34*f = 74. Suppose 4*l - 3*n = 164, 0*n + 164 = 4*l + f*n. Let q = -9 + 21. Calculate the remainder when l is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.14? (a) -5 (b) 0.5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 = 4*x, 12 = -3*x - 6*d + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 1 + 1)*(6*j**3 + 7*j**3 - 7*j**3).\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2130215.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/244 and -85\/8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1678483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 2*a + 17. Calculate w(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005637 to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*2*-5 + sqrt(68) + (sqrt(68)*-1 - sqrt(68) - sqrt(68))*5)\/((sqrt(44) + sqrt(3564)*-2)\/sqrt(11))*-6.\nAnswer: -132*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - x - 5*x)*(14 + 10 + 0)*(-6 + 3 + 1) to the form k + m*x and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k - 50*k**2 - 13\/24*k**4 + 0 + 41\/6*k**3. Differentiate s(m) with respect to m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 35*b - 49 - 256 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 804.704707 to zero decimal places.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 - 2645140*l**2 + 108454186*l + 111099324 = 0. Calculate l.\nAnswer: -1322611, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 1461, 3280, 5825, 9096?\nAnswer: 13093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*(-10)\/(-3). Suppose -2*b + 12 = -2*c + 2*b, -17 = p*c + 3*b. Let f = c - -6. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvr when three letters picked without replacement from tqjzvzvr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4890*d + d**2 + 2447*d + 2441*d + 9*d**4 + d**2 in the form m + s*d**4 + z*d**3 + i*d**2 + o*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 87*t**2 + 27*t - 61. What is the remainder when y(2) is divided by 108?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101 + 0?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let y(z) be the third derivative of -13*z**4\/12 - 2238*z**2. What is -5*p(u) + y(u)?\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9285 + -9280. Calculate the least common multiple of 3902 and s.\nAnswer: 19510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 46548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5458 or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 12 = -5*q. Suppose -4*j + q = -2*f, -3*f = 2*j + f. Suppose -3*z - j*z = -65. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321778555 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2753, 21759, 73331, 173753, 339309, 586283, 930959, 1389621?\n\"Answer: 2714*j**3 - j**2 + 11*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprppparpppppppppar. What is prob of sequence rp?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 divided by -2464?\nAnswer: -1103\/2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192 + 224. Let j be 34 + 2 + 1\/(-1). Let x = j - l. Calculate the highest common divisor of 24 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 50. Let j be w(0). Let z = j + -15. Let b = 50 - z. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59880 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 1. Let x = 33.9 + z. Let o = 63 - 62.5. Which is the second biggest value? (a) x (b) 3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4337, -4338, -4339, -4340?\n\"Answer: -j - 4336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 421 + 5?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54734441 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 42. Let j be i(-12). Calculate the highest common divisor of j and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9 = -0*x - x, -1 = -3*p - 4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26862 divided by 1.\nAnswer: 26862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2022 + 0.1022. Let r = -8 - -11. Let s = r + -3.3. What is the nearest to -0.1 in -4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 61, -0.06 in descending order.\nAnswer: 61, 1\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -40. Suppose -z = -4*o, 0 = -5*p + o + 2*o - 987. Let k = 306 + p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + q - 2. Let z be g(-2). Let r = z - -24. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 71 = -4*s, 2*s - 5*j - 10 = 9. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -16*d**2. Suppose -55 = -4*q + r, r = 3*q - 2*r - 48. Suppose -q*x + 11 = -2. Let v(l) = x + 4 - 5 + l. Determine v(y(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 6920*y**4 - 37260*y**3 + 3511510*y**2 + 13615895*y - 381349950 = 0.\nAnswer: -17, 10, 19, 1389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.162121l in millilitres?\nAnswer: 2162.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2)\/6*-3. What is the first derivative of -2*r + t + r - 1 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 3 (c) -3.3 (d) 1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 108*l - 2300. Give b(-31).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -999 (base 12) to base 10\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*s - 6*f, -7*s = -12*s + 2*f - 39 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1 + 0 + 5. Suppose -4*t + 2*t = 2*f - 6, -f = -2*t - i. Is (2 + 146\/f)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 - 29*w**2 + w**2 + w + (4*w - 2*w - w)*(-2*w + 0*w - 3*w) to the form n*w + r + b*w**2 and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*w + 62291 - 6203 = 1852 for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**4 - 129980*n**3 + 779380*n**2 + 8316320*n + 12475200 = 0.\nAnswer: -4, -2, 12, 25990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1, -121, -0.8, -0.1, 6, 0.047?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 + 1244. Suppose 7*u + n = 10*u. Let t = u - 5038\/15. Which is the third smallest value? (a) t (b) 3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a centimeter in millimeters?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*sqrt(152))\/sqrt(8) + (sqrt(114)\/sqrt(6))**2 + -3 + 1*((sqrt(2299) + 1)**2 + -4) + -5.\nAnswer: 21*sqrt(19) + 2307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 230.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2422*r**5 + 57*r**2.\nAnswer: 145320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -880 - -2104. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 12. Let l(s) = 4*s**2 - 9*s - 7. Is l(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18246806?\nAnswer: 2, 9123403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = g + 5*x - 212, 5*x - 25 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54299 divided by -2.\nAnswer: 54299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2. Let k(l) = -l**3 + 10*l**2 - 17*l + 10. Let o be k(8). Let i(d) = -8*d**o - 7*d**2 - 3*d**2 + 17*d**2. Determine i(c(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**6 + y**2 + 7. What is the second derivative of q(a) wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2090968 to the nearest ten thousand.\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.5359 millilitres to litres.\nAnswer: 0.5265359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.178 * -0.2.\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/10 + q**4\/3 - 15*q. Let d(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 27 - 15)*(-5 + 3 + 6)*(-1 + 2*x**2 + 2*x + 1) to z*x + a*x**2 + f and give z.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + u = 208. Suppose -61*v = -62*v + 75. Suppose 4*j + 41 - 132 = -r, 3*j + 3*r - v = 0. Is j not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-1)*(-19720)\/696?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*x + x - 2*x)*(-22*x**2 + 0*x**2 - x**2) to the form p*x**3 + t*x + n*x**2 + c and give p.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oodd when four letters picked without replacement from ooodooddoooood?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -140, -2, 5, -15, 21 in decreasing order.\nAnswer: 21, 5, 1, -2, -15, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3363 = 11*v + 613. What is the remainder when v is divided by 53?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.3 (b) 85 (c) 3 (d) -2 (e) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bue when three letters picked without replacement from {u: 2, b: 2, r: 11, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8\/7)\/d)\/d*d**(-4))**(-4\/7) assuming d is positive.\nAnswer: d**(200\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*z - 15, -z - 4*z = 4*r - 25. Let c be (6 - z)\/(-1 + 0). Let t = 2 - c. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = 10*n + 15*n - 55*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 19*j**2 + 20*j - 15. Let h be x(-19). Let s = 671 + h. Suppose -176 = -4*z + s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49037727 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -490.756 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*s - 2*s + 4*s)*(2*s - 5*s + s) + (-11*s + 16*s - 8*s)*(31*s - 11 + 11))*(s + 5*s - 4*s) to the form b + w*s**2 + q*s**3 + t*s and give q.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 3, -5*z = -4*y + 189. Calculate the remainder when y is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127921, -255761, -383581, -511375, -639137, -766861, -894541, -1022171?\nAnswer: -1149745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 56*i**2 + 210*i - 117. What is c(52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**3 - 11*o**2 + 16*o + 16. Does 14 divide m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53432661.\nAnswer: 3, 83, 214589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z**(-34)*z*z))*z*z**27*z*z)\/((z*z**(-23\/4)\/z*z)\/(z*z**(-23)*z)) assuming z is positive.\nAnswer: z**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9708 divided by 2427.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 1514 - 118 = 0. Let q = x - -286. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 + 2*o**5 + 2*o**5)*(-19 - 40 + 13).\nAnswer: -92*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 136 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 30*g + 18. Let o be l(-29). Let m(v) = -8*v - 91. Let j be m(o). Which is the second biggest value? (a) 9 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 4*a. What is the common denominator of -95\/18 and a - (201\/(-30) - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*o = 37, o + 5 = 4*d - 14. Solve 2*b - 2*q - d = 0, -2*q = -4*b + 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 6. Let b(v) = 15*v + 31. Let n = 13 - 11. Let x(o) = n*b(o) + 11*s(o). What is x(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8723*k**2 - 5*k + 8733*k**2 + 12*k - 2 as c + y*k**2 + h*k and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -1*(-12)\/3 - -23?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8806 and 241610?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2020022.68 to the nearest one hundred.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*-1)\/((sqrt(225) - (sqrt(225) + -2*sqrt(225))) + sqrt(225)).\nAnswer: -7*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s, -24 = 4*l - l + 2*s. Let t(v) = -v**3 - 6*v**2 - v + 3. Let h be t(l). Let g be (-10)\/(-3) + (-2)\/(-3). Solve -m + g - h = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 496 = 4*l, -8*z = -9*z + 3*l + 174. Calculate the smallest common multiple of 72 and z.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 * -25.05.\nAnswer: 1427.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0758888 centuries to millennia.\nAnswer: 0.00758888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u + 5. Let f be h(5). Suppose f = -3*i + 2*i. What is the units digit of (6 + -2 + i)*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -3, 16 in increasing order.\nAnswer: -3, 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -672 - -1052. What is the third biggest value in q, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/455 and ((-2 - (-139)\/130)*90\/(-12))\/30.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 1.3. Let n be (-6)\/(-4) - (7\/(-105))\/(4\/(-110)). Put u, n, 0.08 in descending order.\nAnswer: 0.08, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426031, 852024, 1278041, 1704094, 2130195, 2556356?\nAnswer: 2982589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/15)\/((-133824)\/328)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 2945?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*a - 61, t + 61 = 2*t + 4*a. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8 - 23*a - 5*a**3 - 14*a**2 + 4*a**3 + 38*a. Let k be v(-15). Let c be ((-45)\/36)\/((-2)\/k*-1). Solve s + c*p = 3*s + 1, -12 = 3*s + 3*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -41.92. Let d = -0.08 + x. Let z be 10\/15*12\/(-14). Which is the smallest value? (a) 2\/19 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 9 - 47980*f**3 + 2*f + 5 + 47789*f**3 to z*f**2 + d*f + u + v*f**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*a - 21, -5*u = 3*a - 9 - 28 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/88 - (-1)\/(-4). Let j = -11.9 - -12. Let a = -2 + 1.6. What is the second biggest value in a, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -120. Let o be 2\/(-6) + 3\/(-9). What is the second smallest value in -0.3, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k**1*((k\/(k\/(k*k*k*k**(-2\/3))))\/k)**(1\/4))\/(k**(-2\/3)*k**(-5))**(1\/59) assuming k is positive.\nAnswer: k**(253\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*g - 781 = -240*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 313?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79461.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + -145. What is the biggest value in -3, x, 2\/7, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4496 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5477?\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2) + (sqrt(128) + 1)**2 + sqrt(2) + (sqrt(12)\/(3*sqrt(294)))**2.\nAnswer: 18*sqrt(2) + 54686\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83677.83 litres?\nAnswer: 83677830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64604 + 95360. Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4586*u - 4588*u + o + 11 = 0, 5*u - 35 = 4*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 53, -27, -177, -403, -711?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*x**2 - 107*x**2 + 58*x**3 + 27*x**3 + 223*x**2 - 107*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 34, 13, -48, -161, -338, -591?\n\"Answer: -2*h**3 - 2*h**2 + 27*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from ubuyccuucieuuyucc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 15*o**2 - 12*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d + 418 + 247 = 0, p + 4*d + 133 = 0. Let g = -119 - p. Suppose -i = i - 32. Calculate the lowest common multiple of g and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32813963 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4, 2*i - 6*i - 2*o = -12. Solve -i*h - 20 - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k**(-3)\/k*k)\/(k**(-4\/5)\/(k\/(k*k*k*k**(-4\/7)*k)*k))*((k\/k**(-3\/7)*k)\/k**(-1\/13))\/((k*k**1)\/k**8) assuming k is positive.\nAnswer: k**(-73\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/15)\/(1\/(-3)). Let p be 0 - 2 - 14\/(-8). Let f be 3\/75*30\/(-12). Which is the closest to 1\/3? (a) p (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 + 4*z - 12. Let j(y) = 15*y**2 - 8*y + 24. Let x(u) = 3*j(u) + 7*v(u). Let n be x(4). Does 23 divide (n\/9)\/((-14)\/483)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - 1. Let i be g(2). Solve -b + 9 = 3*j - 4*b, j + i*b - 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 249*q - 2. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4068695 is divided by 1264?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 2*z - 2. Let i(p) = -11*p**2 + 1 - 2*p + 12*p**2 + 0 + 3*p. Let l(d) = 5*i(d) + 2*m(d). Let t(c) = c + 1. Determine l(j) - t(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52990359001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let b = -1 + 5. Suppose -b*x = -5*j - 40, 4*x = -x - 2*j + 50. Let k(g) = -4*g - 2*g + x*g - 3*g. What is u(k(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4293, -8491, -12687, -16881, -21073?\n\"Answer: w**2 - 4201*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1066*h**3 + h**2 + 906*h - 13516198 wrt h.\nAnswer: -3198*h**2 + 2*h + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (55 - (92 + -68))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 66. What are the prime factors of k(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from extxtd. Give prob of sequence ttd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1486 times 2345\nAnswer: -3484670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -51 + 11. Let o = -4 - -6. What is the least common multiple of ((-18)\/21)\/(o\/(-14)) and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmtbetttttmtaettt. What is prob of sequence et?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 - 667*b**2 - 1565*b**2.\nAnswer: -2253*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/594300 and 107\/19810?\nAnswer: 594300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 + 5*m**2 - 2*m - 4. Let c(r) be the third derivative of 0*r + 1\/60*r**5 + 0*r**4 + 2 - 1\/120*r**6 + 42*r**2 - 1\/6*r**3. Give -5*c(i) + z(i).\nAnswer: -i**3 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014826 to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627111338?\nAnswer: 2, 7, 31, 1444957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose -m - q + 4 = 0, 0*m - 5*q - 12 = -k*m. Suppose -5*y = -m*x + 783, -2*y - 9 = y. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 2b9274?\nAnswer: 2b9274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 divided by -1?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 9437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-6)*h*h)\/h**1)**45)**36 assuming h is positive.\nAnswer: h**(-8100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8374, -8437, -8500, -8563?\n\"Answer: -63*z - 8311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 173. Let d = 50 + h. What is the remainder when d is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*2 - sqrt(30))\/(-3*sqrt(810) - sqrt(10)) + -1.\nAnswer: -1 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 726 + -724. Which is the closest to -0.1? (a) 0.14 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:20 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1377987 (base 10) to base 14\nAnswer: -27c279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + (-6)\/1 + -41 + -4. Put c, -1, -5, 4 in descending order.\nAnswer: 4, -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-10)*d)))**(-13\/2)\/((d**(2\/29)*d)\/(d**15\/d)) assuming d is positive.\nAnswer: d**(4143\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29010 + 0.2?\nAnswer: 29010.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(285\/912)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 3*k = 23*v + 3, -2*v - 7 = 3*k. Suppose v*r - 4*r = -4*r. Solve r = -3*t + 2*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*h + 11, 3*r = -0*r + 3. Let g be h\/(-30) + 94\/30. Suppose 0 = -g*z - 3 + 63. Solve 2*k = -3*n + k + 5, -z = 5*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 961508.\nAnswer: 3\/480754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t**2 + 1)*(5*t**2 - t**2 - 2*t**2) + 0*t**4 - 3*t**4 + 5*t**4 + 50*t - 18*t**4 - 50*t.\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63782760.\nAnswer: 2, 3, 5, 43, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207676 is divided by 67427.\nAnswer: 5395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -26450717110 to the nearest one million.\nAnswer: -26451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 15. Let u be o(-6). Suppose u*z - 8 = 1. Solve 2*y = z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105848\/351 or -301?\nAnswer: -105848\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbpbpbzbbgzb. What is prob of picking 1 b and 1 z?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 1243*s - 1251*s. Solve -4*i = -h - 13, -i - 3 + 1 = s*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 106 = 5*m - 0*r, -2*m + 43 = r. Let w(p) = m*p - 12*p - 7*p + 2. Determine w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*l + 5 = 271*l. Let x(v) = 2*v - 10. What is x(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnb when four letters picked without replacement from {n: 3, b: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 26.15169 days?\nAnswer: 627.64056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 9. Let u = 16 - r. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -2*r**3\/3 + 3*r**2\/2 - 1109. Let s(u) = u**3 - u**2 + u. Give -2*s(z) + t(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + y + 2, -45*h = -43*h - 3*y + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*3))\/sqrt(11) + sqrt(76)\/(sqrt(64) - sqrt(4)).\nAnswer: -11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45512 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**3 - 7*u**2 + 3*u + 3. Let l(m) = -6*m**3 - 5*m**2 + 2*m + 2. Let n(a) = a**2 - 9*a - 3. Let w be n(10). Calculate w*l(q) - 5*g(q).\nAnswer: 3*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64305, 257222, 578751, 1028892, 1607645?\n\"Answer: 64306*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5787124 is divided by 286?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g. Suppose 6*q = 3*l + 3*q - 24, 2*l = -q + 7. Let c(x) = -12*x. What is l*m(f) + 7*c(f)?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -1532\/9. What is the third smallest value in z, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 80 = c. Let a = c - -99. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 206*n**4 + 3951*n**3 - 18144*n**2.\nAnswer: -n**2*(n - 9)**2*(n + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.02 and -658.\nAnswer: -1329.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11895 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352698 is divided by 450883?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3345 and 4097340?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 - 3*a**2 + 3*a - 27. Let z(n) = -4*n**3 - 2*n**2 + 2*n - 14. Let j(r) = -3*d(r) + 5*z(r). Give j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4245, -3536, -2355, -702, 1423?\n\"Answer: 236*g**2 + g - 4482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmpppppmm. What is prob of picking 3 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 22. Let i(j) = -4*j - 22. Let d(r) = 7*g(r) - 6*i(r). What is the tens digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8\/7)*h)\/h*h*h**7*(h*h**(-2)*h)**(-38))**(-14\/3) assuming h is positive.\nAnswer: h**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 12:50 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -16, -0.015, 0.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 88*w = -14*w + 267, 3 - 6 = w for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, -34.\nAnswer: -34, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4)\/k)\/(k*k**(-5)))\/(k**4*k**4*k))\/(((k\/(((k*k\/k**(2\/7))\/k)\/k))\/(k*k\/k**1))\/(((k*k**(1\/3)*k)\/k)\/k)**(-18\/5)) assuming k is positive.\nAnswer: k**(-367\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*n + 2*d, 4*n - d - 10 = 2*d. Suppose 4*p - 2*s = -226, 7*p - n*p = 3*s - 177. Find the common denominator of 37\/8 and p\/(-6)*1\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:36 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucb when three letters picked without replacement from {b: 3, u: 13, c: 2}?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38739529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325730?\nAnswer: 2, 5, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527936.\nAnswer: 2, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 h when three letters picked without replacement from hlykbkyyy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23252*y - 7753*y - 7749*y - 7744*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 19530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 3*s**3 + 2*s**3)*(0 + 2 - 1)*(-5*s + s + 3*s).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/30*w**5 + 0 - 38*w**3 + 0*w + 169*w**2 - 25\/8*w**4. Find the first derivative of g(y) wrt y.\nAnswer: -4*y - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmdm when four letters picked without replacement from mmmmmmmmdmmmwmm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-1 + -3.\nAnswer: -10*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 101801399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10517 - 0.00993.\nAnswer: -0.1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -32.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:57 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose s*z - 7 = 7. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 8 - -7 - (1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, o: 2, b: 7}. Give prob of sequence bobo.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50\/21 (b) -0.1 (c) 5 (d) -8\/3 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5169*b - 87822. Calculate a(17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60560544*s**5 - 242698*s + 122 wrt s?\nAnswer: -1211210880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let o(z) be the second derivative of 51*z**3\/2 + z + 1. Determine o(c(q)).\nAnswer: 153*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/2))**14)**(20\/3))**(-1\/23))**(-34) assuming g is positive.\nAnswer: g**(-4760\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -9. Let z = 16 + u. What is the units digit of 16\/z - 664\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - 0 - 3) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k**2. Let x(j) = 2*j**2 + 2*j - 3352. Determine x(h(p)).\nAnswer: 392*p**4 + 28*p**2 - 3352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 107\/(-2) - (-3)\/(-6). Let b = l + 59. What is the smallest common multiple of b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/603 and 67\/3147?\nAnswer: 632547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3225695 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175 + -172. Suppose 4*g = g - 33. Let q be (1 - -1)\/2 - g. Solve -7*o - q = -i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -784.6 + 785. Which is the third smallest value? (a) 5 (b) s (c) -50 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + b**2 - 7*b**2 + 3*b + 2*b + 14 - 7*b to g*b**2 + o*b + j and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31260*t**2*u**2 - 5*t**2*u - 2*t**2 - t*u**2 - 286*t + 220*u wrt t.\nAnswer: -62520*u**2 - 10*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1029, 1022, 1001, 960, 893?\n\"Answer: -k**3 - k**2 + 3*k + 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6 - -3) + (62 - 20) + (6 - 1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:52 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -790523*44\nAnswer: -34783012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - 2*sqrt(99))*-2)*-6)\/(-3*sqrt(9)*1 + -3*sqrt(27)\/sqrt(3)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 429999*j**2 - 4*j - 4. Let k be c(-2). Let l be (-50)\/(-4*(-5)\/k). Round l to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(34 + -33). Which is the second biggest value? (a) -3\/4 (b) -2 (c) r (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/6 + 11*j**4\/4 - 6*j**3 + 4*j**2 + 181. Factor v(c).\nAnswer: -c*(c - 2)*(c - 1)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:13 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 0.3 (c) -4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 51\/(-18))*(-2)\/(-14). Which is the second biggest value? (a) -4 (b) 14 (c) n (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -877*r**4 - r**3 - r**2 + 993. Let b(m) = m**3 + m**2 - 2. Let q(h) = -b(h) - s(h). Find the first derivative of q(a) wrt a.\nAnswer: 3508*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 + 266*w**2\/3 + 8710*w\/3 - 8978\/3.\nAnswer: 2*(w - 1)*(w + 67)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1243 - 3836?\nAnswer: -2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 19*g**2 + g - 26. What is w(-19)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1837863 and 94980?\nAnswer: 36757260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.17661mg in kilograms?\nAnswer: 0.00005417661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 9*l - 4. Let v be w(6). Let m = 32 - 71. Let k = v - m. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - 1e4abd?\nAnswer: -1e4ad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p - 35*p - p**2 - 10*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/4 + 5*m**4\/4 - 10*m**2 - 2*m - 195. Determine t so that r(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379402.197 rounded to the nearest 100?\nAnswer: -379400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u*u*u\/u**(2\/5)*u)**(-26)*(u**(-2)\/(u\/(u*u**(-4)*u)))\/(u**(1\/5)*u*u\/((u**(2\/11)*u)\/u)*u) assuming u is positive.\nAnswer: u**(-4159\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 7. Let r(q) = 5*q - 7. Determine -2*r(o) + 3*u(o).\nAnswer: 5*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from uuuluvlluvluv?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 2*j**3 - j**4 + (-j**3 - 2*j**3 + 2*j**3)*(1 + j - 1) + 2*j**4 + j**4 - 10*j**4 as y + m*j**4 + n*j**2 + h*j + o*j**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 1 = -f. Suppose -f*p + 10*p - 54 = 0. What is the remainder when 105 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*x**3 + 11*x**2 - 2*x + 6171 wrt x.\nAnswer: -117*x**2 + 22*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-249)\/12)\/(4103\/894). Let l = -26\/373 + o. What is the common denominator of -79\/4 and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 4, b: 6, m: 3}. Give prob of sequence mbt.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 10*z - 2*z + (z + z + z)*(-2 + 4 - 3) + (-z + 3 - 3)*(3 - 3 + 2) to the form h + n*z and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 1, s: 2, y: 3, j: 3, c: 1}. What is prob of picking 1 o and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 76*p**2 - 86 + 292 - 148*p - 113. What is the derivative of x(c) wrt c?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -381 in increasing order.\nAnswer: -381, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:17 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7163151 grams to tonnes.\nAnswer: 0.0000007163151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/25 + -86\/75. Suppose -5*m = 3*s + 21, -s + 3*m + 1 + 6 = 0. Is c smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 2.6. What is the closest to 1 in -4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 159 = 174. Suppose -41*j + f*j = -16. Calculate the highest common divisor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7*10\/(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 817, -385, -3 in ascending order.\nAnswer: -385, -3, 1, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**5 - b**5 - b**5)*(-2168 + 893 - 3049 + 714).\nAnswer: -10830*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - l + 1 + 13, -10 = 5*l. Let y be j\/10*2\/8. Let m = 2496.7 - 2497. Which is the smallest value? (a) m (b) y (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111000110110010 (base 2) in base 7?\nAnswer: -4101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -1280, -1920, -2560, -3200, -3840?\nAnswer: -4480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8064096251 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 238229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5405 greater than -5405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxqq when four letters picked without replacement from ttqqtqtttqqqqxttqxq.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 737 from -74145.31.\nAnswer: -74882.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1427 * 146.7\nAnswer: -209340.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*x - 43 - 2111, -3*c = -2*x + 1076. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -668 - 4?\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4400, -480, 4\/3?\nAnswer: -4400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3483792 minus 121?\nAnswer: -3483913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*t*w + f**2*t - 19*f**2*w - 2741*t wrt w.\nAnswer: 3*f**2*t - 19*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d + 7*m = 55*d + 324, -3*d - 3*m = 177. Let n(q) = -q - 4. Let f be n(-3). Sort 1, d, f in ascending order.\nAnswer: d, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x. Let c(j) be the first derivative of 5*j**4\/12 + 19*j**2 + 59. Let s(b) be the second derivative of c(b). Give s(r(t)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12944925.\nAnswer: 3, 5, 7, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/3 - 2*x**3 + 4*x**2 - 10*x\/3 + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let u(h) = -1 + h**2 - b*h**2 - h**3 - h**2. Let o be u(-2). Put -1, 4, o in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-376)\/38 + 4 + -3 + 9.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 11. Let n be p(-11). Solve 2*a = -n*a - 2*y + 12, 5*a = 5*y + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 108, -9, -2.\nAnswer: -9, -2, 0, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (1 + -1 + 1). Let y be (2 - (-1 + 3))\/(-2). Let g(x) = x**2 - 209*x + 1803. Let k be g(9). Put 5, z, k, y in decreasing order.\nAnswer: 5, k, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 = -2*l + d, -18 = -3*l - 4*d. Suppose 0 = 2*z + l - 16. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098580 is divided by 699453.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1102021, -2203698, -3305375?\n\"Answer: -1101677*o - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7987*d - 1178 = 7980*d + 2574. Calculate the remainder when d is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -5*n**4\/8 - 2*n**2. Let t(g) = 3*g. Let v = -22 - -26. Let c(l) = v*s(l) + 21*t(l). Let q(j) = -2*j**2. Calculate c(q(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 - (-5)\/2. Let w(s) = 2 + o*s - 2. Let v(u) = -8*u**2 + 3*u + 3. Let y(f) = -10*f**2 + 4*f + 4. Let z(n) = -4*v(n) + 3*y(n). Give z(w(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/11165 and -40\/11.\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + x = 4*y + 17, -3*x + 149 = 33*y - 43*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14388 and 11924.\nAnswer: 3899148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172041136?\nAnswer: 2, 10752571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1 + (sqrt(63) + 2 - sqrt(7)))**2 - (-3*(sqrt(7) - (sqrt(7) + sqrt(28)\/sqrt(4))) + sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: 8*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n + 7. Let x be b(-4). Let p = 44 + x. What is the least common multiple of p and 23?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/5))**(1\/7)*(h\/h**(2\/15))\/(h\/(h*h**(8\/3))) assuming h is positive.\nAnswer: h**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k = -131*k - 44*k - 848 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -9. Let p = 0.7 + 2.3. What is the closest to q in -4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-9 + -3 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 1, g: 3, q: 2, u: 1, v: 1}. What is prob of picking 3 j and 1 v?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13443 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - -9) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -76311, 29, -3 in decreasing order.\nAnswer: 47, 29, -3, -76311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 2 - 0) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60514011 and -0.1.\nAnswer: 6051401.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-25*14\/1400.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4524 by -156.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 5*w**3 - 2*w**3)*(1 + 0 - 3) + 2*w**3 - 9*w**3 - 5*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 42*a**3 + 4*a + a.\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*p - 578 + 1653 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + -1 - 1. Let s be (-1)\/(93\/(-30) - m). Suppose -6 = -13*f + s*f. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 3145251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1300 (base 4) to base 6\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15304*c**2 - c + 50. Let w be d(-6). What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -583 + 12253\/21. Do 1 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11056455 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -4*x**6\/45 + 22*x**5\/45 - 17*x**4\/18 + 8*x**3\/9 - 4*x**2\/9 + 8*x. Find y, given that m(y) = 0.\nAnswer: 1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d*k**3 - 10*d*k**2 + 508*d*k + 2*d wrt k.\nAnswer: -24*d*k - 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 370579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(-1 + 2 + 1 + (5 - 4 - 10)*(0 + 3 - 1))*((2 - a**4 - 2)*(-1 - 6 + 5) + 2*a**4 + 0*a**4 - a**4 + 6*a**4 - a**4 + 5*a**4).\nAnswer: 624*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 = 4*g, -5*m = -3*g + 2 - 1. Suppose 3*l + 40 = -5*f, 40 = f - 6*f + 4*l. Let i = m - f. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2668)\/(-115) + -24)\/(1\/5). What is the fifth biggest value in -19, -2, h, 6, -2\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -0.02673.\nAnswer: -0.034749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 2*-1*sqrt(99) + sqrt(99) + sqrt(99) - (4*(sqrt(99) - -3*sqrt(99)) + sqrt(99) + sqrt(99)))*-3)\/(sqrt(729)*1*5*-1).\nAnswer: -17*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 22*b**2 + 48*b + 55. Let g be j(7). What is the nearest to -0.05 in 3, -24, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 603624 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2244052.500362 + -2244027.5. Let y = 25 - m. Round y to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450) - (sqrt(162) - (sqrt(162)*-3)**2 - sqrt(2)) - (2*(sqrt(32)*-6 - (sqrt(50)*-2 + sqrt(50))))**2.\nAnswer: -1430 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0293905 milligrams in grams?\nAnswer: 0.0000293905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 154\/(-44))*8\/(-30)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (130\/45 - 0) + (4 - 7). Let o = 0.2 - 0.4. What is the closest to 9 in o, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1035211 (base 6) to base 5.\nAnswer: 3123303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751, -1535, -2321, -3109, -3899, -4691?\nAnswer: -5485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.160831394 rounded to three dps?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, h: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1891*f**3 + 5721*f**2 - 20*f + 25. Let z(a) = 945*a**3 + 2860*a**2 - 12*a + 15. Let m(t) = 3*c(t) - 5*z(t). Find the third derivative of m(l) wrt l.\nAnswer: 5688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - 1?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.026.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8 - 19. Let b = 61 + -59. Solve l + b*l = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(7)*1 + -2.\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 135 = -138 - 27 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 685?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2956\/2469 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75752868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 - 58 + 5*p**2 + 2*p**2 - 56 - 6*p**2 to m*p + v*p**2 + t and give t.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 15 = -5*s, 0 = -4*u - 4*s + 12. Let b(p) be the third derivative of -p**6\/120 - p**5\/60 + p**4\/24 + 7*p**3\/6 - 2*p**2. Calculate b(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/12 + 5*x**3\/3 - 17*x**2\/2 - 13*x. What are the prime factors of g(8)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20684, 41250, 61816, 82382, 102948, 123514?\nAnswer: 144080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196955276 by 907628.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2976 + 308898475.\nAnswer: 308898475.2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - ((-2)\/(-4)*4 + -17). Suppose -u - 26 = -10*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1982 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 927.99 + -924. Let g = x + 0.01. Let k be 4\/10 - 8\/(-5). What is the third biggest value in -2\/3, g, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*h + 20. Let x(k) = -25*k**3 - 2*k**2 + 2. Let w be x(h). Suppose 3*a + 0*a - 17 = p, 0 = -5*a + 5*p + w. Let y(z) = -z**2 + 7*z - 6. Give y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 + 283. Which is the closest to 2\/17? (a) -1\/3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3613618 to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.01 - -0.01. Let g = 0.405 - 0.205. What is the nearest to -2 in 1, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-18))\/(1\/(-4)). Solve -14 = -u - c*z + 4*z, -3*u - 5*z = 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 4*m + 41*m**3 - 48*m**3 + 20*m**3 - 4*m.\nAnswer: 13*m**3 - 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 + 3869582.605.\nAnswer: 3869582.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*r - d - 0*d, 3*r = -2*d + 14. Let q be (-42)\/(-18) + 8\/12 + 6. Suppose 14*n = q*n + 15. Solve 6*t - 4*b + n = t, -4*b = -r*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnnlwnnllnnln. What is prob of sequence lnl?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11435 or -11433?\nAnswer: -11433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -19*d - 8\/27*d**3 + 0 + 1\/45*d**5 - 8\/9*d**2 + 1\/27*d**4. Find a, given that b(a) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.0322 + -0.0322. Sort 2\/7, i, -0.23, 6 in increasing order.\nAnswer: -0.23, 2\/7, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112703360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 - 1 = 0. Let r be ((-1)\/i)\/((-15)\/(-9)). Let n be ((-5)\/(-20))\/((-3)\/4). Is r less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 5*k**4\/24 + 32*k**2. Let a(s) be the third derivative of s**5\/60 - 3*s**2. Determine l(a(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -6*d, 0 = -a - 3*d - 1. Let u = 12.87 + 97.43. Let h = u + -110. What is the nearest to 1 in h, 6, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**3 + 71*f**3 - 5 + 240*f**3 + 26*f**3.\nAnswer: 293*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:43 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35945 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -975 divided by 195\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*x + 1625*x + 5986 = 524*x + 584*x for x.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.6. Let u = 10 - 8. Suppose -7*r + 5*r = -4*x - 6, x = 5*r + 3. Which is the nearest to u? (a) 0.1 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2*2 + 2.\nAnswer: -4*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -47 + 885\/20 + (-2)\/(-8).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*140\/(-14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*p = -228*p - 152 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**2 + 47*g**2 - 27*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*(4\/(-48) - 0). What is the second biggest value in u, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - 1222333?\nAnswer: -1222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825 or 827?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*o + 23, 3*o - q - 8 - 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*i - 9*i, 0 = f + i + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-9)\/(-312)*126\/21.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + u - 4. Let d be j(2). Suppose 0 = -f + 2*a + 10, 4*f - d = -4*a - 14. Solve f*v = -2*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c. Let g(m) = 48*m - 131*m + 41*m + 54*m + 2*m**2. Determine g(w(r)).\nAnswer: 392*r**2 - 168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 213100403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhp when four letters picked without replacement from hhhfrphppph.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/7)*b)\/b**7)\/(b**(-9)\/(b**(6\/5)\/b)) assuming b is positive.\nAnswer: b**(152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(91) - sqrt(91)*2)*1)\/sqrt(1008) + 2.\nAnswer: sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 0*z)*(-3 - 4 + 3)*(-5*z + 3*z - 3*z).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-32 - -9 - -21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948841?\nAnswer: 13, 89, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226*d**3*n*t*u**3 - d**3*t*u**3 - d**2*t*u + 100*d*t*u - n*t + 2*n*u**3 wrt d?\nAnswer: 1356*n*t*u**3 - 6*t*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*q + 5, -4*q = 26239*z - 26244*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9) - (-1 - 0))\/(1001\/(-77))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.435ml to litres.\nAnswer: 0.001435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1582222.627 to the nearest one thousand.\nAnswer: 1582000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/3*(-4 + (-4310531)\/87) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14709132 by 2.\nAnswer: -7354566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957194.\nAnswer: 2, 7, 68371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 - 4*j. Give f(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 354*d + 354. What is a(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -581, -872, -1163, -1454, -1745?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 20*v**2 + 5*v + 43. Let j be c(-4). Suppose 6*o - 331 = -j. Put -1, o, 5, 4 in decreasing order.\nAnswer: 5, 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4\/3)\/c*c*c)\/c*c)**(-27)*((c**(-18)\/c)\/c)\/c*c**(-9\/7) assuming c is positive.\nAnswer: c**(-282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = -5*p, -4*x - 1 = 4*p - p. Suppose 254 = p*t + 24. Solve -41*j + t*j - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - m**2 - 3*m**2 + m - m - 2*m**2 + (m**2 + m**2 - 4*m**2)*(3 + 3 - 4) + 4*m - 4*m - 2*m**2 + 1 - 3*m**2 - 8 + 3.\nAnswer: -13*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 9290 - 4017. Let y = -1083 - j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 1101?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 22570743494 - 22570743494.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110243334 (base 5) to base 11.\nAnswer: 2a7118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1887051\/205 or 9205?\nAnswer: 9205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 - 464\/(-2)). Suppose -5*v + 239 = 949. Let f = r + v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -684.7 + 686. Let w = 0.6 + -0.9. What is the biggest value in w, c, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 13*w**4\/12 + 8*w**2 + 18*w. Find the first derivative of k(n) wrt n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 2591, 5851, 10417, 16289, 23467, 31951?\nAnswer: 41741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 149 (c) 12 (d) 4 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -116, -387, -656, -923, -1188?\n\"Answer: c**2 - 274*c + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1040 = -11*v - 977. Let x(h) = 5*h + 15. Determine x(v).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30\/7 of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Let b = 10 + l. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5052 - -90959\/18. Find the common denominator of -55\/246 and o.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 43. What is the remainder when 7\/(-14) - (-127)\/2 - p is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:18 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose -l*h + 26 = -h. What is the greatest common divisor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*w + 28 = 2*t, -50 = -3*t - 5*w. Suppose -7*c - t = -12*c. Calculate the lowest common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8959818*-2.\nAnswer: 17919636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15640 and 58?\nAnswer: 453560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2 - 1. Let d = -9 + 12. Let s(w) = 3 - w - d - 2*w. Calculate c(s(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-2)*1*4*-4)\/(-5*(sqrt(12) - (sqrt(48)*4 + sqrt(12)))*-5).\nAnswer: -2*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 1068*a - 142578 = 0 for a.\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/552*4*19\/(285\/(-10))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39326261 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176\/9 or 21\/20998?\nAnswer: 21\/20998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*p + 101 + 6, -4*y - 48 = -p. Let b be 704\/14 + -1 - (-32)\/(-112). Let c = b - p. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016.57541 rounded to one decimal place?\nAnswer: -1016.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 5*g + 3*g + 32)*(3*g + 0*g - g) + (g - g + 3*g)*(-2*g - g + g).\nAnswer: -10*g**2 + 64*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397154 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.51577899 rounded to 2 dps?\nAnswer: -19.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 4*s**2 - 4. Let t be x(-4). Suppose -1515*u = -1534*u. Put 5, 1, u, t in descending order.\nAnswer: 5, 1, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129903.\nAnswer: 3, 19, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -27. Suppose a*t - 13 = -37. What is the common denominator of 83\/(-30) - 8\/t and 1\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3. Let r(a) = 3*a**3 - a - 1. Let t(c) = 2*g(c) + r(c). Let x(m) = 5*m**3 + 2*m**2 - 2*m. Give -2*t(o) + x(o).\nAnswer: 3*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -17*s**2 + s + 1. Let u be j(-2). Let g = u + 114. What is the greatest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 - 11*a**5\/60 + 5*a**4\/24 + a**3\/2 - 2*a**2 - 41*a. Let p be q(-11). Is p <= -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose -q = -3*u + 29, -q = p*q + 20. Differentiate -17*j + 14*j - u + 21 wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 41 - 13 = 5*g, -g - 4 = -t. Suppose -27 = -t*w + 5*w. Suppose 4*u - 14 = 54. What is the remainder when u is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.6. Suppose 8*w - 3*w = 2*o - 25, -2*w = 4*o - 14. Let u(j) = 83*j - 752. Let y be u(9). Put w, y, a in ascending order.\nAnswer: y, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/125 - (-127008)\/(-22050).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10650102 (base 9) to base 10\nAnswer: -5170151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((2 - (0 - -9)) + (241 - 212)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -g - 33. Let a = 4 + g. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 6 = 12*v + w - 3*w - 20, -2*v - w + 11 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inin when four letters picked without replacement from {n: 9, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -56. Let d = -22 + s. Suppose d*t - 44 = 16. What is the highest common factor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6) + (-160)\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 1730, 1699, 1668?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 16*b + 1. Let f be 78\/12 + (-3)\/6. Let l(d) = d + f*d - 2*d - 3*d. Give l(g(w)).\nAnswer: 32*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.06, 17, 254\/5, 0.06, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1.7 (c) -0.12 (d) 47\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.62686 weeks in seconds?\nAnswer: 41505524.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.55622ml to litres.\nAnswer: 0.04055622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 38*l = 12*p + 18*l + 109, 2*p + l - 3*l - 11 = 3*l for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 628488143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/3)\/((-2)\/30). Let c be (4\/(-6))\/(o\/(-15)). Let a = -3 - -2. Sort c, -2, a in descending order.\nAnswer: c, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -32.9, -2\/11, -382325, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4209*o**3 + 2278*o**3 - 1532*o**3.\nAnswer: 4955*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 1:27 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12200 - 1?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3772320 by -290.\nAnswer: -13008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2 + 98*o - 4215. Calculate z(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1658*o - 1261 - 498 = -101 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35504 and 6524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let k(r) = 15*r + 10. Let z(b) = 3*b + 2. Let v(p) = -2*k(p) + 11*z(p). What is -2*n(j) - v(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73276 is divided by 542?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/15320 and -117\/15920.\nAnswer: 6097360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -69350 (base 11) to base 14\nAnswer: -28763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/10)\/(2\/(-5)). Let v(g) = -9*g + 7 - 13*g**3 + 17*g**2 + 14*g**3 + 1. Is v(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*a - 408 - 812 = -674*a - 51*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -208a - 23?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59472 and 3216528?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122948.\nAnswer: 2, 37, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 6*d**2 + 336*d - 336*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(6 - 7) - 1. Let r(s) = s**2 + s - 1. Let z(w) = -8*w**2 - 8*w + 7. What is a*z(j) - 6*r(j)?\nAnswer: 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrobnnorroooooi. Give prob of picking 1 b, 1 r, and 1 n.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57983 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 1. Let j(m) = -523*m + 5. Calculate j(y) - 4*w(y).\nAnswer: -507*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - c**4 + 2*c**4)*(-4 + 2 + 0)*(0 - 2 + 3 + 2 - 3 + 0 + (-6 + 3 + 1)*(1 + 0 - 2) - 2 + 1 + 0)*(c + 6*c + 0*c)*(11 - 24 - 31).\nAnswer: 616*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2 + 28*o - 27 = 0?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**4 - 3*x + 0*x**6 + 0*x**2 + 0*x**5 + 0 - 11\/3*x**3 + 5\/42*x**7. What is the second derivative of f(d) wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100011010100000?\nAnswer: 100011010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112433371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190507102?\nAnswer: 2, 95253551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-2) - 11\/((-22)\/8). Sort -3, x, -6.\nAnswer: -6, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 0.2. Let k = j - 1. What is the nearest to 1 in -1\/5, -0.5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 378, 366, 330, 258, 138, -42?\n\"Answer: -2*t**3 + 2*t + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*-15*(-1 + 0). Suppose -1 = -d*h - 1. Put 4, -21, h in increasing order.\nAnswer: -21, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 204582749.2 to the nearest one hundred thousand.\nAnswer: 204600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4979*b**2 + 1402229 - 1402229 as t*b**2 + l*b + o and give t.\nAnswer: 4979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -507.4 - -507.8. What is the closest to 3 in 0.1, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318158 is divided by 10969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698741854.\nAnswer: 2, 17, 20551231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 78. Let h(v) = -13*v + 154. Determine -2*h(y) - 5*s(y).\nAnswer: -4*y + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.24 (b) 0.3 (c) -1 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 2701810.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69633 and 92844?\nAnswer: 278532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyddiifii. Give prob of picking 1 d and 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1450 - -94?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -64*s + 82 + 524. Solve 0 = -3*l + 3*z - 15, 0 = l + 11*z - s*z + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5310.363 micrograms in milligrams?\nAnswer: 5.310363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 6) in base 10?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*t - 42*t. Let q(r) = -r**3 + 12*r**2 - r + 4. Let l be q(t). Solve -3 - 3 = -2*b + l*z, -22 = -5*b + 3*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6727*z**4 + 1001*z**3 - 4352516*z**2?\nAnswer: -161448*z + 6006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25464 (base 8) in base 11?\nAnswer: -8345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in milliseconds?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -5116017?\nAnswer: 5116016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 - (4 + -21) - (40 + -37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(18\/39))\/(6\/(-12)). List the prime factors of 545\/(-2)*(-19 - w).\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1636\/7 + 235. Let g = -11\/7 + x. What is the second biggest value in -2\/13, -1\/6, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -1 - (39 - (25 + -3 - -25))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/128 (b) 2455 (c) -0.5 (d) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185260, 370535, 555812, 741091, 926372?\nAnswer: 1111655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7601808 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + 1 + (7 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - 44\/28. Let d = -608 - -611. Which is the closest to -1\/5? (a) m (b) 3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3782607 is divided by 915.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 341*l**3 + 25*l**2 + 4*l + 7*l**2 + 67*l**6 - 66*l**6 wrt l?\nAnswer: 120*l**3 + 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 8. Let o be s(-4). Let z = o + 3. Let x = 57 - 40. Solve -11 = 4*u - z*l + 7, 3*u - 4*l + x = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**5*w*w**(-3\/5))\/(w*w**1*w)**(-6\/7))\/((w**(-2)*w*w*w*w\/w**(2\/7))\/(w*w**(-1))**(-31)) assuming w is positive.\nAnswer: w**(254\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 540*h. Let d be j(1). Let g be (-3)\/(-6) - (d\/(-8))\/9. Differentiate g - 9 + 2*u + 3*u wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 6, -2, 4, -5 in ascending order.\nAnswer: -5, -2, 4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -51. Suppose 0 = 9*m - 10*m + t. What is the tens digit of (-1795)\/(-20) - (m\/(-4))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-1)\/14*4. Suppose -4*j - 2*s = -2*j - 3660002, j = -i*s + 1830002. What is j rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2700000*d**2 - d + 1. Let l be -4*(-1 + 0)*-1. Let g = l + 5. Let w be v(g). Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1093*v + 1548 + 2393 - 662 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3257 and 3.3.\nAnswer: 10748.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 13*a + 3. Suppose -r = -7 - 6. Let o be q(r). Factor -2\/9*v**4 + 0 - 2\/9*v**2 + 0*v + 4\/9*v**o.\nAnswer: -2*v**2*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 1, o: 1, r: 3}. Give prob of picking 3 r and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -0.0134.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149195470 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 30?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -17 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19702 divided by -9\nAnswer: 19702\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 13 + 7 = 4*y, 5*y - k - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -22. Let c = i + 8. Let r be ((-2)\/(-2))\/(c\/12). Solve -p + 0*p = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416 + 7*z**2 + 407 - 823.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*n**3 + 132*n - 66*n - 66*n.\nAnswer: 63*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - f = 16 - 147, 3*v - 119*f + 114*f + 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p + 5. Calculate the least common multiple of j(5) and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/66)\/(-1 - (-14881)\/14457). Let f = 1\/53 + m. What is the common denominator of f and 1\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 4*k = -6*k - 1500. Calculate the remainder when k is divided by 114.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18779101589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**6\/240 - 11*r**2. Factor q(j).\nAnswer: j**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 3*j**2 - j + 3. Let o be a(-3). Let d = o + 16. Let b = d - -10. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*g*q*y**2 - 8*a**2*g*y**2 - a**2*y + 2*a*g*q*y - 10*a*g - 2*a*q*y**2 + 8*g*q wrt y.\nAnswer: 4*a**2*g*q - 16*a**2*g - 4*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1283.2 and -0.3.\nAnswer: 384.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-42))\/((-100)\/(-4200))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033 - 11230?\nAnswer: -4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(117) + 1 + 4.\nAnswer: -12*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5450 + 5286. Is 98 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*g + 68*g = -28*g + 2540 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -352, -260, -108, 104, 376, 708?\n\"Answer: 30*y**2 + 2*y - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g. Let m(q) be the first derivative of -343*q**3\/3 + 1600. Calculate u(m(l)).\nAnswer: 2058*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29312687*d**3 - 33522*d**2 + 23*d - 2?\nAnswer: -175876122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 1. Let s(p) = p + 15. Let o be s(-14). Calculate c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312648616 a multiple of 2009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12223 - -32?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 3. Let j be u(3). Let b be (1 + j)\/(-16) + 733\/4. Suppose -47 = -5*p + b. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2. Let z(y) = 631*y. Determine k(z(d)).\nAnswer: 1194483*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 3:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-5) + 192\/(-30) + 322\/46.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 5*z + 0*z)*((9 - 1 + 16)*(0 + 5 - 4) + (-4 + 6 + 4)*(-3 + 2 + 4)).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 9 + 3. Put w, 5, 0.07, 3\/2 in decreasing order.\nAnswer: 5, 3\/2, 0.07, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 13*g**2 + 9*g - 7. Let s = 2244 + -2242. Let d(b) = 3*b**2 + 2*b - 2. Give s*y(k) - 9*d(k).\nAnswer: 2*k**3 - k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzz when three letters picked without replacement from zuzoz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c*q*v - c*q - 2*c*v**2 + 118*c - 314*q*v**2 - 2*q - 2 wrt v?\nAnswer: -11*c*q - 4*c*v - 628*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 239683 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 - 66*p + 201 - p - 5*p + 4*p + (-5 + 0 + 3)*(-2*p + 0 + 0))*(-89*p + 3098 - 3098).\nAnswer: 5696*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.02 (b) 1\/7 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*m - 0*m. Let g be m + 0\/(-3) - -3. Suppose g = -3*j - 0*j + 6. Solve i = -3*w - 6, -j*i - i = 5*w + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4.1. Let r(a) = a**3 + a**2 - a - 1. Let b be r(-1). Let q = 6 - 3. What is the second biggest value in j, b, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3387 - 3408. Is g >= -417\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -269, -210, -83, 136, 471, 946, 1585?\nAnswer: 2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {w: 3, y: 1, o: 3, b: 1, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r. Let j(i) = -6*i. Let m(v) = -6*j(v) + 5*k(v). Let y(n) = 57326*n**2 - 16 - 4 - 57327*n**2. Give m(y(x)).\nAnswer: -x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**3\/6 - 172*q + 1. Suppose 2*a + 10 = 2*w - a, 0 = 5*w + a + 9. Let z(d) = 5*d + 2. What is w*z(n) + 4*l(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*5\/((-20)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26938, 107280, 241020, 428158?\nAnswer: 668694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 188 = -m - 4*o, -999 = -5*m + o. Solve -184 = -5*z - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.28397?\nAnswer: 0.28397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -25*r**2\/2 - 28*r - 5. Let s be q(-15). Suppose 3*k - s = 133. Calculate the highest common divisor of k and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268088.\nAnswer: 2, 283511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18b1 (base 13) to base 12.\nAnswer: -2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 5. Let f be m(4). Let d(c) = 2*c + 6. Let p be d(f). Let z be 6\/p + (-22)\/(-8). Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -30*u + 25*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/12 and ((-92216)\/9264 - 3) + 13?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399158135 and 10930?\nAnswer: 5465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.37 - -0.07. Let x(z) = z**2 - 2*z + 1. Let d be x(1). Sort d, -0.02, o.\nAnswer: o, -0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 49\/3. Let t(f) be the first derivative of 0*f + 0*f**4 - 2 + 0*f**2 - u*f**3 - 1\/5*f**5. What is the third derivative of t(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 72*q**2 - 1 - 63*q**2 as u + j*q**2 + r*q and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10246.\nAnswer: 2, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(920\/897) + (-4 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1252 + 1427. Calculate the greatest common divisor of 775 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472602 is divided by 2792.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9132024775 minus 0.1?\nAnswer: -9132024775.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 20 + 20 + 221*x**3 + 17 - 216*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -30*j + 19*j. Suppose 0 = -3*c + 3*u + 12, -4*c - 3*u = j + 2. Solve -4*i - 5 + c = -5*v, -v = 4*i + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 31*x + 100956 = -7308. Calculate the greatest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781 - 775 + 1556 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, 13, 5 in increasing order.\nAnswer: -13, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*0.3.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 1:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/3 + 5*y**3 + 21*y**2 + 27*y = 0.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 6. Suppose 0 = -f - x*f + 8. Suppose -h = f*h + 12, h = 4*d - 1872. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**3 + 14*o - 14. What is the derivative of q(h) wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-750)\/8))\/((65\/1625)\/((-12)\/(-100)))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019109 is divided by 339702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 + 17*r**2 + 14981*r**3.\nAnswer: 14981*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 81 = -5. Suppose 4*r - 5 = -5*v - 15, 5*v = -10. Let o(d) = d**3 - 4*d**2 - 6*d - 36. Let i be o(6). Solve i*n + t*n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3903\/136 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -100\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + 8*d + 4. Let h(q) = -q**3 + 5*q**2 - 7*q - 5. Let z(v) = 3*h(v) + 4*p(v). Calculate the remainder when 73 is divided by z(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/166968 and -4\/621?\nAnswer: 3840264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 1, 228, 23 in descending order.\nAnswer: 228, 23, 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 + -281. Let s(b) = -7*b + 26. Let f be s(u). Is f at most -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 + m + 2. Let g be (-2)\/(-4) + 6\/((-24)\/(-38)). What are the prime factors of q(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*n - 76078 + 80203 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171437 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2066715027*o**2 + 15433236*o + 28812.\nAnswer: 3*(26247*o + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 - 2*g**2 + 4*g - 3. Suppose 18*c - 140*c = 147*c + 1345. Let y(b) = -6*b**3 - 3*b**2 + 5*b - 4. Calculate c*r(l) + 4*y(l).\nAnswer: l**3 - 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007905 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -90*z + 86*z. Let q be 27\/12 + (-1)\/4. What is the highest common divisor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 101*r**2 + 0*r**2 + 61*r**2 + 17*r**2.\nAnswer: 191*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 448738 = 4*g, -5*j - 2 = 8. Suppose -g = 2*v - 4*a, 224392 = -4*v + a + a. Round v to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(0 - 0) - 35*-77. Suppose -3*s - 142 = -c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*k**2 - 58836*k - 36760.\nAnswer: -4*(k + 1838)*(8*k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105.85226 and 0.04.\nAnswer: 4.2340904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/247630 and 49\/30.\nAnswer: 742890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 45*y + y**2 + 12*y**3 - 22*y**3 - 11*y**2 + 12*y**3 - 55*y to o*y**2 + p + r*y + w*y**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 8*t**2 + 7*t**3 + 7*t**2 - 43 + 6*t**2 - 9*t. Let f(x) = -3*x**3 - 2*x**2 + 3*x + 21. Let i(s) = -5*f(s) - 2*j(s). Give i(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 - -5.6. What is the fourth biggest value in -4\/3, 6, -0.4, i?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**3*o + 36*a**3 - 30*a*o - 3 wrt o?\nAnswer: 3*a**3 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9461400 to the nearest integer?\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 7) to base 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162\/9 greater than 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.863522458 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a decade in years?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let q(a) = -2*a + 3. Let c(z) = 162*z + 36. Let y(d) = c(d) - 12*q(d). What is f(y(u))?\nAnswer: -34596*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(3\/7))*g)**(-32\/5) assuming g is positive.\nAnswer: g**(-544\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = -4*p, 5*k - 2 = 4*p + 3*k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 8 + 15 - 8)*(-19*x + 20*x - 8*x) + 4 + x**2 - 4 - 3*x**2 + x**2 - 2*x**2 as m*x**2 + n + b*x and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + l + 2 = -7, 4*l = -12. Let y = 0 + 0. Sort -1, i, 2, y.\nAnswer: -1, y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1881938900 to the nearest one hundred thousand.\nAnswer: -1881900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 16*p**2. Let d(q) = 42429717*q. Calculate d(s(w)).\nAnswer: 678875472*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(7*(-765)\/2856)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 70, -157, -3, 43 in ascending order.\nAnswer: -157, -3, 0, 4, 43, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11111 + -10741. Calculate the remainder when j is divided by 130.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+121.7978\nAnswer: 121.3978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29155 and 2975?\nAnswer: 145775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3*o + 3. Let k be y(-2). Suppose 3*x = -k + 37. Solve x = 4*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let b be (-5)\/(280\/24 - 10). Let f(k) = 8*k**2 - k. Determine b*q(n) - f(n).\nAnswer: -5*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 0.2.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 100*k**3\/3 - 5877. Let t(m) = 4*m**2 - 3*m**2 + 2*m**2. Determine t(i(z)).\nAnswer: 30000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - u = -1260. Suppose -5*x = 4*y - 135, 0*y - 5*y = 5*x - u. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/30 + 34\/110. Let u = 9843\/11 - 895. Let l = -131\/3 - -44. Which is the nearest to l? (a) u (b) 3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25352532.9 to the nearest 10000.\nAnswer: 25350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - 13?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -14 + 1 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3008, -3009, -3010, -3011?\n\"Answer: -j - 3007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.0043\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 6*z + 2*z + (1962 - 3111 + 1806)*(-11*z + 7*z + 6*z).\nAnswer: 1312*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + 2 - 4 + 0 + 1 - 2 - 2 + (3 + 2 + 0)*(0 - 1 + 3))*(-1 - 3 + 3)*(-8*h + h + h)*(6*h - 2*h + 5*h + (2 + 3 - 3)*(-h - h + 0*h)).\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.058 - -0.058. Let y = 1.7 + -1.59. Let s = g - y. Round s to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8280796.849 to the nearest one hundred thousand.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 84*x**3 + 3*x**2 + 6*x + 2. Let b be h(-4). Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-8)\/28)*-7. Let n = k + -33. Let y(o) = -2*o**3 + o**2 + 9*o + 6. Does 6 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74bb (base 15) to base 9.\nAnswer: -36785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c + 4*r - 92, 0 = 5*c - 3*r - 91. Factor -20*a - 75*a**5 + c - 55*a + 80*a**5 + 100*a**2 - 50*a**3.\nAnswer: 5*(a - 1)**4*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 177*f**2 - 2744*f + 884. Determine x(-102).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let w(m) be the second derivative of -2\/3*m**3 + 1\/2*m**2 + 9*m + 0. What is w(i) - 3*x(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139\/666 + -1\/74. Which is the third biggest value? (a) -3 (b) 0.03 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-17 - 4)*(-19 + -2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 14, 6613, -0.3 in decreasing order.\nAnswer: 6613, 14, 1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 2448 = -178*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 163*u - 76*u + u to the form p + j*u + y*u**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -282\/13 (b) -4 (c) 1 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8068053?\nAnswer: 3, 7, 384193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*y = 185*y + 6264 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 418486745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54930, -61, 2, 1 in ascending order.\nAnswer: -54930, -61, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**5\/80 - o**4\/4 - 7*o**3\/8 - 5*o**2\/4 - 41*o. Solve v(y) = 0 for y.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9*6\/14. Is 0.8 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from fmfmm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -14e7cb?\nAnswer: 14e7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.231 and -5?\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*h = 65, c = 6*c - h + 247. Let k be (-105480)\/2051 - (-28)\/7*(-6)\/(-56). Is c < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-5) - -4) + -95. Calculate the smallest common multiple of (-4)\/6 - (q\/6)\/2 and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.788949 millennia in months?\nAnswer: 9467.388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -7 + (105 - 90)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49058.54 micrograms in tonnes?\nAnswer: 0.00000004905854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.5, 0.02, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cc8e - -a?\nAnswer: 2cc99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*n + 125*n + 60. Solve 4*h = -p + 1, -2*h + p + n = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8.8 (b) -5 (c) -2\/941\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 - -268. Suppose -2*v - 4*v = -a. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 - -562. Calculate the greatest common divisor of o and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44177669.7 + 54062.3. Let b = y - 44231708.000069. Let w = -24 + b. What is w rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 11*d - 32. Let x be g(-13). Let b = x - -3. Which is smaller: b or -11\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2448)\/(-4284)*3\/((-78)\/(-7)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27532239 divided by -1311059\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*-1*4)\/((sqrt(81)\/sqrt(3))\/sqrt(9)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896 + 221 + 205 - 509)*(-2*u + u + 0*u).\nAnswer: 979*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 60 = -10*j, 0 = 4*j - 117*p + 113*p - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 658 = 3*r, 12 = 4*y - 4. What are the prime factors of r?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12797.01844 + -12797. Round z to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*t**3 - 2*k*t**2 - 125*k*t + 1171*k - 2*t**3 - 35158*t**2 + t wrt t.\nAnswer: 12*k*t - 4*k - 12*t - 70316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22086.26 litres?\nAnswer: 22086260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 + 88715*u**4 - 177550*u**3 - 1774620*u**2 - 2129400*u = 0.\nAnswer: -17745, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303969831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 1094109832*a**3 - 74817270279941764*a**2.\nAnswer: -4*a**2*(a - 136763729)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:43 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**8\/120 + k**7\/210 - 2*k**3\/3 - 4*k**2. Let b(c) be the first derivative of t(c). Solve b(s) = 0 for s.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 1, -2, -4, 7 in decreasing order.\nAnswer: 7, 2, 1, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.07 - 4.07. Which is smaller: 5\/6 or s?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - ((-6 - 5) + 5 + -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*g = 105, -2*m + 3*g + 148 = 5*m. Calculate the remainder when 208 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 1455.\nAnswer: 196\/1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 38 - (-1 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38325041 - -11?\nAnswer: 38325052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**5 - 35*q**4\/4 + 55*q**3\/3 - 25*q**2\/2 - 31. Find w, given that m(w) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152443\/1799 - 6\/257. Let f = k - 85. Which is the nearest to f? (a) 4 (b) -0.08 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -318, -1120, -2694, -5298, -9190, -14628, -21870?\n\"Answer: -43*p**3 + p**2 + 10*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371052 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30\/(-18)*-3 + (-2 - -167)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 4. Let r(g) = -g**2 + 5*g + 4. Let b be r(5). Let z be n(b). Suppose -40 = -z*c + 4*x, 0*x - x + 10 = 3*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47528 and 16?\nAnswer: 95056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -18 - u**3 + 5170*u**2 - 5163*u**2 + 3*u - u**3 = 0.\nAnswer: -3\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-41))\/n*n\/(n*n*n**(25\/2))*n*n*n*(n*((n\/(n*n**(-1\/4))*n)\/n)\/n*n*n)\/(n*n**(-35)*n*n) assuming n is positive.\nAnswer: n**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 90. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308991928 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -3*w + 0*w**3 + 0*w**6 - 1\/42*w**7 + 0 + 0*w**5 + 0*w**2 - 1\/3*w**4. Find the third derivative of x(b) wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 369080 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 8:27 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946729.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 23. Let j be b(-5). What is the greatest common divisor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/(-182)*-4*1\/55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2 + 538398*r + 1615185 = 0.\nAnswer: -538395, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 11*s + 5. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/35*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 0.0070216?\nAnswer: -0.000491512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -0.18.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 p when four letters picked without replacement from {p: 2, k: 5, j: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2387, -1762, -727, 712, 2549?\n\"Answer: -f**3 + 211*f**2 - f - 2596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 11:41 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - (-1 + 3) - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 0*c - c = 0. Let w(u) be the third derivative of 0*u**4 + 0*u + 0*u**3 + 0*u**6 + 1\/35*u**7 + 3*u**2 + c*u**5 - 3\/112*u**8 + 0. Factor w(y).\nAnswer: -3*y**4*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*b - 6, -18 = 3*l - 4*l + 5*b. Suppose 0 = -l*s + 1868 - 767. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/153 and (-8)\/10 - 4256\/2880.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609473684584 take away 1?\nAnswer: -609473684585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11*c + 6*c + 7 = n, -3*c = -4*n - 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-153)\/((-18)\/2) + -8. Which is the nearest to d? (a) 0 (b) 0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-9 - 21*1\/(-3)) + 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141608107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 11, e: 2}. What is prob of picking 2 t and 1 k?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1235159, 0.5, 0, -9.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1107 and 353871.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154524 to 3 decimal places.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, -0.5, 29\/4, -3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 150431, -4, 1, 3 in decreasing order.\nAnswer: 150431, 3, 1, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**5 - 10*d**4 + 12*d**3 + 188*d**2.\nAnswer: -120*d**2 - 240*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8488 + 12706. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1478.2192 and -0.051899.\nAnswer: -1478.271099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61639 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/588 and 131\/13440.\nAnswer: 94080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*k + 0 - 512*k + 0 to i*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 120 = -15*z. Let f(m) = -2*m - 30. What are the prime factors of f(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 - 3 - -9 - 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2)*(-36)\/(-45). Suppose n*u - 5*p = 13, -5*u + 5*p + 20 = -35. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*h = 15, -4*h + 7 = -80*g + 85*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(12)*1) + 4 + sqrt(13)*2)**2 + 1*2*sqrt(13)*-3.\nAnswer: 18*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*v + 4*v = -230, -65 = -s + 3*v. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 312.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**3\/39 - 248*o**2\/13 + 38*o + 527. Factor p(n).\nAnswer: 2*(n - 247)*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -y + 7, 0*y - m + 11 = 5*y. Suppose -f = -4*f + 5*i + 68, -64 = -y*f + i. Let d = -1 + f. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 4\/11, -0.2, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-two fifths of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2. Let t(d) = 3*d + 262528. Give t(l(b)).\nAnswer: -6*b**2 + 262528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -39745 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from gouolllukgjo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2761995 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/22)*q)**11*q**1\/q*((q\/q**(21\/2))\/q)\/q*q assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298 - -302. Suppose -m = -d + 284, -2*d - 3*d + f*m = -1418. List the prime factors of d.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -5, -16, -27?\n\"Answer: -11*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 10)*(-4)\/(-16). Let r(m) be the first derivative of 3 + 2\/3*m**3 - 5*m + n*m**2. What is the first derivative of r(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 10:15 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/223?\nAnswer: -1\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 36 = 2*d, 5*g - 5*d + 2*d - 98 = 0. Solve -13*z = -g*z - 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = 2*n - 6, 0 = -3*n + 4*a - 16. Suppose h - 73 + 1 = n. Calculate the highest common divisor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.028 + 0.1. Let i = u + -0.07200053. Round i to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/30)\/(392\/(-1470)*(-10)\/52)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207.8 - 212.8. What is the closest to 1 in g, 6, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g**2 + 30*g**5 - 13*g**5 - 12*g**5 + (-6*g**4 + 6*g**4 + 4*g**4)*(-4*g + 4*g + g) + 2*g**5 - 4*g**5 + 4*g**5.\nAnswer: 11*g**5 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c5ccd (base 14) in base 16?\nAnswer: 30509d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/1134455?\nAnswer: -3\/1134455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 18*x - 45. Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + p = -16, 2*i + 5*p - 3 = 5. Suppose 0 = i*v - 16, -3*b + 1348 = -3*v + 187. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from flclchgf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 3008.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 - y**2 + 0*y**2 + (184*y + 639*y + 178*y)*(0*y - 3*y + 4*y).\nAnswer: 1004*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 2, m: 1, n: 4, v: 8, b: 3}. What is prob of sequence byy?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**2 + 324*d - 3003. Calculate l(71).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12082*p + 374552. Give j(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 18*r**5\/5 - r**4\/6 - 449*r**2\/2 - r + 116. Find the first derivative of g(t) wrt t.\nAnswer: 216*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15590574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 - 13*k**2 + 184*k - 25. Does 12 divide j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 + 87*r**4 + 732*r**3 + 972*r**2 - 5616*r = 0.\nAnswer: -13, -12, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000293735955 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1141 + -1127. Sort j, -5, -2\/7 in ascending order.\nAnswer: -5, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.568 plus 5?\nAnswer: -6.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12405 (base 6) to base 12\nAnswer: -1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2 - 11*a**4 - 47*a + 36*a - a**2 wrt a?\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 8 = 0, -4*p - 5*w + 12536 = 0. Let q = p - 1844. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11258, -22518, -33778, -45038, -56298, -67558?\n\"Answer: -11260*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*v - 4657263*i**2 + 2490991*v wrt v.\nAnswer: -2*i**2 + 2490991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 51*v**3 + 594*v**2.\nAnswer: v**2*(v + 18)*(v + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(78)\/(sqrt(30)\/sqrt(5) + sqrt(6)) + sqrt(13) + 0)**2 + (sqrt(13) + sqrt(104)\/(sqrt(24)\/sqrt(3)) - sqrt(104)\/(2*sqrt(8))).\nAnswer: 3*sqrt(13)\/2 + 97\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20690 + -20674. Solve 0 = 2*w - 4*w + u for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, 473, 0 in descending order.\nAnswer: 473, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753073?\nAnswer: 379, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 563*k - 21852. Give n(39).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from xqkklrtl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(0 + -2)*(-1 + 1). Suppose 4*g + 12 = 0, 100 = -n*y - y + 5*g. Let c = y - -115. Solve i - w + 3 = c, 7*w - 3*w - 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1342 - -1360. Calculate the greatest common divisor of 873 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.005991 * 0.13363\nAnswer: 0.00080057733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5529 and -34.\nAnswer: -34.5529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -12960.\nAnswer: -12952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 4*o + 39 = 70*c - 69, 4*o = -152 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 892950?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17310518 a multiple of 5255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 37 - 67 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 317*w**4\/24 + 43*w**3 - 20*w**2 - 2. What is the first derivative of m(n) wrt n?\nAnswer: 317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btt when three letters picked without replacement from tbbtt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75972988 to the power of 1\/2, to the nearest integer?\nAnswer: 8716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120222 (base 3) to base 5.\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19193 is divided by 1024.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + (0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -28.8. Let h = 16 + n. Let k = h - -9. Which is the biggest value? (a) 4 (b) -1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2708382089*k - 2708382099*k + 5416764191*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -521*o - 13. Let s(w) = -785*w - 21. Let l(m) = 8*k(m) - 5*s(m). Let y(b) = 47*b**2. Give y(l(h)).\nAnswer: 2775303*h**2 - 22842*h + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(612) - 3*sqrt(1700).\nAnswer: -24*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -12*d - 77\/3*d**3 - 16\/5*d**5 + 107\/8*d**4 + 1\/4*d**6 - 141 + 25*d**2. Find s such that y(s) = 0.\nAnswer: 2\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553.6 * -4\nAnswer: 2214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60826017.\nAnswer: 3, 7, 17, 67, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -u + 6*u. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -581*d**2 + 8*d + 4. Let i(o) = -138857*o**2 + 1910*o + 955. Determine -4*i(z) + 955*y(z).\nAnswer: 573*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -39. Sort 2\/19, 0.6, m.\nAnswer: m, 2\/19, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 8 (c) -0.19 (d) -1 (e) 55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + -0.9. Let n = -89 - -93.5. Let s = k + n. Which is the second biggest value? (a) -3\/8 (b) 1 (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 240*v**2 - 3380*v + 9. Determine x(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 59*z + 21*z - 52 + 325 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98018 or -98026?\nAnswer: -98026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 4. Let g be a(-3). Let c(d) = 3*d - g + 2 + 2 - 33*d. Is c(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358943046 by 517209.\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4 - 2. Suppose k*h = 1574 + 31426. Round h to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x - 76. Let b be z(-4). Sort -2, -4, b, 4.\nAnswer: -4, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22*5*58\/20. What is the greatest common factor of a and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 4. Suppose 2*b + 4*l = 14, 0 = s*b - 5*l - 0*l - 5. Suppose -b*h = 6 - 16. Solve 0 = 3*m - 5*u - 5, -6*u - 17 = -5*m - h*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/7)*l*l**6)\/((l\/(l**(1\/4)\/l))\/l)**(2\/71) assuming l is positive.\nAnswer: l**(7647\/994)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 176, 392, 694, 1082, 1556, 2116?\nAnswer: 2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50911326 by 6.\nAnswer: 8485221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 24 - 49 + 1873*n**2 + 27 in the form r*n**2 + y*n + o and give r.\nAnswer: 1873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - 0.28. What is the nearest to 9 in 2, t, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/2)\/((-2)\/4). What is the common denominator of 15\/p - 23\/46 and 19\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/50 + 2*x**4\/15 + x**3\/3 + 2*x**2\/5 - 5*x. Determine n, given that q(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1982*z + 206137. Calculate the remainder when 142 - (0 - 1\/1) is divided by j(104).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + s - 1132*s**2.\nAnswer: -1132*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3128*m**3 + 15*m**2 - 39*m + 27. What is the ten thousands digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 49. Let s(f) = 13*f**2 + 4*f + 3. Let o(m) = -66*m**2 - 20*m - 16. Let w(d) = 2*o(d) + 11*s(d). Is 7 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/20 - c**4\/2 + 4*c**3\/3 + 31*c**2\/2 - 7*c + 41. Determine a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 + 4 + 11*j + 5*j - 4*j**2.\nAnswer: -4*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*m - 4 = 0, -w - 2*w - 6 = -4*m. Suppose 3 = n - w. Solve 3*c - 10 - 7 = n*f, -4*c = 4*f - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24302*y + 12165*y + 12154*y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 - 32*j**3 + 7*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -121566758 divided by -1\nAnswer: 121566758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 9*w + 7. Let v be f(5). Suppose -4*l = -16, 2*j + 2*j - v*l - 4 = 0. List the prime factors of j + 0\/2 - -27.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20 (b) 28 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2. Let i = -1 + 3. Suppose -1 = -i*r + 5. Let w(t) = -t - t + r*t - 3*t. Calculate v(w(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8524*n**3 - n**2 - 21027*n?\nAnswer: -51144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 1569 - 735 = 0. Sort 5, -11, b in ascending order.\nAnswer: -11, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77\/10 + 31\/5. Let k = -0.1 + 0.15. Let c = 0.25 - k. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-752)\/(-104) - (16 + -9)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/56 and -67\/7036?\nAnswer: 98504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 823207 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 4. Suppose -k + 133 = 4*c, 4*c = 29 - d. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/180 and -137\/17681976.\nAnswer: 88409880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 670 - 650. Let u be (-10)\/(-15) + (-22)\/6. What is the remainder when (-6)\/u*-1 - -60 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2480 and 160.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -914\/5 + 193. Calculate the common denominator of (-94)\/14 + 2\/7 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17722336 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(3 - z - 3) - 3 + 3 + 2*z)*(1 - 1 - 2)*(-1123 - 1190*z - 996 + 2127) + 0 - 2*z**2 + 0.\nAnswer: 9518*z**2 - 64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -12. Let h(d) = 16*d**2 - 2*d - 1. Let p be h(j). What is the first derivative of -7 + 17*c**2 - p*c**2 + c**3 wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 83?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/12 + 3*q**3\/2 + 5*q**2 + 9*q. Give a(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-12))\/((-3)\/159) and 92\/(-64) + 3 - (-3)\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 413856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = -5*k + 47, 0 = -k + 4*p - 248 + 264 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wwwrdjdddjjdwjd.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96 + 36*a - 51*a**3 + 78*a**2 + 3\/2*a**5 + 9\/2*a**4.\nAnswer: 3*(a - 2)**3*(a + 1)*(a + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 - -354. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/9*((-3432)\/(-40))\/13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/1357 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + (26 + 37 + -62 - 31).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + s - 13, -7*h + 6*s = -5*h. What is the remainder when 1549 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.045 and -329.\nAnswer: -329.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 4:09 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + 3 = 0. Let k be 2\/4*5589834\/q. Let s = 13894917 + k. What is s rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 1510?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 167*a - 20. List the prime factors of s(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-16))\/((-3)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120958 divided by 3658.\nAnswer: 60479\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 5 - (sqrt(44) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*0.01.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4893 + -39143\/8. Let r = -187\/345 - 4\/69. Sort -3\/4, -2, u, r in descending order.\nAnswer: u, r, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45 - 43 + 16 + 6*z + 2645*z**4 + 266 wrt z?\nAnswer: 31740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53362 smaller than -53364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Suppose 0 = 8*d - 252 - 84. Suppose -v + 66 = 5*i, 2*v - 6*i - 67 = -3*i. Let f(m) = d*m + v*m + 44*m - 125*m. Calculate f(l(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4 and 583?\nAnswer: -1982.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 42 + (-614 - -591).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28600 and 4200?\nAnswer: 600600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-452)\/(-565)*5\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57686841.\nAnswer: 3, 163, 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (500\/6)\/25*(-6)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*b**3 - 1395 + 6*b**3 + 1381 with respect to b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 + 0.6. Let v = -1.6 + 1.47. Let d = h - v. Put d, 1, 4 in ascending order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 + -188. Suppose 0 = -3*f + 4*u - g, -2*f + 2*u = 3*f + 111. Let k = f + 27. Calculate the lowest common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:30 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 18080690.\nAnswer: 198887590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*i = -272*i + 10376 + 9515 - 2687 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 7*t + 8*t + 6*t**2 to the form k*t**2 + m*t + v and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 15. Let m = -891 + 894. Let t = 0.04 + -0.34. What is the third biggest value in m, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 791*i**6 - 2*i**2 - 31*i wrt i?\nAnswer: 94920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + (1 - -3). Differentiate -3*c**z + 6*c**3 - 4*c**3 - c**3 - 2 with respect to c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3508932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/160 and 169\/60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52, 101, 148, 193, 236, 277?\n\"Answer: -n**2 + 52*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46\/33 - 19\/11. Which is the nearest to g? (a) 5 (b) -0.1 (c) 1.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3 - 2202*p**2 - 19879*p - 44220 = 0.\nAnswer: -5, -4, 2211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4214100 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*i**3 + 22*i - 69667 wrt i.\nAnswer: -132*i**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -801, -7347, -25129, -59769, -116889, -202111, -321057?\n\"Answer: -937*g**3 + 4*g**2 + g + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 882 = -2*d, 3*n - 2*d - 2*d - 1330 = 0. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:27 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -134. Suppose -32*k + 30 = -p*k. Sort -3\/8, k, -0.06, 1\/3.\nAnswer: -3\/8, -0.06, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (-2*sqrt(14) - sqrt(14))\/sqrt(2) + 2.\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384758043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-441))\/((-91)\/98)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.537*-0.05\nAnswer: 0.02685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11788 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/810 + v**5\/180 - v**4\/108 - v**3 + 6*v**2. Let u(t) be the first derivative of d(t). Factor u(i).\nAnswer: -2*(i - 1)*(2*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 668296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896 = 57*b + 55*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i**2. Let s(y) = 2840533*y**2. Determine a(s(k)).\nAnswer: -80686277240890*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*o**3 + 6 + 290*o**3 + 0*o + o**4 - 3*o**4 + 2*o**2 - 580*o**3 - 13*o to the form a*o + h*o**4 + z*o**3 + g*o**2 + i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 261688600 rounded to the nearest one hundred thousand?\nAnswer: 261700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1013\/5 + -1*(-18)\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 8*i + 195. Let q be (-240)\/(-108) + 4\/i. Solve 5*d - q = -4*f, -f = 4*f - 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.342 and -0.98.\nAnswer: 0.33516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose 0 = -4*v - 4*y, -2*v - 2*y + y + 3 = 0. Which is the closest to 0.06? (a) g (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 - 87. Solve -10*i + 12*i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290783, 1163051, 2616803, 4652039, 7268759, 10466963?\nAnswer: 14246651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-6734)\/(-1110)))\/(2\/(-28)*2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*b**4 + 2*b**3 - 314*b wrt b?\nAnswer: 396*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 64324?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*y - 982 = 2*i, 3*i - 1957 = 2*y. Round y to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1.6. Let h = q + 0.6. Let j = 1.9999952 + h. What is j rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -49.\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - c = -5*c - 28, 4*c - 20 = 0. Suppose -24 = -3*a - 3*z, 40 = 2*a + 5*z + l. Solve 4*o = a*r + 32, -3*o + r = -20 + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:15 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -50. What is the units digit of 63 - (20\/6 - (-10)\/u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22467531, -44935075, -67402635, -89870211, -112337803, -134805411, -157273035?\n\"Answer: -8*h**2 - 22467520*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10354056 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4197 - -5386. Calculate the remainder when p is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 34*f - 167 + 62 = 0, 5*f = -i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -311*x - 5. Suppose -4*s - 14 = -6. Let c be l(s). Let h = c - 286. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 992, 991, 990?\n\"Answer: -c + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 657*q**2 - 53805*q - 353. Determine f(-173).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 4. Let y(o) = -o - 1. Let l be y(-6). What is z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 21787 = 3483. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-16) - (-87)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382199*b - 1382149*b + 2764347*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 18\/4 + 12\/(-8). Suppose 0 = -h*b - 2*l + 130, -4*b + 4*l + 143 = b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*m - q - 50, 5*q = 4*m - 3. Let x(z) = -z**3 + 6*z**2 + 10*z - 8. What is the tens digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0*s)\/s)**(-30))**(-13) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 18*w**3 - 9*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 10, 23, 54, 109?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 6}. What is prob of picking 1 a and 1 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 2:51 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/24 + (-20744)\/240*-5 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -302, -296, -288, -278?\n\"Answer: x**2 + 3*x - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8658 and 1014?\nAnswer: 112554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6110736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -816*v**4 + 7347*v**3 - 12267*v**2 - 20355*v + 75 = 0.\nAnswer: -1, 1\/272, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 d when four letters picked without replacement from ayayyyyydyyyaa?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/60)\/(19\/(-10)*(-16)\/76). Factor 10\/3*f**2 - 4\/3*f + 0 - 8\/3*f**3 + c*f**4.\nAnswer: 2*f*(f - 2)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 6. Let b be x(-6). Let w be b\/(-1 + 3) + -2. Let f = w - -9. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 5*r - 3. Let f(p) = 3*p**2 - 4*p - 3. Suppose -m + 11 = 2*g, 3*m - 6*m = -4*g + 7. Let o(b) = g*y(b) - 5*f(b). Factor o(z).\nAnswer: -3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*o - 612*o = -100170 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -9, 2, -0.03, -13, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 - -3. Suppose 5*z + 8 = -f, -8*z + 4*f - 18 = -3*z. Which is the second biggest value? (a) i (b) -3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1286329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39677397 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -16. Let x be 94004 - ((0 - -3) + z). Suppose 13*j + x = 11*j. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0200912589 to five dps.\nAnswer: 0.02009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 3 - 17. Let j be y\/(-13) - 1587\/(-4485). Let i = -0.28 - -0.3. Put -0.2, 1\/9, j, i in ascending order.\nAnswer: -0.2, i, 1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (759920\/708)\/230*531\/21?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - -0.02. Suppose -6*u - 10 = -4. What is the closest to 0.1 in -1\/8, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 5752\/(-968))\/((-7)\/2).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6803 + 17\nAnswer: -6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/((3\/(-15))\/(42\/(-21)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (276 + -260)\/(4\/(-3))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 4. Let f(q) = 5*q - 5. Let i(b) = -4*f(b) - 5*p(b). Let k(x) = 4*x. Determine -5*i(m) + 6*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 5*b**2 + 7*b**2)*(-2*b**2 + b**2 + 0*b**2) + 4*b**4 + b**4 - 3*b**4.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1598d2 (base 16) to base 12.\nAnswer: -583102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2400 - 1780 = -19*t. Calculate the greatest common factor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -21*i**2 - 27. Let a(c) = -3*c**2 - 4. Let b(u) = -27*a(u) + 4*m(u). Suppose 1 + 5 = 3*g. Let p(s) = 3 - s**2 + g*s**2 - 3. Give b(p(q)).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47131 + -29796. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + -4*(sqrt(324) + (-5*sqrt(324) - sqrt(324))))\/(sqrt(2) + sqrt(12)\/(-1*sqrt(6)) - sqrt(72)*2).\nAnswer: -63*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 15*l + 50. Let a(q) = -q**3 - 12*q**2 - 11*q + 18. Let z be a(-11). Let k be p(z). Let h be -11*(-2 - (k + 3)). Are h and 11 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524 (base 14) to base 11.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002434449 rounded to five dps?\nAnswer: 0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*h + 15*h. Let w(d) = 275*d**2 - 7*d + 3 + h - 289*d**2. Let o(z) = -9*z**2 - 5*z + 5. Give 7*o(k) - 5*w(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14 - 2*d - 3*d + 4*d - 13. Let g(r) = -r - 9*r + 0 + 9. Let t(q) = 2*g(q) - 6*p(q). What is the first derivative of t(y) wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/2 + t**3\/3 - t**2\/2 - t + 4. What is v(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 9 + (-1 - 3) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2601*v - 2582*v - 4839281 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 (base 8) to base 7\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1472*b - 686. Let u(s) = 295*s + 137. Let i(o) = 2*m(o) + 11*u(o). Find the first derivative of i(k) wrt k.\nAnswer: 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 7, -9, -5, 6, -1 in decreasing order.\nAnswer: 7, 6, 0, -1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104872 - 14.\nAnswer: 104858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 211 - 425 - 27*b - 3*b**3 + 3*b**2 - 3*b**3 + 7*b**3 + 5*b**4 + 216 to the form z + h*b**3 + m*b + o*b**2 + g*b**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z**(-5\/2))\/(z*z*z**(-2\/7))**(2\/3)*((z\/(z\/(z**(1\/5)\/z)))\/z)\/z**(-1\/12)*(z*z**(1\/2)*z)\/(z*z**(6\/5)) assuming z is positive.\nAnswer: z**(-677\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = -2*g, 7*a = -4*g + 2*a + 23. Suppose -3*d = -0*d - g. Suppose -4*w + 0*s = 2*s - 2, -3*s = d*w - 7. Let c(p) = 3*p - 2. Determine c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 10) + (0 + 3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431192 + 2087*q**2 - 431192.\nAnswer: 2087*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 0*r**2 - 3*r**2. Let x = 2 - 2. Let w(n) = 0*n + 3*n + x*n. Determine w(m(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = -9*b + 790 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/39 - -2\/13. Which is the nearest to 0.01? (a) -4 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.5 - 485457184?\nAnswer: -485457202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6486 - 3796. What is y rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**3 - 11*s**2 + 18*s + 5. Let m(q) = 3*q**3 - 4*q**2 + 6*q + 2. Let p(i) = 2*g(i) - 7*m(i). Let k be p(5). Let b = k + 14. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-4)*33\/(-6). Suppose -g + 0*g + 3*m = -w, -3*g + 4*m = -114. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 9. Give o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 4. Let m be b(-4). Let k be (-112)\/(-21) + -5 - 16\/(-6). Suppose -80 = -5*p - k*q, m*p + 80 = 5*p + 2*q. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, d: 4, z: 3, o: 6}. Give prob of sequence odz.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - (-658)\/126. Suppose 9*v - s = 10*v. Which is the closest to 0.1? (a) -0.4 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 74.3. Which is the closest to -4? (a) r (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 4*b - 7. Let x be y(2). Let c(h) = -h**3 - 5*h**2 + 8*h + 4. Let f be c(x). Let k = f - -70. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxlqxhlexulxxhq. Give prob of sequence xl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680420 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*x - 1 + 3*x - 6*x + x + (1 - x - 1)*(-2 + 4 + 0) + (2 - 1 - 2)*(-2 - 6*x + 2) + 4*x - 4*x + 7*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5451 (base 6) to base 9\nAnswer: -1644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1885, 1851, 1817, 1783, 1749?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + 33. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 69\/66)\/((-7)\/28). Let j = 7.7 + -10.7. What is the nearest to j in -0.1, d, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 - 5*r**2 + 9*r - 9. Let s(g) = g**3 - g**2. Let o(j) = i(j) + 4*s(j). Determine o(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 0.1, -13\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*h = -20, -2*h = 3*s - 6*s + 70. Suppose 3*d = -18 + s. Suppose -5*g = -q - 20, -q + 2*g = 5*g - 4. What is the biggest value in d, -1, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 175551 = 139378. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 925.2 - 925.1. What is the nearest to j in -5, 0.1, -2\/15, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-91))\/(65\/455)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*h + z + 100117, 0 = 2*h - z - 40038. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -629 - -1509. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -232773 at most -232578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -109. Let u = -54 - k. Let j(h) = h**2 + 6*h - 7. Let m(n) = -4*n**2 - 17*n + 20. Let z(w) = 7*j(w) + 2*m(w). What is z(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -641*a + 644*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1382 + -541. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -457 - -662. What is the remainder when j is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 72 = -2*r, 3*r = -4*v + 24 + 35. Let b be (-8960008)\/(-14) + (-8)\/v. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 - -0.1\nAnswer: -355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -126954 divided by 6\nAnswer: -21159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r - 54. Let b = -17 - r. Suppose 17*p - 84*p = -201. Solve -4 + b = p*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x + 6. Let w(l) = -l + 1. Let a be (20\/(-40))\/(((-21)\/(-18))\/(-7)). Let i(j) = -j**2 - 5*j + 18. Let q be i(-9). Give a*h(r) + q*w(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*d + 5 = 0, 2*l - 1 - 4 = 5*d. Let p = l + 9. Let n be (-4 + 4)*(p - -2). Which is bigger: 1\/15 or n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -579 (b) 1\/7 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 438 = -22. Let o = -110 + z. Let b(w) = w**2 + 6*w - 11. Let q be b(-8). Put o, q, -3 in descending order.\nAnswer: q, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/(-63) - (-1)\/3. Let d = -0.6 - -0.8. Suppose v + v = 2*z, -3*z + 5 = 2*v. Which is the second smallest value? (a) z (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -3*j - 185. Let f = 196 + j. What is the remainder when f is divided by (64\/(-112))\/((-6)\/252)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(3*(sqrt(42)*-2 + sqrt(42)) + sqrt(42)))\/(((sqrt(432)*1)\/sqrt(8))\/(1*sqrt(144))).\nAnswer: 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 428927221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/52 and 147\/(-70)*(-230)\/468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2550447, -5100820, -7651119, -10201344, -12751495, -15301572, -17851575?\nAnswer: -20401504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -674668 smaller than -674475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-171)\/(-33) - (9\/(-11) + 1). Solve 3*i = -6, t*c + 9 = 4*c - 5*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 6*l**4 + 160*l**3 - 732*l**2 - 9760*l - 8874 = 0?\nAnswer: -29, -17\/3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * 16147\nAnswer: -46826.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:31 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 26*f**2 + 24*f + 52. Let c be j(-27). Let z = -143 + c. Let s(r) = -r**2 - 11*r - 3. Determine s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + g - g**3 + 4*g**2 - g + 4*g + 1. Give c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3397680662?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/5*h + 8*h**2 + 0 + 48\/5*h**3 + 24\/5*h**4 + 4\/5*h**5 = 0. Calculate h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/21 + 156*k\/7.\nAnswer: 2*k*(k + 234)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16876669 and 3979?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 348273 * -162\nAnswer: -56420226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 12) in base 6?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 45. Put 0.3, n, -4 in ascending order.\nAnswer: -4, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 26 (b) 7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 20 + 11 = 27. Solve 0 = -4*c - 12, n*s + 4 = -2*s - 3*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4749 and 4749.\nAnswer: 4749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -2253?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(704) + 2*sqrt(704)) + (-5 + sqrt(396) + sqrt(396)*-1)**2 + 5.\nAnswer: 28 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 87. Let g(x) = x**2 + x - 2. Let v be g(i). Suppose -v*t = -0*t - 20, 2*t = -m + 75. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341368.\nAnswer: 2, 71, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 7*j**2 - 5*j + 13. Let x be s(-6). Suppose 15*w - 14*w - 2*v = x, 0 = 5*w - 4*v - 419. Suppose w - 209 = -a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 543559390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r - 3)*(0 - 3 + 23)*(-8 + 1 - 1).\nAnswer: -160*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -2, 3, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.6 or 0.93701?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 44\/6*6\/4. Let p = 21 - v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*j = 5, -19*j + 24*j + 5 = -2*n. Let u(c) = 3*c - 15. Let d be u(6). Solve 4*b + 5*k + 17 = -n*b, 6 = -3*b + d*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 613180, 613182, 613186, 613192, 613200?\n\"Answer: j**2 - j + 613180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1855 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231 is divided by 4 + 146 + 2 - 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpnblbb. Give prob of sequence mn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1 (b) 0.003 (c) -79 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156221064.\nAnswer: 2, 3, 43, 50459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -60 - (-848 - -673)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1612\/1035517?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Let l(x) be the second derivative of i*x + 5\/2*x**2 + 0 - 1\/6*x**3. Give l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3844 is divided by 1625?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/12 + 3*o**2\/2 + 3*o. Let t(d) = 1. Let p(a) = b(a) - 3*t(a). Let u(n) = -n. Give p(u(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.2091 times 0.18\nAnswer: -0.217638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 920495832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 997*n + 12. Give s(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -483\/58 bigger than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3 = y - u, 37*u + 563 = -110*y + 69*u - 33*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1538*d - 1532*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, k: 1, i: 1, g: 2, s: 1}. What is prob of sequence gi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 4\/7, 0.2, -0.4, 3 in increasing order.\nAnswer: -4\/9, -0.4, 0.2, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 7*g + 4. What is w(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2 + 2*k + 3. Let x be h(3). What is the third derivative of -127*q**5 - 4*q**2 + x*q**3 + 0*q**3 + 114*q**5 wrt q?\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 + 535*k**3 - 14125*k**2 + 92045*k + 244950 = 0. What is k?\nAnswer: -2, 15, 23, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 30. Suppose 6*h - 3*h = -2*c + t, 3*h - 3*c = 27. Suppose -147 = -5*a - 0*b - h*b, 4*a + 4*b - 120 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5 + -1)*(-120)\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 665301 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 25950?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*48\/(-32). Let o be (2 - 1)\/(6\/2). Which is the closest to -1? (a) -2\/7 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 125321.2?\nAnswer: -375963.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*j**2*t**3 - 5*j**2*t**2 - j**2*t - 160*t**3 + t**2 wrt j.\nAnswer: -56*j*t**3 - 10*j*t**2 - 2*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.29019km to millimeters.\nAnswer: 83290190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = r. Let o be 9 - 8\/r*-5. Solve 4*k = -4*s + 40, -3*k = o*s - k - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.12, -46, 2, -4\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26949, 17 in increasing order.\nAnswer: 2, 17, 26949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2)\/(1 + 0). Let k be ((-8)\/2)\/(1 - v). Suppose -2*p = -2*j - 16, -4*p + 24 = -3*j - 3. Sort k, 1, p in descending order.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 6) in base 16?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 1. Solve s + 3*v = 4*s, -5*s - f = -v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 390*b + 395*b - 23 = 0, 3*o - 4*b = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 at least as big as 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u**2 - 10 + 10 + u**2. Let j(l) = -l**2. Give f(j(x)).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmedemedteeddemd. What is prob of picking 1 t, 1 e, and 1 d?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96161072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28174084 * -3.\nAnswer: -84522252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 25*l**4\/24 + 2*l**2 - 4*l. Let b(x) = 5*x. Determine b(i(t)).\nAnswer: 125*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2251353350 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 12*r + 16. Let a be (-37)\/(-3) - (-26)\/39. What is the remainder when 3 is divided by c(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 - 7*c + c**3 - 4*c - 1 - 7*c**2 + 10*c. Give x(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*f + 5*f - 13, 109*n + 2*f - 58 = 121*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 2 - -2) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -11. Let p = 4 + -3. Let k = p - z. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 + 8*v + 11. Suppose -19*u + 20*u = -5. Let l be o(u). Calculate the greatest common factor of 189 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h + 2*k + 78, -2*h - 4*k = -24. Calculate the lowest common multiple of h and 51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 176 = -43*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -757*r**4*s + 6*r**2*s**2 + 23*r*s**2 - 69*r wrt r?\nAnswer: -9084*r**2*s + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 39 = -71 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1260, -5191, -11748, -20937, -32764, -47235, -64356?\nAnswer: -84133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 0*w + 190 = 343 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -901*u - 1917. Determine y(-2).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28879 = -4*a + 5*h, 7231 = a - 190*h + 185*h. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*c + 148, -3*c + 145 - 40 = -5*l. Suppose 3*b - c = -4. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t**4 + 0*t**5 + 0 + 1\/840*t**7 + 0*t**3 + 47*t + 1\/480*t**6 - 2*t**2. Determine b, given that c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 408608, 84, 4 in ascending order.\nAnswer: 4, 84, 408608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 89.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**3 - 2*u**2 + 4*u - 1. Let r be p(2). Let j = r - -120. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029, 5060, 16025, 37392, 72629?\nAnswer: 125204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 23, 0, -2, -5, 4, -4 in descending order.\nAnswer: 23, 4, 0, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13332 is divided by 278.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805750 divided by 125.\nAnswer: 6446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3462 + -3457. Solve 3*t = a*i - 19, -8*i - 15 = -5*t - 9*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*d**2 - 203*d**2 + 16*d**2.\nAnswer: -269*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. Let c = -51.4 - -51. Sort c, j, 0.\nAnswer: c, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4125, 0.287, -2\/15, -4, -1?\nAnswer: 0.287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. Solve 0 = 3*x - m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 5, 4*b + 4*s = 0. Sort -1, b, 3 in decreasing order.\nAnswer: b, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + sqrt(490)) - (-1 + (sqrt(5)*-1)**2).\nAnswer: -4 + sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + 1 + (5 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 10*f**2 + 26*f - 10. Let l be p(6). Suppose -r + 4*h = -l*r + 1839, -3*h + 7369 = 4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -26, -29?\n\"Answer: -3*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -602.5 + 315. Let p = 287 + w. Which is the biggest value? (a) 1\/2 (b) 2 (c) p (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2. Let x be (-36)\/(-3)*4\/6. Let b(j) = 2*j**2 - 15*j + 23*j - x*j. Give k(b(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, -0.019, 0.032296?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 48983661 - 93816339 = 0. What is a rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, -0.3, 0.1, -5, 4, 0.2 in descending order.\nAnswer: 522, 4, 0.2, 0.1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y + 3*y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 103\/5 - 2\/(-5). Suppose l = 3*u - k, -2*u - 2*l = 2*u - 18. What is the units digit of 8\/6 - (-4)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 925535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247 + -249.5. Round p to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + (0 + 8 - 4) + (98 - 105).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - c + 88 = -2*k, 4 = -2*c. Suppose -y - k = -7*y. What is the tens digit of y\/6*(-28)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83232898 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s + 3736 + 442 + 1804 = -6574 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345460196?\nAnswer: 2, 17, 298841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y - y + 38 + 0*y**2 - 46. Let a be u(11). Let 6 + 9*v**2 - 27*v + 6*v**3 + 7*v**3 - v**a = 0. What is v?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123661 is divided by 24701.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -a082?\nAnswer: -a081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Let z be (l + 12)*7\/2. Let v be 2 + z\/4*-34286. Round v to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 + 33364*d**4 + 33396*d**3 - 233524*d**2 - 433760*d - 200208 = 0. What is d?\nAnswer: -2, -1, 3, 8342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68655 - -68652. Let y(u) = -u**2. Let n(t) = -2*t**2 + 3*t - 4. Let o(z) = -n(z) + 3*y(z). Give o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44, 37, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(0 + sqrt(208))**2 + (sqrt(1872) - (sqrt(1872) + -1))*-2 + 3 + -5 + 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75445.\nAnswer: 5, 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336 + 31?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 4, w: 8, j: 1, h: 2, f: 1}. What is prob of picking 1 j, 2 h, and 1 w?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10340, 18215, 26090, 33965, 41840, 49715?\nAnswer: 57590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24631 + -2?\nAnswer: 24629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0 + 0*m**3 + 0*m**4 + 1\/12*m**5 + 0*m + m**2 + 1\/20*m**6. What is the third derivative of o(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002338 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 213439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, -3, 5, -2.\nAnswer: -22, -5, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440, 918, 1382, 1826, 2244?\nAnswer: 2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -0.1. Let q = -32 - -32.41. Let n = l + q. Which is the biggest value? (a) -2 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5376?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 806*a - 1310*a - 17640 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 57. Let x be 12\/(-10)*(-20)\/(-3). What is the remainder when (-12)\/x - 218\/(-4) is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -13000?\nAnswer: -13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -31. Let k = h + -14. Let w = 25 - k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {n: 9, m: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115607 and 0.104.\nAnswer: 12023.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2186 - 2028. Which is smaller: 792\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2738673 (base 9) to base 11.\nAnswer: -936770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 327\/8 - 41. Find the common denominator of (10\/25)\/((-56)\/310) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*p**2 + 3328220*p - 554704.\nAnswer: 4*(p + 138676)*(6*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o + 6*o - 7*o)*(-1 + 3 - 5)*(12 - 5 + 14) + o - 4*o + 2*o.\nAnswer: -505*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 3, j: 1, a: 2}. Give prob of sequence sj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-1305))\/((-102)\/(-255)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101220001010001 (base 3) to base 15\nAnswer: -794cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -21*v + 35*v. What is the remainder when 929 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 20*j**2 - 368*j + 144 = 0.\nAnswer: 2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1315*g**3 - 83*g**2 - 32387*g - 17?\nAnswer: 7890*g - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:56 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -484986.\nAnswer: -484948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 143*x - 67979 + 62259 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/206720 and -61\/11628.\nAnswer: 1860480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6807110 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, b: 1, y: 7}. Give prob of picking 2 j.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2109 and 28749?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**3\/13 - 110*q**2\/13 + 950*q\/13 - 2250\/13 = 0.\nAnswer: 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 9*p**2 - 8*p + 2. Let l be m(8). Let j be ((-2)\/(-16)*-2)\/l. Let u = -5\/8 - j. Which is the nearest to 0.1? (a) 0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -3, -19, -7127 in descending order.\nAnswer: -3, -4, -6, -19, -7127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 11 - (-5 + 1 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*s - 688 + 118*s + 123*s + 120*s - 483*s.\nAnswer: 2*s - 688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -202. Let f be ((-5)\/3)\/(15\/x). Let h = -59\/3 + f. What is the smallest value in -2\/7, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572651 divided by 1773.\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2\/(-4))*10\/(-75). Let a be 9\/45 - 177\/(-5). Let q = a + -737\/20. What is the nearest to 1\/9 in x, q, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -221*d**2 + 5*d. Let k(a) = -a**2 + a + 1. Calculate -5*k(j) + r(j).\nAnswer: -216*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/10)\/(4\/(-40)) - 1. Let y be -109 + 0\/(-2*1). Let w = 181 + y. Calculate the highest common factor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -3*h - 8*h. Suppose h = -6*s + 27. Suppose -d - 5 = -4*u - 0, -2*u = 5*d + s. Calculate the greatest common factor of u and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 3, y: 3, p: 2, i: 3, r: 3}. What is prob of picking 1 r, 1 g, and 1 i?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 571\/5 + -567\/5. Let s be 23\/4 - (-1)\/4. Let k be ((-2)\/(-5))\/(4\/s). Which is the closest to 4? (a) k (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 21825*l**2\/2 - 480029*l\/4.\nAnswer: -l*(l + 11)*(l + 43639)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 411464900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let o = v + -4. Let t = 39.6 + -40. Which is the second smallest value? (a) t (b) o (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2016\/47, -25.\nAnswer: -25, -2\/9, 2016\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.51 - -61.51. Let d = -93 + v. Let s = 32.00244 + d. Round s to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 149\/4. Suppose 0 = -j - 2*j + 6. Let g = -1 + j. Is g greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -556*t - 530. Determine q(0).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:04 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 45*d**2 + d. Let k be h(-1). Let i = 177\/4 - k. Is 0.6 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 53. Let f be (-2)\/(-2) + -3 + x. Is -1\/24 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 1164, -173?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 8*k**5\/7 + 4922*k**4\/7 - 8696*k**3\/7 - 35642*k**2\/7 + 88776*k\/7 - 44424\/7 = 0.\nAnswer: -617, -3, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3460*b**2 - 35*b + 272. Is u(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250818.\nAnswer: 2, 3, 17, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 33 - 20)*(-2*j**5 + j**5 + 0*j**5 + (j + j**2 - j)*(1 - 1 - 2*j**3)).\nAnswer: 21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -10 - 4*s + 1\/2*s**2. Let j be z(5). Put 0, j, 6 in decreasing order.\nAnswer: 6, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 21*t - 53. What is the units digit of w(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**2 + 11049007*f + 5*f**2 + 8 + 7*f**3 - 11049005*f + (f**2 + 3*f**2 - 2*f**2)*(-4*f + 3*f + 2*f) - 2*f**2 + f**3 + 2*f**2.\nAnswer: 10*f**3 + 10*f**2 + 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36836436 and 4134702.\nAnswer: 405200796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 12. Let d be z(9). Let s be 0*3\/(-9) + d. Let l be -6 + (13 + 5)\/2. Solve -l*r - s = -0*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15175 and 0.2.\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f - 11. Suppose -4*r + 28 = -0. Let a be d(r). Suppose 0 = -4*j + a + 70. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {c: 18, w: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - -157. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let y be d(4). Let n = 7 - y. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -103\/5?\nAnswer: -103\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 8*h + 3\/2*h**2 + 37. Calculate the remainder when q(8) is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**13\/(m**(-5)\/(m\/(m*(m\/m**2)\/m)*m)) assuming m is positive.\nAnswer: m**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 11 - 5*d**2 - 3 as f*d**2 + k + m*d and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2127838 at most as big as -2127875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.007, 1, 1\/4, 297, -0.1, 1\/5?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 28\/(-12)) + -1. Let v = 319\/497 + -5\/71. Let s = 6 + -8. What is the nearest to -3 in a, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlglfglflgwffgll. Give prob of picking 1 f, 1 g, and 1 w.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 79*y**6\/120 + y**5\/120 + y**4\/24 + 3*y**3\/2 + 4*y. Let w(u) be the second derivative of f(u). Is w(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55312658?\nAnswer: 2, 27656329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -80. Let u = y + 18. Suppose 0*f = -2*f - u. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, w: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 857.9305 millennia?\nAnswer: 8579.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.76 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 155179122 divided by -6?\nAnswer: -25863187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -25. Let m(t) = j + 1 - 10*t**2 + t**2. Let r(i) = 4*i**2 - 2. Determine 3*m(d) + 7*r(d).\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 16*c**2 - 7*c**2 + 3*c**2 + 2012*c - 9*c**2 to the form o*c**2 + n*c + x and give n.\nAnswer: 2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -6423837?\nAnswer: -11\/917691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 3*u, 19 + 0 = 2*w + u. Suppose -g = -w + 9. Suppose 0 = -g*i + 160 - 24. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y - 3. Determine g(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -31\/2161505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/3)\/((330\/45)\/(-11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -524*o + 529*o - 40, -2*o - 1356791 = -3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -48. Let z = h + -38. Is -0.1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - (24 - 56)) + 25 - 128.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let a(s) be the second derivative of 89*s**4\/12 + 6*s + 14. Calculate w(a(x)).\nAnswer: 178*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*j**2*q - 47*j**2 - 4*j*q + 15*j + 6*q + 4 wrt j?\nAnswer: -44*q - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5*4\/30)\/(-4))\/(-42*(-150)\/(-42525))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1106*n - 658*n - 1 - 1 - 3787*n - 219*n to q*n + y and give q.\nAnswer: -5770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n = 0. Suppose 4*a + 3*g = a + 15, -5*a - g + 29 = n. Suppose 2*u = a*u. Solve 3 = q - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyggzyzyyyyzyggzygyy. Give prob of picking 2 g and 2 z.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 312\nAnswer: 561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 55. Let w(j) = 5*j - 46. Let r(t) = 4*o(t) + 5*w(t). What is r(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u + 13*u - 7*u)*(2 - 1 - 4)*(2*u - 2 + 2).\nAnswer: -126*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by 5\nAnswer: 208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*h = -h - 12, -2*y + h = -18. Suppose -4*n + 3*l = 7*l + y, 0 = -5*n - 2*l + 2. Solve -2*i + 12 = -0*u + n*u, 0 = -2*u + 4*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*h**2 + 389*h**2 - 68*h**2 + 197*h**2 + 145*h**2.\nAnswer: 939*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*q**2)*(-2 + q**3 + q**3 - 4*q**3) - q**5 + q**5 + 2*q**5.\nAnswer: -2*q**5 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14439020*y**4 + 19017*y - 924.\nAnswer: 173268240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.185 - 0.815. Which is the third biggest value? (a) 0.4 (b) -22 (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 - 1)*(0*g + 0*g + g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8666)\/(-1857))\/((-308)\/(-18)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 54. Give z(-27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66705 - -389386. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 188 + 732 = -l, -4*x - 2*l = -438. Let j = x - 39. Is j a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -k - 2519 + 2523, 6 = -6*g - 4*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48912317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**4\/4 - s**3 - s**2 + 6*s - 28. Let x be y(3). Suppose -f = -5*m + 699, 2*m + 3*f + 67 - 350 = x. Does 35 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.092, -0.2, 4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 - 15. Let n(k) = -k + 17. Let j be n(b). Suppose 2*i - 6 = -0. Solve 0 = -j*g + i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l - 2. Let s(o) = 12*o - 3. Give 8*q(x) - 5*s(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 9, -36, 12, 3 in descending order.\nAnswer: 12, 9, 3, -7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133 in 1\/7, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 57*r**2 - 82*r + 37. List the prime factors of z(43).\nAnswer: 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -49*f - 4. Let b(h) = -50*h - 5. Calculate 4*b(q) - 5*m(q).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 10*t**3 - 23)*(0 - 5 - 4)*(2*t**2 - 4*t**2 - 4*t**2 + (-1 + 1 + 2*t)*(2*t + 0*t - 3*t) + (0*t - 2*t + t)*(-2*t + t + 2*t) + 2 - 2*t**2 - 2).\nAnswer: 990*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 less than -1492801580?\nAnswer: -1492800986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.02, 1335098, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -0.2, 12\/11, -100?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/67))**12 assuming n is positive.\nAnswer: n**(24\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46, -66, -60, -16, 78, 234, 464?\n\"Answer: 2*k**3 + k**2 - 37*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1940\/7337 - -15\/319. Suppose 2*g - 8 = -2*d, -g - 6*d + 16 = -d. Does g = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 + 3*w**2 + 3*w + 2. Let u(y) = y**3 + y**2 + y - 1. Determine 2*j(n) - 6*u(n).\nAnswer: 4*n**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 15 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**2\/2 + 11*m + 791. What is o(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 193*t - 37. Does 5 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10338 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t**2 - 23*t + 20. Let w be h(10). Round w to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*u**2 + 11 + 6 - 17 to the form c*u + n + k*u**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l*u + 1181*l - 47*u + 22 wrt l.\nAnswer: 2*u + 1181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 7*r + 4*r - 8*r + 1. Let y(q) be the first derivative of -2*q**2 - 5*q - 3. What is 10*h(i) + 2*y(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935052 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 - -0.7. Let o = 24.2 - 26. Let i = o + 1.9. Which is the closest to i? (a) 2\/7 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716498453?\nAnswer: 11, 65136223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from mmhdhhxhexhm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 5, g: 2, b: 5, j: 1, l: 1}. What is prob of sequence gl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-642 + 1090 - 1117 - 3939)*(27*f - 8*f + 20*f) in the form i*f + p and give i.\nAnswer: -179712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + b - 4*b)*(-b + b + b) + 6*b**2 - b**2 - 12*b**2 as l*b**2 + z + u*b and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.1 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 4, -950, -2\/3, -4731?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4067 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 3*g**2 + 11*g + 32. Let f be ((144\/30)\/4)\/((-3)\/(-30)). What are the prime factors of j(f)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-140)\/3)\/(12\/(-900))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*x**4 + 3*x**3 - 699*x**2 - 126400*x wrt x?\nAnswer: 120*x**2 + 18*x - 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 654 + -235. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130559 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.68 - -10.5. Let q = -0.11535 + -0.0653. Let a = v - q. Round a to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*g + 48*d + 249*g wrt d.\nAnswer: -2*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 661?\nAnswer: 76015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41168790 by -1585.\nAnswer: -25974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*-1 + (sqrt(153) - (sqrt(153)*-6 - sqrt(153))*-4))\/(1*sqrt(324) - sqrt(18)\/sqrt(18)).\nAnswer: -66*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 947 - 1326. Let x = z - -378.99999535. Round x to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 414*q**2 - 2*q - 4. Let i be m(-1). What is the highest common factor of i and 11227?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1677632339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(8) + 3*(2*sqrt(2))**2.\nAnswer: 2*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -314524\/2405 - 10\/481. Let m = 131 + n. What is the fourth smallest value in 2, m, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 7. Let s = o - 0. Find the common denominator of (-226)\/(-40) + s\/(-12) and -29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlqqlqqq. Give prob of sequence qll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 + 2147 = -284*t + 95 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2. Let n(c) be the first derivative of -3 + 2\/3*c**3 + 0*c + 0*c**2. Give n(r(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*q**3 + 2485*q**2 + 2550*q.\nAnswer: -5*q*(q + 1)*(13*q - 510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n + 4487*n**2 + 43*n - 4550*n**2 + 28*n in the form o*n**2 + j + b*n and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 122*j**2\/3.\nAnswer: 2*j**2*(j + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/245 and 79\/350?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*o - 11*o. Suppose 86 + 29 = 5*s - o*v, -5*v - 69 = -3*s. Solve 27*w = s*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.5 or 20063?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 10*h**2 - 24*h + 4. Let u be i(-6). Solve -23*n + u*n = 114 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00345618 rounded to five dps?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -0.236434516.\nAnswer: -25.236434516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gixi. Give prob of sequence gi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*n - 18*n**2 + 0*n**2 - 44*n as w*n**2 + d + k*n and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = h, 2*h - x + 3*x - 2 = 0. Let j(z) = -13*z**2 + 8 - 5*z + 1 + 0*z**3 - 6*z - z**h. Let f be j(-12). Is f >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikf when three letters picked without replacement from {i: 1, f: 2, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 1845*k**5 - 5483*k**2\/2 + 6041. What is the second derivative of z(x) wrt x?\nAnswer: 110700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3882515492 to the power of 1\/2, to the nearest integer?\nAnswer: 62310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 5:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) - 50\/(-20). Let t(u) = 11*u**a - 3*u**2 - 3*u**2 + u**2. Let b(v) = -v. Determine t(b(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 + -569. Let m = f + 351.5. Which is the second biggest value? (a) -0.3 (b) m (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10597 is divided by 171.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 2*a, -4*a + n + 17 = -0*a. Solve -a*q - 17 = -x, 0 = 2*q + 2*x + 5 + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0, 6, -6743, 2 in decreasing order.\nAnswer: 6, 2, 1, 0, -1, -6743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/(-4095)*9)\/(6\/26).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:42 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7029 is divided by 3510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134.9 + 135.2. What is the fourth smallest value in -0.3, 339, -3, z?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74010.72 plus 3?\nAnswer: -74007.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3643 - -50040?\nAnswer: 54013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + 1a0?\nAnswer: 20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/6 + 2 + 192\/40. Let i = 3 - 2. What is the biggest value in a, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c)**(-12) assuming c is positive.\nAnswer: c**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*o + 2 = -10*o, -4*o - 8 = 0. What is the third derivative of 12*f**5 - m*f**2 + 12*f**2 + 0*f**5 + 6*f**2 wrt f?\nAnswer: 720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 4*o + 9, -6 = 3*o + 11*z - 13*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 4*m**2 + 2*m**2 + (2*m**2 + 3*m**2 - 3*m**2)*(2 - 4 + 0) - m + m - m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15) + 33\/(-270))\/(5060\/(-33396))\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)*-1 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let a(o) = 14*o - 31. Let p(h) = 22*h - 47. Let q = -70 + 62. Let z(w) = q*a(w) + 5*p(w). Determine z(u(c)).\nAnswer: 2*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45349 and 542841.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*k - 2*c - 21, -4*k + 3*c = -28. Let i = k + -4. Suppose i = 4*v + 7. Is v >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 70785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10922?\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(9\/5)))**(2\/13)\/((g*g**(-2\/9)*g)\/g**(-22)) assuming g is positive.\nAnswer: g**(-14072\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 10. Let v be 5\/7 + (p - -4). Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g)*(-2*g + g + 2*g) + g - 2*g - 6*g**2 - g**2.\nAnswer: -9*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2*(-1)\/(-4)). Suppose -m*t = -5*t + 231. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-58)\/138 + 44\/506)*-18. Which is the closest to 0.3? (a) l (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 less than -2410029421?\nAnswer: -2410029480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 14) in base 16?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 2*y - y + (-4*y + 2*y + 0*y)*(-2 + 3 + 1) as v*y + s and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.09 plus -112?\nAnswer: 135.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 - 20*c + 20. Give y(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, -5, -34 in increasing order.\nAnswer: -34, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -15*x**2 - x - 9. Let m(g) = 7*g**2 + g + 4. Let u(j) = -6*b(j) - 13*m(j). Suppose 5 = -2*y - 5. Let t be u(y). Solve 3*n + t = -0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26320458 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 20064232.\nAnswer: 20064229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -116. Let i(z) = -17*z - 84. Let d be i(-6). Calculate the highest common divisor of w and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -282, -36.\nAnswer: -282, -36, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 119318\/10 - (-2088)\/(-2610) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(110\/3234*(-4)\/40*-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/1452800 and 127\/5376.\nAnswer: 30508800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 7. Suppose 10*y + 7*y = 6*y. Determine i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786381491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpxp when four letters picked without replacement from {p: 8, x: 1, j: 2, f: 7}.\nAnswer: 49\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/((t*t*t**(-3)*t)\/t))\/((t\/t**6)\/t**(4\/7)))\/(t**(-2\/3)\/(t\/t**(2\/13))*t**(-2)\/t*t*t**4) assuming t is positive.\nAnswer: t**(1570\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4) + -5*(sqrt(4) + sqrt(256))))\/((sqrt(24)*-2)\/sqrt(12) - (sqrt(2) - (sqrt(72) + (sqrt(72) - 2*sqrt(72)) + sqrt(72) - sqrt(72)))).\nAnswer: -176*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842797497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + m**2 + m - 1. Let o be x(1). Let h be (-16)\/o*(-12)\/8. Solve -3*f = -h*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 57. Suppose -5*y + 45 = -5*m, 3*y - 5 = 4*y. Let g be m\/((3\/(-6))\/1). Calculate the highest common factor of a and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 + 2*v - 2. Suppose -78 = -95*g + 69*g. Give j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -18 - -16) + (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4020469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9640 and 495496?\nAnswer: 2477480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*a + 20 = 4*a, -3*a = -5*c - 17. Let u be 1\/((0 - c)\/2). Suppose -u*h = -5*h + 288. What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 23, 4, -29, -76, -137, -212?\n\"Answer: -7*l**2 + 16*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -660*d - 36105. Give m(-57).\nAnswer: 1515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 23*q**2 + 287*q - 8. Give s(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*49874\/(-10 + 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91250 and 9550?\nAnswer: 17428750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 15*a**2 + 2643*a + 10611. What is v(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4229481941?\nAnswer: 89, 47522269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -464 + 446 + (8 - 16) + 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -2*f. Suppose a + f = -r, -a - 4*a = -r - 20. Let x = -0.37 - 0.13. What is the biggest value in x, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 52*o + 239. Let p be x(47). Solve 3 = p*t - 4*m + 7*m, -4*t - 4*m + 8 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4 = 3*s + 3, 6 = 2*s + 2*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*a - 13*g = -132*a - 75, -7*a + 4*g + 265 = 0 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210122 (base 7) to base 13.\nAnswer: 13565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a2910 (base 13) in base 4?\nAnswer: 3330132030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 81\/(12\/(-20) + (-2)\/(-4)). Let m = -426 - t. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 7. Let q(o) = 16225*o**2. What is q(h(k))?\nAnswer: 16225*k**2 + 227150*k + 795025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12*(6 - 4). Let r = 0.0197 + 0.3803. What is the nearest to 0.1 in -0.1, y, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let a(f) = 362*f. Calculate c(a(i)).\nAnswer: 262088*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 5094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u + 16*u - 6*v - 24, -3*v = 4*u - 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2222100000?\nAnswer: -2222022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2510.904um in millimeters?\nAnswer: 2.510904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**6 + s**5 + 2204*s**3 - 7*s**2 + s + 819.\nAnswer: 120*s**3 + 60*s**2 + 13224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/10 - m**4\/6 + m**3\/6 - m**2\/2 + 91*m. Suppose 0*z = -3*z + 6. Calculate y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*u + 3*u - 43*u)*(27 - 21 + 117 - 22 + 102) in the form q + j*u and give j.\nAnswer: -10556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 52 = -2*b - 2*n, -b = -2*n - 33. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220221202 (base 3) to base 13\nAnswer: 8384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c + 79. What is s(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/7 + 36*c**4\/7.\nAnswer: -2*c**4*(c - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2974, 5, 792.\nAnswer: -3, 5, 792, 2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15*h\/((h\/(h*h**(3\/13)))\/h))**12 assuming h is positive.\nAnswer: h**(2688\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let v(u) = 100*u + 92. Let q(y) = v(y) + 12*w(y). Let l(m) = 55*m + 40. Let s(o) = 5*l(o) - 3*q(o). Find the first derivative of s(g) wrt g.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(57)\/(sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 22102201211100?\nAnswer: 22102201211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c - 61. Let u be v(13). Let r(x) = -x**3 + 13*x**2 - 9*x + 12. Let p be r(9). Suppose -o + p = u. What are the prime factors of o?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 4, j: 2, p: 1}. Give prob of sequence jvuu.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 55)*91\/(-52). Let u(n) = 3*n + 31. Let z be u(-6). Let m = h + z. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25000, 99319, 221980, 391999, 608392, 870175?\nAnswer: 1176364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 123, 23, -107, -261, -433, -617, -807?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u**(-2\/13))\/u)**(-38)\/(u**(-4)*u)**(-24) assuming u is positive.\nAnswer: u**(-2342\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-7)*k*k**(-1\/3)*k*(k*k**4)**(3\/19) assuming k is positive.\nAnswer: k**(596\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 61 = -4*k. Let i = k - -14. Let y be -2*2\/(i\/(-15)). Calculate the highest common factor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = 38. Suppose 795 = -2*o - 3*o. Calculate the remainder when 34 is divided by 1\/3 + o\/h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**4 - s - 4*s**5 + s + s**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322.597 * 0.232\nAnswer: -74.842504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-7 - 0) + 8 - (6 - -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44847935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7577 - -12133. List the prime factors of t.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1105 + 5.8895. Suppose 7 = 4*g + 3. Which is the nearest to -5\/4? (a) g (b) u (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*v - 4*v - 5 = 0, 0 = 5*l + 4*v - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**2 + 2*u - 1. Let b = 51 + -43. Let s be ((-8)\/(-32))\/((-2)\/b). Let w be c(s). Solve -3*r + w = -4*h + 2*r, -r + 10 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -884 + 892. What is the remainder when 141 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95238 and 111501?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 - 2*d + 3. Let k be q(2). Let t be (2\/k)\/((-1)\/(-6)). Suppose -3*a = -t*a + 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/12)\/((-40)\/(-24)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 11*w + 21. Let q be a(2). Let v(i) = 2*i + 3. Give v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 - 97148*m**2 + 776928*m = 0. Calculate m.\nAnswer: 0, 8, 24279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 4*a - 2. Let y(n) be the second derivative of -n**3\/6 - n**2\/2 + 55*n. Determine -h(q) + 3*y(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 2*c**3 + 2 + c + 6*c.\nAnswer: -2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (16 + (14 - -5) - 136)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 500*k - 1005*k + 506*k + 23 + (-1 + 0 + 13)*(-2*k - 3 + 3).\nAnswer: -23*k + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.3, -0.08, 0.2, 57, 4 in decreasing order.\nAnswer: 57, 4, 0.3, 0.2, -0.08, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 576881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12158*v**3 - 2*v**2 - 22452.\nAnswer: 36474*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -611, -613, -615, -617, -619?\n\"Answer: -2*j - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w + 54 + 98*w - 47*w - 26 - 26.\nAnswer: 87*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 1. Suppose -5*z - 2*t = 12 + 8, -27 = z + 5*t. Let d = 674 - 673. Let k be ((-2)\/4)\/(d\/z). Calculate q(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3 + m - 5 + 3. Let c(j) = -2*j**3 - j**2 + j. Let y(o) = o**3 - o**2 + 5*o + 4. Let z(d) = -c(d) + y(d). Give 4*v(g) - z(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-72)*54\/2*(-4)\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -73. Let t = d - -72.999968. Round t to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 3*p**5 + p**5 + (-3*p**2 + 6*p**2 + 0*p**2)*(-4*p**3 + 4*p**3 + 2*p**3) - 8*p + 12*p + p**5 - 9*p.\nAnswer: 11*p**5 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + -0.2. Let p = 64.6 + -48. Let j = -17.1 + p. What is the nearest to g in j, 2\/5, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6680 - 4395. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-25 - -8) + 38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -27. Suppose -76*z + 30 = -91*z. Let v be 49\/(z + (-28)\/b). Calculate the highest common divisor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - a - 296 = 0, 0 = 6*a - 11*a. Calculate the common denominator of -19\/46 and (-1)\/(-48)*133 + (u - 151).\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -789, -1771, -3145, -4911?\nAnswer: -7069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 14, -272135, -0.3 in ascending order.\nAnswer: -272135, -3, -1, -0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - sqrt(104)*-2*-4)\/((sqrt(16)\/sqrt(2) + sqrt(8) + sqrt(8) - sqrt(8))*-6 + sqrt(8)).\nAnswer: 7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*l - 611 - 731 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2409\/19478 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/28220)\/((-14)\/(-119)).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 1557 = 50*v. Let k = v - -183. What is the highest common divisor of 220 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l**3 + 16*l**2 - 9*l - 3. Let v(c) = 7*c**3 + 8*c**2 - 4*c - 1. Let g(u) = 6*o(u) - 11*v(u). Let s be g(-6). Let m = 210 - s. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 - 2)*(-1 + 1 - 1)*(38 - 38 + 8*c)*(-2*c**4 + 2*c**2 - 2*c**2).\nAnswer: 96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 76, 0.2, 8, 5, -2, 0.45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3\/3 - 3*f**2 + f - 3. Let u be (8 + -4)\/((-7)\/((-84)\/8)). Suppose 2*q - 2 - u = 0. What is c(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7374 - -7398. Let b = 8 + -6. Calculate the smallest common multiple of q and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11923490553\/21389 + 557459. Is x smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -240*i - 56*i**3 - 9*i**2 - 37*i**2 - 29*i**2 + 51*i**3 + 320 = 0. Calculate i.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36336758935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j - 0, f - 6 = -4*j. Calculate the highest common divisor of f and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-7 + 0) - 5. Let z be ((-10)\/6)\/(7\/3). Let t = z - -3\/14. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w - 5. Let x be u(-3). Solve t + 16 = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 7)*(c - 4*c + c)*(-5 + 1 + 2)*(0 - 4 + 1).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-4704))\/(1\/7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7859620 divided by -1571924.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:51 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 33*p**2 + 672*p + 434. Determine a(-20).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 145 - 280 = 45*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3398 = -227*y + 225*y. What are the prime factors of y?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(1*(-16)\/20*195\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3376*x + 37234. Calculate b(11).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 704 and 0.5.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*a = 1319, 0 = -n - n + 3*a + 521. Let l = n + -87. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -0.5, 1.1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 + 2*n**3 + n**2\/2 + 11*n + 11. Let r be y(-6). Suppose -4*f + 4 + 4 = 0. Solve -r*o - 6 = -f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 + -4. Let y = 0.3 + -0.7. What is the biggest value in y, o, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 0*k**3 - 4612*k**2 + 4612*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/10 less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 1283*f**3 + 0*f**2 - 1278*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1889280 and -36\/2255?\nAnswer: 20782080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 6*p + 6. Let g be u(-5). Let y be 4*(g\/(-10))\/1. Let k = 2 + -4. What is the nearest to k in y, 4, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8 and -89\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/9 (b) 5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -614, -919, -1224, -1529?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6126*y. Let o(j) = -4*j**2. Calculate o(b(u)).\nAnswer: -150111504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40408\/5229 - -10\/747. Which is smaller: -9 or w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*-3 + 160\/168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 1. Let p(w) = 14*w**3 - 2*w**2 - w - 56. Let k(b) = 2*d(b) - p(b). Find the second derivative of k(z) wrt z.\nAnswer: -84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*b - 22 = -187*b + 88 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(9\/2)\/d*((((d\/(d\/d**(-3\/8)))\/d)\/d)\/d)\/d)**(-3\/8))**(1\/5) assuming d is positive.\nAnswer: d**(21\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2 = 5*z - 30, -x + 4*z + 2 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o - 3. Let l be q(-8). Let y be 4*3\/4 + l. Let c = -13 - y. Solve -n + 0*n = c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 2)**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 + 17*p**2 + 20*p - 79. Let i be m(6). Solve 78 = i*g + 53 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -851 + 3?\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110157 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2737 - 2738 - 2*p**2 - p**3 - 4*p + 0*p to w + o*p + i*p**2 + g*p**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -3.06, -6\/5, -1\/3 in increasing order.\nAnswer: -3.06, -6\/5, -1\/3, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 31) + (-2 - 1) + 9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 5*m**2 - 6*m**2 - 2*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3201 + -40432?\nAnswer: -33231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 3. Let q be 0\/(6\/(-2)) + 1. Let j be (-1080)\/(-50) + 2*q\/5. Let x be 12\/(-8) - j\/(-4). Let s(a) = a + 2. Calculate x*l(u) - 7*s(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204016.\nAnswer: 2, 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048154663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(170) + sqrt(170) + sqrt(170))\/sqrt(10) + sqrt(2448) + -1)**2 + sqrt(51)\/sqrt(3) + -3 + (sqrt(612) - (sqrt(612)*1 - sqrt(612))**2))*-2.\nAnswer: -7646 + 46*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(2*y - 3 + 3 + (-2 - 2 + 3)*(-2 - y + 2) + 4*y + 3*y - 5*y)*(50*y**3 + 47*y**3 - 20*y**3).\nAnswer: 385*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56083096 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(3\/4)\/b*b)))**6 assuming b is positive.\nAnswer: b**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 + 20*v**2 - 771*v\/2 - 405.\nAnswer: (v - 15)*(v + 1)*(v + 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1782 * 147\nAnswer: 261954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1. Let x(s) be the first derivative of -s**3\/3 - s**2\/2 + 41. Let y be x(c). Solve 7 + 4 = -l + 3*m, y = -2*l + m - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from {p: 2, f: 3, v: 1, d: 9, b: 3, o: 1}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6159968 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 u when four letters picked without replacement from afajffafjffaju?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 936 + -577. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggc when four letters picked without replacement from cgccggc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 7*l + 2*v - 11 - 14 = -16*l, -2*l - 31*v + 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 114c - -4b?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, 118?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - t + 4*t + 0 - 2. Let h be 2*(1\/2 + 1). Let b be n(h). Is 0 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -258, -270, -294, -330, -378, -438, -510?\n\"Answer: -6*b**2 + 6*b - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49227441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2\/4 + 3*t\/4 + 567 = 0.\nAnswer: -27, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 132, 263, 394?\n\"Answer: 131*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -851*x - 113152. Determine c(-133).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 229563, 459126, 688689?\n\"Answer: 229563*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3874797 is divided by 21526.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w + 7 = -4*b, w - 11 = 5*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 51065 - 25532 - 25534 - 353*i as n*i + j and give n.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose i*f - 6*f = 1034. What is the units digit of (f\/(-3) + -3)*(-21)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10631 is divided by 389?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, s: 5, q: 3}. What is prob of picking 1 s and 1 w?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfflsftlfomfflm. What is prob of sequence sftm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -18. Let b = 10 - i. What is the units digit of (-12)\/4 - (-18)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22064 - 22062. Let r(k) = -2*k**3 + 4*k**2 - 2*k - 6. Give r(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2281536*h - 567349?\nAnswer: -2281536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 8*y**2 + 10*y - 8. Let g(m) = -m**3 + 7*m**2 - 9*m + 7. Let s = -5 + 2. Let t(o) = s*g(o) - 2*w(o). Calculate t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 3. Let s(t) = 7*t - 5 + 2 - 4*t. Let i be s(2). Let l be o(i). Solve u + l*u - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462.894984 times -2\nAnswer: -925.789968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 410862103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033531*-11.3.\nAnswer: -11678900.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 22114446.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*o + 4*q, -732*q + 736*q - 44 = 0. Suppose 3\/5*l**2 - 6\/5*l + o = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -821224 or -821222?\nAnswer: -821222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -1. Suppose 0*w + q = 4*w - y, -5 = -5*q. Suppose -w*c = -5*p - 16, 2 = 2*c - 3*p - 6. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 1 m when three letters picked without replacement from {r: 2, x: 1, m: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p + 14*p + 2*p**2 - 7*p)*(-2*p + p - 5*p + (5*p - 3*p - 3*p)*(-4 + 0 + 2))*(-3*p - p + 6*p).\nAnswer: -16*p**4 + 88*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbysssbsssmyssmm. Give prob of picking 1 y and 2 b.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1, -0.1, 3, 2\/49, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -612*f**4 - 2*f**3 - 55*f + 18*f + 91 + 36*f - f**2 + f**2 wrt f?\nAnswer: -7344*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/1)\/((272\/17)\/(-4)))\/(1551\/(-846)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194469.7 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, -9.\nAnswer: -25, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 32*l**2 + 93*l + 43. Let m(y) = -16*y**3 + 158*y**2 - 464*y - 213. Let v(s) = -11*g(s) - 2*m(s). What is the units digit of v(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 185*q**2 - 27*q + 909. Is s(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*c = 2796 - 556 + 259 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45206 (base 7) to base 14.\nAnswer: 423d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338432974 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 7479?\nAnswer: 74790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -817640.\nAnswer: -1\/204410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 232 = 5*c, 3*c - 3*s = 2*s + 152. Suppose -5*i + 271 + c = 0. Let h = -48 + i. Are 10 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947627 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441679 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 1625, 2706, 4109, 5942, 8313, 11330, 15101?\nAnswer: 19734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0 + 6. Let q = 117 - 116. Calculate the lowest common multiple of (6 + q - y) + -2 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:38 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from rrruuuuuur.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -190, -1970, -6798, -16198, -31694, -54810, -87070, -129998?\n\"Answer: -254*w**3 - 2*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let a(j) = -j**2 - 23*j + 57. Let t(f) = a(f) - 2*g(f). Let u be t(-23). Solve 0 = -11*b + u*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -50*f - 2. Let u = -3 - 1. Let m be l(u). Suppose -c + r = 5*r - 26, -76 = -4*c - 2*r. Calculate the highest common factor of m and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d - 32 = 1100 + 432 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/8 and -69\/5410408.\nAnswer: 5410408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 295088 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*t + 19 = 0, o - 5*t = -o + 20. Let a be (-2)\/(-10) + 297\/o. Let c be a\/5*(-10)\/(-4). Solve m + c = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.14. Let o = -0.1944 - g. What is o rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f + 111. Give t(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhh when three letters picked without replacement from hhqqhq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i - 10. Give g(-21).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5477857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -29, -58, -99, -152, -217?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 3*i - 2. Let q be w(5). Let f = 90 - 134. Let u = q - f. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004142072622 to six dps.\nAnswer: 0.004142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 114385 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*x = -24, -5*r + 2*x + 28 = 6*x. Let d be (6 - 1)*(-4)\/5. Let h be (-1)\/d + 26\/(-8). Sort r, -4, h in ascending order.\nAnswer: -4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrbkkgbggkkbgkkbr. Give prob of picking 1 b, 2 k, and 1 w.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1562794868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**2 - 32*p**2 - 5*p**2)*(-4 + 5 - 9) to the form j + b*p**2 + r*p and give b.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + y + (y - y + 2*y)*(-3 + 1 + 1))*(0*y - y - y)*(-4*y + 5*y + 13*y) to the form p + n*y**2 + c*y + a*y**3 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 12. Let a(q) be the first derivative of 8*q**3\/3 + 2*q**2 - 4*q - 207. What are the prime factors of a(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*(u**(1\/14)\/u*u*u)\/u)\/(u*u\/(u**2\/u))**0*((u**(-2\/11)\/u)\/(u*u**(-14)*u))**12 assuming u is positive.\nAnswer: u**(39929\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 321002 (base 4) to base 15\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*k - 4*c, -c + 10 + 26 = 3*k. Let l be (14 - k) + (4 - 0). Let m be ((-2)\/l)\/((-4)\/30). Which is greater: m or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(56\/48 + -1). Let p(z) = 16*z + 5. Determine p(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4204391 is divided by 51273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*v**2 + 16 - 9 - 7 - 90*v**3 wrt v.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*g = 20*g + 64, -2*y + 2444 = 3*g + 2456 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140413*a**3 - 11*a*j*t - a*t + 318301*j - 9*t wrt a?\nAnswer: -421239*a**2 - 11*j*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -36. Let j = p - 25. Which is the third smallest value? (a) -3 (b) j (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/3)\/o**(-2\/19))**(-36) assuming o is positive.\nAnswer: o**(-984\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/111*11\/(462\/(-28)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039661 take away -0.0237?\nAnswer: 0.063361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8670 and 15480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1690, 3016, 4342, 5668, 6994, 8320?\nAnswer: 9646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 - 125*y - 1049. Determine h(-10).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47, 1\/241, 2\/3, 0.47, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*1630378\nAnswer: -195645.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -823 divided by -4409\nAnswer: 823\/4409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12912?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5910125 and -9.\nAnswer: 14.3191125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from qlyqljx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(1300) - sqrt(13) - (sqrt(13) - (sqrt(13) + 1)*1)) + (2 + sqrt(1872)*-1 + -5)**2.\nAnswer: 63*sqrt(13) + 1882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -240*b - 273. Determine s(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821620856 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z - 4 - 49*z - 33*z - 18*z + 76*z.\nAnswer: -49*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaaqaaqaaaaqrdq. Give prob of sequence adr.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2 = 2, 54 - 60 = -2*o + 2*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (92\/48)\/((-3)\/12)*-54. Suppose -415*j + 1 = -b*j. Let s(d) = -d**3 - 4*d**2 + 4*d - 6. Let x be s(-5). Sort 0, x, j in descending order.\nAnswer: j, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 117*v - 32. Let c be b(16). Let t = c + -172. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39108777 greater than or equal to -39108777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m - 706*m - 357*m.\nAnswer: -1099*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9.2 * 5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 5. Let p be a(0). Let z = -3 + p. What is the units digit of z - (0 + 0\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 15 = 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 24 in increasing order.\nAnswer: -2, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(8\/11) + 1. Let g = 9 + -11. Let k = -2.965 - 0.035. Which is the nearest to g? (a) k (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g + 1560 = 66*g. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*v - 17*v + 7*v**2)*(-v**2 - v**2 + 10*v**2) to the form t*v**4 + q + p*v**2 + r*v**3 + y*v and give t.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g + 1806477 + 395*g**2 - 1806477 + 64*g**3 wrt g.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -518, -516, -514, -512?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-220)\/(-30))\/(4\/3). Solve 15 - n = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*m**3 - 3*m**2 - m**5 - 2959*m + 2959*m + (-m**2 + 2*m**4 + m**2)*(2*m - m + m).\nAnswer: 3*m**5 + 31*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*g - 58 = 0, 4*g - 36 = -2*z - z - 22*g for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 2) + -22 - -6 - -1 - 17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3662244 and 522?\nAnswer: 106205076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/(-6) + (-180)\/(-135)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 12) to base 11.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*h**5 - 5502*h**4 - 388065*h**3 + 286614*h**2 + 106920*h = 0. Calculate h.\nAnswer: -54, -3\/11, 0, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 0 (c) -4\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*g - 12*g - 2*g**3 + 11*g**3 + 8*g**3.\nAnswer: 17*g**3 - 68*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*j - 40*j + 1440 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - 27. Let m = 133 + n. Find the second derivative of 8*g**2 - 48*g + m*g + 11*g**2 - 63*g wrt g.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((0 - 10) + -3 - (3 + 3))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -220587569.\nAnswer: 4\/220587569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 times -10?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 228, 350, 472?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 2}. Give prob of picking 1 a and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 6*n**3 + n + n**3 to the form y*n**3 + x*n + d + k*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 319, 278, 237, 196, 155?\n\"Answer: -41*a + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 8\/65, 9, 4\/5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1373 by -104084.\nAnswer: 1373\/104084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o. Let s(f) be the first derivative of 18*f + 0*f**3 - 1\/3*f**4 + 0*f**2 - 17. Let w(m) be the first derivative of s(m). What is w(g(j))?\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/728*-130 - 50.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-24))\/g**(-6\/5)*(g\/g**(1\/10)*g)\/(g*g**(-41)) assuming g is positive.\nAnswer: g**(681\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23380 and 4676.\nAnswer: 23380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -4 - (-2749 + -4 + 9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7269534 by 6.\nAnswer: 1211589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -8.9. Let p = -0.3 - -0.4. Is p less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/15 + 7*c**4\/24 + c**3\/6 + 5*c**2. Let s be f(-6). Suppose -5*l = 5*n - 95, -2*l - n = 3*l - s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 17*r - 14. Let c(k) = -5*k**2 + 17*k - 14. Let m(z) = -2*c(z) + 3*q(z). Let x be m(-18). Sort -38, 1, x in increasing order.\nAnswer: -38, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 + 12046*u**2 - 2482*u?\nAnswer: 6*u + 24092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 6*u - 2*u = -269, -4*b + 861*u = 866*u - 207 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270*z - 4*z**3 - 562*z + 294*z + 1 + z**2 to g*z**3 + u + v*z + c*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.2 - 8. Which is the closest to x? (a) 5 (b) -2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/69250 and -57\/250.\nAnswer: 69250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2 - 8\/(-4). Solve f = -0*f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 3. Let a be c(-2). Solve -a*d + 3 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 90 + 490 = 0. Calculate the remainder when o is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = n - 0*n - 823, 483 = 3*a - 3*n. What is the remainder when a is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i**2 + 2*i**2 + 0*i**2)*(-6*i + 3*i + 4*i)*(-2*i + 5 - 5) - 54*i + 54*i - 4*i**4.\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 541450192*a**2*q**2 + 1948*a**2 + a*q - 9749*a + 1 wrt q?\nAnswer: 1082900384*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**8\/112 + 2*j**7\/35 + j**6\/20 - j**5\/5 - 3*j**4\/8 + j**2. Let l(i) = 0. What is i?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295440413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28263 - 22636. What is the remainder when i is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2 - 9*x + 37. Determine y(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8207455 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6318 - -2527. Round y to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*c - 5*c. Let z(y) = 9*y**3 - 2*y**2 + 5*y + 6. Let x(j) = 8*j**3 - 2*j**2 + 4*j + 5. Let s(b) = 5*x(b) - 4*z(b). Let o be s(c). Sort 0, o, 3.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 13) in base 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7)*p)**(4\/7)\/(p\/(p**(1\/2)*p))**(-13) assuming p is positive.\nAnswer: p**(-541\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730319349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -21918 = -21927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 7*a - 23. Let c be w(-3). Suppose z + 5 = 2*z. Solve 4*o - 3*g - 20 = 0, -z*o + 2*g = -g - c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 14) to base 7.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*m + 38*m + 1 + 1 - 8 as y*m + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536234*z + 3*b + 21 = 536230*z, 3*z = -b - 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14969?\nAnswer: 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/3, -1.14, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6591, 26636, 60167, 107190, 167711, 241736, 329271, 430322?\nAnswer: 544895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 512, 769, 1026, 1283?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.2. Let v be 1*(-2 - -1) - -1. Let z be 10\/(-8)*(-7 + 55\/5). What is the closest to g in v, z, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 838003.541 to the nearest 10000.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21728.117 times 0.037?\nAnswer: 803.940329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 3, 22, -11.5, 51\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:32 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2301538, 4603070, 6904616, 9206176, 11507750, 13809338, 16110940?\nAnswer: 18412556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4. Let o(n) = n**2. Let j(p) = o(p) - t(p). What is the remainder when j(-3) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 88*j + 36. Let o be t(46). What is the highest common divisor of o and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8904665250?\nAnswer: 2, 3, 5, 13, 304433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x**4 - 16401*x**2 - 628808*x?\nAnswer: -84*x**2 - 32802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10098 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) 5 (c) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:10 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6041933 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -417\/2267536 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35.23 and 13.\nAnswer: 48.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3420 divided by -342?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l**2 + 0*l)*(-l + l + 2*l) - 3*l**2 + 27*l**3 - 55*l**3 + 22*l**3.\nAnswer: -2*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-725)\/(-15))\/5)\/((-8)\/(-3) - 3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 5. Let j(o) = -o**3 - 3*o**2 - o - 4. Let b be j(-4). Let t = 23 - b. What is the units digit of a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25315 and 7.31.\nAnswer: -185052.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 27 (c) -4 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1981 + 5076. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 36 = 4*s, -3648872*a = -15*s - 3648876*a - 139 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/6 + ((-8)\/(-6))\/2. Is g != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/20 + j**4\/4 + j**3\/3 + 4*j**2 - 9*j. Let d be h(4). Suppose -n = -d*n - 43. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -97999*a**2 + 11*a + 30. Let q be j(-5). Round q to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -16 + 0*c**3 + 0*c - 1\/3*c**6 + 0*c**4 + 14*c**2 + 0*c**5. What is the second derivative of h(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.02 (c) -4 (d) -0.05 (e) 1653\/73\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from oottooto?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 217 = -997. Suppose -14*l + 17*l - p = 0. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g**2 + g**2 + 2*g - 7*g**2 - 1. Suppose x = -3*x + 16, -2*r + 20 = 4*x. Suppose 0 = 5*n - 7 + r. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrn when three letters picked without replacement from rrdndrdnrdr?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7373.496 rounded to the nearest ten?\nAnswer: -7370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 188 = 7*r, 6814 = -2*b + 6892 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by (4\/(-15) - (-5)\/(-75) - -4)*159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -291 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0178082 and -0.07.\nAnswer: 0.001246574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 26*g - 24*g = -6, 5*v - 3*g = 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8660 + 8663. Solve 4*d - 25 = -3*f, 8*f - 4*f + x*d - 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/4, 1\/281, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -823445, -1646889, -2470333?\nAnswer: -3293777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + 14. Let x = r - 37.8. Which is the biggest value? (a) x (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b037 - -29d?\nAnswer: b2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -796 - -1244. Let n = -445 + i. What is the smallest value in n, -2, 6.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*d + 2096, -22*d = i - 18*d - 530. What is the lowest common multiple of i and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(27)\/sqrt(3) + sqrt(9)))\/(sqrt(15)\/sqrt(27)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/((-2)\/10). Let c be i + 5\/(-2 + 1). Is c*(-160)\/6 - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 799, 1194, 1587?\nAnswer: 1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 + 194. Which is the closest to 1? (a) -4 (b) -0.02 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmememmmeemmme. Give prob of picking 4 e.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*y - 2, x = 1 + 1. Let c be (-4)\/8*(y - 7). What is the first derivative of -3 - c + 12 - 21*o + 20*o wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/9 - 640*s**2\/9 + 17278*s\/3 - 11236 = 0. What is s?\nAnswer: 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 251.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5752782 and 6711579?\nAnswer: 40269474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 + q + 11. Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 3 - 3)*(-1 - 2*y + 1 - 2*y - y + 0*y - 5*y + 5*y - 2*y + y - 4 + 4 + (-6 + 1 + 3)*(2*y + y - 2*y)).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -8397289.\nAnswer: 3\/8397289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.54462 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8891*x + 35. Let i(y) = -48900*y + 192. Let a(f) = -5*i(f) + 28*j(f). Let r be a(-5). Suppose -3*p - r = -0*p. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c - 49 = 89*c - 2*s - 5, -4*s + 100 = -8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 - -0.1. Let a = -235.32 - -242. Let m = a + f. What is m rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*(o*o**(-6))\/o*o)\/((o*o*o**(-1\/4))\/o*o*o\/(o\/(o\/(o**4*o)))) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*p = 4870, -4*t + 8*t - 3*p - 3897 = 0. Let o = 2331 - 2321. What is the remainder when t is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (3*sqrt(847) + 4 - -3*(sqrt(847) + -2))))**2.\nAnswer: -6600*sqrt(7) + 762400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 26*y + 532. What is c(-25)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -1 (c) 4 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.1. Let r = -327 + 324. What is the nearest to n in -1, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4 - 2. Sort x, 1, -0.3 in decreasing order.\nAnswer: 1, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 46 = -5*j - 64, 0 = -4*v + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, h: 6}. Give prob of sequence nh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -31. Which is the third smallest value? (a) u (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 5*p + 22. Let r be g(6). Let q(b) = b**3 + 9*b**2 + 8*b - 7. Give q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774573763.\nAnswer: 41, 18892043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1478, -1480, -1482, -1484, -1486?\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -958050330783 - 9?\nAnswer: -958050330792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7709\/2616 + 192\/109. Calculate the common denominator of 35\/24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((1*sqrt(832) + sqrt(832))*4 - (0 + sqrt(832) + 0)) + 3)**2)*-2.\nAnswer: -81550 - 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2039\/5, -2\/31 in ascending order.\nAnswer: -3, -2\/31, 2039\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let j = -642\/7 - -92. Put 2, j, y in decreasing order.\nAnswer: 2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 22 + 8 + 6 + 8.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(1 - -2) - 2. Suppose 30 = 3*l + 15. Which is the third biggest value? (a) i (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -29*p - 19. Let t be s(-1). Suppose 10*d + 4*x = 7*d - 5, t = -2*x. Solve -v - v + 4*y = 18, -15 = -d*v - 5*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01278 rounded to 4 decimal places?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 12. Factor -m - m**s - 2*m**2 + 5*m**2 + 2*m**2 - 3*m**2.\nAnswer: -m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 188? (a) -257\/4 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 333081 divided by 1\nAnswer: 333081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:58 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 8*p - 1. Let a(b) = -b**2 - b + 1. Let j(v) = -2*a(v) - f(v). Let c be j(-7). Suppose -c = -4*n + 99. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -38 (c) -4 (d) -5 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 87805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -0.5, 307.5, -12, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10037027 divided by -110297.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1136 + 1136.3. Which is the biggest value? (a) -22\/3 (b) w (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*k - k - 29, 51 = 2*x - k. What is the greatest common divisor of 234 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/510*(-2405)\/(-26).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111011011111 - -10100001010110?\nAnswer: -10000011010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and 47\/31141508?\nAnswer: 62283016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2364494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39655091.7 and 0.2.\nAnswer: -39655091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - q + 94, 2*q = 4*h + h + 98. Let y = 16 + h. Which is the nearest to -0.3? (a) 1 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -45*o**2 - 1664*o + 662. Let h(u) = -112*u**2 - 4160*u + 1656. Let c(b) = 5*h(b) - 12*t(b). Factor c(d).\nAnswer: -4*(d + 42)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 + 2 = 0. Let y = 8 - 3. Let w(x) = 3*x - 3. Let a(f) be the second derivative of 5*f**3\/6 - 5*f**2\/2 + f. Give l*w(u) + y*a(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 525653?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 10, r: 3, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 d when four letters picked without replacement from {d: 3, p: 3, u: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.2, -39800, 4 in descending order.\nAnswer: 4, -10.2, -39800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 18, 18, 28, 54, 102, 178, 288?\n\"Answer: j**3 - 4*j**2 + j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108696 = 43*o - 41159. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322101110130322 + -2?\nAnswer: 322101110130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**5 + 2*z**4 + z**2. Let p(s) = 502*s**5 + 20*s**4 + 530*s**2 - 2. Let c(o) = p(o) - 10*r(o). What is the third derivative of c(v) wrt v?\nAnswer: 29520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 0*l + 0*l**2 + 0 + 4\/5*l**4 - 2\/5*l**5 - 2\/5*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s - 5*n - 7, 0 = -s - 4*n - 14. Suppose -u + s*u - 20 = 0. What is the third derivative of 4*w**4 - 4*w**u - w**4 + 0*w**4 + 2*w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 53371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, p: 2, x: 6}. Give prob of sequence eepp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1814335*h*q**2 - h*q*y**2 - 17521*q**2*y**2 - q**2*y + 76*q with respect to h.\nAnswer: -1814335*q**2 - q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19470 - 11458. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(1008) - sqrt(1008)*1) + sqrt(1008))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 6*x**2 + 8*x**2 + x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 1. Let w(d) = d - 1. Let j(o) = -3*l(o) + 12*w(o). What are the prime factors of j(10)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**4 + 3*j**3 + 16*j**2 - 3. Let b(c) = -8*c**4 - 5*c**3 - 31*c**2 + 5. Let s(l) = -6*b(l) - 10*w(l). What is the third derivative of s(g) wrt g?\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (3 - 3) - 0. Suppose t + 0*t + p - 24 = j, -5*p + 25 = 0. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 5*h**3 + 12 + 12.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-5)\/(-25))\/((-8)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c*i*o**3*w + 4*c*i*o**3 + 3*c*i*o**2*w**2 + 2*c*i*o**2 + c*o**3*w**2 - i*o*w - 2*i*w**2 + 3*w wrt o.\nAnswer: -30*c*i*w + 24*c*i + 6*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -429 - -429. Solve -2*v - i - 14 = t, 27 = -3*v - 2*i - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 + 3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1829 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 371, 714, 1057, 1400?\n\"Answer: 343*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6443, 6442, 6441, 6440, 6439?\nAnswer: 6438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 + 33*f + 406. Let n be j(-8). Which is the biggest value? (a) n (b) 1\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38407*h**2 - 12809*h**2 - 12800*h**2 - 12817*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 195410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4209992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - sqrt(132)*-4))*2 - -4*(sqrt(132)*-1 + sqrt(132)))\/((sqrt(108)*-2 - sqrt(108))*-5*5).\nAnswer: 4*sqrt(11)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482013 at least as big as 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4453, 8811, 13167, 17521, 21873?\nAnswer: 26223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 3. Let x = i + -36. What is the third biggest value in -4, x, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-1))\/(-4)*-12. Is 1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97956 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5018712 divided by -474\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q + 2. Let j be a(-1). Suppose 4*l - 458 = -5*f, 2*l - j = 3. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112))**2 - ((sqrt(7) - (sqrt(7) - (sqrt(14)\/sqrt(2))**2)) + 1).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or 543318?\nAnswer: 543318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 32*y**7\/7 + 43*y**3\/3 - 28. Find the third derivative of j(i) wrt i.\nAnswer: 3840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2574698 - 2574698 + 1085*y - 2*y - y + 5*y - 1 + 1 - 2*y - 2*y - 4*y + 3*y + (3 - 3 - y)*(-2 - 3 + 4) + 2*y - 5*y + y as p*y + l and give p.\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (19 - -1) + (-187 - -124)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -20, -4174 in decreasing order.\nAnswer: 4, -2, -20, -4174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 952\/(-3060)*6\/(-14)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 11*h**3 + 17*h**3 + 7*h**3.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -291 or -185697?\nAnswer: -185697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 650, 629, 584, 503, 374, 185, -76?\n\"Answer: -2*d**3 - 7*d + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (740*p + 583*p - 302*p)*(4 - 4*p**2 - 4) + p**3 + 0*p**2 + 0*p**2.\nAnswer: -4083*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a69 (base 11) in base 9?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4963*o**5 + 30*o**4 - 166592*o - 2 wrt o?\nAnswer: -99260*o**3 + 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1. Let k(v) = v + 1. Let p(l) = 2*k(l) - 2*s(l). Let u(f) = -12*f. Give p(u(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, 10, 44, 94, 166, 266?\n\"Answer: j**3 - j**2 + 20*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minus -0.7?\nAnswer: 689.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/3 - 163340*q**3\/3 - 3334994450*q**2\/3 = 0.\nAnswer: -40835, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bylbtmlp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 31*x**4 + 11*x - 68*x**4 + 12*x**5 + x**3 + 34*x**4. Let m(r) = r**5 + r. Let d(c) = -4*f(c) + 44*m(c). Solve d(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 3*u - u + (-1 + 3 - 1)*(-4 - u + 4) + 3 - u - 3)*(8 - 6 - 9) - 2 - 5*u - 4*u + 6*u to the form m + v*u and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 + -2 - (-19 + 17))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = -15. Suppose 35 = 5*u - 3*i, 0*u + u - 30 = -g*i. Solve -u = -t + 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 49 - 5*a - 48. Suppose 0 = -b - 6*b. What is n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/6 + 33169*w - 1393049\/6 = 0?\nAnswer: 7, 199007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 times -3?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -134, -300, -606, -1094, -1806, -2784, -4070?\n\"Answer: -7*h**3 - 7*h**2 + 2*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrjttneterryrt. Give prob of sequence enjr.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d + 5. Let n = -17 - -12. Let a(z) = 7*z + 3. Let o(c) = n*i(c) + 8*a(c). What is the units digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (sqrt(1377) + (1 + 2 + sqrt(1377))**2 + sqrt(1377)).\nAnswer: -1386 - 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 11807*a - 22 - 9.\nAnswer: -11807*a - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 1)*(-3*z**4 + 0*z**4 + 9*z**4) - 13*z**4 - 69 + 69 to the form s*z**2 + b*z**3 + c*z + k*z**4 + v and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -425, 145, 84, 3 in descending order.\nAnswer: 145, 84, 3, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 - 1733838*i**2\/7 - 375773409360*i\/7 + 375775143200\/7.\nAnswer: -2*(i - 1)*(i + 433460)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1642?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/35)\/((-2)\/50). Which is the nearest to 2\/3? (a) 0.1 (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148 < 5147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5222 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -95*s**3\/6 + 2*s - 3. Let r(h) = 0*h + 2*h + 2*h**2 - 2*h. What is r(d(v))?\nAnswer: 18050*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1961848*i**2*q**3 + 104*i**2*q + 2*i*q**2 + 1225*q**2 wrt q?\nAnswer: 11771088*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(152) - (sqrt(152) - sqrt(152)*-4))\/sqrt(8).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*s + 5, -11*s - 5*n + 50 = -16*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 8*p**3 - 10*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 1, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2152 (base 13) in base 11?\nAnswer: -352a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-15))\/((-6)\/15) - -4. Let u be 3\/(m\/(-15)*-9). Which is the biggest value? (a) u (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + t\/2 - 5\/3.\nAnswer: (t - 2)*(t + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:56 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1113 and -0.06.\nAnswer: 66.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -209*n + 7938. Calculate u(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10580822 is divided by 64913.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 219*w**4 - 21*w**3 - 21*w + 819. Let d(n) = 22*n**4 - 2*n**3 - 2*n + 82. Let g(i) = -42*d(i) + 4*z(i). Find the first derivative of g(f) wrt f.\nAnswer: -192*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 158*f**3 - 3*f**2 - 2*f. Let x(p) = 315*p**3 - 7*p**2 - 5*p. What is -7*b(o) + 3*x(o)?\nAnswer: -161*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39219*f**3*n + 3*f**3 - 2*f**2*n - 2*f*n - 85*f - 233*n - 8 wrt f?\nAnswer: 235314*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3096004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1881 by -627.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3948*o. Let m(r) = r + 392. What is y(m(a))?\nAnswer: -3948*a - 1547616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b + 18. Let d be w(2). Let f = 54 - d. What is the remainder when 130 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s + 260*s**2 - 8*s - 107*s**2 - 98*s**2 - 93*s**2.\nAnswer: -38*s**2 + 47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -18*a + 23. Solve 5*r + 3 = l, a*l = -3*l + 4*r - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1181 divide 217021741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)*-1*-5. Suppose -9 = -g*f + 16. Let u(a) = -1 - 3*a + 0 + a**2 - 5. What is u(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0)*-4 - 2. Let b(w) = 2*w**3 - 3*w**2 - 5*w + 4. Let j be b(3). Suppose 76*z - j = 72*z. Solve z*o = m*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from {s: 2, r: 6, t: 1, e: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -8. Let s(r) = 30*r**2 + 3*r - 2. Let t be s(c). Suppose -t = -2*d + 63. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -6969201.\nAnswer: -5\/6969201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10367 (base 9) to base 8.\nAnswer: 15321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716369?\nAnswer: 491, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-12))\/((-3)\/8). Let i(y) = 4*y - 1. Let k be i(a). Let f = k - 6. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 16) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10378.6 - -1195240.4. Let n = -1205621.900034 + l. Let d = n - -2.9. Round d to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 81 (b) -0.3 (c) -0.4 (d) 1113 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 69 = 0. Let f = -73 + i. What are the prime factors of (7\/f)\/((-4410)\/(-552) - 8)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 2*o**2 + 2*o + 1. Is x(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13916 and 568?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7223746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 7) to base 4.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 16715*s. Let b(k) = 3*k**2 + 3. What is b(d(j))?\nAnswer: 838173675*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 12. Calculate the remainder when 124 is divided by j(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590489127?\nAnswer: 3, 101, 421, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, -3*t - 3*l = -500 - 127. Let c = t - 206. What is the third biggest value in 31, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4379265 divided by -13\nAnswer: 4379265\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 333431801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 295088, 295012, 294880, 294686, 294424?\n\"Answer: -w**3 - 22*w**2 - 3*w + 295114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*r - 10 = 0, 0 = y - 3*r + 17 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 120. Let j = 88 - d. Let v = j + -16. What is the highest common divisor of 18 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 45. Let k be ((-12)\/56)\/((-1)\/810). Let c = k + -174. What is the closest to d in 0.5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4187 is divided by 246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - 2*l - l)*(-9 + 5 + 17)*(2 - 1 - 2)*(-2 + 2 - l**2).\nAnswer: -143*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3 - 3*k**2 - k**3 + 3 - 1 - 2*k. Let r be q(-3). Suppose r*h - 42 = 28. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 3*g + 3. What is z(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 + 33?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 405*t**2 - 5*t + 4 + 407*t**2 - 811*t**2. What is v(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/((b*(b\/b**(1\/2))\/b)\/b))\/((b*b**(1\/11))\/b**2))\/((b\/b**(-1\/5))\/b**(-1\/2))**11 assuming b is positive.\nAnswer: b**(-1006\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*g + 7, -3*r - 2*g + 7 = -14. Suppose -3*j + 4*n - 94 = r*n, -j + n - 30 = 0. Let b = j + 95. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 60*c - 49. Let z be (-1)\/(-3)*(-94 - (-1 + -6)). What is the lowest common multiple of g(z) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = g. Suppose 4*m - g*m = 154. Calculate the remainder when m is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 8*w**2 - 13*w - 6. Let s be p(-6). Suppose n - 46 - 8 = s. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 547*s**2 - 50328*s - 1280124.\nAnswer: -(s + 54)**2*(s + 439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 1, b: 1, t: 1, a: 6, n: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, 1 r, and 1 o when four letters picked without replacement from {a: 3, d: 1, o: 5, r: 5, p: 2}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863046*0.1.\nAnswer: 86304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118.999336 + 119. What is a rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*q - 116*q + 815371*q**3.\nAnswer: 815371*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 30*(-5 - 24\/(-4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 2138\nAnswer: 252\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 53. Let h(w) = -20*w - 12. Let p(b) = 43*b + 26. Let f(s) = -13*h(s) - 6*p(s). What is f(g(v))?\nAnswer: -2*v**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-33)*k)\/k**(2\/57))**(-26) assuming k is positive.\nAnswer: k**(47476\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 88. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - -3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 358?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*y - 15, 475*h = 477*h + 5*y - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/35 - (-16255)\/35. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 5. Suppose -6*t - 5*k = -2*t - 28, 0 = 5*t - k - 6. Let l(m) be the second derivative of 0 - t*m**2 + 1\/3*m**3 - 5*m. Give -4*g(y) + 5*l(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070518531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*6 + sqrt(65)*-1*-5)\/(sqrt(15)\/((sqrt(3) - (-1*sqrt(3) - sqrt(3)))*-1)).\nAnswer: -33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8100*r**4 + 2900520*r**3 + 259789876*r**2 + 23075248*r + 512656.\nAnswer: 4*(r + 179)**2*(45*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236748433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.242 - 0.302. What is the smallest value in -6, b, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9 = -4*q + 3, -20*o + 372*q - 373*q = 5*o + 124 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 12)*(4*r**2 + 0 + 0).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:01 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = z + 3*h, 0 = 2*z - h - 10. Suppose z*q - 6488542 + 83488542 = 0. Round q to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7094 = y, 4650 = 2*y - 5*q - 9543. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + g - 14, -39*p + 23*p - g = -62 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740 and 1850?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 68437, 136897, 205357, 273817, 342277, 410737?\n\"Answer: 68460*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92 + 92 + 45*d**5 + (d**5 + 3*d**2 - 3*d**2)*(4 - 2 - 1) - 3*d**5 - 13*d**4 - 5*d**2 + 4*d**2 + 10*d**4.\nAnswer: 43*d**5 - 3*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*l + 13 - 6 = 0. What is the least common multiple of 532 and l?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(414\/92*(3\/(-54))\/((-19)\/152))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -33. Let v = d + 115\/2. Let b = 55\/3 + v. Calculate the common denominator of 121\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(((-36)\/(-9))\/48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -5, 26, 4\/3, -2\/223, -3, -12\/5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimcmcmcmcccmcmiimm. What is prob of picking 3 m?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**2 - 28*j**2 + 4*j**2 in the form a*j**2 + p*j + w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 8 in ascending order.\nAnswer: -0.1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-5))\/(3\/15). Suppose -4*o = -r - 2, 0 = -t*o + 3*o + 25. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(-1*sqrt(1872))**2.\nAnswer: 5618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190.6 - -190.6. Which is greater: t or -4384?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3244, -2470, -1180, 626, 2948, 5786?\nAnswer: 9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) + 12\/(-20). Let w = 0.05 + 0.25. Sort t, w, -0.3 in decreasing order.\nAnswer: w, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, 2, 31, 72, 125?\n\"Answer: 6*f**2 - f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a4a + -71?\nAnswer: -1abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1381 divided by 29\nAnswer: 1381\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1831773328.\nAnswer: 2, 7, 11, 1486829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620.6 times 33.93?\nAnswer: 122846.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77605\/9130)\/((-6)\/4 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/383126 and -50\/3.\nAnswer: 1149378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affa. Give prob of sequence aaf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1700) + ((sqrt(1700)*1)**2 + sqrt(1700) - sqrt(1700))*-1 - ((5*(sqrt(2057) + 1))**2 - sqrt(2057))*2.\nAnswer: -104604 - 1068*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16132, -4, -12, -2 in descending order.\nAnswer: 16132, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpfppkpgpgkgp. Give prob of sequence fpp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004409 to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19397 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5 - 5 - 240*d + 6 + 0 - 470*d. What is the hundreds digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 8:33 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000178844928 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -2, -6, -4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424677?\nAnswer: 3, 11, 17, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -7*g**4\/4 - g**2 - g + 4. Let a be p(-1). What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*q + 130*q - 228*q.\nAnswer: -292*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3286*h**2 + 23044*h + 6. Calculate q(-7).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 11*v**2 + 11*v - 2. Let q be m(10). Which is smaller: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - 14) - -14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enllnpoww. Give prob of sequence opl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6931*s - 575272. Give y(83).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-320))\/((-3)\/8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -112102210110 (base 3) in base 7?\nAnswer: -2262312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 376*p**3 + 368*p**2 - 376*p - 372.\nAnswer: 4*(p - 1)*(p + 1)**2*(p + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f**2. Let r(g) = 34*g. Calculate r(o(u)).\nAnswer: 238*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 338838 smaller than 338838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -26. Let d(o) = -o**3 - 7*o**2 + o + 1. Let w be d(-7). Let g = w - r. Let z(n) = 2*n**3 - 4*n**2 + 2*n + 2. Calculate z(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 3044423.\nAnswer: 3044427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0442 * 21.89\nAnswer: -0.967538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 11*n**2 - 23*n**3 - 10*n - 7 - n**2 + 22*n**3. Let k be w(-11). Suppose k*d = 78 + 290. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(500) + sqrt(500) + sqrt(500)*-3)*-3 + -2 + 5))**2.\nAnswer: 4500*sqrt(5) + 112725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u. Let a(m) = -m**2 + 3*m**2 - m**2 - 6*m**2. Give c(a(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8155.146 hours?\nAnswer: 489308.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-3) + ((-6250288)\/(-132) - -46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365*c**2*m**2 + 27*c**2*m + 5022*c*m**2 + 21150*c*m wrt m.\nAnswer: -730*c**2 + 10044*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**3 + 151*k**2 - 126*k**2 - 25*k**2.\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/5 and ((-448)\/192)\/((-2218)\/(-36))?\nAnswer: 5545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5*c + 0*c - c)*(-c - 4 + 4).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1881 and 1242351.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 65 - 120 + 4*s + 62. Let v(i) = -2*i**2. What is j(v(n))?\nAnswer: -8*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*r + 15*r - 13*r to the form s + d*r and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -4, -33, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 489517\/24 + -20400. Let a be 0 + 1\/(12\/18506). Let n = 1529 - a. Calculate the common denominator of l and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 132397*j**2 + 2*j + 30. Let s be f(-13). Let t = 14075097 - s. What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2. Let l(q) = 21 - 6 - 15 + 6*q. Determine l(t(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 21*m + 510. Calculate i(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 13*d**3 + 166*d - 157*d - 2*d**2 + 8. Let a(i) = -6*i**3 + 2*i**2 - 4*i - 4. Give -9*a(v) - 4*k(v).\nAnswer: 2*v**3 + 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*b - 13, 5*b - 2*x = 4*b - 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1036.8794.\nAnswer: -3110.6382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -942, -1888, -2838, -3792, -4750?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*s - 11, -5*s - 5*o = 14 + 16. Let d be 6\/21 - 70698\/s. What is d rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -3, 0, -4, -0.056, 0.5 in ascending order.\nAnswer: -25, -4, -3, -0.056, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 164246660610 rounded to the nearest 1000000?\nAnswer: 164247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1422, 1421, 1420?\n\"Answer: -h + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 2513691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-3 - -4 - (883 - 846))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**3 - 40*f**2 - 52*f + 413. Give x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 15. Suppose 0 = -h*w + 7*w - 126. List the prime factors of 3605\/w + 4\/(-18).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**(-28)*(h*h**0*h)\/(h*h\/(h*h*h**(-1\/4))))**(10\/13))**49 assuming h is positive.\nAnswer: h**(-25725\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13911853*j**5*p**2 + 9*j*p**2 - 1478*j*p + j + 5*p - 1 wrt j?\nAnswer: 278237060*j**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679738887.\nAnswer: 3, 277, 272659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 > -55\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -89.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/(-15) - -3 - (-290)\/25. Let g = -10 - -10.6. Let h = 2.4 + g. Which is the second smallest value? (a) j (b) h (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1705905564 to the nearest integer?\nAnswer: 41303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*z - 3 + 13 - 9 wrt z?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113223437?\nAnswer: 419, 270223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 6:44 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 572.9999 millennia?\nAnswer: 57299.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55978375 to the power of 1\/2, to the nearest integer?\nAnswer: 7482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 291\/(-40) + (-20)\/(-50)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q. Let y(r) = -r**2 - 6*r - 4. Let z be y(-3). Suppose 2*u - 4*t + 7 = 1, 2*u + z*t = 30. Let s(x) = u*x**2 - 3*x**2 - x**2. Give b(s(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -154023 less than -154036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 - 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from ddsdgglsgdl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = -10. Suppose -j - s = -2*j. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396)*-1)\/sqrt(9) + 2)*-2 + (sqrt(132)\/(sqrt(3)*3) - (sqrt(4400) + sqrt(4400) + 3 + sqrt(4400))))**2.\nAnswer: 2324*sqrt(11)\/3 + 303557\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:37 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 631*s**4\/6 + 179*s**3 + 1383*s. What is the second derivative of n(k) wrt k?\nAnswer: 2524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 - 2*c**2 + 7*c**2)*(-1112*c - 38*c - 345*c + 2 - 2) to q*c**3 + v*c + b + p*c**2 and give q.\nAnswer: -4485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*v - 5*n - 159, 0 = -4*n. What is the closest to -0.1 in 3, 4, 0.43, v?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 15.6510764.\nAnswer: 12.6510764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/255)\/((-28)\/35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -7\/4, -3, 0.1, 1\/3, -0.079?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g**(4\/7))**(-29\/4)\/(g**(-2)*g*g**(-6)*(g\/(g*g**(-8)))\/g*g**(-2\/5)) assuming g is positive.\nAnswer: g**(491\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10500 divided by -60.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 737705886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = -o, -5*o + 42 = -r. Suppose 2*a + 0 = o. Suppose 5 = -w - 2*l, -a*w + 5*l = -47 + 15. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5650.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -553\/44 (b) -2.41 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 914 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5\/360 + s**4\/72 - s**3\/12 - 13*s**2 - 27. Let h(x) be the second derivative of z(x). Determine g so that h(g) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/2 - 744*x**3 + x**2\/2 + 744*x = 0 for x.\nAnswer: -1488, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 + 0 = 0. Suppose -3*o + 6 = 5*q, d*q - o - 18 = o. Let k(j) = -26*j**2 + 16*j + 16. Let t(z) = -5*z**2 + 3*z + 3. Determine q*k(p) - 16*t(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**5\/20 + o**4\/12 - o**3\/6 + o**2\/2 + 3*o. Let j be h(1). Solve -2 = j*c - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.76013 millennia in years?\nAnswer: 19760.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 58926?\nAnswer: 235704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 116863.3 rounded to the nearest one hundred?\nAnswer: 116900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.96 - 1.54. Let n = z - -19.7. Which is the third biggest value? (a) -1 (b) n (c) -12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 212608 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -3, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-5) - (-342)\/95) + 1. Let s be 2\/(-21)*q\/(-32). Which is the smallest value? (a) 1 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 4, 19, -452 in descending order.\nAnswer: 19, 4, -23, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1119\/12740 - 9\/260. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k + 34. Give x(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:24 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 14 + 74. What is the units digit of ((81 - -2) + -2)\/(12 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1341 = 6849. Suppose s = 10*t - 7*t. List the prime factors of t.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*((g\/g**(3\/11))\/g)\/g*g**(1\/17)\/g*g*g*g*g**(-6))**(-22) assuming g is positive.\nAnswer: g**(5316\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - d - 11. Let j(o) = -3*o**2 + 2*o + 12. Let k(n) = 5*h(n) + 4*j(n). Let g(a) = 1 + a - 3 - 3 - 1 + 5. Determine 4*g(i) - k(i).\nAnswer: 2*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 2306224?\nAnswer: 2306223.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3488885.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (255\/3)\/(1*(0 + -1)). Let f be 4\/26 - g\/(-130). Let p = 1 + -2. Which is the nearest to 1? (a) p (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -400944 by -4.\nAnswer: 100236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + x + 27 = 0, 68000*x + 31 = -8*z + 67999*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**5 - 8*r**4 - 62512*r**3 - 36*r**2 + 159365 wrt r?\nAnswer: -420*r**2 - 192*r - 375072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 133. What is s(27)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(242) + -1 + sqrt(242))*2)**2 - sqrt(242)).\nAnswer: -7752 + 374*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/2 + 130*g**3\/3 + 282*g**2 + 320*g - 4435. Factor r(u).\nAnswer: 2*(u + 5)*(u + 16)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - -42) + (7 - -1) + (-8 - -9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1. Let n(b) = b - 1. Let y be 1*(-14)\/(-8) - (-66)\/(-88). What is y*r(p) - 2*n(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 63, -3, -5 in descending order.\nAnswer: 63, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 at least 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7155, -7111, -7065, -7017?\n\"Answer: f**2 + 41*f - 7197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 2:57 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23 + -18 + -10 + 3. Put -3, i, 707 in increasing order.\nAnswer: -3, i, 707","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:09 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 37*a**2 - 1. Let q be u(1). Suppose -23*l + 22*l = 0. Suppose l = h + 3*h - q. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9925*v**3 + 4 + 0 - 3847*v**3 - 6.\nAnswer: 6078*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:40 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -4 + (-2)\/(-2). Let f be 3*(2\/5 - u\/75). Suppose -f = x + 3. Which is the nearest to -2\/7? (a) 2\/3 (b) x (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.9593l in millilitres?\nAnswer: 694959.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 372*l - 11. Let f(y) = -4385*y**2 + 8834*y**2 - 4450*y**2. Calculate f(b(h)).\nAnswer: -138384*h**2 + 8184*h - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2359264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*u + 71*u = -1496 - 1463 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1784 = 4*c + 3*z - 1255, -4*c - z + 3029 = 0. Is 36 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*a = -2027*a + 1003*a + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7. Suppose 0 = -3*n + 2*n. Let q = x + n. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.98411 - 0.01589. Let q = 1 + -0.984. What is the closest to 0.1 in q, -0.4, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 23*u**4\/12 - 61*u**3\/2 + 34*u**2 - 2. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*o**2 + 15*o**2 - 27*o**2)*((-3 + 2*o + 3)*(2 - 1 + 1) - 2*o - 2 + 2).\nAnswer: -134*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/47 (b) -4\/25 (c) -230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1877.213 - 1878. Round h to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16 + -5.84. Let n = -541.559062 + 535.55906203. Let l = a - n. Round l to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w - 37 + 86 + 471 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - y = 1, -k - 5*y + 10 = -6. Let q(b) = 29*b + 3 - 3*b + 10*b. Does 4 divide q(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69652379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 463755.\nAnswer: 17\/463755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1771400 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**11*p)*p**(2\/5))\/(p**2)**(1\/6) assuming p is positive.\nAnswer: p**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-33)*-11*8\/200.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + r - 810 = -825, -b - 2*r = 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 3*i - 37 + 1, -s + 2*i = 10 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - (-17 - (-37 - -31) - (4 - -1))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 52*x + 56. Let s be f(4). Calculate the greatest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1228297679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*k**2 + 0 + 20*k**3 + 101*k**2 - 4 + k**3 in the form o + s*k**2 + m*k**3 + w*k and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2644 by -138.\nAnswer: 1322\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 12*g + 22. Let n be j(10). Let o(v) = v**2 + 9*v - 6. Let k be o(-12). Suppose 64 + k = n*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 13*q**2 - 12*q - 19. Suppose d - 8 = 5*z, -4*d - z - 52 = -0*z. Let f be l(d). Sort f, -3, -5 in increasing order.\nAnswer: f, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475949 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127100590 is divided by 452?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*q + 11562 = -13704 - 27846 + 4350 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94.823527 - 0.052473. Let n = u + 95. What is n rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96510?\nAnswer: 2, 3, 5, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**4 + 8*x**4 + 3*x**4 - 16*x**4 - 114*x**4 - 50*x**4 + (-1 + 1 - 1)*(-4*x**4 + 3*x**3 - 3*x**3) to r*x**4 + g*x**2 + y*x**3 + t*x + p and give r.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92126?\nAnswer: 2, 73, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27385 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17909*r + 63311*r + 32375*r.\nAnswer: 77777*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d**(2\/11)*d))\/(d**(2\/25)*d**(-7)\/d) assuming d is positive.\nAnswer: d**(1578\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**3 - 43*w**2 - 960*w wrt w?\nAnswer: 12*w - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 4. Let c = 7 + g. Solve 0 = c*x - 0*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-385)\/42 - -9 - 505\/(-6). What is the greatest common divisor of b and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12624724.\nAnswer: 2, 7, 450883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -131, -0.4, 5 in decreasing order.\nAnswer: 5, -1\/5, -0.4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 936?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(245\/15379) - 3\/(-5). Suppose -4*g - 2*x + 50 = i, 0 = -3*x + 15. What is g rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20945331 - 31099*u - 20945331 in the form v*u + g and give v.\nAnswer: -31099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128853521 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 3. Let a be r(4). Let o be (2 + a)\/1 - -2. Suppose o = -0*d + 3*d. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 1, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3 - -6) + -11. Let p(w) = w**2 + 10*w + 9. Let o be p(n). Let 2\/7*i**3 - 2\/7*i**2 + 0*i + o = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*6\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3\/2 (c) 380481 (d) 5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 - -15 - -3*(1 + 0). Solve 5*o - v = t - 10, -15 = t + 5*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 2*o + 2. Let p = -7 + 20. Calculate the remainder when p is divided by m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 k, and 1 r when four letters picked without replacement from {k: 2, r: 2, w: 6, u: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3140.24012 to the nearest integer.\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 347 = -5*z - 90, -3*z + 167 = 2*b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1186*b**2 - 9*b + 3. What are the prime factors of j(1)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3 + 12110383*x**2 + 65326149*x wrt x?\nAnswer: 12*x + 24220766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 187490 = -187580 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10379 - 65*n**2 + 12*n**2 - 30*n**2 + 10379.\nAnswer: -83*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and 2186.\nAnswer: 8525.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 g when three letters picked without replacement from {e: 2, u: 4, k: 4, r: 1, g: 6}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(54)\/sqrt(2).\nAnswer: -4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/5 + 21*c**5\/40 - 15*c**4\/4 + 23*c**3\/4 - 3*c**2 + 18*c. What is x in u(x) = 0?\nAnswer: -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 692.54 + -713. Let p = 0.04 - h. Let r = 21 - p. Which is the second smallest value? (a) 1\/7 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 3*y**2 + y - 2. Let q be b(-2). Suppose q = -3*t, 0*t = 5*k + t - 31500. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, e: 1}. Give prob of sequence eqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*r - 24, 5*r + 1 + 5 = 2*l. Suppose 0 = c - 8 - l. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -38, -48, -58, -68?\n\"Answer: -10*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/4 - 17*n**3 + 15*n**2 + 1. Let v be r(-16). Sort 19, 5, v.\nAnswer: v, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 0*b**5 + 9*b**4 + 2*b**4 - 16*b**5 - 3*b**4.\nAnswer: -b**3*(4*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664014 and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, u: 6}. Give prob of sequence xuux.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(5\/4)\/r)\/r**4)\/(r*r\/(r**(1\/4)\/r))**46*(r**(-3)*r*r*r*r**10)**(-2\/149) assuming r is positive.\nAnswer: r**(-77709\/596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 953938?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-7)\/j)\/j)**(-26)\/((j*j\/j**(2\/5)*j)\/j**(1\/11)))**(-2\/101) assuming j is positive.\nAnswer: j**(-25464\/5555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46290.842 + -46278.84199936. Let s = -12 + h. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -28, 0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 521*z + 860.\nAnswer: (z - 172)*(3*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 35*n + 12. Let h be k(12). Put h, 2, 5, 3 in descending order.\nAnswer: h, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awddwwaabwaaaawwaw. What is prob of picking 1 b and 2 a?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32015315 (base 6) to base 11.\nAnswer: 589a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*m*w*x + 2*a**2*m*w - 6*a**2*x**2 - 2*a*m*w*x**2 - 8*a*w*x - 5*m*x wrt a.\nAnswer: 2*m*w*x + 4*m*w - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 94 - 3 - (0 + -31 - (-73 + 48))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -4 (c) 2 (d) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111122233223 (base 4) in base 11?\nAnswer: -3195346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -505354*n**3 - 476486.\nAnswer: -1516062*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/3))**(1\/2)*z*z**1*(z**(-7)\/z*z*z*z)\/z*((z\/(z\/(z**(-2)\/z))*z)**22)**(2\/63) assuming z is positive.\nAnswer: z**(-575\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.992 + -0.008. Let s = 31.0000013 + x. Round s to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 86*c + 25. Let b(k) = -112*k - 827. Let f be b(-7). What is g(f)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 0*z**4 - 6*z**4 + (-2*z**2 - 4*z**2 + 2*z**2)*(-z**2 + 4*z**2 - 4*z**2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -13. Solve -5*d - 21 = -4*w, -4*d = -3*w + 2*w + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n)\/(n*n*n\/n**(3\/13)))\/(n**(-1\/2)*(n\/(n\/((n\/(n\/(n**(-9\/5)*n)))\/n)))\/n) assuming n is positive.\nAnswer: n**(849\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5764 - 105*w + 11536 - 5769 - 10*w**2.\nAnswer: -10*w**2 - 105*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8812 + 343.0028. Let g = s - 347.82400011. Let z = -0.06 + g. What is z rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 594 = 70*h + 37*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 844504 - -10733?\nAnswer: 855237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 3*o + 3*o)*((-o**2 - 3 + 3)*(o + o + 0*o) - 4*o**2 - 2*o**3 + 4*o**2 + (-5 + 3 - 6)*(2*o**3 + 8*o**3 - 5*o**3) - o**3 + 4*o**3 - o**3).\nAnswer: 42*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from fcgcnfcnfggmnccgaffg.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 203\/(-14) - (-15)\/6. Let z be (s\/6)\/1 - 1. Which is smaller: z or -19\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266 + 265. Let k be ((-2)\/(-6))\/((-5)\/(-3)). Let s = 8 + -6. What is the third biggest value in s, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 104*b - 3. Let c(m) be the first derivative of -2*m**3\/3 + 2142. Determine u(c(x)).\nAnswer: -208*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-889*y**3 - 694*y**3 + 2544*y**3)*(0*y + y - 4*y).\nAnswer: -2883*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1873?\nAnswer: 5\/1873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.743 minus -3?\nAnswer: 5.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:20 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.680261 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14706*v**2 - 31323 with respect to v.\nAnswer: -29412*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -6, 314, 8 in descending order.\nAnswer: 314, 8, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.154404ns?\nAnswer: 0.0000000000525734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 - -270. Suppose 4*n - 2*n + 3*z = -6, f*z = -2*n - 10. What is the greatest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) - (sqrt(30) + (sqrt(180)*2)\/sqrt(6)))) + -2*sqrt(90)\/sqrt(3))\/((sqrt(6) - sqrt(192)\/sqrt(2)) + sqrt(864)*-2).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3409 divided by -610.\nAnswer: 3409\/610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -705, -1587, -2823, -4413, -6357?\nAnswer: -8655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-9))\/(u*u**(-8)))**(-19\/4)*(u*u**(-3\/2)*u*u\/((u**3*u)\/u))\/(u**(-1\/9)*u*u*(u**(1\/10)*u)\/u) assuming u is positive.\nAnswer: u**(-15163\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:07 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -567*i**2 - i + 269 wrt i.\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1755.117 centuries to millennia.\nAnswer: 175.5117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 9:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11000100000100010110 (base 2) to base 6\nAnswer: 25114010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 15*h + 10*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1816 from -254827.\nAnswer: -256643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*2)*5) + sqrt(77))\/(-3*sqrt(11)*-2) - (sqrt(1575) + 3*sqrt(567)).\nAnswer: -265*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974\/15*(-32495)\/(-45493).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10 + 7*a**2 - 7 - a**3 - 2*a + 0 - 9*a**2. Let j(m) = -m**2 - m + 1. Let b(t) = 2*j(t) - u(t). Calculate b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -155833514011408?\nAnswer: -155833514011408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hljllhhhhmmhyh. What is prob of sequence hhm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6187b1 + 4?\nAnswer: 6187b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 727717.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 3*y**2 + y**2)*(-224*y + 105*y + 111*y - 10) to the form x + z*y**3 + i*y**2 + h*y and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1415, -2819, -4223, -5633, -7055, -8495, -9959?\n\"Answer: -n**3 + 6*n**2 - 1415*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4521376 by 4936.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -6)*(-3)\/4. Suppose 0 = -5*q + i + 7. Solve 0*u - q*u + 11 = x, -4*x - 5*u + 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1445548950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53123.81km to micrometers.\nAnswer: 53123810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141234678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*a = -353*a - 120 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 21691761.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 36*t - 150. Let n be 2 + (-2 - -9 - (-8 + 13)). Let h be d(n). Which is the third biggest value? (a) h (b) -1\/4 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -0.1 (b) -21.9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 5. Suppose 3*s - 2 = 7. Suppose 3*u - s*t - 4 = 8, 2*u + 4*t + 16 = 0. Let v be b(u). Is v greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/21 + w**3\/6 + w**2\/7 + w. Solve n(b) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1589626, -3179256, -4768886, -6358516, -7948146?\n\"Answer: -1589630*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c**2 - 7*c**2 + 19*c - 19*c to m*c + v*c**2 + j and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*-6)\/(sqrt(252)*3)*3.\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306.959 + -0.041. Let o = -310 - z. Sort 0, o, 2\/621, -4 in descending order.\nAnswer: 2\/621, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtt when three letters picked without replacement from tottotttttmtttttt?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*l - 20 = 0, c + 16 = -0*l + 5*l. Let o be (c + 2)*7\/(-4). Which is smaller: o or 42\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345365346*w**3 + 414900051 wrt w?\nAnswer: -1036096038*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1237*d + 124 with respect to d.\nAnswer: -1237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(3)*6)\/((sqrt(120)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 330\/17, 0.3, 5888?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704*q = 2728*q - 144 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6825.883 and 2.5.\nAnswer: 17064.7075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 - -264.29. Let g = s - 95.29. Let l = g + 86.6. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -4\/7*r**7 + 0 + 7\/6*r**4 + 2\/3*r**3 - 16\/15*r**6 + 0*r**2 + 1\/10*r**5 + 2*r. Find f such that x(f) = 0.\nAnswer: -1, -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 8) in base 9?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238472774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*1 + -5)*-5 + (sqrt(176) + sqrt(176)*2)*-5 + -4 + -1)**2.\nAnswer: -3200*sqrt(11) + 70800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -4.4539097525959.\nAnswer: -0.4539097525959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x - 13 + 0*x - 17. Let i be v(7). Let a(g) be the second derivative of g**4\/12 - g**3\/2 - 5*g**2\/2 + 4*g. Calculate a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**2 - 8*t + 8. Let o(f) = -f + 1. Let q(k) = 7*k + 34. Let w be q(-5). Determine w*d(z) + 8*o(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.02, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4)\/12*0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/15 + 1)*15\/8. Let s be 2\/7 - 300\/3500. Which is the fourth smallest value? (a) s (b) o (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -3*(2 + sqrt(63)) + 3 - (4*(sqrt(189) - (sqrt(189) - 1*sqrt(189))))\/(-2*sqrt(12)))*4)**2.\nAnswer: 768*sqrt(7) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641125 + 4.\nAnswer: -641121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1137, 1\/7, 4\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/916 + 3699\/6412. Sort y, -3, -2.02 in descending order.\nAnswer: y, -2.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.3883 millimeters in kilometers?\nAnswer: 0.0006133883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 777, 769, 729, 645, 505, 297?\n\"Answer: -2*y**3 - 4*y**2 + 18*y + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 22, 78, 5 in increasing order.\nAnswer: 0.1, 5, 22, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 + 127*i - 12. Let r(j) = 13*j**2 - 190*j + 19. What is -8*f(v) - 5*r(v)?\nAnswer: -v**2 - 66*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/13 + (-2)\/13. Suppose q = -2*y - 2*y + 4*u + 56, -2*y + 4*u + 28 = 0. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 5*l**3 + l**3)*(-7 + 7 - l) + (-l**2 + 4*l**2 - 4*l**2)*(-3*l**2 - 5*l**2 + 5*l**2).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 226057149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434223 is divided by 372?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12233567916 and -1.1.\nAnswer: -1.22233567916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 - 2*b - 4*b**2 - 6*b**4 + 4*b**4 - 6*b**3 in the form r*b**2 + g + a*b + s*b**4 + w*b**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*i**3 + i**2 + 6*i**3 + 3*i + 0*i**3 to the form u*i + s + v*i**2 + b*i**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + s + 23)*(-1 + 2 + 2) - 6 + 6 - 40*s - s + 4 - 4 + (0*s - 5*s + 3*s)*(-4 + 4 - 2) + 4*s + 2*s - 4*s + 2*s - 3*s + 3*s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40260521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.032 to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8283\/(-502))\/(3\/4*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5701569*c**2 - 12591704 wrt c?\nAnswer: 11403138*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3864, 7937, 12226, 16731, 21452, 26389?\nAnswer: 31542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))\/(t**(-3\/5)\/t*t))**(1\/46) assuming t is positive.\nAnswer: t**(11\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 33*j = -34*j - 13, 3*h + 36 = -9*h + 2*h - 2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + t - 3)*(27 + 74 + 368) - 2*t + 4*t - 3*t)*(-3*t + 0*t + 4*t).\nAnswer: 468*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -7*f - 1274 + 1412. Solve 0 = 15*o - f + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z. Let h be -3 + (-4)\/(-2) + 106. Suppose 4*t = -7 - 1, 0 = m - t - h. Let f(k) = -103 + m - k**2. Calculate f(w(j)).\nAnswer: -225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.600539km in nanometers?\nAnswer: 2600539000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1771)\/49)\/11 - -3*1. Let b = -17.4 - -15. Let c = b + 2. What is the nearest to h in -0.5, c, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8819124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 22*x + 24. Let u be y(10). What are the prime factors of 4 - (u - 4 - 169)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 71 + 3*l + 66 - 142. Let j be u(2). What is the nearest to j in 5\/3, -0.2, 0.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 12*j - 37. Let o be -14 + -2 + (-1 + 18 - 14). What is l(o)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.8 + -10. Let x = a - -0.2. Which is bigger: 8 or x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382931 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 32374623?\nAnswer: -32374619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*i + 8, 36*p - 37*p - 24*i = 94 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhbbbzibhbbbfiib. Give prob of sequence hh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 2\/(-8). Let x = -20464 - -20459. Let d be -4 + 3 - (-6)\/(-2). Put d, y, x, 4 in descending order.\nAnswer: 4, y, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(110)*4 - sqrt(110)) + sqrt(110) - sqrt(110) - sqrt(110))*-6)\/(-2*sqrt(90) + sqrt(100)\/sqrt(40))*6*2.\nAnswer: 288*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18660*g**2 - 8652*g?\nAnswer: 37320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151843489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -561*f**6 - 8*f**3 + 6*f**2 + 221*f - 7 wrt f.\nAnswer: -67320*f**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160352470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152222*c**2 - 111*c + 111*c.\nAnswer: -152222*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33983876.\nAnswer: 2, 8495969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 30 + 18. What is the greatest common divisor of u and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 43 = 5*x, 3*x + 2*x + c - 51 = 0. Let j be 4\/(-3)*(2 - 7\/2). Suppose j*o = 9 + 3. What is the least common multiple of o and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 + 10*t - 6. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -7 - (-18 - 9). Suppose 20*i - b*i + 622 = 0. Let g = 980 - i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 2*f**2 - f + 2. Let c be q(-3). Let w = -1 + c. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.1159 (c) -5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73152166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4256861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + -46.9. Let r = v - -38. Which is the nearest to 0? (a) -3 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + q**2 - 3*q**2 + (-q**2 + q**2 + 2*q**2)*(1 + 0 + 1) + 2*q**2 + q**2 - 2*q**2 in the form g + b*q**2 + z*q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2414, -9664, -21748, -38666?\n\"Answer: -2417*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 13*n**2 - 11*n**2 - 3*n**3 + (3 - 3 - n)*(0*n**2 + 0*n**2 - n**2).\nAnswer: 2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*z - 2 + 19*z - 3*z**2 - 18*z**4 + 23*z**4 as g + d*z**4 + m*z**2 + q*z + j*z**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55964787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + i - 12, p = 2*i - 0*i - 2. Suppose 3*x + 29*x = 64. Let n(b) = -3*b**x - 3*b**p - 13*b**2. Let c(a) = 2*a**2. Determine n(c(f)).\nAnswer: -76*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -16\/76519?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9780*t - 1025. Let n(z) = 1349*z + 141. What is -11*b(h) - 80*n(h)?\nAnswer: -340*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrjs when four letters picked without replacement from {w: 4, j: 1, g: 3, r: 2, s: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 26943*z - z**2 + 3*z**2 + 0*z**2.\nAnswer: 5*z**2 - 26943*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33416813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*((-3*(sqrt(5) + sqrt(5)*-5*1))**2 - ((sqrt(735)*-1)\/sqrt(3))**2).\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 504?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyacaaapaafaacaacaa. What is prob of picking 1 f and 1 p?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = 3*l, 2*p + 2*l - 33 = -7. Calculate the highest common divisor of 7205 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31878 and 14094906.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 11*b + 12. Let j(z) = -2*z**2 - 5*z - 5. Let c(v) = -5*v**2 - 14*v - 14. Give b*c(u) + 8*j(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(11) + 1 + -4 - ((sqrt(99) - sqrt(99)*1)\/sqrt(9) + sqrt(99)\/(sqrt(9)*2)).\nAnswer: -7 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5\/2*z**2 - 2*z - 1\/3*z**3 + 2. Let m be o(-4). Solve f - 8 = -3*k, -2*k - k + 7 = m*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-35)*(-20)\/(-6). Let s = c + -13. What is the units digit of (s\/6)\/(18\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, 9\/4, 35\/12, -3, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/((-23)\/276). Sort 0, x, 1.\nAnswer: 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 343, 539, 735, 931, 1127?\n\"Answer: 196*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -391, -345, -299, -253?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -5.1. Let v = -0.8 - -2.8. Let j = o + v. Put -5, j, 1 in descending order.\nAnswer: 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17869860.77 + -0.192?\nAnswer: 17869860.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(243) + (sqrt(243) + (sqrt(243) - -2*sqrt(243)) - sqrt(243)) + -1 + sqrt(243))**2 - (-1 + sqrt(243) + -3)) + 1).\nAnswer: -297*sqrt(3) + 18243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 10. Let r be a(0). Calculate the greatest common factor of r and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**2 + 23*c**2 - 76*c**2 + 24*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4577019.00286 and 614?\nAnswer: 4576405.00286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012406701 rounded to six decimal places?\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-37)*z**(3\/5) assuming z is positive.\nAnswer: z**(193\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 19. Put 5, 3\/5, t in descending order.\nAnswer: 5, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in -1, 79\/31, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6433458 is divided by 420?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2743 or -2733?\nAnswer: -2733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12870414 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -8 + 19. Let o(j) = -j**2 - 12*j - 10. Let z be o(p). Let a be 3 + -2 + 0 - 1. Solve -y - 3*w - 7 = a, 4 + z = -3*y - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -211*u**6\/15 + 266*u**5\/15 - u**4\/24 + 318*u**2. Find the third derivative of i(x) wrt x.\nAnswer: -10128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.076345 kilometers?\nAnswer: 8076345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*z - 9*z + 30, 5*c + 2*z = 24. Solve c*d + 17 = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*z + 1082605 + 608585 = -59*z. What are the prime factors of z?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (1 + -43) - (-33 + -22 + 63)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23\/3, 28, 1\/4, -9\/7, -0.1, -2\/9?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33368\/161 + 579\/23. Suppose 0 = -11*m - 1563 - 1000. Let o = d + m. Which is the third biggest value? (a) o (b) 2\/15 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 989637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/(-52))\/(-9) + 19 + -20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3842 and 1130?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 27 = 5*f, -4*a - 18 = -2*f - 0*f. Let u = -295 - -297. Determine g, given that u*g**2 + g**3 + 6*g - f*g + 0*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138 or -130?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -0.3, -2\/65, 1, 1\/2.\nAnswer: -0.3, -2\/65, 0.3, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s**2 - 54 + 9*s**2 - s + 37 + 4*s. What is the units digit of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 4 + sqrt(17) - (3 + sqrt(17)*2).\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19302 - 0?\nAnswer: -19302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - -2*sqrt(76))*-6)\/(sqrt(16) - (sqrt(16) - 4*sqrt(16)))*-3)**2.\nAnswer: 49419\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((3\/15)\/((-3)\/(-15)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -6*k + 4*l, 5*k - 3*l = 150 - 122 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114340007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**7\/30 - 5*d**4\/24 - 15*d**2\/2 + 16. Let v(o) be the second derivative of h(o). Find the second derivative of v(x) wrt x.\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1162 and 442.\nAnswer: -513604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1099049\/148 - 7426. Calculate the common denominator of i and 85\/294.\nAnswer: 21756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)*6 + sqrt(216)\/(sqrt(9)*-2 - sqrt(9) - sqrt(9)))\/(sqrt(48) + sqrt(480)\/(3*sqrt(10)) + sqrt(48)).\nAnswer: -21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r. Let y = -5234 + 5237. Let i(l) be the second derivative of 0*l**2 + 0*l**y - 14*l + 0 + 1\/12*l**4. What is i(k(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 5*j**9\/6048 - j**8\/336 + j**7\/336 - 30*j**3 + 173*j. Let s(z) be the second derivative of a(z). Solve s(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -10035\nAnswer: 11\/10035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -6\/5, 3, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*h + 20*h - 5*h + 0*h - h - h + (-2*h + 2*h - h)*(-4 + 3 + 0) + h - 6*h + 3*h + 0*h - 2*h + h + h + 4 - 4 to the form f*h + m and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 5. Suppose k - 2*q - 277 = 0, 0 = -3*q + 5 - 20. Suppose g*l + k + 183 = 0. Round l to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 - 35*n**2 - 40*n**2 - 890*n + 2607*n - 821*n - 897*n.\nAnswer: -55*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 1224.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2\/9 (c) -94357 (d) 3\/5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let d(a) = -7*a**2 - 10439*a. Give d(p(y)).\nAnswer: -7*y**2 + 10439*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146016 and 6703554.\nAnswer: 965311776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**8\/504 + 5*a**7\/63 + 83*a**6\/60 + 247*a**5\/18 + 1525*a**4\/18 + 1000*a**3\/3 + 65*a**2 - 14. Factor m(h).\nAnswer: 2*(h + 4)*(h + 5)**3*(h + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 - 338. Let a = m - 40. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*s = -3*s + 25, -5 = -g - 5*s. Let m = 33 + -32. Put -27, m, g in descending order.\nAnswer: g, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = 3*t - 4*t, 3*q + 4*t = -10. Suppose i - 2 = -5*o - 0, 0 = -o - i + q. Solve o = -2*w + w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 513*f - 2585*f + 867*f + 31*f. Let g(v) = -3*v. Determine m(g(n)).\nAnswer: 3522*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-15)*(-2)\/10*960\/(-288)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77d + -1?\nAnswer: -77e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22707 - 15394. Calculate the highest common divisor of x and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3113 + -3108. What is the fifth biggest value in -1\/13, h, 0.2, -2\/11, 0.12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1 = 5*j, j = t + t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*g + 2322 = -17*g - 2683 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:25 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 201*h**2 + 107333*h - 524. Calculate y(-534).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -546.\nAnswer: -1\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.78952 to 2 decimal places.\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 18. Let x(g) = 37*g + 263. Let d be x(c). Solve 0 = 6*v + 22 - d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s**4*y**3 + 2*s**3 + 47*s*y**3 - 260*y**3 wrt s?\nAnswer: 4*s**3*y**3 + 6*s**2 + 47*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*u**3*w**2 + 41*u**3 - 12*u**2*w**5 + 10*w wrt w?\nAnswer: -118*u**3 - 240*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 28 + 22 = -71 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -16 - 10 + 1712*u - 888*u - 2*u**2 - 861*u. Determine v(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610899*l**2 - 7*l + 77722 wrt l?\nAnswer: -1221798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-4) - -20) + (-49)\/7. Solve -4*p + 12*x - n*x = 16, 7 = 2*p + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1899744 grams to nanograms.\nAnswer: 189974400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26850?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30 and 2\/16 - (-1 + 159\/144).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5300, 2, 16, 0, -5 in increasing order.\nAnswer: -5300, -5, 0, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 18 = 9*m - 5*m, 5*m = -5*o - 45. Let v(w) = -w**2 - 9*w - 14. Calculate v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - w**2 - 10*w**2 - 11*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-5)\/(-20))\/(378\/(-288))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nxnnnxnn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 7*h + 6. Let w(m) = 4*m**2 + 8*m - 5. Let y(k) = 3*f(k) + 2*w(k). Let i be y(-5). Let a(t) = -t**2 + 7*t + 10. Calculate a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18410 divided by 9205?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = -10. Put k, 3, -3 in descending order.\nAnswer: 3, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/224 and -55\/366408112?\nAnswer: 732816224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:25 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = b - 20, -2*c - b + 42 = -0*b. Suppose c = 2*v - 2*x, v + v + 4*x = 16. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 1, y: 4, d: 4}. Give prob of sequence yd.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*r + 6*h**3*w - h**2*r**2*w - h*r + 2*h*w + 13*r**2*w wrt h?\nAnswer: 24*h*r + 36*h*w - 2*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000011100110001000100 (base 2) in base 3?\nAnswer: -1011210100122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let z(v) = -5*v + 3. Let l(k) = 19*k - 13. Let q(u) = 2*l(u) + 9*z(u). What is 5*d(c) - q(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86500086\/1099 - -78708. What is the third biggest value in -2, -4, b, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 13876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 + 608*g**2\/11.\nAnswer: 2*g**2*(g + 304)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3 + 282*i**2 + 567*i + 284 = 0. What is i?\nAnswer: -1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 4*v + 217. Suppose -26*u - 2005 = -v*u. Suppose o - 5*i = 97, 0*i = 5*o - 4*i - u. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*-3*(-1)\/6. Is m\/(-21) - 1866\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2035, -8269, -18655, -33187, -51859, -74665, -101599?\nAnswer: -132655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/30800 and 17\/99?\nAnswer: 277200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - 5*s, 2*a - 14 + 10 = -s. Solve 0 = a*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2443 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 11*s - 15. Let p be d(7). Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + (1 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + ((9 - 7) + 11 + -12 - (-2 + -5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -436*f**4 + 702416*f**3 - 283972860*f**2 + 858536928*f - 38784960 = 0. What is f?\nAnswer: 5\/109, 3, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**3 - 2*m**2 + m. Suppose 0 = -2*q + 6*q - 12. Suppose -z + q = a, -a - 3 = -4*z - 16. Suppose -a = -4*h - h. What is b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3739464 is divided by 934836?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/g**(-1\/64)*(g**21*g)\/g assuming g is positive.\nAnswer: g**(1537\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316 or 388?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:20 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907135*j**2 + 2721445*j - 120 = 0. Calculate j.\nAnswer: 8\/181427, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8 - 12*h**2 + 10*h**2 - 227*h + 8*h**2 + 216*h. Let k be (11*2)\/((-2)\/(-1)). Let a(q) = 2*q**2 - 4*q + 3. Calculate k*a(j) - 4*g(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*j + 45 = 0, -21 = -4*y - 2*j + j. Let g(p) be the first derivative of -11 - 3*p**2 + 10\/3*p**3 - y*p. What is n in g(n) = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -621?\nAnswer: 61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**2 + 148*a - 13. Let b(t) = -9*t**2 + 99*t - 6. Let o(c) = 7*b(c) - 5*n(c). What is m in o(m) = 0?\nAnswer: 1\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 2, o: 2, j: 1, g: 1, h: 1}. Give prob of picking 1 q, 1 g, 1 h, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 79 = -91. Calculate the highest common factor of r and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let y be h(2). Suppose 0 = y*i - i. Suppose 3*m + 3 - 9 = i. Solve -m*k - 6 = 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-270))\/((-14)\/(-106761)). Let b = o - -1800\/7. Find the common denominator of b and 5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = -2*g + 3, 4*q + 23 = 5*g. Suppose 4*k + 6 - 2 = -4*y, 0 = -5*k - y + g. Solve -k = 5*i - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}