diff --git "a/data/dm_maths/full_data_2/10874_11255.jsonl" "b/data/dm_maths/full_data_2/10874_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10874_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(d) = d - 6. Let j be w(9). Suppose 3*n = j*z - 2*n + 259, 5*z + 411 = -2*n. Let p be (z - -9)*1\/(-2). Solve 4*u - 31 = 3*r - 0*u, 5*r + p = 3*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777307 is divided by 155457.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmee when four letters picked without replacement from eeemeemeee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 28*u**2 + 77*u + 40. Calculate t(5).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 7}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*g + 166*g - 12. Solve 0 = g*v + 73 - 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5521?\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 66*c**2 - 55*c - 183. Is n(41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j - 43*j = 10592. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/2 - r. Let a(t) be the first derivative of t**3\/3 - 33. Calculate a(k(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -3. Let t(z) = -24*z - 1. Let k(q) = -8*q. Let b(g) = -8*k(g) + 3*t(g). Is b(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 685982538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = 45*t + 1216. Sort 2, t, 5 in increasing order.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by -5.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -16330?\nAnswer: -16333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 + 425 + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 29*g**2 + 312*g - 68. Give u(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - (24 + (-23 - 28))) + (1 - 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -2*q + 4*y, q + 29*y - 25*y + 49 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 21*v + 335. Give s(68).\nAnswer: -2861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66549 - 5437. Find the first derivative of p - 61041 + 39*l**4 + 28*l**4 wrt l.\nAnswer: 268*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:52 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6362 - 6362 + 5*v**2 + 0*v**2 - 4*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.035 - -7.865. What is u rounded to one decimal place?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 400*d - 208. Give s(5).\nAnswer: 1792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**3\/5 - 252*f**2\/5 - 513*f\/5 - 258\/5 = 0.\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -11, 2, -3, -29 in ascending order.\nAnswer: -29, -11, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986b (base 13) to base 11.\nAnswer: 14a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 6 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/10))\/p**(12\/13) assuming p is positive.\nAnswer: p**(-29\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 6*s + 4. Let i be v(6). Suppose -i*f - 2*h = -346, 3*h - 61 - 206 = -3*f. What is the units digit of ((-3)\/(-4))\/(7\/f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrarxxrxrxxxa. What is prob of sequence xrxr?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90961 is divided by 7572?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 2, d: 7, q: 1}. Give prob of sequence qii.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1021839*a*k**3 + 3*a*k**2 + a*k - 53*a + 3*k**3 + k**2 + 144*k + 13 wrt k?\nAnswer: -6131034*a*k + 6*a + 18*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-6)\/24*-10 - 4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p - 59. Let r be k(-7). Let j(y) = -1 - 17*y + 18*y + r. Determine j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581380?\nAnswer: 2, 5, 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54579309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from cccccccccckcccckcc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Suppose -f*q - 355 = 401. Calculate the common denominator of (0 + 4)\/(q\/(-369)) and 145\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(7\/(-14)). Suppose -5*g - 9 = -k*f + 11, -23 = -5*f - 2*g. Suppose -4*b - 61 = -3*o - f*b, 0 = -3*b - 15. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9266 + -6267. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2871704641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let p(b) = 2544025*b - 2541428*b + 1 - 4. Give p(s(v)).\nAnswer: 2597*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -5)*(10 + (-2 - -3)). Is 38 a factor of (-3676)\/k + (-6)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749735 divided by 3?\nAnswer: 583245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:02 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (0 + -6*1*sqrt(605) + sqrt(605))**2 + ((sqrt(605) - ((sqrt(605) + 0 + sqrt(605))*6 + sqrt(605) + sqrt(605))) + -1*sqrt(605)*-2)**2*5).\nAnswer: -381149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = q, -5*r - 7 = -3*q + 8. Let z(k) = 8*k. Let a(u) = -7*u - 1. Let b(o) = -7*a(o) - 6*z(o). What is the units digit of b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 56360711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -724 + 934. What are the prime factors of t?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901316 is divided by 1856.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55423037?\nAnswer: 691, 80207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 65\/2. Let q = -0.0085 + 0.5085. What is the closest to b in -1\/5, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 10 - 5)*(-v**2 + 3*v**2 + v**2 - v**4).\nAnswer: -11*v**4 + 33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 >= 1256.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(175))**2*4 - (sqrt(567) + -2 + sqrt(567) + 2 + -5)**2.\nAnswer: -1577 + 260*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154*w = -2073*w - 1539 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286718021.\nAnswer: 8467, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exnn when four letters picked without replacement from {e: 2, n: 5, x: 2, k: 1, p: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12777531 rounded to 4 dps?\nAnswer: -0.1278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 70 = -5*z, q + q = 4*z + 62. Let b be -2*(-148 - -2)*-2. Let k = b + 6461\/11. Calculate the common denominator of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55004 divided by 12.\nAnswer: 13751\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1840 divided by -460\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -230*a + 496. Give w(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*s = 45*s - 204*s + 2156 - 23856 for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/38 and 21\/6358606?\nAnswer: 120813514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v - 4. Suppose 4*k + 18 = 2. Is 4 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, r: 1, e: 1, k: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710881, 710866, 710837, 710788, 710713?\nAnswer: 710606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4099829 - 0.09\nAnswer: -0.4999829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n. Let x(z) = -2*z - 14. Determine x(h(m)).\nAnswer: -32*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6*-13*30. Let h be 3\/18 + m\/12. Suppose 2 + 3 = 5*p. Calculate the greatest common factor of h and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176617840 or -176617842?\nAnswer: -176617842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -4. Let j = 105728 - 105728.11. Is j less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*l = 3*l - 40, -3*a + 4*l - 5 = 0. Let g(i) = -2*i + 8. Let z be g(2). What is the tens digit of (a + 3)\/(z\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/21 and 79\/198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let v(x) = -6519*x. Calculate v(y(o)).\nAnswer: -6519*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -947*b**2 - 28*b + 1509. Let g(y) = -315*y**2 - 8*y + 503. Let j(u) = -7*g(u) + 2*r(u). Differentiate j(x) with respect to x.\nAnswer: 622*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1755412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-84) - 158\/36 - -4. Let l(x) = -x**2 + 2. Let n be l(0). What is the closest to 1 in 12, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**3\/3 - 4*o**2 + 5*o - 151. Suppose 0 = -3*l + l + 5*j + 13, j = -l - 11. What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**2 + 355*v - 179. What is o(35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + 5. Let o = -14 + b. Solve 4*x + 4 = o*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1)*9*(-1)\/(-48).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + -5.85. Let g = 64 - 65. Let r = -0.148 + 1.148. Which is the closest to g? (a) -0.3 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26715, -53446, -80177, -106908?\n\"Answer: -26731*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2759*m**2 + 14254*m - 6. What is a(5)?\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18128 - 18127. Do j and 284\/127 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 2*f, 2*x + 33*f - 37*f = 16. Let v(r) be the first derivative of 0*r + 4*r**2 - 11\/3*r**3 - x. Find the second derivative of v(d) wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 - 2. Let r(w) = -6*w. Calculate d(r(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, 11127408 in descending order.\nAnswer: 11127408, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let k(x) = -x**2 + 4*x - 1. Let y be k(4). Let t(j) = -9 - 5*j - 5*j + 3. Let c(g) = g + 1. Let h(w) = y*t(w) - 6*c(w). Calculate s(h(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 - 1343882759.\nAnswer: -1343882625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than -2404316961?\nAnswer: -2404316961.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-225) + (-4)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**(10\/3)*z\/(z**3*z)*z**(-1\/17) assuming z is positive.\nAnswer: z**(-1064\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1489*k**4 - 20*k**2 - 21786 wrt k.\nAnswer: 5956*k**3 - 40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90053 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 33*g - 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*y**3*z**2 + 175*y**3*z + 5606*y**3 - y**2*z - 6*y*z**2 - 29164*z**2 wrt z?\nAnswer: -44*y**3 - 12*y - 58328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70928*v**4 + 1478*v**3 + 34912535*v?\nAnswer: 851136*v**2 + 8868*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:47 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407024730?\nAnswer: 2, 3, 5, 7, 31, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4012)\/(-14) + ((-1140)\/84 - -13). Let z = 198 - 94. Calculate the greatest common divisor of z and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11637*v + 45284 = -385334 - 290876 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 6. Let i be r(3). Suppose -2*l = -8*l + 21119988. Let f be i\/12 - l\/8. Round f to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318214944 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))\/(k\/(k*(k\/k**(-9))\/k)))**(11\/5)\/((k\/(k**1*k)*k)**(2\/21))**49 assuming k is positive.\nAnswer: k**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from zgzzczzcccczcz.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 26*u + 24*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 7 (c) 0.08 (d) -50 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*(-36)\/54 - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 5)*(2*g - 2 + g**4 - 2*g) + (2*g**3 - 2*g**3 - g**3)*(13 - 13 + g))*(-8 - 3*g + 8).\nAnswer: -3*g**5 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1329 + 868. Let a = t + 461. Does -5\/17 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 47*w + 558. Let p be r(18). Let m be -1 + (-3 - -6) - -10. Calculate the greatest common factor of p and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-4)*(-2)\/(-30)*(-36)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/543976 and 26\/339985.\nAnswer: 2719880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u + 289. Calculate b(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 245 + -243. Sort 2\/7, -0.11, m in ascending order.\nAnswer: -0.11, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + sqrt(76) + 1*sqrt(76)*-4 + sqrt(76))*4)\/((5*((sqrt(64) - -1*sqrt(64)) + sqrt(64)) + sqrt(64) - sqrt(64)) + sqrt(64)))**2.\nAnswer: 19\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -19. Let u = 2.8663 - -0.1337. What is the fourth biggest value in u, -3, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3042927um?\nAnswer: 0.0000003042927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 + -0.71. Let d = p + 0.51. Round d to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6631, 13272, 19929, 26602, 33291?\nAnswer: 39996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052549 rounded to 5 dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {z: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8*f = 0, -2*f = 2*w - 4. Solve x + 6 - w = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6374 - 6369. Suppose 2 = -3*i + 4*i. Let u(x) = 17*x**2 - 5*x - 5. Let k(o) = -9*o**2 + 2*o + 2. What is f*k(m) + i*u(m)?\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -5, 1\/6, 3\/8, -751, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -16, -27, -54, -103?\n\"Answer: -v**3 + v**2 + 3*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118964\/17 + 6998. Put -311, b, 0.2 in increasing order.\nAnswer: -311, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**5 + 3*s**4 + 3*s**2 + 5*s - 3. Let w(i) = i**2 + i. Let q(z) = t(z) - 3*w(z). Find the second derivative of q(x) wrt x.\nAnswer: 60*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90709539?\nAnswer: 3, 23, 811, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17725.114 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1\/7, -1\/34, 49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -741 and -58.\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085 (base 9) to base 6.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -21*n**2 + 7*n + 14. Let h(x) = 36*x**2 - 11*x - 29. What is -3*h(t) - 5*y(t)?\nAnswer: -3*t**2 - 2*t + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/4))**(6\/11)*(z**(-1\/3))**29 assuming z is positive.\nAnswer: z**(-593\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 153. What is the remainder when 77 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.431607476743 from -9.\nAnswer: -9.431607476743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44236 is divided by 3646.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 99, 127, 133, 111, 55, -41, -183?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526031.5 millennia in decades?\nAnswer: 52603150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1076\/7 (b) 4 (c) 1\/19 (d) 1\/3 (e) -5 (f) 84 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dudd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 45*i**2 + 47*i + 143. Give l(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let t(p) be the third derivative of -1\/20*p**5 + 1\/120*p**6 + 0*p**3 + 1\/12*p**4 + 1 + 0*p - 59*p**2. Determine t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 22*u + 162. Give r(-29).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/24 - (-6)\/(-9). What is the smallest value in -1, 0.04, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 33602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*w**2 + 26*w + 2 - 28*w - 44*w**2 + (0 + 1 - 3)*(4*w**2 + 0*w**2 - 3*w**2) + 3*w**2 - 4*w**2 + 0*w**2.\nAnswer: -20*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -650 + 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6, -2*g + 3*w - 6644 = -7*g. Let k = -509 + g. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:45 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75696 by -38.\nAnswer: -1992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + -2. Let h be (3\/4)\/(k\/12). Are -2\/7 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 123.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-6)\/84)\/(8\/(-48)*-30)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 445578.3g in micrograms?\nAnswer: 445578300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 17, 0 in increasing order.\nAnswer: -1\/13, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134697918.6 nanoseconds in weeks?\nAnswer: 0.0000002227148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:19 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1366*z + 60117. What is o(-44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3531924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8 - (-2)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:48 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/47, 2\/37, 1\/9, 2\/13, 5?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-15))\/(2\/5). Let h(m) = -m**3 - 10*m**2 - 8*m + 15. Let x be h(q). Find the third derivative of 6*d**x - 3*d**2 - 2*d**2 + 7*d**2 wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w*w)**(3\/10))**(-23) assuming w is positive.\nAnswer: w**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**3 + 5*x**2 - 2*x - 3. Suppose -4*t + 20 = -8*t. Is r(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 1. Let j be q(-1). Suppose j*b = b. Suppose 4*h = -h, -5*k - 5*h + 95 = b. Solve -3*o - 2*r = 1, o - 7*r = -3*r - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -48. Let j be m\/((-92)\/(-56) - 2\/14). Solve 0 = -2*k + j*d - 10, -5*k - 5*d - 25 = -0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058793197 rounded to five decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14562.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 1. Let f be o(-5). Suppose 16 = f*k - 20. Suppose k = 4*i + 1. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 0.1 (c) 8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -1037\/9. Let i(q) = -2722*q + 8165. Let w be i(3). Which is the closest to w? (a) 0.2 (b) n (c) 1 (d) 1\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 8*t**3 + t + t**3 to the form n*t + z + j*t**3 + a*t**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.799.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/13)\/z**(2\/11))**(2\/5) assuming z is positive.\nAnswer: z**(-184\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 + -0.2. Let t = n - 0.33. Which is the closest to 0? (a) t (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19949 + 19954. Solve -z*f - 3*i + 13 = 0, -f - 57 + 58 = -i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 11 + 9 + (-2 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 5*p + 4. Let u be b(6). Suppose 8*h - 690 = -15*h. Let t = u - h. Solve 18 = t*a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 - 278*d + 2498. Determine a(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(6)*2)\/(sqrt(48)*6) + 1*(sqrt(1584) + (1 + sqrt(1584))*-2 + -5).\nAnswer: -143*sqrt(11)\/12 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/76 - -5\/19. Let j = -5 + 8. What is the third smallest value in 0.4, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5 + 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -268, -739, -1446, -2413?\n\"Answer: -4*w**3 - 82*w**2 + 15*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -61*z**2 - 40*z. Let u(q) = -122*q**2 - 91*q. Determine -2*u(a) + 5*v(a).\nAnswer: -61*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and -20.4?\nAnswer: 6.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 613*s**2 - 136*s**2 + 107*s**2 + (2*s + 2 - 2)*(-5 - 3*s + 5).\nAnswer: 578*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1641 and (-756)\/(-2268)*((-6)\/(-547) - 0).\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-40) - (-194)\/5. Let b be 534\/33 + (-4)\/22. What is the greatest common factor of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77287 is divided by 2862?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9124 is divided by 284.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a + 143c?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5 - 1. Let g(b) = -b**2 + 10*b - 13. Let x be g(9). What is the remainder when i\/x - ((-4059)\/12)\/3 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t - 4*t - t + (-1 + 3*t + 1)*(-6 + 0 + 4) + (t + 3*t - 3*t)*(-1 - 13 + 4))*(3 + 1 + 2) to the form v*t + f and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -446 + 272. What is the closest to w in -3\/2, -4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:57 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 152 = -5*n. Let l be (-1)\/5 + n\/(-10). Let k = 27 + l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*q - 33, 2*u + 4*q + 9 = -5. Let i = u - -19. Suppose -108 = -4*a - i*y, -135 = a - 6*a + y. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -10. Suppose -3*k + 484 = 4*p, -k - 5*p + 10*p = -155. Let y = -111 + k. Calculate the remainder when y is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142411 (base 5) in base 14?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let m be (5 - 4)\/(4\/12). Let k(z) = -3 + z**2 + 3*z**d - m*z**3 + z**3 - 2*z. Give k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-729)\/5 - (-346320)\/16650?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 28*b**3 + 2*b**2 + 2*b - 1. Determine p(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3200143 (base 5) to base 16\nAnswer: -cfb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14706, -28754, -42804, -56856, -70910, -84966?\n\"Answer: -l**2 - 14045*l - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + g + 1 + (-3*g + g + 3*g)*(-1 + 5 - 3) + 2*g + 0*g - 3*g + (-22 + 3 + 10)*(5 - 6*g - 5) to the form y + r*g and give r.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-4 - -9) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-2831)\/(-42693). Let y = m - 2\/107. Let o = -14 - -13.8. Put o, y, -3\/2 in decreasing order.\nAnswer: o, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 31 = 2*k + 1, -3*k - 12 = -3*t. Let s = 69 + -60. What is the lowest common multiple of s and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*m + 2736900 = -48*m. What are the prime factors of m?\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + -3 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*j - 14 = 0, 4*h - 17 = 3*h + 2*j. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/85, 2\/5, -3, 0.2, 4\/3 in increasing order.\nAnswer: -3, 2\/85, 0.2, 2\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 + 106. What is the third derivative of 9*j**2 + 20*j**5 - 2 - 60*j**5 + 34*j**o wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.518363 seconds in nanoseconds?\nAnswer: 8518363000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694240573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 483 + -485.24. Let c = m + 2.23396. Round c to four decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-1 - 120\/(-28)). Let o be 32\/(-6)*39\/(-182). Let p = 0.02 + 2.98. Which is the closest to -1? (a) o (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.2, 0.4, 5, 0.11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*p*w**3 + 937*l**3*p - 3*l**3*w - 2*l**2*p + 2*l**2*w**2 - 165*p*w**3 wrt l.\nAnswer: 12*p*w**3 + 5622*p - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/r**(1\/5) assuming r is positive.\nAnswer: r**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) 1 (b) 0.08 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 834 = -4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 3)*(2*l - 5*l + 8*l**2 + 0*l) + 5*l**2 - 5*l**2 + 3*l**2.\nAnswer: 83*l**2 - 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1686 or -3371\/2?\nAnswer: -1686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -r, 2*m - 48 = -3*r - 47 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*l - 18, 4*d = -463*l + 458*l - 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*p**4 - 2*p - 1295 with respect to p.\nAnswer: 780*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*((((l**6\/l)\/l)\/l)\/l)\/l*l))\/l)**(-23)\/(l**(3\/7)\/(l**(2\/9)\/l)) assuming l is positive.\nAnswer: l**(5720\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6156\/(-594))\/(7*(-66)\/3388).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22756856 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3420 by 5.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1938 + -18?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**7\/2520 - f**6\/720 - f**4\/2 - 2*f. Let j(x) be the third derivative of b(x). Determine w, given that j(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5218944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8396 is divided by 8084?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*h + a - 8, -2*h + 3 = -5*a. Let s = -1923 - -1923.2. What is the closest to -2 in 2, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5902*s - 62135 = -3287 + 17247 - 5271 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79162 (base 11) to base 5.\nAnswer: 12132110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3487452, -3487432, -3487412, -3487392, -3487372?\nAnswer: -3487352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 - 443*y**3 + y + 10*y**2 + 134*y**3 + 151*y**3 + 3 + 158*y**3 in the form t*y**2 + k*y**3 + z*y + u*y**4 + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2 + 4756*x - 19088 = 0.\nAnswer: -1193, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 1:33 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 2*w - 5*w + 0*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 93, -52441, 5 in increasing order.\nAnswer: -52441, -5, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 459 - 252. What is the greatest common factor of p and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*w + 36 = 0. Solve w*u - 5*u - 5 = -2*y, -3*y + 10 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18813050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*c + 35, -5*c + 4 + 21 = 0. Suppose -v*w + 4*j + 567 = 0, 774 = 5*w - 3*j + 205. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -142 + 67 + 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 56\/9 - (-4)\/(-54)*3. What is the nearest to 1 in -5\/3, 57, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 4. Let f(t) = t**2 + t. Let d(j) = -3*f(j) + s(j). Let y be d(-1). Solve 4*u + x + 11 = y, -3 = 2*u + 2*x + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 6, 0, -0.11, 409, 5\/4 in ascending order.\nAnswer: -0.11, 0, 5\/4, 3, 5, 6, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -76*y + 95*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*c + 117810 = 555*c + 154*c for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 18*w**2\/11 + 3500*w - 34818550\/11 = 0.\nAnswer: -25415\/9, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1760004410 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/65, -3, -2\/15 in decreasing order.\nAnswer: -2\/15, -22\/65, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-24)*6\/(-2). Let g be 7858*r\/(-8) + 1. Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264*-0.5\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -5. Let m = q + 10. What is the units digit of 31\/m*(-12)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 2\/21*u**3 + 0 + 11\/84*u**4 - 13\/210*u**5 - 7*u**2 + 0*u. Factor m(y).\nAnswer: -2*(y - 1)*(13*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 142*r + 2. Let q(c) = -8*c. Determine q(w(o)).\nAnswer: -1136*o - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*g - 4126609 = -98*g - 124*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 f, and 1 e when four letters picked without replacement from nexfxddeedef.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - -38. What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*s = 4*s - 7, 0 = -4*m - 2*s + 2. Let g(t) = 1 - 5 - 10*t + m. Suppose -19*b - 59 + 40 = 0. What is g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 12, 99 + 244 = 2*x + r. Suppose 12*q = 13*q - x. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:36 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m + 91 = 23 - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (1*sqrt(1728))**2 + 2*(sqrt(216)\/(1*-5*sqrt(8)))**2.\nAnswer: 43254\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*f - 22, 0 = 4*s + 4*f + 11 - 43. Suppose 0 = -s*n + 335 + 127. Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - 2. Let g be 9\/l - (-22)\/8. Solve g*k + 4 = -d + 3*k, 3 = -d + 2*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-5)*(-1 - 21\/(-18)). Let m be ((-2)\/(11 - 3))\/((-15)\/20). Which is the closest to s? (a) m (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-32 - -21 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5624313*q**4 - 1762718*q?\nAnswer: 67491756*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 + 32 + 3)*(z - 6*z + z + (-2*z - 3*z + 3*z)*(1 + 2 - 2)) to the form t*z + i and give t.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -10604*a**2 - 63638*a - 8. What is the remainder when q(-6) is divided by 154\/6 + (-2)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*b + 135*b + 5*t = 10, -2*b + 2 = t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -346*s - 2065. Calculate the smallest common multiple of r(-6) and 2\/(-5) - 54\/(-10).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39777 + 39777.5. Let d = -43.8 + 7.8. Sort d, 0.1, n in decreasing order.\nAnswer: n, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 + -143. Let o = l - 134. Which is the second biggest value? (a) o (b) 7 (c) 0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 24. Determine u(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10 + 3*y + 9*y - 7*y - 3 + 4. What is r(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 1055*k**8\/336 - 149*k**4\/4 - 15*k**2. Find the second derivative of s(n) wrt n.\nAnswer: 21100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 76. Calculate the greatest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/169*4)\/((3\/4)\/((-59)\/(-236)))\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -3\/7, 0.01, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -34125.64743 to 0 dps.\nAnswer: -34126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1629 - -0.8371. Put -21, z, 4, -2, -1\/8 in decreasing order.\nAnswer: 4, z, -1\/8, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 13*y**2 - 2*y + 31. Let q be m(13). Solve 0 = -5*p - 3*d + 4, 4*d - 5*d + 8 = -q*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64041163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 2*a + 3. Let f be j(2). Let h be ((-2)\/f)\/((-2)\/15). Let y(k) = -7*k - 4. Let z(q) = -4*q - 2. Give h*z(w) - 3*y(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1217711, 1217712, 1217713?\n\"Answer: k + 1217710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 66 = -12. Suppose 2*f = 4*m - r + 3, 3 = -3*f + 4*m. Suppose -f*g + 5*q = -8335, 5*g - q + 6*q = 13945. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-115)\/(-46) + 3\/(-2). Let l(j) = -12*j + 3. Let b(h) = -h**3 + h - 1. Let c(w) = y*l(w) + 3*b(w). What is the second derivative of c(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -120*b**2 + 2*b + 1. Let g(x) = -599*x**2 + 11*x + 5. Let t(k) = 2*g(k) - 11*w(k). Let h be t(1). What is the highest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*a + 388024 = 401*a. What is the greatest common divisor of a and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21556457 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-414)\/(-14) + 30\/70. Let d = n + -13. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 8*b + 21. Let g be s(10). Let k be (5 - 7) + (2\/g)\/2. Let h(z) = -z - 1. Determine h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/78)\/(2\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + s = -35, 3*s + 81 = 4*i - 63. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 373?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 953251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7*r = -3*r - 16, -5*r + 20 = -2*v. Solve -2 = -u - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -4. Let i be (-23895)\/8*(-2)\/6. Let h = 994 - i. Which is smaller: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*z = -8, -6*z - 8 = -4*c - 2*z. Calculate the highest common divisor of c and 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/(-22))\/(15\/(-20)). Differentiate 24 - 3*x - s*x**2 + 172 + 136*x with respect to x.\nAnswer: -4*x + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 6*p + 10 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378 + 578. Suppose -73*x - 1378 = -3495. Suppose 34*m = x*m + i. Calculate the smallest common multiple of m and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*s - 28, 5*p - 23*s - 7 = -25*s. Sort -479, 0, -2, p in descending order.\nAnswer: p, 0, -2, -479","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + z - 5 = 0, -17 = -2*a - 7*z + 2*z. Suppose p - 2*v = a, 3*p = 6*p - 3*v - 6. Suppose -1 = q - p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 11 - 61. Let m be (4 - 40\/4)\/(15\/a). Let p be (m - 11\/(-2))*2. Solve -3*z - z - p*o - 26 = 0, 0 = 4*z - 5*o + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 38*l - 158. Let g(f) = -4*f**2 + 77*f - 314. Let n(d) = -2*g(d) + 5*h(d). What is j in n(j) = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47253.452 rounded to the nearest ten?\nAnswer: 47250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 4384212410006.\nAnswer: 4384212410006.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 260986289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 12 = -3*z - p, 0 = -3*z + 5*p + 55. Suppose -5*o = -5*w + 40, 5*w - 3*o - 17 = 19. Suppose -w = -r + z. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f + 54*f - 10878 = 107*f + 131*f for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 6. Let t = -8 - -30. Calculate the remainder when t is divided by ((-22)\/p - -1)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2343138 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0374 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*s + 2*t + 66, -3*s = 5*t - 446 + 493 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 3. Let u(y) = 5*y**2 + 9*y + 23. Let w(p) = -u(p) + 6*x(p). Determine w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 70*n - 8. Let u(q) = q**2 - 159. Calculate c(u(g)).\nAnswer: 70*g**2 - 11138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 108*g + 653. Let r be j(48). Solve -47 = -5*i - r for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(0 + 2*v + 0) - 5*v - 6*v + v - 16*v + 7*v - 4*v)*(-v + 0*v - v)*(-2*v - 2 + 2*v - v).\nAnswer: -42*v**3 - 84*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 10120.2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/7 - 155\/21. Let l = 5 + -9. Let v be ((-10)\/25)\/(16\/10). What is the closest to v in -0.2, i, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:33 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 - 7*l**3\/3 + l**2\/2 - 4*l - 147. Let d be q(7). What is p in 0 + 3\/8*p + 3\/4*p**d - 9\/8*p**2 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17476258, 34952515, 52428772, 69905029?\n\"Answer: 17476257*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 3, -2954 in descending order.\nAnswer: 4, 3, 1, -2, -2954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -670.21 + 666. Let z = w - -0.21. What is the smallest value in -2\/5, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970127 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v. Let y(o) = 7*o**2 - 2*o**2 + 9*o**2 - 3 + 5. Give d(y(p)).\nAnswer: 98*p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*k**4 + 40*k**4 + 95*k**4)*(11 - 2*k - 11).\nAnswer: -200*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*t = 2133*t - 1055*t - 351 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -51*i**3 - 21*i**2 - 90*i - 21. Let d(x) = -3*x**2 + 4*x**2 - 5*x**3 - 3*x**2 + 6476*x - 6485*x - 2. Determine 21*d(b) - 2*k(b).\nAnswer: -3*b**3 - 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 12*t**2 - 37*t + 19. Calculate k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + 1409\/7. Suppose 0 = -8*z + 647 + 2121. Let i = z - v. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14343*(-42)\/(-45))\/(8\/1120) - -7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007763 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10557 + -3814. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Determine u, given that 0 + 4*u + 0*u**3 + 1 + 2*u**j - 3 - 4*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1360, -1467, -1572, -1675, -1776, -1875, -1972?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*((sqrt(72) + 0)*2 + -4 - (3 + sqrt(72) + sqrt(72) + -1 + 2)))**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -589697.\nAnswer: -589697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 + 7294829*d**3 + 53214471780577*d**2\/2 - 212858237274228*d + 425716707983112.\nAnswer: (d - 4)**2*(d + 7294833)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2264, -2341, -2418, -2495?\n\"Answer: -77*d - 2187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k + k)*(-4*k**2 + k**2 + k**2 + 0*k**2 - k**2 + 0*k**2 + (2*k - 2*k - k)*(0*k - k - k) + k**2 - k**2 + 3*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = 0, x = -h + 3*h + 14. Suppose -2*r + 3*j + 2*j - 1 = 0, -10 = -3*r - x*j. What is the remainder when 4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 3 + 0*w)*(1 - 1 - 2*w + (5 - 3 + 0)*(-157 + 157 + 71*w)) + (2 + 3 - 7)*(-w**2 - 2*w + 2*w) + 82*w**2 + 1491*w - 1491*w.\nAnswer: -196*w**2 + 420*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (432\/135)\/((-17)\/(-15) + -1). Which is the third smallest value? (a) f (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28492.31 centuries to months.\nAnswer: 34190772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5*5 - 14)\/((-45)\/15).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.101 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2982287.1s to minutes.\nAnswer: 49704.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 4*k + 3 - 2)*(34 + 28 + 13) to the form u + p*k and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274783 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 3*g**2 - 20 + 5*g + 18 - g**3 in the form f*g**2 + i*g**3 + j + x*g and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v**2 + 123865*v + 49550 = 0. What is v?\nAnswer: -2\/5, 4955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.304 in -3, 2\/5, -0.078?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*g + 37. Let v = -12 - g. Find the second derivative of -8*i + 9*i - i**v + 4*i**5 wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*q + j, 2*j = 1 - 11. Let z(v) = 7*v + 3*v**q - 7*v + 1. Let s be z(1). Solve -5*h + s*h = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 550 = -4*c. Let n = 64 + c. Let q be (-12)\/8*(-240)\/n. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 7, m: 7}. Give prob of sequence xxx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7358688 divided by -1836\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6153 is divided by 510.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 4)\/4 + -7 + (-26432)\/(-4248). Let -q*y**2 - 8\/9 - 10\/9*y = 0. Calculate y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, -35\/4.\nAnswer: -24, -35\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = d, 3*s + s - 10 = -2*d. Solve s*w - 9 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3400*z**2 - 561 wrt z.\nAnswer: 6800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y**2 - 11*y**3 + 5*y - 4*y**2 + 9*y**2 - 5. Let l(t) = -6*t**3 + 3*t**2 + 3*t - 3. Give 3*f(b) - 5*l(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 - 32b?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, -0.21, 6, -21\/2, 38 in descending order.\nAnswer: 38, 6, 2, -0.21, -21\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3630? (a) -2\/7 (b) 26 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345440 and 22.\nAnswer: 3799840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 15 = -5*k. Let x = -4 - -4.3. Let w = x - 0.1. Which is the biggest value? (a) w (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-1)\/5)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/5238 and 59\/9603.\nAnswer: 57618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1134 + 8208592.657.\nAnswer: 8208592.5436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -144, -23, 164, 411, 712?\n\"Answer: -h**3 + 39*h**2 + 11*h - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-1 + 1 - 3*o**3) + o**3 + 14*o**3 - o**3 + 2*o**3 + 5*o**3 - 4*o**3)*(-4*o**2 - o**2 + 2*o**2).\nAnswer: -69*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -13*k**3\/2 - 255*k**2 - 78*k + 1299. Suppose d(s) = 0. What is s?\nAnswer: -26, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/8*(80272\/(-174))\/(-173).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y - 14 - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-64)\/12)\/((-3)\/9*2). Solve f*z = 29*z + 42 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let y(q) be the first derivative of 5*q**3\/3 + 16. Calculate p(y(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76209749*g**5 + 201478253*g.\nAnswer: -1524194980*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 - 3*f + 348. Does 6 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50225.17 to the nearest ten.\nAnswer: -50230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 + 26*q - 24*q as s*q + r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7392, 0, -24479 in descending order.\nAnswer: 7392, 0, -24479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11010001?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 2 (b) 2353 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -3, -19, -1 in increasing order.\nAnswer: -19, -3, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -258, -1, -113725 in increasing order.\nAnswer: -113725, -258, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*i + 390 = 7*i, 3*b + i + 242 = 0. What is the least common multiple of 16 and (-3)\/((135\/b)\/9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4706 and 76.\nAnswer: 357656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 687*o**2 - 687*o**2 - 21*o**4 + (o + 2*o - o)*(6*o**3 - 3*o**3 - 2*o**3) - o**4 + 2*o**4 - 2*o**4.\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -10*o + 25. Give n(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 856 (b) 5 (c) 0.0059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12192 - 68725?\nAnswer: -80917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24025*k + 312319. Determine m(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m**2 + 167*m - 130. Let r(i) = 5*i**2 - 83*i + 65. Let s(b) = 2*g(b) + 5*r(b). Calculate the remainder when s(32) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.663 rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5489\/4 - -1357. Calculate the common denominator of z and -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 3 + 3)*(-3*f + 3*f - 2*f**2)*(115 - 362 + 123) as a*f**2 + h + n*f and give a.\nAnswer: 5208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -72698*q + 2980623. What is u(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14012921?\nAnswer: 13, 1077917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i. Let v = -102 + 86. Let g(j) = 3. Let m(r) = -r + 18. Let s(t) = 6*g(t) - m(t). Give v*s(d) - n(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) -3 (c) -0.5 (d) 0.4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 equal to 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261772 * -0.9.\nAnswer: 235594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 4*p + 173. Let m be k(8). Solve -m = 15*u - 608 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b - 19*j + 8*j + 4 = -61*b - 10*j, 15*j - 73 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 45, 39895 in descending order.\nAnswer: 39895, 45, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9648992 to 2 decimal places.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14750 divided by 7375.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2200547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 7*j**2 + 5*j**2 + 4)*(-j + 0*j + 4*j).\nAnswer: 6*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1, -0.024, 0.2, 2\/143?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 7. Let s be (-1 + -5 + w)\/(9\/12). Solve 0 = 5*n - 3*u - 0*u + 35, 0 = -2*n + s*u - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*5\/(20\/(-8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - 5*f + 152, 186 = 3*i - 3*f. What is the second derivative of -24*w - i*w**4 + 66*w**4 - 12*w**5 - 9*w**5 wrt w?\nAnswer: -420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1352)\/(-78)*(2 - 5)*-6. What is the greatest common divisor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11\/3, -5\/4, 0.3, -411?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36759 <= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5528381 is divided by 26707?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 57313?\nAnswer: -57341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u**5 + 225060*u**4 + 3318905*u**3 + 1741250*u**2 - 7089780*u + 1804600 = 0 for u.\nAnswer: -14, -2, 2\/7, 1, 6445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3 - 1\/4*q**4 + 2 - 2*q + 1\/2*q**2. Let g be (78\/(-15 - -2))\/(0 - 2). What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307, 5, -4 in ascending order.\nAnswer: -307, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 16) to base 11\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -1214, -2717, -4810, -7487, -10742?\nAnswer: -14569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:32 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -20.03. Which is bigger: -2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 + 99*w - 14*w**2 + 36 - 99*w as q*w**2 + t + a*w and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-3)\/((-12)\/(-52)). Suppose 2*g = v*g - 168. What is the highest common factor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 55 - 3 = -3*u, -4*c = 4*u - 64. Let m(r) = -3*r**2 + 143*r - 56. Calculate the remainder when m(47) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68882 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by -244678.\nAnswer: 309\/244678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from rwwwwrwrrwwiwwwi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from jjaaapfahaj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2)\/(-4)*0. Let q = -90 + 155. Suppose 5*k = -c + q, 52 = -u*k + 4*k + 2*c. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:05 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1918 + 2259. List the prime factors of h.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6184, -10256, -10106, -3622, 11308, 36796?\nAnswer: 74954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 986, 1029, 1072, 1115, 1158, 1201?\n\"Answer: 43*f + 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4075 or 4158?\nAnswer: 4075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3367, 6494, 9381, 12028, 14435, 16602?\nAnswer: 18529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 4. Let j be g(4). What are the prime factors of ((-888)\/36)\/(j\/6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbqqbbbbbbbqbbbbb. What is prob of picking 1 q and 1 b?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313304240 (base 5) to base 7.\nAnswer: -14051654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o**4 + 3*o**3 - 1054*o**2 - 187638.\nAnswer: 28*o**3 + 9*o**2 - 2108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -199*v**2 - 2*v**6 + 31*v**4 - 13*v**4 - 38*v**4 wrt v.\nAnswer: -240*v**3 - 480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13983709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23110166 (base 8) to base 3.\nAnswer: 100102221000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/24)\/(3*(-1)\/(-36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 808 by 1055.\nAnswer: 808\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90624581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22172 and 105076?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + q + 2*q - 3, 0 = -2*b + 2*q + 10. Suppose 0 = -b*t - r - 2*r + 1575, 4*t - r = 2115. List the prime factors of ((-6)\/8)\/((-11)\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 q when four letters picked without replacement from {q: 3, h: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -11*d + 47*d. Suppose 10*y + 3068 = d*y. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) -0.008 (c) -1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/12*18\/(-8). Let v = 75 - 22. Let p = v - y. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Let k = 0.22 - -0.08. Let l = k + -0.4. What is the closest to h in 1, 3\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from wownonkkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 857*z**3 - 3*z**2 - 1698*z**3 + 904*z**3 as x*z + g*z**3 + i + o*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -124. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, -1 in decreasing order.\nAnswer: -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 382.9037 or -0.4?\nAnswer: 382.9037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 10 = -x. Suppose 2*h = 8*h - 90. What is the greatest common divisor of x and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 42 = 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let t(l) = -30*l - 21. Let s(y) = 3*y + 2. Let h(q) = 21*s(q) + 2*t(q). Let n(r) = -4*h(r) - 9*i(r). Let c(w) = 3*w. Determine c(n(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 11*u + 5 = 3*f, 0 = -2*u - f + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 2, j: 13}. Give prob of sequence rry.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23458002 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/8)\/(((-194)\/(-485))\/(2*2))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1561246801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 134. Calculate the greatest common factor of 30 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21681.42 seconds?\nAnswer: 21681420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*x + 68*x - 272. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 3935262.\nAnswer: 16\/1967631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720867 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 6, 54, 154, 324, 582?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24011004?\nAnswer: 2, 3, 17, 117701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -11 + -16 + 10 + (-11 - -14) + -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.73 - -2.13. Which is the third biggest value? (a) 1\/4 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -690a - 1?\nAnswer: -6910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from rllbbrlblulllr.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21.3 in 2, 1\/8, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzx when three letters picked without replacement from {n: 3, f: 1, z: 3, t: 1, x: 1, p: 10}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 510*w - 23. Suppose 55 = -5*t + 80. Suppose -2*m = -t*c - 4, -m = 2*c - 6*c + 1. Is q(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, 115, -7 in ascending order.\nAnswer: -234, -7, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1045*y**2 - 565*y**2 + 191*y**3 + 33*y**4 + 67*y**3 - 96*y.\nAnswer: 3*y*(y + 4)**2*(11*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1615632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4638*z**4 + z**3 - 3*z + 12 - 4640*z**4 + 11 as f*z + q*z**2 + k + c*z**3 + u*z**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i - 44. Let q be (i\/33)\/(2\/(-6)). Solve -5*n - 21 = 2*p, -q*n - 2 = -4*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 37.91054?\nAnswer: 37.61054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -8128950078966.\nAnswer: -8128950078963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2325372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d - d**4 + (-d + 0*d + 2*d)*(4 - 1 - 2)*(212*d**2 - 149 + 205*d**2 - 414*d**2)*(-d + 3*d - 3*d).\nAnswer: -4*d**4 + 149*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779732979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6187 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -56, -60, -66?\n\"Answer: -w**2 + w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191067 is divided by 454?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 88\/(-40)) + 58\/10. Solve -4*m + 0*m + 2*u = -b, -4*m = -u - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463.083 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101110111011000010100 - 11?\nAnswer: 101101110111011000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -127, 5, 0.\nAnswer: -127, -44, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(2\/37)\/s)\/s)\/s)\/s)**(-5\/6) assuming s is positive.\nAnswer: s**(365\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 - 215. Suppose 221 + 1802 = y*m + p, m - 693 = -5*p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s**2 + 4. Let x be w(0). Calculate the remainder when (-10 - 1)\/(x\/(-8)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003551177 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3335142 or 3335143?\nAnswer: 3335142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68082 divided by 6.\nAnswer: -11347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:00 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 167. Let i be (1 + -451)\/(r\/20280). Round i to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 6. Let a be v(6). Let l = -21 + 36. Suppose 6*b = b - l. Sort a, 2, b in increasing order.\nAnswer: b, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 568, 0.5, -0.6, -4, -0.3, 0, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: 20442 (base 5) to base 13\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 4*o - 10, -2*v = -2*o - 10. Suppose 2*m - 3165 = -v*l, 3*l + 1000 = 3*m + 2920. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgr when three letters picked without replacement from rrestgp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/4, -2\/13, -0.23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**3\/3 + 8. Let d(s) be the third derivative of -7\/24*s**4 + 0 + 0*s + 3*s**2 + 0*s**3. Determine z(d(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1137*t + 1135*t + 14. Suppose -t*a = 23*a - 180. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -858, -856, -850, -840, -826, -808?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 + ((-180)\/(-108))\/(2 - 49\/21)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 98 = -706. Let x be 2\/9 - z\/(-36). Let b(h) = -h**2 - 3*h + 7. Let f be b(-5). Is x equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/4)\/((-140)\/800)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537*p - 7*p**3 - 2758 + 2758 + 537*p.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 46096538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3 = 2*u - 7, 0 = g + 5*u - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7.9. Let k = -1 - -1. Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14054 - 14055. What is the closest to t in -5, 5, -0.4, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 7414 = 7533. Solve -24 = -i + y*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 92479?\nAnswer: 92476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 - 5 - 20*t**2 + 10*t**2 + 6*t. Let n be w(5). Suppose n = -2*v - 3*v + i + 75, 0 = 5*v + i - 85. What is the least common multiple of 8 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127878 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 297*t - 65 = -299*t, 70 = 3*p - 5*t for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 2*h**2 - 3*h - 2. Let g(n) = 3*n**3 + 83*n**2 - 24*n + 115. Let f be g(-28). Let i(c) = 3*c**3 + 4*c**2 + 5*c + 3. What is f*i(j) + 5*d(j)?\nAnswer: -j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110000111 - 100101100?\nAnswer: -1011010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -113. Let p be 6\/5 - (-78)\/(-15). Which is the nearest to 0? (a) p (b) 1\/12 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*n)*(3 - 3 + 2*n**4) + n**5 + 3*n**5 - 5*n**5 + (0*n**5 - 21*n**5 + 6*n**5)*(-4 + 2 + 4).\nAnswer: -35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -680\/1399949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1599703, 1599926, 1600149, 1600372?\nAnswer: 1600595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 4761*r**7\/70 + 2137*r**5\/15 - 6*r**2 + 258*r + 2. What is the third derivative of u(p) wrt p?\nAnswer: 342792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218837?\nAnswer: 53, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -33*v - 21. Suppose v*u = -2*w + 5*w - 78, -2*w - 5*u + 87 = 0. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.2 - 1.2. Which is the closest to 2? (a) u (b) 2\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153*r**4 + 610*r**3 - 8*r - 24879 wrt r?\nAnswer: 1836*r**2 + 3660*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/6, -0.08, 63.1.\nAnswer: -0.08, 31\/6, 63.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 4 + 22. Let z be (-6)\/(-2) - 11\/j. Which is the nearest to 0.1? (a) z (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 2979.9?\nAnswer: -17879.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39158169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(-1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 533*k**3 + 430*k.\nAnswer: 3198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/20 + -13\/4. Which is the third smallest value? (a) 4 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, 55, -3 in descending order.\nAnswer: 55, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k = 102*k + 83*k - 2951 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - 45\/(-66). What is the second smallest value in i, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, 19, -1, 666, 2, -10 in decreasing order.\nAnswer: 666, 19, 4, 2, -1, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (2 - (1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*l - 2*l. Suppose -4*q = -4*b + l, b + 0*q - 5 = -2*q. Suppose 4*g = 5*x + 37, 4*g = -5*x + 14 + b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:12 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3. Let g(m) = -m**3. Let k(s) = -14*s + 2. Let r be k(-2). Suppose -o = 2*o - 3, -5*b + 5*o - r = 0. Calculate b*g(f) - 4*i(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pik when three letters picked without replacement from {k: 1, i: 11, r: 1, v: 1, p: 1}?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 + -0.72. Let u = v + 1. Let j = 0.13445 + -0.03445. Which is the closest to u? (a) -3 (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3)*(-j**3 + 0*j**2 + 0*j**2) + 2*j**3 + j**3 - 2*j**3 - 115*j**3 + 2852*j**2 - 2852*j**2)*(-3*j**2 - 2*j**2 + j**2).\nAnswer: 468*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:05 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 790, 789, 788, 787, 786?\n\"Answer: -j + 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 e when four letters picked without replacement from {e: 3, a: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59743 + 59807. Suppose c - 13 = 11. Calculate the highest common factor of h and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 819\/2*y + 1\/2*y**3 - 1215\/2 - 141\/2*y**2 = 0.\nAnswer: 3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 494\/943 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 2*x + 0*x + (2 + 1 - 5)*(-4*x - 9*x - 10*x).\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 367? (a) -2 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2107586\nAnswer: 1\/2107586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let n = 27 + -26. Let z(g) = g + 1. Let k(w) = 4*w + 2. Let b(m) = n*k(m) - 2*z(m). Calculate h(b(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137 and 80419?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 323?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - l - l + 2*l - 2 + 2 + (0 - l + 0)*(0 + 3 - 5) - 206*l + 6 - 63 + 203*l - 5*l + l + 3*l to the form y*l + p and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16623 = -408*h + 34904 - 4199 for h.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299956983 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16999576 is divided by 149.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-14))\/((-2)\/(-7))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 176 + 10?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = -5*d, -5*d + 20*w + 15 = 15*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 0 + 16*l**3 + 0.\nAnswer: 16*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1616657 (base 8) to base 14\nAnswer: -c1d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10357, -4, 2, 3, -12 in increasing order.\nAnswer: -10357, -12, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = p - 5*f, 0 = 3*p - 73*f + 70*f - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -4698, 5, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = -5*x + 60, 2*t - 4*x = -44. Let d = -7 - t. Calculate the remainder when 32 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 2.5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 38*z**2 - 38*z - 122. Is 61 a factor of b(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 352977408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0212853 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 98 = 5*u - 0*u, 75 = 3*u - 3*d. Let y = u + 10. Suppose 3*n = 2*n + 17. What is the remainder when y is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from wbobhbohwwwvbwdhhbh.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 6*g**2 + 4*g + 1. Let f be c(5). Let l be ((-2)\/f)\/((-2)\/4). Let b be (-15)\/(l*1\/3). Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:08 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*i*k**3*p + 2485*i*k**3 - 32*i*p + 8*k**3*p + 5182*k**2 wrt k?\nAnswer: -696*i*p + 14910*i + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2*y + 2. Let k(u) = 2*u**2 + u. Let s(d) = h(d) - k(d). Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1205 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -3*f**4\/2 + f**3\/3 - f**2\/2 + 11. Let q(x) = -x - 5. Let m be q(-6). Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/5 - 192*a**4\/5 + 2169*a**3\/5 - 3408*a**2\/5 - 2172*a\/5 + 720 = 0?\nAnswer: -1, 1, 2, 12, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67897696 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 + 2)*40)\/(-2262 + 2264)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 37*h**2 + 26*h - 9. Let y(q) = -110*q**2 - 75*q + 27. Let o(t) = 17*r(t) + 6*y(t). Let i(c) = 8*c**2 + 2*c - 2. What is -9*i(g) - 2*o(g)?\nAnswer: -10*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 50 = 5*v, 0*h + 3*h - 10 = -v. Let x be 5\/(-2)*(-16)\/20. Let o = x + v. What is the least common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nff when three letters picked without replacement from nfffsnf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 12930 and 12924 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 1, l: 1, s: 9, r: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = -14. Suppose 0*i - i = l. Put -2, i, 5 in descending order.\nAnswer: 5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86346?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 9. Let m be y(7). Suppose -5*b - 4*f - 33 = 29, -3*b + m*f = 46. Let i = -14 - b. Solve i = o - 2*z + 7, 9 = -3*o + 3*z - 0*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**(-2\/73)*y*y*y**(-2\/59)*y*y**3 assuming y is positive.\nAnswer: y**(231500\/38763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-12) - (-99)\/(-22). Sort k, -3\/4, 9, -0.1 in ascending order.\nAnswer: k, -3\/4, -0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3671, -3673, -3675, -3677, -3679, -3681?\n\"Answer: -2*t - 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101582401702457 + 2*k**3 + 101582401702457.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b + 55. What is t(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176265 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1843*m**2 + 99*m + 519. Is c(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 2*h = 6, -3*h + 3 = o. What is the derivative of -2*m + 2 - 3 - o wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 3, z: 3}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, -0.01, -1\/115, -11 in descending order.\nAnswer: 4, 0.3, -1\/115, -0.01, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t = 0, -4*b - 3*t = -1384. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -275 + 268 + (-2 - -1 - (-24 + -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*(-48)\/(-30). Let j(z) = -z**3 + 6*z**2 - 4*z - 5. Let m be j(x). What is the greatest common factor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 53*x + 307. Is n(38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929656 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 29. Suppose -27*h = -c*h - 342. Is 38 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8679 = -4*k - 29*k. Suppose -6*h - k = -2165. What are the prime factors of h?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three fifths of a litre in millilitres?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 18137962903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -3*t - 77, -5*v + 2*t = -209. Let a = v - 41. Solve 3 - 2*u + 45*u**2 - 44*u**a - 2*u = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4303*v**3 + 33*v**2 - 16*v + 8. Let j(m) = -13*m**3 + m + 1. Let w(d) = 6*j(d) - o(d). What is the third derivative of w(t) wrt t?\nAnswer: 25350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-52)*-1)\/(11\/22). Let x be (-4)\/(-3)*45\/10. Do x and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5*z**2 - 41750*k**3*z**3 + 63*k**2*z + 35*k*z**3 + 1 wrt k.\nAnswer: -60*k**2*z**2 - 250500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 14. Let t(g) = -g**3 + 7*g**2 - 2*g - 2. Let o be t(q). Let a = -2 - o. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706993293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.2 (b) 5 (c) -51188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-12)\/10)\/((-9)\/540)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Find the second derivative of h - 4*h**4 + 7*h**4 - p*h**4 - 4*h**5 wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b + 108. Let l be a(-15). Let z(v) = 3 - 5*v - 3*v**2 + 9*v**2 - 5*v**2. Determine z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 times -5677?\nAnswer: -6040328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14820 and 1767760.\nAnswer: 68942640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - -8)*(-3)\/4. Suppose 7 = 2*b - p. Solve 2*c - 5 = -x, -x + 2*c + c - b = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2407806 and 3507?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -151, 4, 8 in increasing order.\nAnswer: -151, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76151 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/5)\/c))**36\/((c**(3\/5)\/c)\/c**10) assuming c is positive.\nAnswer: c**(268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 704\/197 or 5?\nAnswer: 704\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 353705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - 54. Let g(c) = -2*c + 8 - 5 + 11 + 8. Let w be g(6). What is the units digit of m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (100 - 88) + 0 + -2 + (-12 - -11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -446 (b) 5 (c) -10 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 74a99 (base 12) to base 16\nAnswer: 25815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/5102609?\nAnswer: 2\/5102609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 58*u**2 + 6*u - 30. What is the tens digit of x(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-12)*12\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 107\/8, 1, 21 in descending order.\nAnswer: 21, 107\/8, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 6*z**2 - 7*z + 1. Let s(l) = 2*l**2 - l. Let g be s(-1). Calculate the remainder when 25 is divided by x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-40)\/35)\/((-21)\/21). Which is the nearest to 9? (a) -0.4 (b) 3 (c) 0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 48972 = 3*m + 18783, -3*c + 50818 = -2*m. List the prime factors of c.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/(u**(1\/8)\/u)*u**(1\/3)*u**(8\/7) assuming u is positive.\nAnswer: u**(1739\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2691 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 34.14674655961.\nAnswer: 36.14674655961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 5 (b) -3 (c) -8460\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046509742 to five decimal places.\nAnswer: -0.04651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + i - 477 = 0, -3*i - 386 = -4*x - 6*i. What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let d(i) be the third derivative of -i**4\/24 + 8*i**2. What is b(d(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -0.2. Let v(n) = n**2 - 11*n - 4. Let w be v(9). Let x = 20 + w. Which is the nearest to h? (a) x (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16523*i*l*s - 15*i*l + 27*l + 683*s wrt i?\nAnswer: 16523*l*s - 15*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 188890.5 litres?\nAnswer: 188890500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18092951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 64847 = -50245. Let x = r - 460411\/36. What is the common denominator of x and 73\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 97313850*o - 991781. Let f(l) = -7457*l + 76. Calculate -52199*f(p) - 4*v(p).\nAnswer: -7457*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11065 - 35?\nAnswer: 11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -d - 4, -5*o = -3075*d + 3080*d + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 4:35 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739650.\nAnswer: 2, 5, 11, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggbuuggggrgugrg. Give prob of sequence grrb.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 1 = -3*c. Suppose 4*b - 7804 = 4*w, -3*w + 9747 = -0*b + c*b. Let n = 2770 - b. Round n to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4\/5 - 5848*q**3\/5 + 2433528*q**2\/5 - 349070816*q\/5 + 3367331152 = 0.\nAnswer: 146, 5410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (20 - -16) - 26?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382117827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8468, -8477, -8486?\n\"Answer: -9*x - 8459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + (-13)\/(-3). Suppose -x*d + 0*d + 40 = 0. Suppose -11 = -f - 5*h, f - 2 = -3*h + 9. What is the smallest common multiple of f and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 5, -0.5, -2\/11, -12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-10 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**13*j*j*j)*j*j*j**(-13))**(-4\/3)*(j**(-2)*j\/(j\/(j**(-9)\/j)))\/(j**1*j**(3\/5)*j) assuming j is positive.\nAnswer: j**(301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -13*i**3 - 5024*i**2 - 2321*i - 1935. Determine c(-386).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 28*q + 1. Let t(u) = 2*u - 1. Let a be t(2). Suppose 2*p = -a*p + 15. Let o be c(p). What is the highest common factor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:44 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4636211 <= -4635894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114 or 333269\/2962?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13631 - 1303 = 0. Let p(l) = -2*l + 4*l + 14933*l**3 + 2*l**2 - q*l**3. Calculate p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i - 3. Let v = 45.083 + -0.083. Let h = v - 43. What is the smallest value in h, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -1059.\nAnswer: 1058.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1019 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, i: 1, s: 1, v: 2}. Give prob of sequence di.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -15. Suppose -6 = -2*y + 3*h + 3, -h - 23 = -4*y. Calculate the highest common divisor of s and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 18\/5*y - 6\/5*y**3 - 3\/5 + 27\/5*y**4 - 12\/5*y**5 - 24\/5*y**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1951*s - 35113. Calculate o(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-72)\/(-8))\/(-27))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s - 141*s - 6852 = 0. Is 47 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawwkaa. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -935*r. Let l(o) = -477*o + 4. Calculate d(l(x)).\nAnswer: 445995*x - 3740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6187437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1839012.71 or -1?\nAnswer: -1839012.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46 + 130*k**3 + 20 + 12*k**2 + 6 - 11*k**2 wrt k.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 18?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55616294.\nAnswer: 2, 31, 401, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-32) + (-18)\/(-4). Suppose 0 = 14*v - 23 - h. Suppose 4*m - y = 4*y + 117, -5*y + 44 = 3*m. Sort -3, v, m, -1 in decreasing order.\nAnswer: m, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256 + 261. Suppose -y*o + 3*g - 23 = -0*g, 0 = -3*o - 5*g - 7. Put 2, o, 0 in descending order.\nAnswer: 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*u = -230, -4*u + 4 = 12. Let i = m + -18. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + q**3 - q**3 + (-116*q + 59*q + 56*q - 215)*((-3*q + 0*q + q)*(0*q**2 + q**2 + 0*q**2) - 6*q**3 + 2*q**3 + 3*q**3).\nAnswer: 2*q**4 + 645*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9550.024 years?\nAnswer: 9.550024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 1\/7 (c) 2\/3 (d) -3 (e) -0.07 (f) -480 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 16*y - 16. What is x(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 1. Let n be (-12)\/(-3)*(0 + -1). Let r(o) = o**2 + 3*o. Let u be r(n). What is a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*j*m*y**3 + 2*j*m*y**2 - 7*j*y**3 - j - 2*m*y**3 + 2*m*y**2 - m - y**3 - 29*y**2 wrt y.\nAnswer: -228*j*m - 42*j - 12*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -961, -4656, -10815, -19438, -30525, -44076, -60091?\n\"Answer: -1232*n**2 + n + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 3378481 + 1453889. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*c - 352 = 2*c, s - 80 = 4*c. Suppose -3*j + s = -g, 4*j + 2*g - 54 - 20 = 0. What is the remainder when 58 is divided by 0\/3 + -1 + j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 47. Suppose -3*d + f*u = 45, 0 = 3*u - 2 + 11. Let i = d - -22. Solve t - 4*t + i = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3981 - 2406. List the prime factors of g.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*l - 97, 2*h + l - 194 = 0. Suppose 5*q = 33 + h. Calculate the remainder when 103 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56020, 111963, 167906?\n\"Answer: 55943*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1778634.79 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/6 and 21\/73187?\nAnswer: 439122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 7. Let a(n) = 17*n**2 + 10*n - 17. What is the remainder when a(2) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 + 12 + 3*n)*(2*n**2 + 2*n + 0*n**2 - n**2) as q*n**2 + y*n**3 + a*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575) - sqrt(1575)*-3)\/((sqrt(36)\/sqrt(4) + sqrt(9))*3) - ((1*-2*sqrt(77))\/(sqrt(22)\/sqrt(2)*1))**2.\nAnswer: -28 + 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0697, 1, -19, -2, 0.4, 4 in increasing order.\nAnswer: -19, -2, 0.0697, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35311.13392 + -35306. Let b = r - -0.12708. Let c = b + -0.061. Round c to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/(y**(2\/71)*y)*(y\/(y\/(y\/(y*y*y**(-15)))))\/(y*y\/(y\/(y**(-3\/5)*y*y*y))*y))**2 assuming y is positive.\nAnswer: y**(21098\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21955494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + (-49 - (47 + -91)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -7*r - 129. Let q = r - -198. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 8. Let f be k(7). Let z = -9 + f. Is 72 + (3 - (7 + z)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -22. Suppose s - p = 8. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -63. Suppose 19*o - f*o + 16 = 0. Let u(t) = -2*t + 28. Does 10 divide u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-3) assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + y**3 + 4*y**2 + (-2*y**2 + 4 - 4)*(2*y - 5*y + 2*y) - 5*y**3 + 3*y**3 + y**3 + 105*y**3 + 1476*y**2 - 1476*y**2.\nAnswer: 107*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 2*a - 220 = 0, -190 = -5*p + 4*a. Suppose 2*y - p = 3*o, 0 = 2*y + y + 3*o - 48. Suppose 4*q + y + 10 = 0. Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9548\/9 - -1061. Factor 0 - q*o**3 + 1\/9*o - 1\/9*o**2 + 1\/9*o**4.\nAnswer: o*(o - 1)**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13825 times -19\nAnswer: -262675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32081658 by -21.\nAnswer: -1527698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263778 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -74643 (base 8) to base 12\nAnswer: -1602b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5494 and -1.4.\nAnswer: -7691.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 54 = -u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -k, 5*k - 5*g + 20 = 45. Suppose -k*a + 3*i = -308, -3*i + 308 = 7*a - 3*a. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 42092*z**2 + 420556*z - 378468.\nAnswer: 4*(z - 10513)*(z - 9)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 8514.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -6*x + 8*x. What is the units digit of x\/((1 - 0)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 311*w**4\/4 - 313*w**3\/3 - 191. Find the third derivative of f(l) wrt l.\nAnswer: 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3, -0.2, 0.1, 0.65884?\nAnswer: 0.65884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11209395 and 4485.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 23*h**2. Let u(j) = -11*j**2. Let a(i) = 2*k(i) - 5*u(i). What is the third derivative of a(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10318 and 1381226.\nAnswer: 92542142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -3368 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 3*w + 12, -3*o - 2*w + 14 = 0. Calculate the smallest common multiple of o and (27\/(-36))\/(1\/(-8)) - -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + t, -2*n - 1 = -3*n + 2*t. Let l = n - -2. Let q(z) = z**2 - 3*z - 8. Let u be q(-2). Is l >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**1)**(-35)*(v*v**2*v)**(1\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*i**2 + 9\/2 + 3*i.\nAnswer: -3*(i - 3)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245489200 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1134)\/(-36) + -34)*(-5 + 13).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3260 and 652?\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (48\/5)\/((-1)\/(-5)). Let x = 0 - -5. Suppose 0 = 6*y - x*y - 12. Calculate the greatest common factor of y and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 10:05 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + r + 42 = 0, 2*j + 2*r - 54 = -0*r. What is the remainder when j is divided by (-3 - -6)*13\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -w - r, -4*r + 12 = 0. Let u(k) = -5 + w*k + 0*k - k. Determine u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/29 (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*x + 72, -3*w + 3*x + 46 = 7*x. Suppose 5*z = -25, -h - w = -2*h - z. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31639 + 42807569\/1353. Let d be ((-727)\/27060)\/(-19*(-19)\/9386). Let u = q - d. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2491 and -147?\nAnswer: 147.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 93. Let i = y - -128\/3. Factor 0*t**2 - 2\/3*t + 0 - i*t**5 + 4\/3*t**3 + 0*t**4.\nAnswer: -2*t*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b + 27 = 3*t, -t + 2*b + 14 = 0. Suppose -5*d = i - 4*d, 4*d = 4*i - 16. Let n be (2 - 1)*1\/i. What is the closest to -1 in n, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2198*y + 2196*y - 5*k + 23 = 0, 4*y + 24 = 4*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggdhg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(243) + (sqrt(243) + sqrt(243)*-3)**2.\nAnswer: 9*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -532, -9, 2, 5.\nAnswer: -532, -23, -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97424?\nAnswer: 2, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2391, -4232, -6073, -7914, -9755, -11596?\n\"Answer: -1841*x - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87336726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3165 - -167203?\nAnswer: 172370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -635, -1420, -2517?\nAnswer: -3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/2, 1\/5, 8, -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/390 and -41\/6.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l + 3*f, 3*f = -2*l + f + 16. Suppose 46 - 18 = l*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.564 (b) 0.14 (c) -4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/14*4\/(-6). Let t be 6\/(-2) - ((-30 - -13) + 17). Sort -8, t, 3, a.\nAnswer: -8, a, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1956)\/(-696) - (3 - 0). Let h be (-277)\/696 - (-9)\/24. Let q = h - x. Is q greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049271739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -965.642*3\nAnswer: -2896.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(4*sqrt(16) - sqrt(4)))**2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0027 + -5.0027. What is the fourth biggest value in -3, 2\/3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 f when four letters picked without replacement from djfbbyf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (2 - -1)\/(-1). Let x = -430 + 734. Let o = -301 + x. Solve -o*m = -p - 14, m - 8 = -2*p - v*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*i**4 + i**3 - 15*i**2 - i - 3297 wrt i.\nAnswer: 864*i**2 + 6*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-4)*9\/(-297)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/(-462) + 4\/14. Suppose -d + 5*n + 750 = z, 3*d - n = -0*d + 2194. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let s(z) = -49*z - 19. Calculate y(s(b)).\nAnswer: 49*b + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -333 - -341. Suppose 7*l = 9*l - t. Solve -5*f + 2*y + 20 = -y, 0 = -l*f - 2*y + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8786873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -111.1.\nAnswer: -119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8166 and 1566736926?\nAnswer: 8166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 24*n. Let g be o(1). Suppose 3*x = 2*v + 1999 - 1887, x + 3*v - 30 = 0. What is the highest common factor of x and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 1. Let u be p(8). Let h be ((-2)\/u)\/((-4)\/6). Factor 1\/3*g + h*g**2 + 0.\nAnswer: g*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 y, and 1 t when four letters picked without replacement from ojdtdjdjffyoyo.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1749a7 (base 13) to base 5.\nAnswer: -122103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 4*h**3 + 2*h**3)*(37*h + 2*h + 10*h)*(0 - 3 + 4).\nAnswer: 294*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206843 (base 9) to base 14.\nAnswer: 22c333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(5) - (3 + sqrt(5)))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 7450\/275 + 4\/(-44).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/8 - 2*d**3\/3 - 19*d**2 + 32. Let a(q) be the second derivative of z(q). Determine a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*k = -501*k + 1 + 2, -3*g = -2*k - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 38, 36, 34, 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) 0.2 (b) -251 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 76 = -4*f, 75 = 5*o - o - 3*f. Calculate the least common multiple of 6\/(-21) + 678\/21 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/30 + u**5\/12 + 5*u**4\/24 + 5*u**3\/3 + u**2 - 45. Let q(f) = -2*f**3 + 2*f**2 + 2*f + 5. Determine -5*q(x) + 2*z(x).\nAnswer: 2*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5\/3 - 212*j**4\/3 + 948*j**3 - 3780*j**2.\nAnswer: 4*j**2*(j - 35)*(j - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/15 + t**5\/4 - t**4\/12 - 5*t**3\/6 + 3*t**2\/2 + 7*t - 1. Factor y(s).\nAnswer: -(s - 1)**2*(s + 1)*(2*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410752 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010001 - -100?\nAnswer: 1110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900 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: Solve -2*l - 1272 = -n - 1263, 0 = 5*n + 2*l - 33 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3128.641 rounded to 0 dps?\nAnswer: -3129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1049955, 2100450, 3150945, 4201440?\nAnswer: 5251935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 94 = 3*v + v, 2*y - 155 = 3*v. Let s = y + -79. Solve 0*p = -s*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -29555798\nAnswer: -5\/29555798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12737 - -636849\/50. Put -0.4, m, -3, 1, 0 in descending order.\nAnswer: 1, 0, m, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = -5*y - 5, 3 = -5*x - 3*y. Let v = -15 + 10. Let h be (-28)\/33 - 20\/(-110). Which is the third smallest value? (a) v (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p**2 - 2*p + 1. Suppose -5*h + 36 = -2*h. Suppose 5*d + h = 2*z, -5*z = -1 - 4. Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c**2*c)*c))\/c)**(10\/9)*c**(-9)*c**(-1\/4)*c)**(5\/2))**(-1\/4) assuming c is positive.\nAnswer: c**(1285\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + c**2 - 4 + 4*c - c + 2. Determine a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -274. Suppose -339 - s = -12*i. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 34*k + 32. Calculate g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 160635360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (7 + 1)\/2. Let v = x + 8. Let a(l) = -l**2 + 3*l + 3. List the prime factors of a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1414017, -2828037, -4242057?\nAnswer: -5656077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Are -847366 and -847364 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(44) + 0)) + -5)**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-139)\/(-5) - 2*(-4)\/40. Suppose 5*h - 2164 = 2*a, 4*h - i*a + 30*a = 1724. Is 36 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -348, -784, -1394, -2178, -3136, -4268?\n\"Answer: -87*t**2 - t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.14, 946\/5, 9.\nAnswer: -2\/7, -0.14, 9, 946\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286132852 to the power of 1\/2, to the nearest integer?\nAnswer: 16915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**7\/1050 + c**5\/150 - c**3\/30 + 2*c**2 - 5*c. Let p(m) be the first derivative of i(m). Factor p(a).\nAnswer: -(a - 1)**2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6829*u - 6786*u - 1431341 = 0. Does 40 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 33, 46?\n\"Answer: 13*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 995710 or 995704?\nAnswer: 995704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121 - 1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 86.1 (c) -10532\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 13*m**7\/630 - 45*m**4\/4 + 59*m - 2. Let x(j) be the third derivative of z(j). Let d(k) = -2*k. Give x(d(q)).\nAnswer: 208*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -153220, -611486, -1375264, -2444554, -3819356, -5499670?\n\"Answer: -152756*r**2 + 2*r - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20602814?\nAnswer: 2, 449, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 91199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 47. Suppose 35*q = g*q. Solve q = 5*f, -k - f = f + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/(2\/(-3)). Let p = 3 - l. Let w be (3 - p) + -1 + 2. Solve 2*f = w + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -108*(24 + 867\/(-36)). Solve 20 = -5*z, 2*f - 2*z = p + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0477811 times 0.1?\nAnswer: -0.00477811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhuuhu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/24 - (-22)\/120. Let c(w) be the third derivative of 0*w**4 + t*w**5 + 0 + 2*w**2 + 0*w - 1\/6*w**3. Differentiate c(u) wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (21 + -21 - (-1 + 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1363729 or -1363726?\nAnswer: -1363729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/15 - (3 + -2))*-5. Suppose -1 + 12 = u*g - 4*d, -3*d = -3*g + 12. List the prime factors of 4 + 11 + -5 + g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from xgggggxg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, v: 1, b: 1, f: 1}. Give prob of sequence lf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 10. Suppose 2*l + 20 = u*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*f**3*i*p - 8*f**3*i - 33*f**3*p + 126*f**3 + 4*f*i + 2*f - 2*p wrt p.\nAnswer: -62*f**3*i - 33*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779206 is divided by 211.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:14 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54 + (2 - (1 - 0)). Suppose -41 - h = -4*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10376c (base 13) to base 10.\nAnswer: 379157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 168 + 201 = 0. Suppose 194 = s - j. Calculate the greatest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -36. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c + 14*c + 12*c + 13*c - 14*c. Let p(t) = 44*t**2. Determine f(p(b)).\nAnswer: 1540*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -9133\nAnswer: -8\/9133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -1903?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-3 - 1342)\/(0 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laycalggcama. What is prob of sequence lc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000.72 less than -205.03026?\nAnswer: 20795.68974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 20. Let f be u(-5). Suppose f = -0*r - 3*r + 9. What are the prime factors of r + (-772)\/(-10) - (-6)\/(-30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1178040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57725187, -57725185, -57725183, -57725181, -57725179?\nAnswer: -57725177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31676 divided by -1?\nAnswer: 31676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41369?\nAnswer: 41, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/261499?\nAnswer: -9\/261499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j**2. Suppose 406 + 26 = 8*v. Let k(g) = v*g**2 + 57*g**2 - 114*g**2. Give o(k(a)).\nAnswer: -117*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/882 and 5\/199461?\nAnswer: 58641534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 40*b**2 + 3*b - 44. What is the tens digit of v(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3195011*j**5 - j**2 + 282*j - 811?\nAnswer: 191700660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/7, 62, 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -417316 + -22?\nAnswer: -417338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7))**19 assuming c is positive.\nAnswer: c**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8*l - 6*l - 8 = 0, -r + 4*l = -26. Suppose r*n - 1412 - 2 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -152*j - 9. Let y be q(10). Let z = y + 949. What is z rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c - 32. Let v = 50 - c. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0555? (a) 4\/13 (b) -0.4 (c) 4 (d) 5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3381*m + 1 - 971*m - 1966*m to the form c*m + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-125)\/(-225)*9 + 21234\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*43\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219 is divided by 248.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9570 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 77*q**2 - 5154*q + 67674. Determine w(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((21\/6)\/7))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*u + 8*u**2 - 4*u**3 + 2\/3*u**4 + 2.\nAnswer: 2*(u - 3)*(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -13*x + 10. Suppose 5*o + 260 = 5*a, -a + 10 = -x*o - 22. Suppose -a = 6*c - 9*c. Calculate the remainder when c is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(1\/12). Calculate the common denominator of -9\/10 and (-4)\/14 - j\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 3*k**2 + 8*k - 10. Let c be o(-5). Solve -n - n + 10 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836463 - 3039*y - 836463.\nAnswer: -3039*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2795*y**5 - 9824*y**3 + 1197574576*y.\nAnswer: -55900*y**3 - 58944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 7. Suppose 4*i + 12 = p, -a*p - 2*i + 18 = -i. Sort -4, 0, p in decreasing order.\nAnswer: p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 162460, 324992, 487512, 650014, 812492?\n\"Answer: -q**3 + 162539*q - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-10) - -2) + (-12 - (-6 + 1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2 - 12*s - 4. Let q(i) = i**2 - 1. Let t(a) = -8*a - 67. Let z be t(-8). Let d(f) = z*q(f) + l(f). Solve d(y) = 0.\nAnswer: -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -398\/303 - 2\/101. Let v = -2343 + 2348. What is the nearest to m in -1, 4\/3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 20*y + 5*y - 15*y. Calculate o(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666\/229 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915 = 8*l - 11*l. Calculate the common denominator of 2\/4*l\/(-25) and 39\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-7)*(-441)\/(-189).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 96850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-35)*140\/(-30). Which is the second smallest value? (a) -1\/10 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076 * -714244.\nAnswer: 54282.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 3. Let f be g(-5). Find the common denominator of f\/(-6)*(-85)\/(-25) and 4\/(-10) + (905\/75 - 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 645 - 63. List the prime factors of v.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 1440*v**3 - 20446*v**2 - 77724*v - 58720 = 0 for v.\nAnswer: -8, -5, -1, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 35*u**2 - 37*u - 21. Let w be x(-36). Calculate the highest common divisor of w and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -209563 > -209563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 18961.9 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 181493 divided by 13?\nAnswer: 13961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 + (-60)\/45. Let t = -0.1 - -0.3. Which is the closest to t? (a) 1\/4 (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7957858?\nAnswer: 2, 67, 59387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 5. Suppose -4*h + 40 - 8 = 0. Let t(i) = 6 + 1 - 2 + h*i + 1. Let r(z) = -5*t(z) + 6*x(z). Let v(p) = -5*p. Calculate v(r(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -469564, -939127, -1408690?\n\"Answer: -469563*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/600*(-75)\/(-60)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-35)*(-1)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14263728 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - (-1 - -7) - -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 422 and 10910599?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 28. Is (4\/12)\/(1\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 31.595.\nAnswer: -94.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.4, -3\/115, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1. Let k(m) be the first derivative of m**2\/2 + 2*m + 3. Let h(u) = -k(u) + 5*x(u). Let y(r) = -r. Let c be y(5). What is h(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 5:09 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/19 + 39\/95. What is the closest to -1 in -2\/7, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 333 - 278. Factor -4*r**4 + 2*r**3 + 116*r + 53*r**2 + 40 + q*r**2 - 20*r**3 + 46*r**3.\nAnswer: -4*(r - 10)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let h(y) be the second derivative of -y**3\/6 + y. Calculate h(j(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -18. Let m(w) = 0*w**2 - w**2 + 0*w - 2*w + 2*w**2 - c. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let g be (-486)\/(-45) + 44\/(-4). Let m be (5\/4)\/(4\/16*3). What is the second biggest value in s, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n*n*n**(4\/7))*n)*n**(2\/29))\/((n\/(n*n**(-1)\/n*n*n))\/n)**(-12\/5))\/((n**0*n)**(-4\/7)*(n*n**(1\/11))\/(n\/n**(-1\/10))) assuming n is positive.\nAnswer: n**(-3999\/22330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 2*b**3 + 76*b - 78*b + b**2 + 2 to a*b**2 + j*b**3 + l*b + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(224))\/(1*sqrt(72)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5164149 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -360 - -365. Sort -1, -1.48, d, -0.4 in descending order.\nAnswer: d, -0.4, -1, -1.48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3 - 3*h + 4 - 3 + 7*h + 135*h**2. Suppose -5*a - 9 = -8*a + 2*w, 5*a - w = 8. What are the prime factors of u(a)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 31 = 2*z. Solve 0*r**2 + 3*r**z + 171*r**3 + r**5 + 3*r**2 - 6*r**4 - 163*r**3 - 9*r = 0 for r.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 1. Let b(p) = -87*p + 10. Let k(g) = -b(g) + 2*x(g). Let l be ((-5)\/10)\/(-5 + 49\/10). Is k(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:47 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -1 - ((23 - -1) + 465 + -506).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(81\/24 - 3). Solve 0*m - 4*m + y = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5380999*c**2 - 100*c - 99. Let m be n(-1). Round m to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -1\/3, 0.1, -6, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/126054 and -103\/112048.\nAnswer: 1008432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*k + 32 = 0, 55 - 40 = -3*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 0*d - 4*d)*(0 + 2*d + 0) - 984 + 356*d**2 + 984 as m + j*d**2 + y*d and give j.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 3, 2, 1\/4, -5\/6 in descending order.\nAnswer: 86, 3, 2, 1\/4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:42 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 7, x: 1, e: 3, v: 7}. Give prob of sequence vzv.\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:45 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17) + 2 + sqrt(17) + ((sqrt(1836) + sqrt(51))\/sqrt(3) - sqrt(17)) + (-4*sqrt(68)*-5*5)**2.\nAnswer: 5*sqrt(17) + 680002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 92 (c) -225926 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/4 - 41*k**4\/4 - 395*k**3\/4 + 605*k**2\/4 + 399*k - 441 = 0. Calculate k.\nAnswer: -21, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2918.93 to the nearest 10.\nAnswer: -2920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l**2 - l)*(0 - 4 + 1)*(31*l**2 - 27*l**2 - 20*l**2)*(2 - 1 + 0)*(2*l - 3*l - 2*l).\nAnswer: -288*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 37 = -3*p - 94, 4*g - 109 = 5*p. Suppose -29*c = -g*c. Solve c = 8*t - 3*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 62432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-940)\/(-140) + (-4)\/(-14). Suppose 2*y = 5*l - 17, -4*l + 2*y = 5*y - 9. Find the second derivative of -a*n + n + 4*n**3 + 0*n - n**l wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10851 - -15450. Let i be r\/(-4) + 10\/(-40). Round i to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:07 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 6:34 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105347, 105353, 105363, 105377, 105395, 105417?\n\"Answer: 2*i**2 + 105345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 + 134 = -3*w - l, 0 = 2*w - 5*l - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.130609832\nAnswer: -0.65304916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuiyuuuuuuuyuuyv. What is prob of picking 1 u, 1 i, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*n + 139*n - 396. Let v = -79 - n. Suppose v*t - 258 = 18*t. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29447723674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00379631 to five decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc566 + 92?\nAnswer: -bc4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 83156 (b) -4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 3*t**3 + 155 - 299.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h - 7. Let p be 76\/10 - (-57)\/(-95). Let v(n) = -3*n - 2. Let k = -47 - -45. Calculate k*d(l) + p*v(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -90*k - 3. Let h(i) = 269*i + 10. Let x(n) = -4*h(n) - 11*u(n). Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.11 - -8.11. Let y = -0.01 - -3.01. What is the closest to -60 in 0.5, c, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/7))\/(m**(-8)*m))**(-2\/7))**(-17) assuming m is positive.\nAnswer: m**(1836\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-6)\/252). Let c = -12 + p. Suppose -c = -4*b + 3, 3*a - 864 = 3*b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -701\/19. What is the second smallest value in 0.4, 0, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1802, 1805, 1808, 1811?\n\"Answer: 3*f + 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2786, 2780, 2748, 2672, 2534, 2316?\n\"Answer: -3*r**3 + 5*r**2 + 2784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 2*f - 3. Suppose -4*l + 7 = 5*j, 4*l + 2 = -6*j + 4*j. Let x(n) = n**3 + 2*n + 4. Give j*x(q) + 4*w(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 2, y: 4, t: 1}. What is prob of sequence tu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 122f?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 29. Let q be 138\/v - ((-36)\/21 - -2). Solve -2*t + 2 = -q*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 + 44*r**2 + 92*r - 140 = 0. What is r?\nAnswer: -7, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001612725 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 97*i**2\/4 - 337*i - 35 = 0.\nAnswer: -10\/97, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 0*g**4 + 3*g**4)*(10*g - 33*g + 11*g)*(1 + 3 - 2).\nAnswer: -24*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 58. Let h be t(-26). Let l be 0*h\/(-4)*(-3)\/9. Let w be l - 0 - (30\/(-5) + -4). Solve -3*u = -2*f - 3*f + w, f - 10 = -u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(48)*4)\/((sqrt(180)\/sqrt(3))\/sqrt(10)) + -1.\nAnswer: 4 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4988798 - 2*j - 4988798.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-2*x + 2*x + 2*x) + 819*x + 450*x - 81*x.\nAnswer: 1190*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, s: 3, e: 9}. What is prob of sequence este?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/5 and -29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - (-67 + 65 - (-10 - -2))) + 18\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 3. Let h be r(2). Suppose 4*i = 21 - h. Find the second derivative of -12 + 12 + 3*f**3 - i*f + 3*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21565.10097 + 21565. Let a = -0.104 - p. Round a to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.14 (c) -17 (d) -2\/15 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 + 2. Let j be 189\/(-315) + (93\/5 - 0). Let m be (-9 - 1)*9\/j. What is the third smallest value in k, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Let i be (-28)\/45 - (-4)\/18. Let o = -5\/17 + 61\/34. Which is the nearest to i? (a) f (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisfiiuuuiuuius. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 87412 = 88139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d + 599. Let c be v(-30). Let q = 19 - 16. Let r(l) = 4*l - 4 + q - 5*l - l. Determine r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 28\/5, 2\/7, -3.3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42046 (base 9) in base 5?\nAnswer: -1341434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from marrreepryyyym?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 16*v**2 - v - 45. Give w(-16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4456\/(-5013))\/((-4)\/(-126))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - -5 - -5) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 101*b**2 + 4*b + 3. Let o be d(7). Let j = -21680 + o. What is j rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r)**13)**(-40) assuming r is positive.\nAnswer: r**1560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356198533?\nAnswer: 353, 1009061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65049*v - 65102*v = 954 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1205+-3028\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.0971, 0.5, -1\/5.\nAnswer: -0.3, -1\/5, -0.0971, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-252)\/8)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4842594l?\nAnswer: 484.2594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 18\/5, -0.1, -4\/5, 2\/25.\nAnswer: -4\/5, -0.1, 2\/25, 18\/5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + (79 - -67) + (54 - 1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 391 (c) 1\/2 (d) 0 (e) -2\/27 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1473364 + -4?\nAnswer: -1473368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**2 + 2*v**2 + 2*v**2)*(-6 - 30*v**2 - 5 + 4) to the form l*v**3 + o*v**4 + x*v**2 + b*v + q and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(125))**2.\nAnswer: -90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26112 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105\/2 - 18*z + 3\/2*z**2 = 0. Calculate z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -25.1079?\nAnswer: 31.1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*o - t + 10, 0 = -3*o + t + 1. Let p = 141 + -140. Is p bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131\/6845 or -1?\nAnswer: -131\/6845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1024\nAnswer: -3\/1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.38053l in millilitres?\nAnswer: 41380.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0 - 1\/70*s**7 - 1\/10*s**5 + 1\/20*s**6 + 1\/8*s**4 - 6*s**2 - 1\/10*s**3 + 1\/560*s**8 + 0*s. Factor r(b).\nAnswer: 3*(b - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14163781?\nAnswer: 14163781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, 5, 7, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -1265, -3872, -8857, -17012, -29129?\nAnswer: -46000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (236028\/(-15130))\/((-3)\/5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 6*i - i)*(4 + i - 4).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*v = -405*v + 142*v + 54098 - 10106 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1209 or -1208?\nAnswer: -1209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-42)) + 1*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1082 + 1081.9289. Let j = h - -0.071099589. What is j rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - r + 1)*(123 - 123 - 31*r)*(11 - 18 - 20 - 2)*(3*r + r - 6*r) to the form g + h*r**2 + f*r + a*r**3 and give a.\nAnswer: 1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 48*c - 836940. Does 260 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4229726 to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (364\/(-35) + 11))\/((-92)\/24380)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*m - 13 - 92, -5*k + 2*m = 219. Let a be 10\/k - 34\/9. Let i(s) = 5*s + 1. Let l(t) = t. Calculate a*l(c) + i(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19110.38 rounded to the nearest one hundred?\nAnswer: -19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418747 is divided by 16748.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 11 - 8)*(2 + 2*y - 2 + 2*y - 3*y - y + (11*y - 12*y + 25*y)*(4 - 1 + 2) + (-3 + 2 - 1)*(y + 3 - 3)).\nAnswer: 590*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 8 + (2 + 4)*-1 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 10*g**2 - 16*g + 8.\nAnswer: -2*(g - 2)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906957.2 centimeters to meters.\nAnswer: 9069.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3865*h + 1215. What is the units digit of r(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -34.29?\nAnswer: -34.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3 - 19671*o**2 - 29207328*o - 29187660 = 0.\nAnswer: -4286, -2270, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 101 and -25605.\nAnswer: -25504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -72910?\nAnswer: 72907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*z - 170 = 0, 0*z = u + 3*z - 85. Find the third derivative of -20*q**5 - 5*q**5 - 86*q**2 + u*q**2 wrt q.\nAnswer: -1500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbya when four letters picked without replacement from ibayy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 2, r: 3, u: 1, o: 1, x: 1}. Give prob of picking 1 h and 1 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33182*r**6*w**2 + 2*r**4*w**3 + 12*r**2*w + 22*r*w**3 - 49 wrt r?\nAnswer: 3981840*r**3*w**2 + 48*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*l - z, z - 6 = -3*l - z. Suppose o - l + 5 = 0. Let r be (3\/(2 + -5))\/o. Put 4\/3, -3, r in decreasing order.\nAnswer: 4\/3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 631, -3, 5, 3, -12, 2 in decreasing order.\nAnswer: 631, 5, 3, 2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2245)*(-14)\/4*(-57)\/133. What is the greatest common factor of o and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/30*d**5 + 1\/54*d**4 + 0 - 1\/189*d**7 + 0*d**2 + 9*d + 0*d**3 + 1\/45*d**6. Let z(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laalalaalaa. What is prob of sequence al?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/11, -0.4, 6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 218 + 109 + 109.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let r(m) = -13*m - 6. Let o(x) = -703*x - 323. Let l(d) = -6*o(d) + 323*r(d). What is v(l(p))?\nAnswer: 722*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/44 and -21\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043617411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 98 - 23 = 0. What is the remainder when 42 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-35)*(-147)\/84. Is 3 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 0.2 (c) 520880 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -238\/9, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26881538 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 15\/5)*308\/22. Calculate the greatest common factor of s and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141.3085 - 0.1485. Let k = -2.94 - v. Round k to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16034888?\nAnswer: 2, 73, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 28*u - 110. What is the least common multiple of g(22) and 42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*i - 6. Suppose -5*f + w = -27, -5*f + 4*f = i*w - 12. Find the second derivative of 63*h**3 - f*h**4 + 21*h - 63*h**3 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -65. Suppose -15*a - m = -20*a. Suppose -y + c + 16 = -9, -a*c + 87 = 3*y. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 174 and 218 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -41. What is the remainder when a is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 631739892.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**7\/105 - b**6\/60 + b**5\/30 + b**4\/12 + 95*b**2. Determine o, given that c(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6869, -6875, -6885, -6899?\nAnswer: -6917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 0*x - 77 = 0. Suppose i - 15 = -4*i. Suppose 0 = 2*r - i*r + 32. Calculate the remainder when r is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 2*i - 4*i + 2*i - 2*i - i + 3*i - i + 2*i + (-4*i + 2*i + i)*(-3 - 1 + 3) in the form c*i + h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 25*d**2 - 1927*d - 420. Determine w(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + (-495)\/54 + (-5161)\/(-78). Solve 58 = 8*c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12118 and 1314.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/19 - 50*j\/19 + 232\/19 = 0.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99695 and 556565.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and (1495\/69)\/((-9)\/(-81)).\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 320 = -z - 1696, 3*z + 2016 = 3*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4\/4 + n**3\/3 - n**2\/2 - n - 1. Let m be o(0). Is m*((0 - 1) + -14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2853653.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169 and 4.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, -4, 15936 in descending order.\nAnswer: 15936, 0.5, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58802036 + 19600776 + 19600629 - 3*d**2 + 19600631.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(136)*1)\/((-1*sqrt(64))\/sqrt(8)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 22. Let t(s) = -2*s**3 + 4*s**2 - 2*s + 6. Let c be t(m). Solve -l - 4*d + 20 = 0, -d - 12 = -c*l - 2*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-1 + -9). Let o be (2 - (-1 - -4)) + t. Let s = 15 - o. Which is greater: s or 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.6884km?\nAnswer: 468840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:35 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 4*n + 5. Let d be l(2). Solve 5 = -4*p + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n + 55. Let h(s) = -1. Let u(m) = 4*h(m) - q(m). Does 27 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 9*p + j, 0 = 4*p + 3*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let g(z) = -10*z - 5*z + 7*z. What is -9*c(f) + 2*g(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-8.25.\nAnswer: -2.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 498*f + 5. Let j be s(1). Let d = 411 + j. What are the prime factors of d?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**3 + 31*s**3 - 62*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.033 (b) 4 (c) -1\/2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Suppose 10*j + 276 = 14*j. Suppose -j = -u - l. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 8)*(-6*t + 2*t + 3*t) - 829 - 20*t + 829.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745 at most 4713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48834 and 3.\nAnswer: -146502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/15*1). Let x(y) = -y + 3 + 0*y - 4 + u*y. Let r(c) = -17*c + 4. What is -2*r(p) - 9*x(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 152 = 143*c - 73*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 178056, 178083, 178112, 178149, 178200, 178271, 178368?\n\"Answer: f**3 - 5*f**2 + 35*f + 178025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 225?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -2\/5, 64, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/5 + 1928*z**4\/5 - 72366*z**3\/5 + 199792*z**2\/5 + 7688*z\/5 - 53280 = 0. Calculate z.\nAnswer: -1, 2, 36, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:56 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1522*f + 1 - 3200*f - 2 + 4723*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukbsbuseuuke. Give prob of sequence keb.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84561 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 m(a) = -6212490*a - 32970. Let s(l) = 4710*l + 25. What is 5*m(u) + 6594*s(u)?\nAnswer: -4710*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s + 1. Let m be 1*-5*-3*(-26)\/(-78). Solve m*a = -3 - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(-6*(sqrt(1053) - sqrt(1053)*2) - (0 + sqrt(26)\/sqrt(32))).\nAnswer: 1290*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2\/7, -17, 6.124?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2318358259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32479 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -14949, -1 in descending order.\nAnswer: 0.1, -1, -14949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -0.29, -2\/13?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 351*r - 8150.\nAnswer: -(r - 326)*(r - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t. Suppose 0 = 5*i - 2 - 3. What is g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 12*n**2 + 8*n + 34. What is w(-7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 - 57*m**3 + 15*m**3 - 33*m**3 - 9*m**3.\nAnswer: -101*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 818403 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -1, -2, -3 in increasing order.\nAnswer: -8, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 3 = -12*p - 2*r, -4*r = -8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -253*x. Let i(k) = 60*k. Let l(c) = b(c) + 4*i(c). Let v(u) = 51*u**2. What is l(v(r))?\nAnswer: -663*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 5110063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62935 and 25?\nAnswer: 314675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -11550, 15, -5.\nAnswer: -11550, -5, -3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w - 111*w + w + 2*w.\nAnswer: -152*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1120 and 8?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/10 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121534+0.5\nAnswer: -121533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*n + 103*n. Solve 24*o - 23*o + 2 = n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 607 from -1.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9264, -9167, -9062, -8943, -8804, -8639, -8442, -8207?\nAnswer: -7928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*x - 4*r + 966, -5*r = -20. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*24\/128?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {f: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r. Let u be 12\/(-16) - (-77)\/28. Let v(q) = 10*q. Determine u*v(x) + 7*g(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 12. Suppose c - f*k = -3, 4*c - 3*c + 30 = -4*k. Let i = c - -32. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u + 2. Let h be f(0). Suppose 25 = h*a + 35. Calculate the remainder when (a + 0 + -41)*2\/(-4) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -4. Let r = u + -11. Solve r = -b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.185 (b) 0.4 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - k**2 - 3*k + (5 - 1 - 2)*(-2*k**2 + 2*k**2 - 2*k**2) - 1 + 1 + 3*k**2 - 377*k**2 - 482*k - 305*k**2 + 483*k to b*k + l*k**2 + y and give l.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4922146609 to the nearest integer?\nAnswer: 70158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 109? (a) -1\/4 (b) 17 (c) -2\/7 (d) 1\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.87 + 23.7?\nAnswer: -47.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 113. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356020?\nAnswer: 2, 5, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.1. Let m be -22*(-64)\/176 - (-24)\/(-27)*(-369)\/(-42). Which is the smallest value? (a) i (b) m (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b**2)*(0 + 0 + 2) + 10*b**2 + 6*b**2 - 7*b**2 + (-4 + b + 4)*(0 - 2*b + 0) - 3*b - b**2 + 3*b - 13*b**2 - 20*b**2 - 23*b**2.\nAnswer: -46*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5 + 8. Let n be c\/4 + 3191*(-267)\/12. Round n to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.67 and -4074?\nAnswer: 4073.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and 0.545.\nAnswer: -18.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 824403 = -6*v + 9*v, -4*v - 2*m = -1099194. Suppose 87204 + v = -2*h. Round h to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 18. Which is the second biggest value? (a) 2\/11 (b) r (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**7\/6300 + q**6\/900 - q**5\/300 + q**4\/6 - 5*q. Let p(j) be the third derivative of v(j). Let p(s) = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Let v be (-45)\/(-15) - (1 - -2). Solve l = -a - v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179468033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 - 27 + 6*j - 5*j**2 + 26. What is b(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2. Let a(y) = 28*y. Calculate k(a(n)).\nAnswer: -5488*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 3*x - 3*x)*(3*x - x**2 - 3*x) + 3*x**4 + 2 + 2 + 6 in the form y + r*x + p*x**3 + j*x**2 + a*x**4 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -11 + 12\/1. Suppose 20 = -4*b + m*b. Solve -2*c + b = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -408*b - 1220. Calculate f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.39*-0.1\nAnswer: 0.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:21 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (11 + (7 + -8 + -8 - 5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.702um in centimeters?\nAnswer: 0.0236702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -27. Let v be a*1*24\/60. What is the third derivative of 11*j**3 + 4*j**2 - 12*j**2 - v*j**3 wrt j?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14994, -29975, -44956, -59937, -74918?\nAnswer: -89899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -128.8 from -26952.\nAnswer: -26823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 74, 119, 180, 263, 374?\n\"Answer: c**3 - c**2 + 31*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 699 + 80*z - 699 to q + t*z and give t.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466361 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*h**3 + 615430*h**2 - 175840*h = 0. Calculate h.\nAnswer: -17584, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -89*k**2 + 3276*k - 61. Determine r(36).\nAnswer: 2531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + sqrt(3200)*-2 + sqrt(3200))**2 + (sqrt(72) - ((sqrt(72) + -1 - sqrt(72)) + 4)).\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((3*(3 + sqrt(684) - sqrt(684)) + -2 + sqrt(684) + -4)*6)**2.\nAnswer: 1296*sqrt(19) + 24946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**2 + 18*j**2 + 5*j**2 + 153 - 153.\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14213 - 325?\nAnswer: 13666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16436, -33294, -50152?\nAnswer: -67010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919534.\nAnswer: 2, 7, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 14 - (1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.9 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 671*u - 338*u - 365*u to l*u + n and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/4 + 69*z**4\/4 - 4433*z**3\/4 + 43983*z**2\/4 + 30079*z - 39984 = 0.\nAnswer: -112, -3, 1, 17, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -13041580\nAnswer: -1\/6520790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 443*w - 79. Calculate the remainder when z(38) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than or equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 - 167. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 21*j**2 - 58*j - 68. What is g(18)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007755093 rounded to 7 dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 divided by 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -577 - -653. Solve 5*f - n = 4*i - 44, f - i = 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -1\/11, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275309966.\nAnswer: 2, 1549, 88867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 48 = 2*b. Let f = 23 + -44. Calculate the remainder when (-18)\/f*(-7)\/(-2) - -25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267319.\nAnswer: 13, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**2*u**3 - o**2*x + 2*o**2 - 12*o*u**3*x - o*x with respect to x.\nAnswer: -o**2 - 12*o*u**3 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -23. Let b be 32 - (3 + -5 + j). What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121222 (base 3) to base 13.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s**3 - 3*s**2 + 14*s - 37. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142970 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -332*c**2. Let u(w) = -3*w. What is a(u(g))?\nAnswer: -2988*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - q - 9, -2*p + 16 = -4*q. Which is the second smallest value? (a) -16 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22 + 5*b - 21 + 44. Let u(y) = y - 1. Determine -g(a) + u(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 40 + 56 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12965, 12966, 12967, 12968, 12969?\nAnswer: 12970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 8)*1*-2. Let l be (x\/(-5))\/(4 - 5). Which is the third biggest value? (a) -1\/4 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/216)\/(2\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 3*z**4 - 7*z**4 + (2 - 2 + 1)*(-2*z**3 - 2*z**4 + 2*z**3).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 575916*n - 27639936588.\nAnswer: -3*(n + 95986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 83 (b) 4\/5 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -36605*g + 36595*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19558*a**2 - 13 + 9782*a**2 - 6 + 9773*a**2.\nAnswer: -3*a**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 + 2 = 0. Let o be l\/4 + 351\/6. Suppose -3*w + o - 13 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141276 is divided by 2943?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*c - q, 5*c + 176*q = 175*q - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 4*i**3 - i**3)*(-30 + 9*i**2 + 30) + i**4 + i**5 - i**4.\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 658 + 530?\nAnswer: b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512817715 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 10*y**2 - 7*y - 2. Let x be w(-7). Suppose -z - 13*z = 2352. Let d = z + x. Is d a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/((-1152)\/(-252))*16\/1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 7, 6\/41011, -1\/5.\nAnswer: -5, -1\/5, 6\/41011, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.041 + -2.959. Put -0.04, 2, n, -2 in descending order.\nAnswer: 2, -0.04, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 686 = -1907. Suppose -6*w - g = -1811. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -0.3, -1326\/5, 0.3, -2, 3\/8?\nAnswer: -1326\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b. Let u(k) = 25*k. Calculate u(t(r)).\nAnswer: 450*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/288 and -7\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758818 at most as big as 1758823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 + 9*f - 7. Let v be c(7). Suppose a + 2*i = 20, -4*a + i - 60 = -v*a. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -49 (b) 2 (c) 1\/7 (d) 0.2 (e) 0.4 (f) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {y: 1, q: 6, b: 7, a: 2, c: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = 3*f + 2*f. Suppose -2*s - 21 = -f. Let n be 8\/(-20) - (-6)\/s. What is the third smallest value in -3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25041 (base 11) to base 7\nAnswer: -206622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-14))\/(63\/(-294)). Put 4, 0, n in ascending order.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*a**2*j*w + 18*a**2*j + 4440*a**2*w - 54*a**2 - 35*a*j - a - 3*j + 7 wrt w?\nAnswer: -269*a**2*j + 4440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-216)*(-76)\/(-2) - (6 - (-8)\/(-8))\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/5, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**5 + z**4 - 1. Let k(f) = -69*f**4 - 120*f**3 + 6*f**2 + 123*f + 63. Let u(h) = -k(h) - 3*o(h). Suppose u(l) = 0. Calculate l.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/19 - -1)\/(14282\/407037).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, s: 3, m: 2, j: 4, f: 5}. Give prob of sequence jjqq.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let a(g) = z*g + 0*g + 9*g - 10 - g**2 - 2*g. Does 18 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/27*-18*(231\/4)\/21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.4 + 3.6. Let o = 51 - h. Let l = 0.62 - 0.42. What is the smallest value in -0.02, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u - 2 = 0. Let d(p) = p**2 + 3*p + 5. Let i be d(u). Solve 4*y = i*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let d be (i - 1) + (-422)\/10. Let f = -124\/3 - d. Sort f, -5, 2 in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30657721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 64352.52 nanoseconds?\nAnswer: 0.00006435252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose y = 2*b - 3*b - 4, -3*b - y = 8. Which is smaller: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3379 + -3?\nAnswer: -3382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - a = -2, p - 2*p = 4*a - 8. Suppose 6*g + 330 + 66 = p. Let b = -59 - g. Let t(f) = -f**2 + 7*f - 10. Give t(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0619 and -3.19701.\nAnswer: -3.13511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287233652.\nAnswer: 2, 137, 524149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4161600 and 612?\nAnswer: 4161600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/7 - 465*b**2\/7 - 2400*b\/7 = 0. What is b?\nAnswer: -5, 0, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46642.\nAnswer: 2, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61033838.000854 + 61034089. Let b = -251 + r. What is b rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3230118 is divided by 807257.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*x - 762, 5*m = -2*x + 6 + 364. Let f = -130 + x. Calculate the remainder when f is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-40) + 129\/6. Let k be (68\/(-16))\/((-2)\/(-8)). Let x = j + k. Solve 0 = 2*l - 5*l - m + 3, x*m + 15 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*f - 4*n - 115, -4*n - 100 = -2*f. Let z = f - -20. Suppose 5*p - 13*p + z = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 2*f**2 - 1. Let j be a(-1). Let c = 40.621 - 41. Let u = 0.021 - c. What is the third smallest value in 2\/15, j, u, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 2*u**5 - 4*u**3 - 92 + 90 - 2*u**4 + 2*u + 0*u**3.\nAnswer: 2*(u - 1)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20*(-2 - -4)\/4. Suppose r - 2*m + 1 = 11, -4 = -4*m. Let o = p + r. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + 2*v**3)*(-57*v - 57*v + 51 + 111*v).\nAnswer: -6*v**4 + 102*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/9*27\/90\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -182*x**2 - 1 + 181*x**2 + 8 - 1 + 6. Give n(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**2 + 0*r + 0 - 3\/8*r**4 - 7\/6*r**3. Find the first derivative of h(g) wrt g.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -4. Let j = -72 + 647\/9. Let y = -5.06 + 0.06. What is the closest to -1 in u, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453257 is divided by 151041?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2890184, 5780378, 8670572, 11560766?\nAnswer: 14450960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154650414 is divided by 232557.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-21) - 178\/(-14). Calculate the greatest common divisor of z and 520.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = -119*r + 63801 - 2313. What is the highest common factor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7682\/18 + (-98)\/(-441)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from seesvj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:37 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -23, -0.02, 1\/182?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u = -478 + 92 - 251 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3450257 divided by -491\nAnswer: 7027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4941*t**2. Let l(s) = 38*s. Give l(m(p)).\nAnswer: -187758*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by 88.\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m**2 - 2*m - 1. Let p(f) = -f**3 - 11*f**2 - 4. Let s be p(-11). Let n be 0 + 1 - 1*-2. Let w = n + s. Give z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*b**3*m - 1227*b**3 + 308*b**2 - 7*m wrt b?\nAnswer: -642*m - 7362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x**2 + 4369*x - 222. Calculate f(273).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(7\/3)*t*t**(-1\/13)*t)**(-13\/6))**(-14\/3))**(2\/7) assuming t is positive.\nAnswer: t**(410\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(5 - 13\/3). Suppose -124 = -4*k + 692. Let r = 1834\/9 - k. Which is the biggest value? (a) -0.3 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2 - ((-288)\/8)\/1. Let z be (1 - -2) + 8\/((-112)\/s). Let w be (-1 - 5)*2\/(-3). What is the closest to z in -0.3, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3026 take away 76.901302?\nAnswer: -3102.901302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -33. Suppose -k*d = 3*d - 1266. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*u - 49, 100*u - 74*u = 5*s - 80*u + 465 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) 2\/13 (b) 0.08 (c) 3\/5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -74. What is the first derivative of 28 - 92*z**3 - 39 - 55*z**3 - n wrt z?\nAnswer: -441*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 - 2*w**3 + 76 - 111 + 5*w**4 + 34 + 18*w - w to the form n*w**3 + l + y*w + z*w**4 + g*w**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -72. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 40720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-96)*(3 + 1) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9550 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8964 = 13*s - 8899 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(456) + sqrt(456) + (sqrt(456)*1 - sqrt(456)))\/sqrt(8))\/(sqrt(36)\/(-2*sqrt(12) + sqrt(12))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 7*h + 3. Let n be c(7). Suppose 148673 = -2*z - 5*l + 53194, -n*z = 3*l + 143205. Let k = -17732 - z. What is k rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-6)*1\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.82828 rounded to one decimal place?\nAnswer: 743.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 16857?\nAnswer: -2\/16857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 309435 or 309345?\nAnswer: 309345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 40*h - 39*h - 4 + 18*h. Is t(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1224 by 2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4\/7, -0.0079?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262529*b + 206552 wrt b.\nAnswer: 262529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286237320*s + 165035653 with respect to s.\nAnswer: 286237320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94220 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30832880 is divided by 298.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 4, 2, -3485, 82, -1 in increasing order.\nAnswer: -3485, -5, -4, -1, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d - 2. Let g(o) = 8*o + 18. Let z(i) = 7*i + 23. Let s(r) = -4*g(r) + 3*z(r). Give -7*c(j) + 5*s(j).\nAnswer: -6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = r + 42, r - j = 4*r + 94. Round r to 0 dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010577 to seven decimal places.\nAnswer: 0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.77712834 and -1.1705?\nAnswer: 0.39337166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3)*((-13743)\/351 + 39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9371, -13124, -11263, -3788, 9301, 28004, 52321?\nAnswer: 82252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m = -174*m - 71*m + 4816 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*l**2 + (l + 3*l - 3*l)*(-3 + 3 - 2*l) + l**2 + 0 + 0 + 13929358 - 13929358 + 5029*l**2.\nAnswer: 5026*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c - 727 - 535 = 0, -5*j + c - 1577 = 0. Let r = j + 484. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*z + 24*z - 145*z - 16*z - 86*z + 1 - 97*z.\nAnswer: -225*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 4*m**2 - 1\/300*m**6 + 3 - 1\/12*m**4 + 0*m**3 + 0*m + 1\/25*m**5. What is w in u(w) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-5 + 7)*(-14)\/(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 2, m: 1, z: 1, r: 3, u: 4}. What is prob of picking 3 r and 1 q?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 2*s**2 + (3*s**2 - s**2 - s**2)*(4 - 4 + 4))*(2 + 6 - 5)*(1 - 1 - 2)*(-3 + 1 + 3).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18008 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let i(f) = 84*f - 72. Give 72*a(y) + i(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 355?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:34 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 6*f - 1. Let n be z(5). Suppose n*w = -8 + 68. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 630.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_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: ((-12)\/75)\/((-78)\/195)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from nnzkezanzoozz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 1:38 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*13\/(-26). Suppose 0*g = 4*g. Suppose -3*h = -g*h - 2*a + 12, -3 = -2*h + 5*a. What is the biggest value in h, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhf. Give prob of sequence hhf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) 1\/151 (c) -0.14 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 3:57 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (1 + -3)) + -2. Let y = a - -3. Suppose y = -0*f + f - 1. Let k(m) = -m + 1. Give k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 824215 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 153793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (8888*s**2 - 19457*s**2 + 8913*s**2)*((-3 - 3 + 4)*(-2*s - 2 + 2) - 1 + 2*s + 1) as f*s**2 + q*s**3 + b + y*s and give q.\nAnswer: -9936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + b?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -485615 + -2107?\nAnswer: -487723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*((-945)\/918)\/(-7)*(-12)\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/668 and 101\/18.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7008 and 391584?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 61, 42, 17, -14, -51?\n\"Answer: -3*y**2 - 4*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.63768622998 take away -2?\nAnswer: 4.63768622998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9367.99l to millilitres.\nAnswer: 9367990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15684 + 15690. Solve 11*f = d*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + 5 + sqrt(425) + 1 + sqrt(425)*-2*-2)*-6)**2.\nAnswer: -1800*sqrt(17) + 382536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*r**4 + 1300*r**3 - 13716*r**2 + 59292*r - 81648.\nAnswer: -4*(r - 9)**3*(11*r - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0573 + -1362903.\nAnswer: -1362903.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111 (base 2) to base 9.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5532*r + 4 + 179*r - 4.\nAnswer: -5353*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1642, 1651, 1660, 1669?\n\"Answer: 9*g + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55621 = 10*u + 11711. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/35*(-7)\/2 - 40\/(72800\/(-3614))\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-729)\/(-162) + (-5)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 2*d + 98, -5*r = -4*d - 462. What is the tens digit of (-4)\/(-6) - r\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3969*x - 3968*x = 2*m - 2, 3 = 5*m - 3*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 6 - (-10 - 3)) + -7 + 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(54\/81)\/((-48)\/(-450))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -227\/6 - -38. Put p, 0, -1\/4 in ascending order.\nAnswer: -1\/4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25 - (0 + 0\/2). Suppose c - 6*c - h = 3*i, -5 = 3*i + c. What is the second derivative of i*u**2 - 2*u**2 - u - 2*u**2 + 5*u**2 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*n - 150*n - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 21*g = 184. Let a(v) = -2*v**2 - 46*v + 3. Let l be a(g). Put 27, 4, l in decreasing order.\nAnswer: 27, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 25. What is the remainder when (3 + -3)\/(-6) - (-254)\/z is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 28*x + 9. Let f be t(-2). Let u = f + 158. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 9*p - 14. Let s be (2 - 1)*-3*-1. What is the remainder when i(12) is divided by 3\/(-9) - (-25)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 0.3. Let l = 6 + m. Let u = -6 - -6.1. What is the closest to u in 1\/8, 3\/2, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 93.8. Sort g, -0.1, 2.\nAnswer: g, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171056830 to the nearest integer?\nAnswer: 13079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-14)*(-20580)\/(-882).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763142 and 2336?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 40*n = 0. Solve b - q = -3, n = -2*b + 3*b - 2*q + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-15) - (-1196)\/20.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:31 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 245?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9768 and 792?\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/225*114\/133.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.898 plus -18.6?\nAnswer: -30.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42334, -84753, -127262, -169861, -212550, -255329, -298198?\nAnswer: -341157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -51, -41, -17, 27?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351 + 10?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-63)\/(-1)*(-20)\/(-15). Let q be (-8)\/(621\/(-90) + 7). Let v = q + n. What is the least common multiple of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 + 0*y**3 + y**4 - 6*y**3 - 19*y**4 + 6*y**4 - y**4 + (2*y**3 + 3*y - 3*y)*(y + 0 + 0).\nAnswer: -14*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 125. Suppose 2*y = 4*x - 44, 4*x - u = -0*y - y. What is the remainder when 33 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(831\/(-5540)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-153)\/6. Let f be -2 - -1*x*1. What is the third derivative of 25*t**2 - t**6 - 3*t**6 - f*t**2 wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*f + 6, -x + 2*f + 5 = 1. Suppose -v + 2 - 16 = -4*j, -v + 5*j - 17 = x. Which is smaller: v or -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11515876 divided by -3?\nAnswer: -11515876\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7. Suppose -51*d = -56*d - 65. Let j = d + 18. Let w(p) be the second derivative of -2*p**2 + p. Calculate j*w(n) + 3*z(n).\nAnswer: -3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 14*h**2 - 13*h - 3. Let q be v(13). Let f(t) = -23*t - 7. List the prime factors of f(q).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from ggftg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*m + 125, 2*l + 0*m = 4*m + 24. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -285*h**5 + 3*h**4 - 3*h**3 - 226*h**2. Let t(j) = j**5 - j**4 + j**3 + j**2. Let n(v) = 3*t(v) + x(v). What is the third derivative of n(r) wrt r?\nAnswer: -16920*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -95*k - 307. List the prime factors of p(-22).\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*u + m + 2, 5*u + 5 = m. Let s = -1 + 5. Put u, s, -2, -3 in ascending order.\nAnswer: -3, -2, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719498 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: Let v(q) be the first derivative of 3335*q**6\/3 - 2*q**3\/3 - q**2\/2 + 135*q + 9758. Find the third derivative of v(c) wrt c.\nAnswer: 400200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -553?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41.81 + 42. Let k = h - 0.1891. What is k rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188270 or -188269?\nAnswer: -188270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26 + 8*p**2 - 68*p + 35*p - 16*p. Let z(y) = -3*y**2 + 17*y - 9. Let h(b) = 4*l(b) + 11*z(b). Calculate h(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 7. Let r be j(6). Let d = 39\/232 - -6\/29. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + (-15 - -18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 7168\/160 + (-4)\/5?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2687596, -5375241, -8062886, -10750531, -13438176, -16125821?\nAnswer: -18813466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 49*l**4\/2 - 2*l**3\/3 + l**2 - l + 8. What is the units digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*f**2 + 248*f**2 + 502*f**2.\nAnswer: 657*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 - 56*x**2\/3 - 109*x\/3 - 18.\nAnswer: -(x + 1)**2*(x + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**2 + 2*p. Let o(c) = -c. Let l(u) = -m(u) - 2*o(u). Let n(a) = -6*a. What is l(n(q))?\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 21 = -3*j + 2*m, -5*m - 8 = 4*j. Suppose o = j*f - 759, 376 = 2*f + 2*o - 122. What is the remainder when f is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/5 + 5*k**4\/3 - 16*k**3\/3 + 8*k**2 + 8*k. Determine w so that u(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 6*o - 7. Let l be q(6). Let i(z) = z**2 + 0*z**2 + 10 - 24*z + 30*z + 0. What is the remainder when 134 is divided by i(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/12 - j**3\/3 + j**2 - j. Let n(r) = r**2 - 20*r + 40. Let s be n(2). Let a be z(s). Solve 2*b = 4*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2\/33*j**3 - 2 + 18\/11*j - 6\/11*j**2. Factor a(y).\nAnswer: 2*(y - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 - 8*w - 5. Let b be c(-5). Let f = b + 64. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 1 + 1)*(4*q + 4*q - 6*q) + 10 - 10 - 6*q**2 + (3 - 10 - 10)*(-2*q**2 + q**2 - q**2) - 19*q - 6*q**2 + 19*q to o*q + z + n*q**2 and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:58 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*p + 63*p - 184*p + 1 + 54*p - 1.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53904 is divided by 534?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 1, 23\/3, -139, 5?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w**3 + w**2 + 119*w - 118. Calculate p(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032448817 rounded to four dps?\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -2. Let b = 36047 + -36043. Solve 0 = 3*d - t, 3*r + d + b - 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180 + -182)\/(0\/(-2) - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4\/7 + 321*z**3\/7 + 8619*z**2\/7 - 4929*z\/7 - 50562 = 0.\nAnswer: -53, -7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 - (2 - 2). Let p = -12 + 9. What is the third biggest value in -1, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = t + 7*t. Suppose -2*r = t + 5. Let n = -89 + 54. Which is greater: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.5 (c) 2\/43 (d) 1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3 + 843064*q**2 - 3372224*q = 0.\nAnswer: 0, 4, 421528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2578*p - 7425. What is the hundreds digit of n(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130275 and 3240.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 + -112. Let b(k) = -k + 10. Let g be b(-3). What is the greatest common divisor of z and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 23. Suppose 2*f + 23 = 4*q + 3, -q - 2*f + 10 = 0. Let z be ((-5)\/2)\/(q\/(-12)). Let a be g(z). What is the highest common divisor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 6*f - 18, -1333*f + 1326*f + 65 = -5*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/636776 and 67\/272904.\nAnswer: 1910328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + d - 1. Let k(w) = -6*w**3 - 15*w**2 + 4*w - 4. Let t(s) = 11*i(s) - 2*k(s). Let j be t(3). Solve -j*z + 6 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125018256 divided by -41672752?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 8. Determine z(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 2416\/(-120) - (829\/255 - 3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 - 104*f**4 - 964*f**3 - 3680*f**2 - 4864*f - 2048 = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21375629 to the nearest integer?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from {t: 1, y: 2, q: 1, w: 1, s: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33281, 133195, 299719, 532853, 832597?\nAnswer: 1198951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 + -107.94. Let h = 0.06 - y. Let o = -0.7 - -1. Which is the smallest value? (a) o (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1233334*y + 4. Suppose -5*q + g + 32 = -0*q, -5*g = 3*q - 8. Let l be a(q). Round l to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*x**2 + 65*x**2 - 10*x**2)*(-5*x**2 + 7*x**2 + x**2).\nAnswer: 381*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487942023?\nAnswer: 3, 29, 113, 49633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4698 + 4908 + 1400 + 13070 - 4643)*(2*i**2 - 2*i**2 + i**4).\nAnswer: 19433*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 0 + -3 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 58 = 9*f - 32 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*b**3 - 156*b**2 - 907*b - 494*b**3 + 157*b**2 wrt b.\nAnswer: -2226*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(((-3)\/(-6))\/(-1)). Suppose x = 5*c - 20. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445 by 2.\nAnswer: -445\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.227 * 227\nAnswer: 51.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 4*z + z + 3*z + 1624*z**2.\nAnswer: 1624*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107.720882 - 0.260118. Let x = u - -108. What is x rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -1012?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f, 2*f + 8 = l - 34. Suppose 78 = 5*w + 4*s, 32 = 3*w + 2*s - 16. What is the remainder when l is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (-11 + 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1667, 163, -1341, -2845?\n\"Answer: -1504*h + 3171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*w - 24, 0*v - v + 3 = -w. Let l be 2\/(1 + (20\/8)\/(-5)). Sort w, l, 5 in decreasing order.\nAnswer: 5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102162.\nAnswer: 2, 3, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14 and 103\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-15) + 8\/(-20))*272\/(-1360).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*i - 20, 0*h - 14 = -4*i + h. Solve i*u = -9 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -16, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10.8. Let i = -0.365857 - 0.434158. Let n = i - l. What is n rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 47 - 16*n - 70*n - 60 - 62 to the form c*n + t and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2200*j**3 + 4395*j**3 - 2190*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -853838 - -4269192\/5. Solve 153\/5*h**2 - 108\/5 - l*h**5 - 9\/5*h**4 + 23\/5*h**3 + 27*h = 0.\nAnswer: -3, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12832686941 minus 64?\nAnswer: -12832687005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 310*a**2 + 11*a - 10. List the prime factors of t(1).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 17 = d, -2*p - 5*d + 16 = 0. List the prime factors of ((-2)\/p)\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k = 32*k + 4*k - 1560. Solve k*d - 59 + 33 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*q + 13. Suppose -4*u - 37 = -2*j - q, -4*j + 2*u + 70 = 0. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and 7.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let k(f) = 2*f. Let m(l) = 2*l - 39. Let z(p) = 30*p - 545. Let n(i) = 55*m(i) - 4*z(i). Let c(t) = 6*k(t) + n(t). Calculate q(c(x)).\nAnswer: 2*x + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10484648 or -10484633?\nAnswer: -10484633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272 or -223?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1093.00000009 + -1093. What is x rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002693486 to 6 dps.\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus 57?\nAnswer: -57.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 3*b**2 - 97 + 27 - 2*b to the form m*b**2 + t + s*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w + 33. Let f = -15 + w. Suppose 0 = t + 3*t - 8. Sort t, -5, f in increasing order.\nAnswer: -5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*b - z, -2*b = 2*b - 5*z - 117. Solve b = -u - 5*p + 7, -4*u = 2*p + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i**1\/i)))\/(i\/(i*i\/i**(-3))))\/((i*i**(2\/15))\/((i**(2\/3)*i)\/i)))**(-2\/63))**(-25) assuming i is positive.\nAnswer: i**(530\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 18*j - 18*j + j**3 + j**4 + 2*j**4 to the form g*j + r*j**4 + n + b*j**3 + s*j**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -1\/115, -86, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/3))**(-10)*g**31*g*g**(-43)*g assuming g is positive.\nAnswer: g**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 37229*y - 36745019. What is g(987)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and (27\/(-10))\/(16\/10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.3467ng to tonnes.\nAnswer: 0.0000000000004013467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (17 + (1 - 9) + -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 2*a + 4. Let h be 6\/4*12\/9. Let d be 3*((-3)\/(-1) - h). Let c be v(d). Is c less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 15. Let a be q(0). Let y be (-78)\/a - (-2)\/(-10). Solve y*o + 14 = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*n + 4*v + v, -3*v + 16 = 4*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/2)\/((-53)\/(-1378)). Let v be p\/19 + (-84)\/(-798). Calculate the highest common factor of v and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -411*s - 2447. Give w(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in 0.1, -35414, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let s = o + 1. Let k(n) = n**2 - 2*n + s*n. Let c(b) = -2*b**2. Calculate k(c(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -38.0000374. What is c rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/100*(13 + -11). Suppose -27*f = -24*f - 12. Solve 0*c + g*c**3 - 1\/2*c**5 - c**2 + c**f + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 5. Let c(k) be the third derivative of -k**4\/8 + k**2. Calculate c(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210201 + -11100?\nAnswer: 12122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Let t = y + 5. Solve -4*c + 4*n = -t*c - 8, c - 7 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 6. Let x be m(4). Suppose -j + 6 = 2*j. Suppose 5*u + 3 = j*u. Sort -4, x, u.\nAnswer: -4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2539737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 5. Let p be s(7). Let w = p - 20. Let q = 9 - w. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 411637 + 4764?\nAnswer: 416623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 12}. What is prob of sequence dddd?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:45 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3*o**5\/10 + 9*o**4\/4 + 9*o**3\/2 - 21*o**2\/2 + 1553. Find b such that v(b) = 0.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**7\/70 + 13*r**6\/30 + 11*r**4\/12 + 2318*r**3\/3 + 4818*r**2. Differentiate j(u) with respect to u.\nAnswer: -12*u**3 + 156*u**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57740 is divided by 19228?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -0.3 (c) 1\/6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -2*t, -2*t + 26*q + 8 = 24*q. Solve 0 = x + 4*z - 16, t*z = 5*x + 3*z - 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 2*i - 12 + 5*i**2 - 22*i**2 to the form y*i + n + w*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:19 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let i(k) = -3 - 1 + 5 + 4*k - 3. What is i(a(u))?\nAnswer: 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p**2 + 2*p**3 + 0*p**3 - 280*p**2.\nAnswer: 2*p**3 - 221*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 - -324. Let o be 9*38*x*(-9)\/(-180). Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.488 + 4.488. Let z = 1.3 - 1.3. What is the nearest to -0.1 in p, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and 159395\/39830 - (-3 + (-2 - -9)).\nAnswer: 7966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -2*y - 102, -w - 53*y + 9 = -54*y for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -50733\nAnswer: 28\/50733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-70) - 17\/5. Let j = 0.2 - -0.3. Which is the nearest to 3\/2? (a) g (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 355.81749 to 1 dp.\nAnswer: 355.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 327 + -70c90?\nAnswer: -70969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15370.8 times 0.2174?\nAnswer: 3341.61192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*sqrt(28) + 1*(sqrt(63) - sqrt(7))))**2 + 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or -0.01362674?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*4\/(-16 - -4). Which is the closest to n? (a) -2\/9 (b) -1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(80) - sqrt(80))*-5)\/(2*(1*sqrt(8) + sqrt(8) - sqrt(8))))\/((sqrt(5) + 1*sqrt(80))*1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 144 - 159 - 2*m**2 + m**3 + m - 17*m**2. Let s be 1\/((-117)\/(-57) - 2). Calculate the least common multiple of 2 and a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 259.4141 millennia?\nAnswer: 25941.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-25))\/(28\/70)*2\/4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*l + 14*l**2 - 3*l**2 - 1 - 17*l**2 + 0 as s*l + o + j*l**2 and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73670629*k**2 - 35526*k + 614 wrt k.\nAnswer: -147341258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 583, 588, 595, 604?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10716, 21441, 32178, 42933, 53712, 64521, 75366, 86253?\nAnswer: 97188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 70. Solve s + 5*k = -g, k = 5*s - 13 - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 165 - 37 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2 + 65\/25. Which is the closest to 0.01? (a) m (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1*1)\/((-6)\/(-18)). Suppose -3*w + 584 = 2*w - a*k, -2*w = 5*k - 246. Suppose -x = -0*x - w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -2\/11, -0.3, 54 in decreasing order.\nAnswer: 54, 6, -2\/11, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5680 = -1262*r + 41412 + 31167 - 12633 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-24 - -14 - (-1 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1720802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 j, and 1 y when three letters picked without replacement from brcbbjbbbjjyjjbr.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**2 - 1\/3*u**3 - u + 0. Let j(d) = d**2 + d. Let y(v) = -v**2 - 2*v. Let n(t) = 2*j(t) + y(t). What is n(s(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2682 is divided by 1328?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*u + 3*o - 14, 0 = 5*u + 3*o + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(3 + sqrt(243) + -1)*1)**2.\nAnswer: 46656*sqrt(3) + 320112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 + -162. What is the third biggest value in 4\/7, -0.07, o?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -514. Let i = 452.5 - b. Let p = -0.055 - -4.655. What is the second smallest value in p, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/3 - 6*v. Give s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r - 7. Let n be (-2)\/(-6) + 56\/21 - -15. Suppose -9*l = -12*l + n. Calculate the remainder when c(5) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3648 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395906.\nAnswer: 2, 7, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 150.6171578 and -1.8824.\nAnswer: 148.7347578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 8) + -12 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119827*f - 119766*f + 1891 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/30 + 177*o**2. Let c(u) = u - 1. Let n(x) = 4*x - 1. Let i(y) = -6*c(y) + 6*n(y). Calculate b(i(j)).\nAnswer: -648*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - p. Let w be t(-1). Suppose -3*c = -4*o + 4 + 7, o = w. Let m be (-9)\/(-2)*(c + -1). What is the greatest common factor of m and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6324 and -1053392390?\nAnswer: 1053386066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-15))\/((-2)\/(-10)). Suppose -5*d + 3 = -p*r - 19, -2*r - 2*d + 6 = 0. Let i(a) = -28*a + 1. Calculate the remainder when i(r) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 12\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 124*i**3 - 384*i**2 + 388*i - 130.\nAnswer: 2*(i - 1)**3*(i + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 27*c**2 - 26*c - 54. Let p be r(28). Let j be 1\/p*((-41)\/9 + 5). Solve 0*y + 0*y**2 + j*y**3 + 0 + 0*y**4 - 2\/9*y**5 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 22680*o**3 + 22684*o**2.\nAnswer: -4*o**2*(o - 5671)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*z**4 + 68*z**3 - 215*z**2 + 3*z - 3 wrt z?\nAnswer: 648*z + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 21. Calculate the highest common factor of 99 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, w: 1, f: 6, d: 1, r: 6}. What is prob of picking 1 f and 3 z?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-29 - -31)\/(0 - (-2)\/326)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, -11 in descending order.\nAnswer: 3, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + (-14)\/(-6). Factor 0*m**4 + w*m**3 - m**4 - 6*m**2 + m + 3*m**2.\nAnswer: -m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + 3*v - 1. Let t be c(2). Let f be 1 + 9\/(-7) - t\/7. Suppose z + y - 114 = 0, -y + 334 = f*z - 18. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1978 and 35\/88044.\nAnswer: 3785892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (-19 - (10 + -37 + -19)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 72. Suppose 0*p - 3*p = -2*z + 21, -p = m*z - 27. Suppose 2*c = 5*c. Solve c = z*i - i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 10:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bddb when four letters picked without replacement from bbbdbbbbbddddbbbbbbb?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6248, -6255, -6274, -6311, -6372, -6463, -6590?\n\"Answer: -w**3 - 6247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14849 + -14844. Let c be (-108)\/(-14) - 16\/(-56). Suppose -2*t - c = -12. Solve t*y - i = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 173*a**5\/60 + a**4\/3 + 5*a**3\/6 - 15*a**2 + 1. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/50 - 29*b**4\/15 + 59*b**3\/15 - b + 131. Let w(r) = 0. What is r?\nAnswer: -59, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 6*r - 16*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114, 1012, 3462, 8244, 16138?\n\"Answer: 130*i**3 - 4*i**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7808*d + 432*d = -428480 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 12:18 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16186400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 74\/5 of a second?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 4 (c) -3\/5 (d) -49 (e) 1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:37 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c + 91. Let u = -79 + c. Let i(v) = 4*v - 29. Is 12 a factor of i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5377722 is divided by 302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -4 (c) -5 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + y**2 + y. Let t(f) = 85*f**3 + 3*f**2 + 3*f. Give -t(b) + 3*z(b).\nAnswer: -82*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 - 46*r - 222)*(-5*r + 5*r - 2*r) - 3*r**2 + 4*r**2 + r**2.\nAnswer: 94*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 1174*z - 599*z - 601*z = 218, 3*h + 5*z = -51 + 21 - 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + (-3 - (0 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3562946 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -6. What is the third derivative of 0*l**q + l**2 + 2*l**2 - 2*l**4 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10912, -10913, -10914?\nAnswer: -10915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 3. Let j = 6 - 14. Let s be h(j). Let x(m) = -8*m - 3. Is x(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505453, -1010906, -1516357, -2021806, -2527253, -3032698?\nAnswer: -3538141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/936 and -77\/1729780.\nAnswer: 31136040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 plus -3867212705?\nAnswer: -3867211924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/588 - 2*g**7\/735 - 3*g**6\/70 - 11*g**5\/105 - 2*g**4\/21 - 54*g**2 - 5. Factor i(m).\nAnswer: 4*m*(m - 4)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409762 at least as big as 9409762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15638260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62191235281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1036 = -1039 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 2*d + 8. Let r be (-4 + (-26)\/(-4))*d. Suppose 3*h + 5*n = 35, 1 = -r*h + 4*n + 10. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 33 (b) 0.2 (c) -1\/94 (d) 4\/7 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(0*u + 13*u - 5*u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 38\/10)\/((-2)\/10). Is (-4616)\/w + 3\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 2, -21 in decreasing order.\nAnswer: 5, 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363921?\nAnswer: 3, 29, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 167 times 23.866\nAnswer: 3985.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267649?\nAnswer: 267649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7539 is divided by 154?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 5*p + 5. Let j be z(5). Suppose -8*v - 2*l = -4*v - 58, -j*v = -3*l - 45. Calculate the greatest common divisor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**2 + 10*b + 10. Let r(y) = -20*y**2 - 29*y - 29. Let q(k) = -6*r(k) - 17*w(k). Does 22 divide q(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182 and 728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 + 2*q - 1. Let c be v(-3). Let l = -15 + c. What is the common denominator of 17\/4 and ((-11)\/l)\/((-9)\/(-8))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*m - 153. Let s be (1\/m)\/(1\/(-2)). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/3 - 2*r - 1. Let o be 12\/((-8)\/(-2)) - -3. Is b(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-265)\/2756)\/((-2100)\/390).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -11. Suppose -2 - 4 = -l*m. Determine b so that 0 + 1\/2*b**m + 0*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from sxpunpn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*o**2 - j*o + 59*j + 282*o**5 - o**4 wrt o.\nAnswer: 2*j + 5640*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/((7 + -2)\/60). Let o = -18 - -30. Calculate the greatest common divisor of o and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 31*h**2 - 32*h + 55. Let t be c(30). Let a be (24\/(-5))\/(-2)*10. Sort t, a, -2, 2.\nAnswer: t, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -709\/6 or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2)*y**(-1\/8))\/(y**(-4)*y*(y\/y**(-1))\/y)*(y\/(y\/(y\/y**(2\/9)))*y)\/(y*y**(-1))*y**1*y\/((y*(y*y**(-1)\/y)\/y)\/y)*y assuming y is positive.\nAnswer: y**(551\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w - 26 = -q, 4*q = -4*w + 8. Let g be 4\/(-3)*27\/q. Let a = 35 - g. What is the tens 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 10:17 PM and 3:12 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -1. Let a = -0.4 + u. What is the closest to a in 1, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001 - 10.701. Let q = l - -1.7. Let y = q + 9.02. Which is the nearest to 0? (a) -3 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - -102.41. Let v = r - -8.56. Let h = v + -7. What is h rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16054096 divided by 4013524\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-1\/2))*s)\/(s\/(s**(3\/5)\/s))*(s*s*s*s**(-6)*s)\/((s**1*s)\/s))**(-1\/42) assuming s is positive.\nAnswer: s**(29\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010101011000110111 + 1?\nAnswer: -101101010101011000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -t*r = -2 + 6. Let u = -317\/7 + 45. Is u < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.08 and 2.8.\nAnswer: -8.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-6\/5)*m**36*(m\/m**40)\/(m\/m**(2\/43)) assuming m is positive.\nAnswer: m**(-893\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.88 + -0.12. Which is the third biggest value? (a) r (b) -0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-14)*(-12)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 891.\nAnswer: 38313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54813 + -2357403\/43. Which is greater: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13548.7953 to the nearest 100.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1925.724 millennia?\nAnswer: 1925724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-2*2\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 12, p: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivikvikiivkikiiiii. What is prob of picking 2 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-3\/7)*c)\/c)\/(c**(-8)*c*c)*c**(-1)\/c*c*(c\/(c*(c**(1\/12)*c)\/c*c))\/c*c)**(-3\/7))**33 assuming c is positive.\nAnswer: c**(-9669\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 7, -26, -71, -128?\n\"Answer: -6*m**2 - 3*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3 - 1720*l**2 + l + 14401 wrt l?\nAnswer: 12*l - 3440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 6 + 27 = 0. Suppose k*c - 123 = d, 11*d - 13*d - 6 = 0. What is the remainder when 277 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14566 + 14635.69. Let v = h + -70. Sort -0.5, -1, v in increasing order.\nAnswer: -1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from tiiuititiiiiti.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329262 divided by 164631.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 45. Let y be 3 + (1 - 3 - g\/(-2)). Solve 0*o = -5*o + 10, -o = t - y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*1 + 0 + 3)*3 + (-5*(sqrt(10)\/sqrt(2) - sqrt(5)) - sqrt(5) - 3*sqrt(5)*3)*-2)**2.\nAnswer: 414*sqrt(5) + 2726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46044.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + o - 2 = 0, 3*o + 1 + 9 = y. Let c be y - (0 + (7 - 5)). Sort c, 2, 0, -3.\nAnswer: c, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 276, 610, 1076, 1674, 2404, 3266?\nAnswer: 4260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**3 - b**2 + b + 1. Let c be y(1). Solve -7*i = -c*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5969 - 5968.996056. What is g rounded to five decimal places?\nAnswer: 0.00394","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000000040096 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 736739 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*l - 32, -4*l + 0*l = 5*a. Let q(p) be the third derivative of -p**6\/120 - p**5\/20 + p**4\/8 - p**3\/2 - p**2. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1766 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let h = 6877\/75 - -816\/25. Let y = h - 125. Which is the third smallest value? (a) -0.8 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92dd7 (base 16) to base 8\nAnswer: 2226727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5709169 litres to millilitres.\nAnswer: 570.9169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59822529 is divided by 19940841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2393 - -15601. Suppose -y = -4*z + 12876. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381263104 by 64.\nAnswer: 5957236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 43659 divided by 891\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.4, 1.2, 1.4, -1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -10. Suppose 4*i - 15 = -q*s, s - 2 = -0*s - i. What is the remainder when 20 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5 + 5)*(9 + 9 - 6 + (0 + 3 - 4)*(0 + 0 - 1)).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*s**6 - 545*s**5 - s**3 - 385*s**2 + 70*s?\nAnswer: -2640*s**3 - 32700*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:36 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u\/((u\/(((u**(2\/7)*u)\/u)\/u))\/u))**23)**4 assuming u is positive.\nAnswer: u**(1472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (8 + -2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 176 = 26*m - 0*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002920269294 to 5 dps.\nAnswer: 0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75922054 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkdkkpkekke. What is prob of picking 4 k?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10587 + -5?\nAnswer: 10582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2943?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*g = 2, 3 = -2*h + 2*g - 1. Let j = 75.2 + -75. Which is the second biggest value? (a) 0 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1169\/159 - (38 - 10)\/4 and 7\/66.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2 and 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -6.9. Let s = 4\/45 - -37\/90. Let r be 26\/16 - (-3 - 50\/(-16)). Which is the second biggest value? (a) -1\/4 (b) s (c) h (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37612, 3\/5, 1\/2, 25.\nAnswer: -37612, 1\/2, 3\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31 - (3 + -1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 793 = 2*t + 2*t, 773 = 4*t + r. Suppose -4*v = -v - t. Suppose z - 2*l - 206 = -2*z, 0 = z - 3*l - v. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1552.140984055 + 6\nAnswer: 1558.140984055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 19*w**2 + w + 43. Let p be r(-19). Suppose 44*o = 42*o + p. Solve -2*c + 3 + 1 = h, o = -5*c + 3*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 + 562866?\nAnswer: 562867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -30296.1413 to the nearest 10.\nAnswer: -30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3073488.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 130 = 35*z, 2*z + 37 - 10 = -12*p - 2*z - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-7 + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6808?\nAnswer: -5\/6808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 869503 - -9895057\nAnswer: 10764560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*o**2*s**3*y**2 - o**2*s**3 - 54*s**3 - s**2*y**2 + 4*s wrt o?\nAnswer: -68*o*s**3*y**2 - 2*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -107*i**3 + 2*i**2 + 16*i + 13. Let b(m) = 36*m**3 - m**2 - 6*m - 5. Give -8*b(j) - 3*q(j).\nAnswer: 33*j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16076034 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*t + 9, 0 = -p - 16*t + 14*t + 13. What is the fifth biggest value in p, 3\/8, 2\/17, -0.1, 33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444826253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 19*o**8\/56 + 25*o**4\/12 + 4*o. What is the third derivative of n(h) wrt h?\nAnswer: 2280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, 27, -1051, 3 in increasing order.\nAnswer: -1051, -12, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*w + 4*x, 298*w - 307*w + 9 = -5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let a be (1\/s)\/((-3)\/(-6)). Factor 2\/3*i**3 + a*i**2 - 2\/3 - 2\/3*i.\nAnswer: 2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2*c + 0*c)*(-1050*c + 1050*c - 280*c**2)*(5 - 1 - 2 - c) in the form k + i*c**2 + l*c**4 + p*c**3 + d*c and give p.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -22*n**3\/3 + 4. Let o(i) = 6*i**2 + 8. Let x(d) = d**2 + 1. Let j(q) = o(q) - 8*x(q). What is a(j(m))?\nAnswer: -88*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -20*r**2 + 52*r + 13. Let t(v) = -14*v**2 + 35*v + 9. Give 5*n(m) - 7*t(m).\nAnswer: -2*m**2 + 15*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 1. Let f be m(1). Suppose u = 6*w - 3*w + 17, f = -w. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*s - 2 = 67*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 6, 3, -3206, 0 in increasing order.\nAnswer: -3206, 0, 3, 4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 142464 = -o - 142459, -o - 3*x + 3 = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3553)\/153 + 23 + (-8)\/(-198).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.99 - -3.02. Put x, 0, 0.04, -3\/5 in ascending order.\nAnswer: -3\/5, 0, x, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 67*q**2 - 26*q + 9. What are the prime factors of g(-24)?\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 5*h - 6. Let s be t(6). Suppose s = -o + 564 - 108. Suppose 10*i - o = 6*i. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*o)*(-3*o + 3*o - o) + 0 - 2*o**2 + 0 + 2*o + o**2 - 2*o + (5 - 3 + 0)*(-1 + 1 - 2*o**2) + (48*o + 0*o - 23*o)*(o - o - 2*o).\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 990043658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*b = 60, -5*d + 2*b = 3*b - 60. Solve -3*k = d, 0*u + 3*u - 5*k = 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 2*q, 3*q = 2*v - 1 + 2. Suppose -v*g + 31 = -4. Suppose g*s - 29 = -0*s - y, y = -1. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*u**3*w**2 + 185466*u**3*w + u**3 - 620*w**5 wrt w?\nAnswer: -572*u**3 - 12400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*m - 1 + m**2 + 3*m**4 - 3 as q*m**3 + d*m**2 + r*m**4 + l*m + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + p**2 + 3*p + 2. What are the prime factors of y(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219 - 41 - 48 - 130 - 10*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k - 377 + 245. Put k, -1, 2 in increasing order.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6 + 0 + 4*r - 6*r + 5. What is the least common multiple of 7 and g(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 6*w**2 + 7*w - 6. What is x(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - ((-320)\/50 + -5). Put 4, b, 3 in decreasing order.\nAnswer: b, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1238 - 2425\/2. Find the common denominator of -51\/7 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 17*s**2. Let u(i) = -573*i**2 + 34913*i - 34913*i. Give u(m(a)).\nAnswer: -165597*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**5\/30 + 5*y**4\/12 - y**3\/3 + 138*y**2. Let f be x(6). Are f and -61\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 4 + (-50 - (-103 + 159))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2 + 2 - 10800*i. Let y(v) = v**3 - 6*v**2 + 5*v - 5. Let w be y(5). Let b be j(w). What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 50\/13?\nAnswer: 50\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 29 + 12 + 5*n.\nAnswer: 5*n + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -155390 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 33475298*c + 33475296.\nAnswer: 2*(c + 1)*(c + 16737648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 1. Let o(b) = b. Determine -5*o(v) + 3*u(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.3 (c) 47 (d) 76\/5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 166*z**2 - 25060*z + 15700078. Let q(v) = -97*v**2 + 15036*v - 9420047. Let j(n) = -7*l(n) - 12*q(n). Solve j(h) = 0.\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p - 2. Let z(q) = 9*q + 3. Determine -3*h(o) - 2*z(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by (-11 + -4)*(-3)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.045\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8997*d = 8917*d - 3520 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2280*k**3*t + 237*k**3 - 2*k*t**2 + k - 2*t - 10 wrt t.\nAnswer: -2280*k**3 - 4*k*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 - 6*d + 5. Let j be f(6). Let w be (0\/(-3))\/(3\/3). Solve 2*b - 6 = -2*r, w = -3*r - 5*b - j + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**3 + 12*t**3 + 2*t**3 - 2*t**2 - 5*t**3 wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15122\/19 + 796. Let i = 509\/6 - 85. What is the third biggest value in -7\/4, t, i?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v + 4*l, -8*v + 4*l = -4*v - 24. Solve -2*i + v + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8204 = -664541\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:05 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:40 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsa when three letters picked without replacement from {s: 4, l: 7, a: 4}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 524 = 536. Suppose -l*x = -11*x + 36. What is the highest common divisor of x and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -6.547\nAnswer: 1.9641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/1260 + 11*w**4\/12 + 17*w. Let j(r) be the third derivative of v(r). Let b(x) = 13*x. What is j(b(d))?\nAnswer: 338*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 207022967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9101510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 2*v**3\/3 + 4*v**2 - 30*v. Give t(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.500384 rounded to 2 dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105882*a**2*n - a**2 - a*n - 40*a - n + 120 wrt a.\nAnswer: 211764*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 487 and -612505282.\nAnswer: -612504795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. Let z = 404 + -399. Sort z, 12, q in ascending order.\nAnswer: q, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.964401 months to decades.\nAnswer: 0.133036675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*l + 2, -22*l = -2*x - 17*l - 5. Let q = 5 - 0. Suppose a - q*a + 124 = x. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 4. Let k be ((-2)\/(-3))\/(2\/3). Let s(d) = d**2 - 4 + 3 + d - 2*d. Let b(v) = k*u(v) + 2*s(v). Solve b(p) = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 7. Let r be a(6). Calculate the greatest common divisor of r and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 + q**5\/6 + 11*q**4\/24 + q**3\/6 + 32*q**2. What is the remainder when v(-7) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhbxhxbxhx. Give prob of sequence hbxh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -237, 660, 4?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose 2*s - 37478 + 9600 = 0. Suppose o*f + s = -16061. Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -283 - -287. Suppose 65 = 4*t - 15. Solve 0*m - o*m + t = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.247 and -184?\nAnswer: 45.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 + 1011000111111000101?\nAnswer: 1011000111110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 7*d**5\/30 - d**4\/8 + 34*d**2. Let a(k) = -4*k**2. Determine i(a(h)).\nAnswer: 224*h**4 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/20 + w**3\/6 + w**2\/2 - 5*w. Is d(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*t - 2, -3*t + t + 3*p - 12 = 0. Let a be (2\/(-4) + -1)\/3. Let m be 6\/(-2) + 3 + -3. What is the nearest to m in t, -2\/5, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 663 - -1. Suppose -2*n = -3*z + h, 3*z + n = 757 - 81. Suppose -z - 275 = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-225)\/(-875) + (-4)\/10. Which is the closest to -2\/5? (a) -1\/4 (b) y (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-6) - 2\/4. Let p = 9 - y. Suppose -3*z = -p*z - 16. Sort 3, -2, z in descending order.\nAnswer: 3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000100 + 10010?\nAnswer: -1000010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-75)\/1100?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/8))\/u)\/(u**(-23)\/u)*u*u**(-1)*u*u\/u**33)**(14\/3) assuming u is positive.\nAnswer: u**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-12)*196\/(-1078))\/((-186)\/(-4)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4589.39 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -60499?\nAnswer: -60506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004267413237 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.117171l in millilitres?\nAnswer: 1117.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 100 = -4*r - 11, 2*g = -3*r + 58. Calculate the highest common divisor of 616 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) -0.5 (d) 0.125 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*h = -103*h - 31*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(26\/((-1768)\/102))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38543654, 38543655, 38543656, 38543657?\n\"Answer: g + 38543653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d + 18*d + 26*d + 36*d. Let p(o) = -2*o. Give z(p(g)).\nAnswer: -136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (((9 - 4) + -13 - -5) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 4, i: 2, u: 1, k: 6, l: 3}. Give prob of sequence nk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b. Suppose -2*t - h + 8 = b, h = -7*t + 2*t + 17. Let x be (-2)\/5 + (-2)\/(-5). Solve t*c + 12 = -x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*((0 + sqrt(475) - sqrt(475)) + sqrt(475)) + -5 - ((-3*sqrt(1539) - sqrt(171)\/sqrt(441)) + -2)**2.\nAnswer: -686537\/49 - 690*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 1 + -5 - (((sqrt(39)\/sqrt(3) - sqrt(13))*5)**2 - ((sqrt(13) - (-2 + sqrt(117))) + sqrt(13))).\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 906202 = 2321857. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2889.9999982396 - -2890. Round w to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -6. Let a(f) = -5*f**3 - 4*f**2 - 2*f. Let c be a(-2). Let w be ((-2)\/c)\/((-5)\/20). Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -168*v - 53. Let u(j) = 42*j + 13. Let z(d) = 2*l(d) + 9*u(d). Is z(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 36736 and -1.\nAnswer: 36735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*o - 3*o. Let d(x) = -5*x**3 - 7*x**2 - 7*x + 2. Let k(u) = 2*u**3 + 3*u**2 + 3*u - 1. Determine o*k(j) - 3*d(j).\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*376865.78\nAnswer: -113059.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 9. Let n(b) = -3. Suppose 246 = 6*r + 288. Determine r*n(a) - 2*y(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24503 + 0?\nAnswer: -24503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 10) in base 7?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 23*t**2 - 139*t + 14. Determine f(-10).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152449*v + 2*v**2 + 152449*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.76*-49.\nAnswer: 184.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 969807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2))**(-49) assuming n is positive.\nAnswer: n**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 27, 7, -31, -93, -185?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (34 - -37 - 23).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 58. Solve 0*h - 3*h + d = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3279 - 3244 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 - ((-4579)\/380 - (-20)\/16). Which is greater: 4\/59 or t?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4993 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let v(j) be the second derivative of -j**3\/2 + 562*j**2 + 13*j - 72. What is n(v(h))?\nAnswer: 9*h**2 - 6744*h + 1263376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50207 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n*n**(2\/27)*n))**44*n**(-3\/10)*(n**(-6)\/n)\/n*(n\/((n*n*n\/(n*n*n**(1\/4)*n))\/n))**(4\/13) assuming n is positive.\nAnswer: n**(-655903\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 181, 416, 757, 1210, 1781, 2476?\nAnswer: 3301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -679 - -904. What is the smallest common multiple of r and 650?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, w: 4}. What is prob of sequence ewew?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1764737 and 79577?\nAnswer: 30000529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*b + 12*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4422 - -17691\/4. What is the second smallest value in 66, q, 2\/3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*u + 7101748, 2*s - 2635366 = 4*u - 8316764. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139913938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 404 - 112. Suppose -3*v + 85 = 5*m, v + 4*v + 4*m - u = 0. Suppose v = 4*f - 402. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.774753 years?\nAnswer: 0.005774753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3670 divide 504313209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*a + 167 - 163, -3*m = 4*a - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(20) + 3) + -3 + 1*sqrt(500))**2.\nAnswer: 324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 15*g**2 - 7 - 54*g.\nAnswer: -15*g**2 - 54*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 22 = -13. Suppose 0 = z*j + 294 + 405. Let o = 527 + j. Does 42 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2369455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -223*c + 5. Let l(t) = 38*t - 1. Let o(p) = 6*l(p) + n(p). Let h(z) = -15*z + 3. Calculate 6*h(f) + 17*o(f).\nAnswer: -5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = y - 60, 5*y - 276 = 3*n - 6*n. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118374702?\nAnswer: 2, 3, 19729117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9441.04km?\nAnswer: 9441040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r + 15449. Let d(o) = 5*o + 5148. Calculate -8*d(q) + 3*v(q).\nAnswer: 2*q + 5163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -261754.\nAnswer: 3141048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4965839 tonnes in grams?\nAnswer: 496583.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17748 and 7650?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-1 + sqrt(114))*-3*6)\/(-1*sqrt(726)*1)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 - 66*z**2 - 216*z = 0?\nAnswer: -18, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, o: 10, u: 3, d: 2}. What is prob of sequence do?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1874234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0, -15, 1, 11, 44 in descending order.\nAnswer: 44, 11, 5, 1, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-6) + (5 - (-80)\/(-15)). Calculate the remainder when (4\/j - 2)*945\/(-14) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w. Let n(c) = -3*c**2 - 2*c + 1. Let l = 98 - 56. Let b be 3\/(2\/(l\/(-9))). Let i(a) = b*q(a) - 3*n(a). Determine i(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a55 (base 14) to base 15\nAnswer: -6463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 1, e: 2, d: 1, p: 1, o: 2}. What is prob of picking 1 o, 1 d, 1 e, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*0.41833.\nAnswer: 0.292831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:12 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -44. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*c**3 - 28 - 2*c - 19*c**2 + 26 + c**4 + 108*c**3 - c**2 + c as n*c + p*c**4 + m*c**3 + r*c**2 + i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*h - 7\/8*h**3 + 2*h**2.\nAnswer: -h*(h - 2)*(7*h - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = l + 3*d, -2*l + 3*d - 6*d = 18. Let o = l + 5. Suppose 4*z + 7*x - o*x + 7 = 0, -2*x - 14 = -4*z. Solve -p = 5*k + 17, -2*k + 9 = 5*p + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97325246 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95920 and 550.\nAnswer: 479600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4224 and 640?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/1944*(-3 + (-3)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 26547804.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 150?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 285\/798*(-16)\/40\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 27 - 3 = 0. Let b(p) = 11*p. Let u be -1*4*221\/26. Let l(y) = -3*y + y + 0*y. What is u*l(o) + v*b(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-69068)\/1922)*-31\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 12:02 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.2 (c) 2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(51\/(-1275)) - (-2 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - ((-55521)\/27 + 7). Let k(t) = y*t**2 - t + t - 2047*t**2. Let v(q) = 20*q. Determine v(k(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*y = 2*y + 28, -y - 21 = 3*u. Let c(t) = t**3 + 6*t**2 - 6*t + 9. Let l be c(u). Is l bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*f + 15029, o + 2*f - 1843 = 1908. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590668900 a multiple of 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 0.4 (c) 2 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 103, 144?\n\"Answer: 41*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**10\/25200 + h**6\/180 + h**5\/10 + h**2. Let k(y) be the third derivative of u(y). Find the first derivative of k(m) wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1020 or 1021?\nAnswer: 1020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5, 48, 70.\nAnswer: 5, 15, 48, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 0*r + 0*r + 6*r - 2*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -156*a**2 - a + 4. Let v(j) = -3*j**2 + j - 1. Determine -l(c) - 2*v(c).\nAnswer: 162*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 321*o**3*x - 2*o*v**2*x + v**2*x + v*x - 21*x wrt o.\nAnswer: 8*o**3 + 963*o**2*x - 2*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -10) - (-2302 - -2205)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022 - -212?\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803442909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16124 is divided by 4024.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1209 - 1208.3208. What is z rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11.5866 - 35313229\nAnswer: -35313240.5866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2816.1 (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9797061151\/3878 - 2526318. Calculate the common denominator of -6\/11 and p.\nAnswer: 42658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42294, 42023, 41752, 41481, 41210?\nAnswer: 40939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1518460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*3*(0 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*l**3 - 2\/7 - 1\/7*l + 3\/7*l**2 - 1\/7*l**4.\nAnswer: -(l - 2)*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64313 and 1762.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 958\/3 - 1277\/4. Let m(h) be the third derivative of -b*h**6 - 1\/42*h**7 + 6*h**2 + 0*h**4 + 0*h + 0*h**3 + 0 + 1\/4*h**5. Factor m(f).\nAnswer: -5*f**2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 1\/300*u**6 - 9*u**2 - 1\/30*u**4 + 0 - 1\/150*u**5 + 0*u + 0*u**3. Find y such that h(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 33 + -30 + -74.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/678452209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -3. Let a be (-136)\/(-10) + (-2)\/(-5). What is the highest common divisor of a and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/274454 and 65\/98?\nAnswer: 13448246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.876 + -6.376. Let a be ((-4)\/(-5))\/(2\/(-10)). What is the closest to 0 in a, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**3 + 230*o**2 + 179*o + 37. Let d(w) = 2*w**2 + 5. Let f(l) = -33*d(l) + 3*j(l). Factor f(a).\nAnswer: 3*(a + 1)*(a + 18)*(11*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:55 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3895*h**3 + 13*h**2 - 9*h - 22 + 3894*h**3 + 26 + (0*h + h - 2*h)*(3*h**2 - h**2 - 4*h**2) as g + x*h + o*h**3 + d*h**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/5)\/(46\/345) + -7 + -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6731 and 47117?\nAnswer: 47117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16552458*g*k**3 + 1638*g*k**2 + 2*g*k + 10*g - 3*k**2 wrt k.\nAnswer: 99314748*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -217059, -217057, -217055, -217053?\n\"Answer: 2*g - 217061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 207?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2575*y + 3542 - 11588 - 34354 = 3950 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (0 - 1) - (1677 + -1651)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 6, z: 7, j: 2, r: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38402031 - 39025?\nAnswer: -38441056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 96. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2317*m**2. Let f(a) = -4*a**2. Calculate h(f(t)).\nAnswer: -37072*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/(-126) - (-2)\/(-14) - 120\/(-105). Which is the nearest to -2? (a) 4 (b) 0.1 (c) 17 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -4\/9, 2, -83, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11844 and 62\/105.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 7, -393047 in decreasing order.\nAnswer: 7, 2, 1, -393047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891241548 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 173*b - 588. Let u be j(83). Is u at most -15216\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -782.483.\nAnswer: 156.4966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -815.5113 plus -0.9?\nAnswer: -816.4113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(153) + 2 - (4*1*sqrt(119))\/sqrt(7))**2*-3 + 1.\nAnswer: -197 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 10335.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -0*i. Let o = 0 + i. Suppose -d = -6*d. Solve -q + 0*m - o*m = -5, d = -q - m + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 7) to base 5.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1479 from 14.6.\nAnswer: -1464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 122327040 divided by -8448\nAnswer: -14480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/20)\/(30\/(-50)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27406600 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-5 + 8) - (45 + (-65 - -42)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by -164.\nAnswer: -61\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 719953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-175290)\/25)\/(-6) + (-6)\/10. Suppose 2*y - 1171 = 6*w - 5*w, -2*y = -4*w - o. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/83, 0.4, -4 in descending order.\nAnswer: 0.4, -5\/83, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.5, 2\/7, 5\/9, -1162, 0, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 382132395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -4 - 1\/2*c**2 - 2*c. Differentiate k(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q - 125 + 1236 = -751 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6*n = 11*n - 82, 4*g - 4*n = -344. Let h = g + 263\/3. Which is the smallest value? (a) h (b) 9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3075.85 - 1965081\nAnswer: -1962005.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11229562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 2. Let p be g(-4). Let s = p + 2. Suppose -4*u + 59 - 11 = s. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 + 29*j**5\/60 + 25*j**4\/8 - 71*j**3\/6 + 13347*j**2. Give l(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by -44\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**3 - 88*r**3 + 6*r - 6*r.\nAnswer: -126*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**2\/4 - 88880223*v\/4 - 4444011.\nAnswer: -3*(v + 5925348)*(5*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-4 - 1 - (0 - 4)). Find the third derivative of -18*i**f + i**2 + 35*i + 22*i**4 - 6*i**4 - 8*i**4 - 13*i**4 wrt i.\nAnswer: -120*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 23*j + 18. Let a be u(12). Suppose -9 = q + 2*q. Let g(f) = 2*f + 7. Let t(z) = 5*z + 15. Let p(d) = q*t(d) + 7*g(d). Give p(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/5*27\/(2673\/165)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -55. What is the smallest common multiple of (-16)\/(-3)*6\/4 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -0*x + 4*x, k = 0. Let i(w) = -1 - 3 + 6 - 3*w + x. Let p(j) = -7*j + 9. Let h(f) = 9*i(f) - 4*p(f). Let b(g) = -g. Calculate b(h(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**3 - 2 + 3 - 4 - 6*k**3 as l*k**2 + x*k + j + c*k**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*x - 20*x - 1 + 1 to the form l + m*x and give m.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1424551 rounded to two dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19668 divided by 894.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(7)*1))\/(sqrt(144)\/sqrt(4)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 - 4*l**2 + 4*l**2 - 4*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -1475, -3753, -6853, -10775?\nAnswer: -15519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4.4 (b) 1 (c) 2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*w**3 + w**5 + 141*w**2 - 135*w**2 - 84 + 6 wrt w?\nAnswer: 60*w**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 15 (b) 30\/13 (c) -0.59 (d) 29 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 463424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -71999*b**2 - 5*b. Let t be m(5). Round t to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*p = -2, 5*p = o + 1 - 6. Suppose 3*l - 3 = o, -4*k = -2*k - 4*l - 34. What is the remainder when 54 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 7*s + 8*s)*((-1 + 0 + 0)*(-2*s - s + 4*s) + 1 + 2*s - 1 + (-5 + 1 + 3)*(-s - 4 + 4) - 11*s - 9 + 9 - 4*s + 4*s + s + s + 0*s + 4*s).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047*r + 49938 + 4506 = 0 for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29288 <= 29290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734422 is divided by 317?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/(-153) - 55\/(-45). Suppose -2*s + b = 2*y - 19, 0 = 2*s + 5*y - 35. Let u(q) = -q**3 + 6*q**2 - 4*q. What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 441 = 3*u, m = 5*u - 42 + 139. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217949, -435893, -653837, -871781?\nAnswer: -1089725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20 - 1)\/(28\/(-70) + 1). What is the biggest value in -1\/3, b, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from aaabebbeeaaaeaab.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 174*w**2 + 352*w + 481. Give f(-176).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (25 - 1)\/((-78)\/(-208))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 0.0465585?\nAnswer: -0.0279351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -0. Let b be ((-6)\/(-14))\/(61\/((-8540)\/(-30))). Sort b, d, -27 in decreasing order.\nAnswer: b, d, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 greater than -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**3 + 4*r**4 + (2 - 2 + 1 + 2*r)*(r**3 + 0*r**3 + 0*r**3) - 2*r**4 + 3*r**4 + r**4 + (6*r - r - 3*r)*(0*r**2 + 0*r**2 - 2*r**3).\nAnswer: 4*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-10))\/2)\/((-15)\/150).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5137, 5166, 5195, 5224, 5253?\nAnswer: 5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4817*o - 1950 = -4892*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 273*x**2\/4 - 13437*x\/2 - 6650.\nAnswer: (x - 350)*(x + 1)*(x + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3087867 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1907656 and 168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/14)\/(104\/(-28) + 4). Solve 0 = -0*z + 5*z - 2*n - 23, q*z = 2*n + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 7*j**2 + 8*j + 5. Let r be x(-8). Solve 10 + 10 = -r*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 277027.5\nAnswer: 27702.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1798805 or -1798680?\nAnswer: -1798805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 77. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.033 times 0.24\nAnswer: 0.72792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -20*c**2 + 1434. Let x(o) = -7*o**2 + 483. Give -3*s(f) + 8*x(f).\nAnswer: 4*f**2 - 438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 724 (base 12) to base 16.\nAnswer: 40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 4*m + 97, 43*p - 51*p = -27*p + 5*m - 139 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 103*w - 14. Let g(v) = -69*v + 9. Let u(t) = 8*g(t) + 5*k(t). Let q be u(1). List the prime factors of 1\/(-7)*-240 + 10\/q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 11:40 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10) - (-728)\/35. Solve 2*t = 3*o + a, -12 = -2*o + 5*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-115)\/2)*8\/(33\/((-1980)\/(-96))).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -44 + 7 - (7 - -2)) + 94 + 6\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from dhdhdh?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803363 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -15 + 12 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let o(n) be the second derivative of n**4\/3 - 5*n**3\/6 + n**2 - 3*n. Let d(p) = 3*c(p) - o(p). Determine d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4863564*h**2. Let w(l) = -3*l**2. Calculate j(w(u)).\nAnswer: 43772076*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11704512*m**6 + 7737821*m**2 - 2 wrt m?\nAnswer: 1404541440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, 21, 106, 191, 276, 361?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1281181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000098956 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3225)\/(-1935)*(-120)\/(-28).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(11 + -2). Differentiate -6*n - p + 5*n - 2 - 5*n with respect to n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**7\/14 - f**6\/5 + 3*f**5\/20 - 4*f. Determine o so that k(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4670, 9314, 13906, 18428, 22862, 27190, 31394?\n\"Answer: -3*m**3 - 8*m**2 + 4689*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -24.5 (b) -10\/89 (c) -0.2 (d) -3 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32730 (base 8) to base 12.\nAnswer: -7b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g**2 - g. Let q be h(0). Suppose q = -3*k + 2*k + 13. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-2)\/2 - 16566\/(-66). What is the first derivative of 21 + 14*s - 14*s + 114 + b*s**2 wrt s?\nAnswer: 492*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbdbdlbdddbdbd. What is prob of sequence ddl?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 2\/9, -63, 129, 1, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 27*a + 162. Let o be r(18). Solve o = k + 4*f + 18, -2*k - 6*f - 24 = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.31 + 0.77. What is i rounded to 1 dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.91 (c) -5 (d) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 - 46406*j**2 - 463960*j = 0. What is j?\nAnswer: -46396, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/19 + 24943348*g\/19 + 49886688\/19 = 0. What is g?\nAnswer: -12471672, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g**3 + 2*g + (-g**3 + 20*g**3 + 3*g**3)*(2 - 3 + 0) + 4*g**3 - 7*g**3 - 6*g**3)*(-21 + 2*g + 23 + g).\nAnswer: -87*g**4 - 58*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*m - 110 = -9*m, -31 = -a - 4*m. Suppose -129 = -5*c - a. Calculate the remainder when 41 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + 1\/3. Suppose 0 = 4*n - h - 3. Let l = n - 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (7 + 1 + -5) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.146 + -0.254. Let m = 16 - 14.1. Let c = m - 2. What is the closest to c in 1, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5760)*-1)\/((sqrt(200) + (sqrt(200) - -1*sqrt(200)))*2 - sqrt(200)).\nAnswer: -24*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 2.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let o(j) = -7*j**2 + 22. Determine r(o(u)).\nAnswer: 49*u**4 - 308*u**2 + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.155 (b) -5 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328419509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(84)\/sqrt(2)*-4*-4)\/(1*sqrt(30)\/sqrt(5) - (sqrt(6) + (sqrt(54) - sqrt(6))*-2)).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 20*f**4 + 48*f**3 - 4*f**2 - 46*f + 24 = 0. Calculate f.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/11 + (-2)\/6)*12. Suppose 0 = -t + 9 + 1. Let q be (u\/(-10))\/(4\/t). Solve 4*a + 7 = -q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -65, -102?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 - (-6)\/4. Suppose j + 55 = 5*s - 4*j, 2*s - z*j - 21 = 0. Calculate the remainder when 23 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -461\/7 - -66. Are z and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**5\/10 + w**4\/4 + 2*w**3\/3 - w**2. Let x = -1 + 5. Let k = -9 + x. Determine n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 2, p: 1, z: 1, m: 1}. Give prob of sequence zm.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3990 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 93056282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*n = 12, -m - 12 = -3*m - 2*n. Suppose -3*z = -4*k + 4, 2*z - m - 14 = -3*k. Suppose 0*o + z*o - 56 = 0. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/4961 + 203417\/39688. Let c(m) = 2*m**3 + 10*m**2 + 10*m + 2. Let y be c(-7). Calculate the common denominator of (-1)\/1 - y\/64 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 114*h**2 + 26*h - 437. Is i(-108) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 720*m - 144. Let i(l) = 11*l + 18. Let s(d) = 8*i(d) + j(d). Let y(q) = 9*q**2. What is s(y(c))?\nAnswer: 7272*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:29 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178*c**3*w**3 + 70*c*w**3 + 1 wrt c.\nAnswer: -1068*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f - 4*q - 22, 4*f = 3*q + 11. Let b(j) = -j**2 + 7*j + 8. Let y be b(7). Suppose -y*n + 6*n - 8 = 0. Sort 5, n, f in descending order.\nAnswer: 5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21655744 and 15048?\nAnswer: 194901696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(27))**2 + sqrt(3))*2 - sqrt(12)\/(sqrt(12)\/sqrt(75)).\nAnswer: -3*sqrt(3) + 2\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99309.\nAnswer: 3, 7, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8422.28 or 3?\nAnswer: 8422.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 1. Let b be p(-8). What are the prime factors of -3 + b\/(0 + 1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.08 + 5. Let t = 0.34 + m. Let h = -3.54 - t. What is h rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 26*b**2 + 47*b - 19. Let o be g(-24). Solve t = o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + 0*i)*(-1 + 2 + 2).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 198? (a) -7\/450 (b) -2\/9 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**0*z*z))**36*z*z*z\/((z**(1\/3)*z)\/z)*z**3*((z\/(z\/z**(3\/2)*z))\/z*z*z*z*z\/(z\/(z*z*z**(-6\/5)*z)))**(9\/13) assuming z is positive.\nAnswer: z**(-38749\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-2 - 0) + -4 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/9)\/((-940)\/(-6768))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569542833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + -118. Suppose 3*h - d = 2*a + 2*a, -2*h = -2*a - 64. Let c = 31 - h. Is c >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-110)\/15)\/22*-2)\/5*-12.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(1573)*-2)**2*-4 - (1*(-3*sqrt(1573) - sqrt(1573)) - (0 + (sqrt(1573) + -4 - sqrt(1573))))**2.\nAnswer: 352*sqrt(13) + 50315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/8)\/((-137)\/(-274)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0*4\/20)\/((-15)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:00 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-4) - (-33)\/22. Let g be (-10)\/p - (-3)\/6. Solve -1 = z + 2*a, -g*z + 0*a + 11 = -a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 44*m - 43*m. Suppose 0 = -w - m, -4*x + 3*x + 435005 = -w. Round x to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 326589 = 5*a - 423406, a - 150005 = 3*m. Suppose -2*x - 149984 = -4*x + 4*d, a = 2*x - d. Round x to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -630523 (base 7) to base 14\nAnswer: -2b683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55352 and 2244.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d + 1. Suppose -4*h + 28 = -0*h. Let s be b(h). Suppose 0 = -10*w + 171 - 51. What is the greatest common factor of w and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 - t**2)*(-35 + 35 - t)*(137 + 18*t**2 - 137).\nAnswer: 54*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1867, -1, 5, -125 in increasing order.\nAnswer: -125, -1, 5, 1867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-12) + (-1155)\/396. Let h be 235\/(-35) - 2\/7. Sort c, -1, -2, h.\nAnswer: h, c, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719616 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)*f)**24)**(1\/18) assuming f is positive.\nAnswer: f**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94\/88285 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107 times -0.3?\nAnswer: -0.0321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4077747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by (31 - 3) + -2 + (-12)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 2\/7 (c) -0.064 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 + -281. Let i = -1269\/7 - -181. What is the fourth biggest value in 10, k, 2\/11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/48*2 + 420\/96. Let r be ((-18)\/7)\/(k*15\/(-280)). Solve -3 - 9 = -r*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 1, d: 1, c: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*12\/(-8)*2. Is 5 a factor of 2 - (b - (-7)\/3*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/((k\/k**(-1\/4)*k)\/k))\/(k*k**0\/k)**(-2\/13)*k\/(k**(-2\/3)\/k)*k*k*k**6\/k*(k*k*k*k**(-2\/3)\/k)**(-16) assuming k is positive.\nAnswer: k**(-799\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*5\/(-10) + 29. Suppose -5*g + r + 3*r = -1080, 2*r = 0. What is the highest common divisor of g and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 103517570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15762 divided by -37.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 815196?\nAnswer: 48911.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -5*t + c, c - 85 = -t + 1. Suppose k + k - t = 3*j, 4*j = -4*k + 176. Let m = 2328 + -2287. Is m equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025992264 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -31. Suppose -s*g + 2*g + 522 = 0. Suppose -5 = 3*y + 2*y, 5*v - 2*y - g = 0. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1981708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*n + 141*n = -206569. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263 + 164. Let r = -98 - y. What is the nearest to r in -5, -3, -171, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1913 - 14*g - 1913)*(7*g + 6*g + 2*g).\nAnswer: -210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 6*v + 4*v)*(-16 - 2*v - v + v).\nAnswer: -4*v**2 - 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222.965 - 224. Let m = t + -0.335. Let c = m + 0.37. Put 0, c, -2 in ascending order.\nAnswer: -2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 44*m**2 - 246*m + 72. Determine h(49).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 - -1047663463.86?\nAnswer: 1047663915.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205 + 306. Let k = -88 + t. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**5\/15 + 4*c**3\/3 - c**2 - 37. Let h(f) be the third derivative of z(f). Let r(v) = 25*v**2. What is h(r(n))?\nAnswer: -200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 6. Let z(r) = -5*r + 7. Let w(a) = 7*t(a) + 6*z(a). Let m(l) = -2762*l**2. What is w(m(x))?\nAnswer: 5524*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -b121 (base 12) in base 4?\nAnswer: -10223221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1403 is divided by 497?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 69?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -25. Suppose -4*o = 7 - m. Calculate the greatest common divisor of o and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 5)*(-n**2 + 0 + 0) + n**2 + 2*n**2 - 4*n**2 - n**2 + 4*n**2 - 2*n**2 + n**2 - 2 + 2)*(-9*n**2 + 13*n**2 - 22*n**2).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, 5*d - 108 = -0*k - 4*k. Suppose u - k = -7. What is the greatest common factor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 <= 18492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*b - 4*b - 2*b)*(-2*b - 3 + 3) - 1 + b**2 + 1)*(-7*b + 2*b + b).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (140\/6)\/(12\/18). Let a be (12\/(-10) - (-7)\/d) + -3. Let t = a - -16. Calculate the remainder when 23 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/396 - (18\/12)\/((-6)\/20) and 75\/15082.\nAnswer: 135738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -153, -241, -345, -471, -625, -813?\n\"Answer: -v**3 + v**2 - 74*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0 - (0 + 2). Let f(v) = -692 + 1329 - 642 + 5*v. Let u(d) = -d + 1. Give i*f(n) - 11*u(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 2. Let x be s(3). Let k be x\/16 - (-2)\/4. Solve 0 = -4*r - k*r + j - 16, -4 = r - 3*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 4a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8217 and 54531.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (sqrt(180) - -2*sqrt(180)) + -3 - (0 + sqrt(180) + -1) - ((sqrt(1800) - (sqrt(1800)*-2 - sqrt(1800)) - sqrt(1800))\/(sqrt(90)*5))**2.\nAnswer: -46\/5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-6) - 34\/12. Does 3 divide (-3 - (c - -2)) + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28578*q - 29518*q - 28580*q + 86698*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*a**3 + 27*a**2 - 79*a**3 - 53*a**2.\nAnswer: -2*a**2*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + d + 3 = 0, 9*d - 13*d + 32 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-329)\/8883)\/(((-1)\/(-6))\/(4\/(8\/10))).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 9*s**2 + s + 8. Let k be b(-9). Put k, -2, -4 in descending order.\nAnswer: k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5431, 22028, 49787, 88708?\nAnswer: 138791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from sudcd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 22. Let q be s(-11). Suppose -i + 0*i + 2*i**2 - i + q*i = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/a**(-5))\/(a**3\/(a\/a**4)) assuming a is positive.\nAnswer: 1\/sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -2*(((sqrt(1900) + 1)*-3 + (sqrt(1900) - 2*(sqrt(1900)*-3 + sqrt(1900))))*5)**2).\nAnswer: -36000*sqrt(19) + 2282718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*x + z, 4*z - 32 = 4*x - 208. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9120)\/64*(-3 - -1). What is the tens digit of (0 - -2) + (0 - a\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -38 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*-116\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 - 2544*i - 2555. Let g(w) = -70*w**2 + 22898*w + 22994. Let f(h) = 6*g(h) + 52*t(h). Factor f(y).\nAnswer: -4*(y - 1276)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctatcractcg. Give prob of picking 1 t and 1 c.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 3*p - 3*z, 242 = 9*p - 5*p + z. What is the greatest common divisor of p and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/38 - (30\/(-28) - -2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c, 4*f - c - 1613 = -f. Suppose -379 = 13*j + f. Let y = -13 - j. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135072 and 16992?\nAnswer: 7969248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*f - 0*f - 63, 29 = -f + 3*z. Let y = 4 - f. Let p = y - 20. Solve -p*v + 10 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*(-6)\/(-8)*0. Suppose 2*f = m, 2*y + 0*f - 158 = -4*f. What are the prime factors of y?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, i: 3}. Give prob of sequence si.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + 293. Is p a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 - 2*b + 3. Determine f(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Suppose -2*x - 4 = -s*x - q, -3*x + 6 = -5*q. Suppose 0*p - v - 38 = -3*p, x*p - v - 26 = 0. What is the highest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1748*c - 3512*c + 1764*c - 38*c**2. Let y(d) = 86*d**2. Determine w(y(o)).\nAnswer: -281048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017861222 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110143609 or 110143602?\nAnswer: 110143609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7608 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b, -3*m - 2375 = 5*b + 94. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -13\/1332?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/243193941 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 499 = 4*i + 2*v, -v - 625 = -5*i. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:02 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 3*q**2 + 3*q**2 - q**3 - 2*q**3 + q**3 + (3*q - 3*q - 2*q**3)*(2 + 1 - 1) + 2*q**2 + 0*q + 3*q + 2*q**3 - 2*q.\nAnswer: -6*q**3 + 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - a - 9, -3*a = 2*t + 7. Let y(c) = -c - 5. Let u be y(-7). Suppose 5*k + u = -3. Put 3, k, t in ascending order.\nAnswer: k, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 3, -215, 1\/3, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)*h**(-10)*(h**1)**28)**(-2\/37) assuming h is positive.\nAnswer: h**(-107\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w + 10*w + 8*w + 7*w + 8*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 8 - 3*m**2 + 12 + m**2 + 6*m = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1943.947655 - 12709.869625. Let c = 10766 + r. What is c rounded to 3 dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 61.35?\nAnswer: 55.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 8*o**2 + 22*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19807\/17 + -1165. Let k = -0.001 + -0.499. Suppose -11 = 4*g + 5*z - 0*z, 4*z - 20 = 4*g. Which is the nearest to 1? (a) g (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*u - 4 - 4, -2*o - u - 1 = 0. Suppose -j - 23 = 5*p, 40 = 5*j - 4*p + 10. Let q(a) = 2 + 3*a**2 - j. What is q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012816 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -601, -3, 3, -1 in descending order.\nAnswer: 3, -1, -3, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h**4 - 5*h**2 + 6*h. Let y(r) = 25*r**4 - 4*r**2 + 5*r. Let w(s) = -5*v(s) + 6*y(s). What is the third derivative of w(p) wrt p?\nAnswer: 600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0*h**3 - h**3 - 3*h**2 - h**2. Let f(a) = 3*a**3 + a**2. Let b be f(1). Suppose b*u = 4*z - 0*u + 36, -u + 5 = 0. Give s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 3}. Give prob of picking 1 r and 3 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 367 + 238*f + f**3 + 232*f - 34 - 469*f - f**2. What is the hundreds digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**3 - 362*v**4 - 4*v**2 + 360*v**4 + 226*v + 4*v**2 - 205*v in the form f + u*v**2 + g*v**4 + i*v + s*v**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -33143683 to the nearest 100000.\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y - 1. Let v be o(9). Let x = -187 + v. Let g = x + 159. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8 + 6*u**2 - 7*u**2 - 7. Give r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*f + 164*f - 849*f + 168*f + 173*f + 166*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 11. Let y be b(25). Is y\/(-45) + 0 + 718\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*g - 227, 3*d - 120 - 45 = -3*g. Let z = 61 - d. Solve 2*x = f - 11, -16 = z*x - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**1\/p*p)\/p)\/(p**(-1\/4)*p))\/((p\/p**(-3\/7))\/(p**(-5)*p)))**(6\/11))**(1\/5) assuming p is positive.\nAnswer: p**(-519\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/4))**47)**(-40))**49 assuming l is positive.\nAnswer: l**23030","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*n. Let q = -265 + 244. Let u = q + 25. Solve -22 = u*l - n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264526 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -173*t**2\/2 + 3*t - 4625. Let m(r) = 2*r. Determine m(x(n)).\nAnswer: -346*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - 97*p**2 + 59*p - 367. What is the remainder when 597 is divided by w(48)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.215 or 5?\nAnswer: 0.215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00255712343 rounded to seven dps?\nAnswer: 0.0025571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than -232\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(187)*-1*-2)\/((sqrt(77)*2 - sqrt(77))\/sqrt(7) + sqrt(44)*-6))**2.\nAnswer: 272\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9857 is divided by 124?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10653 minus 2?\nAnswer: 10651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let i = -1.35 + 1.05. Let d be 84\/(-98)*14\/(-15). Sort j, i, d in ascending order.\nAnswer: i, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2\/9*g**2 + 62\/9*g - 68\/3 = 0.\nAnswer: -34, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 6:45 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 292602 = 4*t - 95423, t = l - 39435. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 7*i**4\/24 + i**3\/3 + i**2. Let k(x) = x. Give 4*k(d) - p(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 51975280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor -45*m**2 - 4578438*m - 305229.\nAnswer: -3*(m + 101743)*(15*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 44063560.\nAnswer: 1\/8812712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 640 + 459. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/2)\/((-105)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/36*-2*4. Let y = -21667\/5 + 4306. Let d = y + 28. What is the biggest value in b, d, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7283937.\nAnswer: 3, 41, 59219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2 + 8*l - 5 - 2*l. Suppose 0 = 5*b - 21 - 29. Let m = b + -16. Let j(k) = -5*k + 6. Give m*a(y) - 7*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152042 divided by 14.\nAnswer: -576021\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c + 1158 + 1147 - 2306 + 25*c.\nAnswer: 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239123 - -717413\/3. Determine v so that k + 2\/3*v**3 + 16*v**2 + 30*v = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 + 10*j**3 + 435*j**2 + 1800*j + 2160 = 0. What is j?\nAnswer: -4, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1176121\nAnswer: -3\/1176121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-70) - 6\/4. Let o(w) = -w**3 + 3*w**2 - 2*w - 3. Let h be o(3). Let f = l - h. Solve -f = 2*v + n, 0 = 2*v + 2*v - 4*n + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -22*l - 117 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 668403966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265.000141 + 265. What is u rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmq when three letters picked without replacement from {q: 3, m: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 528642 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, m: 4}. Give prob of sequence bbmb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*c + 2*c = 28, -4*z = -2*c - 60. What is the remainder when 63 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -28*w**3 - 5*w**2 - 3*w. Suppose 0*r - 12 = 4*r. Let g be f(r). Suppose 5*s - 2*m - m = g, m = -5. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6545.3 - 6545. Let v(l) = -l**3 + 5*l**2 + 2*l + 4. Let q be v(5). Let p = -23 + q. Which is the third biggest value? (a) h (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 198793510*l**3 + 6586476735549018*l**2 - 72741608917925346342514*l + 145483191489945340837004.\nAnswer: 2*(l - 33132251)**3*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2780)\/15)\/((-16)\/60) is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5555, -22407, -50577, -90065, -140871, -202995, -276437?\nAnswer: -361197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 (base 16) in base 3?\nAnswer: 211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 11 = i - 6, -4*i - u + 59 = 0. Find the common denominator of ((-1)\/(-4))\/(18\/80) and 1092\/(-385) + (-12)\/i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -67900*v. Let t = 514 + -524. Let w be p(t). Round w to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-23)\/p)\/p**(-10\/3))**(2\/199) assuming p is positive.\nAnswer: p**(-124\/597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (1 - -2)) + (43 - (78 - 10))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10010?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 10. Let o be u(-8). Let s be 1 + o*69\/6. Let t = s + -17. Let i(y) = -9*y**2 - 7*y + 7. Let k(c) = -5*c**2 - 4*c + 4. Give t*k(q) - 4*i(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k. Suppose 8 = p - 1. Let n(a) = -p*a + 9*a - 24*a - 26*a. Determine n(r(v)).\nAnswer: 350*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*d + 19136 = -142*d + 186*d for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = -15*w + 133. What is the remainder when 323 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1176*n**2 + 591*n**2 + 3 + 588*n**2 - 3. Let f(c) = 27*c. Calculate f(l(x)).\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r + 723 - 219 = 0. Calculate the highest common divisor of 423 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369633787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f + 62 - 92 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -303.213446989?\nAnswer: -301.213446989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10101203.\nAnswer: 7, 211, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 12) in base 6?\nAnswer: 12443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/168 and 67\/420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 202\/22 + 24\/(-132). Suppose q - 4*q + c = 0. Suppose 13 + 8 = q*m. Calculate the highest common factor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(343))**2 - ((sqrt(7) - (4 + sqrt(63))) + sqrt(7)).\nAnswer: -69*sqrt(7) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-460)\/(-46) + 16\/(-2). Let n(f) = -3*f**3 + 5*f**2 - f + 2. Determine n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 102947070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvoy when four letters picked without replacement from oyeykypevvpeypk.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 43b7703?\nAnswer: -43b7700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1132 = u, -u + 20 = -6*u. Suppose 0 = -5*a + 2*a + h. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + h)*(-4*h**4 + 5*h**4 + h**4) + h**5 - 5*h**5 + 3*h**5 - 291*h**5 - 1397*h**4 + 1397*h**4.\nAnswer: -290*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 237241 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, z: 11}. What is prob of sequence szsz?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5*-1 + (-145)\/25. Let k = 20\/3 + b. Factor k - 1\/3*n**3 + 0*n**2 + n.\nAnswer: -(n - 2)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 3\/5, 27?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 255. Let u = d + 26. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = -2. Let r = a + 4. Let w be r\/(-18) + 31\/6. Solve 0*c - 10 = w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-1)\/(10\/14)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 + 214. Suppose -x + 274 = -h. Suppose -3*s - 197 + x = 0. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -7*p**4 + 155*p + 65. What is the first derivative of r(t) wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 313e2 - -583?\nAnswer: 31965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 2881 = 3167. Let t = q - 36. Calculate the highest common divisor of t and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -2\/7, -178?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 - 8*z + 14. Let l(v) be the second derivative of -7*v**4\/12 + 5*v**3\/6 - 9*v**2\/2 - 88*v + 2. Give -8*l(s) - 5*p(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 24*m - 18. Let r be d(-10). Let h be (-1)\/((-2)\/7)*(-24)\/(-21). What is the second derivative of 3*s - 2 + h - 2 + r*s**4 wrt s?\nAnswer: 264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 4. Let v = k - -19. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(3 - 3 - i)*(-477 + 61 - 56) as w + t*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60012 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-28)*5\/(-10)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 3*s - 2*t - 62, 177 + 194 = -2*s - 2*t + 361 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 572137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/6)\/(1\/(-6)). Solve -t = t + 3*r - j, -3*t = -3*r - 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6280 is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let k be g(-2). Let a = 95 + -98. What is the second biggest value in k, 0.4, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28859841, 28859837, 28859831, 28859823, 28859813, 28859801, 28859787?\n\"Answer: -h**2 - h + 28859843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let a(t) = 26*t - 4. Let z(q) = 9*q - 1. Let f(s) = -3*a(s) + 8*z(s). Determine -f(r) + 3*x(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(2\/5)*z)**1 assuming z is positive.\nAnswer: z**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxt when three letters picked without replacement from {x: 4, t: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/519824753 or -1?\nAnswer: -2\/519824753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**2 - 4*v - 45. List the prime factors of b(-6).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 98 = 39*a - 43*a, 20 = -a - k - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v + 24 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, 1571, -195 in decreasing order.\nAnswer: 1571, -135, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p - 80. Let a be i(11). Suppose -20 = -2*l + a. Solve -5*g + l = 3*n, 3*g - 7 = 2*n + 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429749*z - 5*o = 429754*z - 95, -2*o + 38 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6682705955 to the nearest integer?\nAnswer: 81748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7976.8 - 7977. What is the third smallest value in 2\/9, -4\/7, -0.8, -5, m?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1854 and 1854.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inon when four letters picked without replacement from {n: 4, i: 2, p: 2, a: 1, o: 2, t: 9}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 54*j - 19. Let b(h) = -h**2 - 11*h. Calculate b(i(x)).\nAnswer: -2916*x**2 + 1458*x - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5395 + 684*t**3 + 538*t**3 - 57*t + 26*t + 30*t wrt t?\nAnswer: 7332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (649 - 389 + 658 + 418)*(-5 - k**2 + 3 - 2) as r*k + h*k**2 + f and give h.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -74, -232, -536, -1034, -1774?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15)\/(10\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, h: 1, y: 2}. Give prob of sequence hm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2775?\nAnswer: -2778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2134 (base 5) to base 6.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:46 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 698.45701 and -3?\nAnswer: -2095.37103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**8\/2100 - r**7\/525 + r**5\/75 - r**4\/30 + 2*r**3 - 4. Let m(v) be the third derivative of a(v). Factor m(y).\nAnswer: 4*(y - 1)**3*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -25 - 35. Suppose 3*t = 2*t + r. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 3. Suppose -3*c - 5*f = -c - 8, -49 = -5*c + 2*f. Let g be z(c). What is the greatest common factor of 45 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 1.3\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 141191 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3002173 is divided by 1911.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*o + 13 + 3, -2*a = 4*o + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1182 (base 9) to base 4\nAnswer: -31310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38647, -38669, -38713, -38785, -38891, -39037, -39229?\n\"Answer: -i**3 - 5*i**2 - 38641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*z + 15. Let b(f) = -f**2 + 9*f + 1. Let p(n) = -4*n. Give z*p(h) + 2*b(h).\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 20082*a - 221172. What is t(11)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 63.4\nAnswer: 887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1069171?\nAnswer: 106917.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 22*y**3 - y**2\/2 + 7*y. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 1. Let m be a(4). Suppose -x + 82 = -3*r, 4*r = -3*x + 196 - m. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d + 47. Let u = d - -52. What is the remainder when 67 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 77 = 3*r, -125 = -5*r + 2*g + 5. Suppose 3*n + 3*z = -r, -n = -6*n + 2*z - 5. Let x(i) = i**3 + 4*i**2 + 3*i - 4. Calculate x(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*p + p + 4, -j - 28 = -5*p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 2*l**2 - 5*l + 4. Let y be i(3). Let g be (-8)\/y - (-4 + 3). Let b = g - 3. Solve b*j + 16 = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 531.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-376)\/(-141)))\/((-6)\/(-20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1888*o - 9129 + 16681 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 10*l + 1040 = 8*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z + 1. Let h be (7 - -1)\/(4\/2). Let o be (1 - 0) + -2 + h. Let r(k) = -9 + 5 + k + o*k - 5*k**2. Determine r(b) + 4*w(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 20. Let f be h(15). Suppose u = -5*a + 19, -f*a + a = -3*u. Solve -2*j**4 + u*j**3 + 0*j**3 - 112 + 112 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 7\/13 (c) 5\/6 (d) -0.01 (e) 5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -38784 + 3*k**4 - 22*k**4 + 38799 + (-2*k + 4*k - 3*k)*(2*k**2 - k**3 - 2*k**2) as i*k**2 + u + v*k + x*k**3 + h*k**4 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 + 4. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 116, 117, 118, 119, 120?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -314*p - 16316. Calculate the least common multiple of 11 + (1 - (0 + 0)) and q(-52).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) - (sqrt(132)*-2 - sqrt(132)))*3 - -1*sqrt(132)*-2)\/(sqrt(72)\/(sqrt(12)\/sqrt(2)) + (sqrt(12) - sqrt(108)\/(sqrt(9) + sqrt(36)))).\nAnswer: -39*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-18)*2\/(-60))\/(75\/(-100))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001115 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 3, b: 1, j: 3, i: 2}. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 3*o**2. Suppose -2*n - 3*m = -0*n - 21, 25 = 5*m. Let r be l(n). Sort -5, -6, r in ascending order.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7166.\nAnswer: 2, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220308*m - 38468 = -219982*m for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 0 + 4 - 10 - 3*z. Let p(h) = 7*h + 11. Let x(w) = -11*o(w) - 6*p(w). Let g(d) = 2*d**2. Determine x(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 5 = 0. Let y = 3 - z. What is the third derivative of 0*c**3 + 4*c**3 + y*c**2 + 0*c**3 wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 4. Let q(o) = -9*o + 9. Give 4*m(y) + q(y).\nAnswer: -17*y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411428.\nAnswer: 2, 73, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 6 - 10*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0438 - -1.4438. Which is the fourth biggest value? (a) 2\/5 (b) p (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-25)*(-5)\/(-2). Suppose 4*w + 2*d = -6 - 4, -w + 15 = -3*d. Suppose 4*g - 12 = -w. Calculate the highest common divisor of l and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*y + 28, 4335*g + 3*y = 4314*g + 246 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -17*y**3\/6 + 30*y**2 - 12*y + 2. Find the first derivative of j(r) wrt r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - 4*f)*(-2 + 2*f**2 + 2) - 2*f**2 + 2*f**2 + 2*f**3 + (f + 2 - 2)*(-3*f**2 + 0*f**2 + 4*f**2) - 2 + f**3 + 2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 899725 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -23*s**2 - 157*s + 28. What is w(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 912333 divided by -689\nAnswer: -912333\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/96 + -7*26\/728.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 1 x when three letters picked without replacement from {z: 2, x: 4, v: 1, e: 12}?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -315 + 153 - 2*r + 3*r + 149. Let c(z) = 4. Give 7*c(x) + 2*i(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1228 - 132*h - 1228 + (0 - 2 + 4)*(h - 2*h + 0*h).\nAnswer: -134*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-36)*(-4)\/6*0. What is the smallest value in 4\/7, 4\/15, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3487.82 + -2437.2. Let s = 1042 - j. Round s to one decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -37*c - 4. Let x be g(-5). Suppose 85*w + 1821 - 291 = 0. Let t = w + x. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:47 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7757 + 49824. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1238 (b) -308 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 32, 46, 44, 14, -56, -178?\n\"Answer: -2*q**3 + 10*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 477\/45 + (-2)\/(-5). Suppose -u*l + 34 = 1. Suppose -2*f = -2*x - 16, l*f + x + 4*x = 40. Solve -f = -q - 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 9. Let h(g) = 2209*g - 2184. Calculate the lowest common multiple of h(1) and l(6).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/9))\/p*(p\/(p**(2\/3)*p*p))\/p)\/((p**(-1)*p)\/(p**(-7)*p)))\/((p*p**0)**12*(p*(p*p**(-2\/7)*p)\/p)**(4\/13)) assuming p is positive.\nAnswer: p**(-17540\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32.72887ng?\nAnswer: 0.00000003272887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00648618671 to four dps.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*-3)\/(sqrt(567)*1).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a**2 - 180*a - 5. Let b be o(13). Let v be 2 + 1\/(1\/3). Solve 6 = -v*d + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 67\/((-67)\/12) + 170.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 + 12*y**2 - 17*y + 9. Calculate j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 8) in base 14?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (102 - 102 - 11*t**2)*(-2 - t + 2) + (12 - 12 + 12)*(-7 + 2 + 3)*(4*t**3 - 4*t**3 - 4*t**3) in the form j*t**3 + s*t + u*t**2 + w and give j.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 28. What are the prime factors of 1 + c - (-110 + 18)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-14)\/(d\/(d**(2\/7)\/d*d))**(-2\/81) assuming d is positive.\nAnswer: d**(10\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6540 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*t + 35. Suppose -2*f + 17 = 3*v, 4*v + t*f + 5 = 21. Suppose -v*b + 3*b + 480 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = 0, -5*w - c - 4*c - 25 = 0. Suppose 2*z - 1 = -3*m, -2*m - 3*z = m - 3. Let v be (w - m*4) + -2. Which is greater: 1\/3 or v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -1, 46, 133, 272?\n\"Answer: 2*i**3 + 2*i**2 - i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*n + 43*n - 51 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72017625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-40)*5\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1029\/179?\nAnswer: 1029\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7310, 7456, 7700, 8048, 8506?\nAnswer: 9080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -c0?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/64800 and 62\/18225?\nAnswer: 583200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35275.\nAnswer: 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*b + 52388 = 0, 6*q + 2*b - 52406 = q. Suppose -w = 4*d - 10480, 2*w - q = -4*d - 2*w. What is d rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4 + 5*y**3\/3 + y**2 - 522. Let u(a) = 9*a**3 + 11*a**2 + 5*a. Determine 2*u(q) - 5*v(q).\nAnswer: -2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 (base 10) in base 8?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -13 - ((42 - 22) + -24) - (-7 - -116).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -789137 - -1690828. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 11 = 47. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220182983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 plus 0.25177?\nAnswer: 133.25177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lallalalllllllalla. What is prob of picking 4 a?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4879290 and 3415503?\nAnswer: 34155030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -247. Solve 4*p + 2*j - v = 0, p + 1 = -4*j + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402\/536*272\/36\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*464\/87)\/42.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 21 (c) -0.05 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 2255424?\nAnswer: -2255451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-3 - (107 - 3)). Let k = n - -103. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/5 - 66*b\/5 + 3596\/5 = 0. Calculate b.\nAnswer: -62, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2174 - -2170. What is the second biggest value in -358, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421 by 5.\nAnswer: 421\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 27*p + 85 + 380 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 714480266.\nAnswer: 5715842128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc30 - 5?\nAnswer: cc2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = 4*q. Let h = q + 4. Suppose 2*g + 3*y = -2*y + 6, 2*g - y - h = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17528 and 0.3?\nAnswer: -5258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3446.\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*z**2 - 309412*z - 268822.\nAnswer: -8*z - 309412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 49 = 2*c, -13 + 119 = 5*c - 4*t. Suppose 4*k + 14 = 2*i, -5*k - 4*i + 7 = -8. What is the lowest common multiple of k\/4 + 98\/8 and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*j = -29, -i + 2*j - j - 1 = 0. Put -3, i, -2, -4 in descending order.\nAnswer: i, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 5*b + 35 = 6*r, -5*r = 3*b + 21 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -67*w**2 + 71 + 370*w**2 + 139*w**2 - 305. Let y(n) = -2*n**2 + 1. Let u(f) = -2*p(f) - 468*y(f). Let z(g) = 2*g + 0*g - 3*g. What is u(z(c))?\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -g + 27, -a = -2*a - 2*g + 18. Suppose -2 + 0 = 5*x - 2*j, 4*x - 5*j = a. What is the common denominator of (-775)\/30 + x\/3 and 75\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127337202 greater than 127337200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 - 5*z + 1. Is i(-3) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/5 + 4022*k**3\/5 - 1208*k**2 + 2014*k\/5 = 0. Calculate k.\nAnswer: -1007, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, k: 2, j: 4}. What is prob of sequence kbbk?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1712 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 6*a**2 + 13*a**2 + 0*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 42*o = 18. Let j = 192 + o. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*o = -7*z - 18, -4*z = 3*o + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**8)\/s**(-15\/7))**(2\/89) assuming s is positive.\nAnswer: s**(-68\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c0 (base 16) in base 5?\nAnswer: -121134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrrrrrrrrnrorrrr. What is prob of sequence rrn?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 21*m**2 + m - 2. List the prime factors of t(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/1)\/(9\/(-15)). Is (-1*1087)\/(c\/(-3 - -8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f + 98*f - 54*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 49014, -0.34, -4 in descending order.\nAnswer: 49014, -0.34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0*v**3 + 0 - 2*v**2 + 1\/126*v**7 - 11\/12*v**5 - 201*v - 85\/72*v**4 - 5\/24*v**6. Let i(w) = 0. Calculate w.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 - 25*k**2 - 76*k - 3. Let a be z(-3). Let y(p) = p**3 + p**2 - p + 1. Let o(r) = -126*r**3 - 108*r**2 + 108*r - 108. What is a*y(g) + o(g)?\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 764 and 143312.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 + 0*s + 0)*(4*s - 2*s - 3*s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 657961*k**3*u**2*v - k**3*u*v + 2*k**3*v + 13*k**2*u - 17*k*u*v - k*v + 8*k wrt u?\nAnswer: 1315922*k**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + -147. Solve s - a + 3 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/56*-1*4)\/((-13)\/((-156)\/1125))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 19*i**3 + 12*i**2 - 102*i - 294. Let s(m) = 8*m**3 + 5*m**2 - 41*m - 118. Give 5*n(x) - 12*s(x).\nAnswer: -x**3 - 18*x - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -s + 262558, 5*r - 28*s + 29*s = 1312778. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 4*z + 17, 3*a - 2*a + 2*z + 9 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 28. Let t = v - -14. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Suppose 3*h - 4*q - 54 = 0, -c*q - 18 = -h + q. Put -0.3, 2\/7, h in decreasing order.\nAnswer: h, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*m**3 + 2*d**2*m - 121*d**2 + 83*m**4 wrt m.\nAnswer: 12*d**2*m + 996*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 88, -3.\nAnswer: -3, 7, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 6*b + 4. Let d = -51 + 57. Let u be a(d). Suppose t + 15 = u*t. Put 4, -1, t, 3 in decreasing order.\nAnswer: t, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + -8 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**3 - 18*v**2 - 30*v - 11. Determine y(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dagu when four letters picked without replacement from {a: 3, u: 1, g: 3, d: 3, e: 1}.\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/8 - 29*x\/2 + 115\/8 = 0.\nAnswer: 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/(-204) - 6)*(126\/45 + -1) + 7?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2032919 weeks to minutes.\nAnswer: 2049.182352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/80)\/((-3)\/(-330))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/(h**(1\/5)*h)*h))*h)\/h*h*h*(h*(h*h**(-14))\/h)\/h*(h**(-2\/5)*h)\/(h**(3\/8)*h) assuming h is positive.\nAnswer: h**(-439\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60566 + 2?\nAnswer: -60564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148256032 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 4*x**3\/15 - 54*x**2\/5 - 112*x\/5 - 139. Factor z(i).\nAnswer: 4*(i - 28)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 11*z + 3. Let n be h(11). Solve -5*l + 12 = 2, 11 = -n*i + l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-736 - 929 + 1818 + (0 + 2 - 1)*(3 - 1 + 6))*(-2*o - o + 5*o) + (-3 + 4 - 2)*(-3*o + 4*o + o).\nAnswer: 642*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61887*y**6 + 868*y**3 + 191*y**2 + 14*y - 18519 wrt y.\nAnswer: 7426440*y**3 + 5208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50430277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 43. Let h = o + 83. What are 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 remainder when 299730 is divided by 8535?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21*126\/12*13\/(-234).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 31*m**2 - 15*m + 4. What is n(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/44)\/((-342)\/(-209)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 3. Let v(u) = u**3 + 9*u**2 + 7*u - 3. Let i be v(-8). Let y = 9 - i. Sort y, w, -3.\nAnswer: -3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-1*(sqrt(539) - (1 + sqrt(539))) + sqrt(539)))**2.\nAnswer: 224*sqrt(11) + 8636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -122*j**6\/5 + 118*j**3\/3 - 744*j. Find the second derivative of x(o) wrt o.\nAnswer: -8784*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7.3. Let f = m + 0.3. What is the closest to 2\/5 in 2\/5, -5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 3*n**2 - 6*n**2)*(104*n + 1091 - 545 - 542).\nAnswer: -520*n**3 - 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 135.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 + 11*v + 8. Let a be c(-8). Let z = 344 - 604. Let h = z + a. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018829 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1111110001 (base 2) to base 11\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -1.3?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7818534 is divided by 968?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 12:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 24*p**2 + 22*p + 22. Let a(d) = d**2 + d + 1. Let r(y) = 44*a(y) - 2*b(y). Let t(l) = -l. What is r(t(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 22*r + 28. Let k be f(-1). Solve 5*p + 2*s - 3 = k*s, 0 = 2*p - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*t = -3185, -t + 4419 = 4*r - 1944. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1)*(-i + 9*i - i + 6).\nAnswer: 14*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/5))**(2\/51))**(-4\/5))**6 assuming n is positive.\nAnswer: n**(-96\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8. Let k(y) = -y - 3. Let l(a) = -k(a) + o(a). What is l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.019.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 38 + (2 - 1) - -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2*f**3\/3 + f**2\/2 - 9*f + 11. Let d be j(-5). Is d > 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3742 is divided by 1797.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 712949 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k - 72 = 67*k. Suppose c - 9 = -t, 0 = 2*t - 0 - 10. Suppose 37 = 4*o + 3*s, 3*o - 20 - 13 = -c*s. Calculate the least common multiple of k and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 1926850.\nAnswer: 21195350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 792887 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/112 and 9\/983206.\nAnswer: 7865648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13067.04 centimeters to nanometers.\nAnswer: 130670400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((20 - 19) + -4)\/(9\/(-543)) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16274155613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639865377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 18*m - 62*m - 189 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 4, -2 in descending order.\nAnswer: 4, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 1\/30*k**6 + 0*k**4 + 2*k**2 + 1\/60*k**5 + 0 + 0*k**3 + 0*k. What is the third derivative of o(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6882874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**3 + 2*s**2 - 4*s. Let y(l) = 14*l**3 - 7*l**2 + 11*l. Let v(h) = 11*d(h) + 4*y(h). Find the third derivative of v(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + j + 23 = 0, 3*k + j - 25 = -6. Suppose c = -5*m + 19 - 2, -m + c = -k. Suppose -m*f + 2525 = -711. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3459 or -10376\/3?\nAnswer: -3459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 2*j + 1. Suppose 0 = -i - 0 + 1. Let n be x(i). Let q(b) = -b**3 - b**2 + 2*b + 2. Give q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2436 or 2429?\nAnswer: 2429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + 0*d**3 + 0 + 1\/6*d**5 + 7\/120*d**6 + 0*d**4 - 6*d**2. What is the third derivative of r(b) wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 3197 - 1483 = 1364 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5 + 26. Suppose 3*j = q*j - 8. Suppose j*k + 677 = 3*f, -f - 2*k + 438 = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - m - 2*m)*(-2*m - 6*m + 1 - 2).\nAnswer: -16*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 36. What is s(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3072 + -2898. What is the least common multiple of q and 319?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-108))\/(2 - (-48)\/(-18))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) 3\/2 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743207?\nAnswer: 2743207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkkk when four letters picked without replacement from {b: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*5\/20*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 - 10*l + 8. Give b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 4\/7 (c) 972 (d) 22 (e) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46140, 46142, 46146, 46152?\n\"Answer: s**2 - s + 46140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1040*s**3. Let k be 1 + (-4)\/(-8)*0. Let z be b(k). Suppose -15*c = -5*c - z. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadddaddadddaddddd. What is prob of sequence ad?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12, 269, 2, 5.\nAnswer: -12, -4, 2, 5, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533956647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 104 = -c + 2*z, 3*c + 3*z + 609 = 453 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 30195*j**2 + 3*j**3 - 30210*j**2 - 2*j**3 + j - 34 - 3*j**3 + 6*j. Determine c(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, g: 2, y: 2, w: 2}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 14 + 16 = 0. Suppose 14140 + 31160 = v*g. Round g to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.1. Let i = 41.6 + -0.6. Let f = -40.8 + i. Which is the third biggest value? (a) f (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 - q - 3. Let i be p(-7). Suppose 5*x = -3*h - 211475, i*h = 9*h + 2*x + 352490. What is h rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 32. Suppose t*w = 3*w + 2045. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*l**2 + 11*l**2 - 10*l**2)*(-6*l**2 + 3*l**2 + l**2) - 2*l**4 + 6*l**4 + 0*l**4 in the form b*l**2 + m*l**3 + x*l**4 + f*l + j and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {x: 3, m: 3, v: 3, n: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 245 = 5*t, -227683 = -2*i + 5*t - 227585 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, 1 b, and 1 z when four letters picked without replacement from {x: 9, b: 1, r: 4, z: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, n: 1, x: 5}. What is prob of picking 1 x and 1 n?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -57. Solve 6 = -4*a + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 8*n**2 - 35*n - 20. Calculate g(-9).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -625 + 1155. Let t = -530.000001611 + f. What is t rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h + 5. Let a(c) = -7*c + 6. Let n(z) = -5*a(z) + 6*r(z). Let d be n(-5). Solve d*i = -0*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 461219554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b**4)*(-3 + 1 + 0) - 59*b**4 + 133*b**4 + 152*b**4 + (b**2 - b**2 - 2*b**3)*(-5*b + 4*b + 2*b).\nAnswer: 220*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**2 + 3*u**3 - 168*u - 33 - 28 + 190*u + 60 to v*u**3 + p*u**2 + w*u + i and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 39065?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -11. Let f = -26 - -26. Let g = f + 6. What is the greatest common divisor of t and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 396*b + 36716. Determine c(148).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69472936 to the power of 1\/2, to the nearest integer?\nAnswer: 8335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -3*x**4\/8 - 2*x**2. Let r(o) = o**2. Determine r(m(t)).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*((-5)\/3 - -2). Let d = -3 + l. Let h(r) = r + 0*r**2 + 3*r**d - 7*r**3 - 4*r**2. Calculate h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - 5*i - 9. What is the tens digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17065 + 10\/(-4)*(-4 - -2). Let d = i + -2803. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20476139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1992 and 11\/104740?\nAnswer: 52160520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -125881 times -0.1\nAnswer: 12588.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (66 - (-64 + 144))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*p - 218*p + 61*p + 182*p + 2.\nAnswer: 158*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3\/2*-1). Let o = -75 - -75. Which is bigger: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 7*z**2 - 4*z - 1. Let g be v(-3). Let d be 117\/4 - 4*1\/16. Let p = g + d. What is the second smallest value in p, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.09 - -15. Let o = -0.02 + j. Let h = o - 2.89. Which is the biggest value? (a) h (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 2058 = -2*z. Suppose 14*t + 32*t = -18*t + 128. Put z, -2, t, 5 in increasing order.\nAnswer: z, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 + 36*a**4 + 108*a**3 + 108*a**2.\nAnswer: 4*a**2*(a + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u**2 + 2*u - 3. Is t(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/(-36) + 4\/3. Suppose -560 = c*b + 4*b. Is 3\/(-2) + b\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:41 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v**2 + 6*v**3 - 7*v**2 - 24*v**2 - 4. What is the tens digit of r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 9*y + 38*y - 17*y. Let d(i) = i. Let z(c) = 3*c - 12. Let b(q) = 4*d(q) - z(q). Let l be b(0). Calculate the highest common factor of l and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + y = 77 - 80, -2*y = -5*c + 9. Sort -3, 547, c.\nAnswer: -3, c, 547","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 57 + 3*h**2 + 168 - 2*h**2 + 164. Let w(f) = -6*f. Determine p(w(v)).\nAnswer: 36*v**2 + 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 273 = -5*h - 323, 0 = -5*h - 35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 6. Is (-5 - 2633)\/(2 - m)*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srw when three letters picked without replacement from {u: 2, w: 4, s: 2, r: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 389 + -409 + 13 + 3 - 24.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4825\/225 - 21)\/(4\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by 53.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4104 - 465 + 4521 = 0. Calculate the remainder when c is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 9*i - 4. Let g be q(8). Let u = 45 - 29. What is the remainder when u is divided by 34\/g - (-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 673519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 18738\nAnswer: -131166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1)\/((-1)\/4). Suppose m - 150 = -b*m. Calculate the lowest common multiple of 4 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2933.73*-11.\nAnswer: 32271.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13120113 - 413440?\nAnswer: -14034103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -27416, 607, -1, 3 in descending order.\nAnswer: 607, 3, -1, -27416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187 - -749\/4. Put -5, 0.3, s in increasing order.\nAnswer: -5, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1331) + -1.\nAnswer: -1 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(-3)*11 - (-75 - -71)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 + 8520?\nAnswer: 7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*n**5 - 171*n**4 + 336*n**3 - 243*n**2 + 12*n + 36 = 0. Calculate n.\nAnswer: -3\/10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1314 - 6568\/5. Which is the second biggest value? (a) -13\/5 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*x = -12, -5*x + 55 = 4*y + y. Let t = -10 + y. Suppose -2*o + 106 = -t*o. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1433781 and 1053?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m - 4*b + 18, -4*m = -4*b - 12. Solve m*o = 5 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6569180467 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**4 - z**4 - 3*z**4 + (1 - 1 - 2*z)*(-4*z**3 + 0*z**3 + 2*z**3).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z = 162*z - 1848 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**3 + 509*x**2 - 107*x + 164. What is the thousands digit of g(72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2212)\/63*((-9)\/(-24) - 0). Let v = w - -27\/2. Which is the nearest to -1? (a) 1 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -150*l + 155*l, 3*x = -l + 3. Sort x, 0, -77 in ascending order.\nAnswer: -77, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77.2 + 78.2. Which is the biggest value? (a) 775 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -45, 9658.\nAnswer: -45, 5, 9658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*16375\nAnswer: 34387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14 - 51\/63?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 20*f**2 - 3*f - 45. Give g(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 5*n**2 + 2*n - n**2.\nAnswer: -6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 - n - 4. Let s be v(-3). Let q be s\/((-375)\/(-378) + -1). Suppose -3*a = a + 2*b - q, -3*b = 4*a - 127. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 2. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00056442 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {c: 11, d: 3, y: 3, q: 1, t: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 14. Let u(f) = f**2 + 15*f + 13. Let s be u(-15). Let v be j(s). Which is the nearest to 1\/4? (a) v (b) 0.5 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 489125553979*h**2 + 489125553979*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17.5. Which is the biggest value? (a) 2 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:43 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1922*m + j - 14 = 1934*m - 0*j, 0 = -3*m + 3*j + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63251.19 months in centuries?\nAnswer: 52.709325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.41 less than -55512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose z = 2*c + c. Suppose m + 3*h + 9 = 0, m + h - c = -0. What is the remainder when 10 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22072380206 and -7.323.\nAnswer: 22072380198.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozyz when four letters picked without replacement from {e: 1, q: 2, z: 4, y: 1, o: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 96?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 524094234 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) -148 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*(-2 - -2). Suppose -2*k + 12 = -r*k. Suppose 0 = -2*c + 25 + 5. What is the remainder when c is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4062110 and 234.\nAnswer: 36558990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1360*w - 19911 - 38569 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:04 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 94674*s. Let c(i) = -110*i**2. Calculate d(c(q)).\nAnswer: 24200*q**4 + 10414140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3923449962 minus -2?\nAnswer: 19.3923449962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 28208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - 4*n**2 - 6*n + 4. Give t(5).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -44, -35, 5, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:41 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + (sqrt(448) + 0)*2 + -5 + 1)*-1*1)**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 220, -27, -1, 3 in descending order.\nAnswer: 220, 4, 3, -1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-3) + -45 + 32\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*a - 154*a - 11305 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, e: 1, b: 1, a: 1}. What is prob of sequence ae?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317214 rounded to three dps?\nAnswer: 0.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17236 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/6 - s**3 + 2*s**2 + 23*s. Factor v(i).\nAnswer: 2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2670242 - 1?\nAnswer: -2670243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2 + 9*w - w**2 - w**2 + w**2 + 2. Let o = -7 + 14. What are the prime factors of b(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 5, -4\/669, 352?\nAnswer: -4\/669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 374, 0.5, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 + 46\/10. Suppose l*a - 9*a = -80. Let q be (a\/5)\/((-2)\/(-10)). Solve 5*j + 11 = 4*b, j + 3*j = 5*b - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1445 in 2\/15, 2, 4\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 38*a**2 + a - a.\nAnswer: -38*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019065945 rounded to seven decimal places?\nAnswer: 0.0001907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 24*g**3 - 7*g**2 + g + 10. Let s(i) = 46*i**3 - 13*i**2 + 2*i + 19. Let n(d) = -11*l(d) + 6*s(d). Is n(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224350002 divided by 2?\nAnswer: -112175001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 80*m + 14. Let f be l(30). Let b = 316 + f. Let s = -13 - -53. What is the greatest common divisor of s and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -0.92. Let f = -2.145 - g. Let z = f + 2. What is z rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -17. Let x(m) = -m - 1. Let b(t) = -68*x(t) + 4*y(t). Let w(s) be the third derivative of s**5\/30 - 21*s**2. Determine b(w(r)).\nAnswer: 136*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -19509.\nAnswer: -15\/6503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, q: 2, n: 1, u: 3, w: 3, l: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 35 + 14*b + 9 + 8 + 13 to the form x + l*b and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238531?\nAnswer: 238531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 16*r - 53. Let h be m(12). Let k be ((1 - 1)\/h)\/1. Solve -5*z = u + 12, -z + 3*u - 2*u = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 626*x**3 - x**2 + 485*x - 9. Let j(u) = 623*u**3 + 484*u - 6. Let z(b) = 3*j(b) - 2*l(b). What is the second derivative of z(v) wrt v?\nAnswer: 3702*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c + 1. Let o(w) be the first derivative of 8*w**3\/3 - 2*w**2 + 4*w - 4994. What is 16*m(d) - 4*o(d)?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 27. Let v(m) = m + 16. Let p be v(0). Let o be g(p). Solve q + 4*k - 4 = o*q, q = -3*k - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 991276 and 9477.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-102)\/(-119))\/((-2)\/(-35)). Solve 4*s = v - o, 7 + 10 = -5*v - 3*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 7. Let m(f) = f + 38. Let y be m(0). Suppose -5*u - d = -y. Solve 19 = -u*s + 3*l, -2*l + l - 1 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79718701 times -0.5\nAnswer: -39859350.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -71. What is the highest common factor of 105 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u - 8. Solve 2*v**2 - v**3 + 0*v - 3*v + u*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let n be (-9)\/(-6)*8\/3. Suppose n = -6*o + 2*o. Let p be (o - 10\/8) + 2. Which is the third biggest value? (a) -5 (b) -2\/15 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 665311*y + 1995948. Determine j(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 94352571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -38*q + 17*q + 35*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*h - 16 = 0, 4 = -r - h + 5. Let v be 4*(r + (-27)\/12). Sort v, -5, -4, 4 in descending order.\nAnswer: 4, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -2\/37 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7835, -5, -3 in ascending order.\nAnswer: -5, -3, 7835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30057090 divided by -127\nAnswer: 236670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*y + 29, -31*o + 29*o - 4*y = -10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 9 - 1 - 1367*s + 22 + (-2*s + 0*s + s)*(3 + 2 - 4) - 2*s + 5*s + s.\nAnswer: -1364*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) - (-40)\/18. Suppose 5*p - 2*p - 30 = 0. What is the greatest common divisor of p and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 8*d - 7. Let p be 7 - 3 - -2*(-74)\/(-4). Let q = 35 - p. Let l be r(q). Solve -h - 16 = 2*h - i, 3*h + l*i = -10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13998114879 + 13998114979.99999953. Let n = 101.053 + -0.053. Let h = q - n. Round h to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 7) to base 15\nAnswer: 18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*j**6 - 376*j**2 - 1.\nAnswer: -16440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54263 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 781 + 1084 = 0. Let i = -258 + g. What is the common denominator of -127\/18 and 1*-1 - i\/(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose 2*m - d*k - k - 29 = 0, -5*k = 4*m + 17. Suppose 3*q - m = q. Solve 3*h = -q + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1094970 and 441830?\nAnswer: 25184310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.05, 362?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 122875 = -7*j + 22271. List the prime factors of j.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*u + 56 + 167 = -153. Solve 6 = 2*v - u*i + 8, v = 2*i - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0, -2.\nAnswer: -2, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 202285, 1618208, 5461385, 12945442, 25284005, 43690700, 69379153?\n\"Answer: 202271*l**3 + l**2 + 23*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 + 502872*d\/7 - 143680.\nAnswer: 4*(d - 2)*(d + 125720)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**4\/2 - 119*b**3\/2 = 0. Calculate b.\nAnswer: 0, 119\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283117 is divided by 761037.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 14 + 0)*(0*q + 4*q + 4*q)*(5 - 3 - 3) to h + l*q and give l.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -791?\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40244467\/3 or -13414821?\nAnswer: -40244467\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136150 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + a58b4?\nAnswer: a58cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**2 + 17239468*y - 844922199 wrt y?\nAnswer: -2*y + 17239468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 70, -1, 17.554 in ascending order.\nAnswer: -1, 0.01, 17.554, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzv when three letters picked without replacement from {q: 5, v: 8, z: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lliilllllli. Give prob of picking 2 l and 1 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 160 = 16*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/7150 and -119\/10962250?\nAnswer: 120584750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 900.693 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 + 57 = -17*u - 21 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 53 - 168 - 2*y.\nAnswer: -2*y - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:04 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4112753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*s = -226*s - 72. Let r(l) = l**3 + l**2 - 3*l - 5. Determine r(s).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 421465\/(-22) + (-1)\/2. Let v = c + 344945\/18. Let m = -793029\/28 + 28319. What is the common denominator of m and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/7 - 93276952*g\/7 + 1087573721801288\/7 = 0. Calculate g.\nAnswer: 23319238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = 5. Suppose -d - 233 = -3*g - 3, 150 = 2*g + d. Suppose 2*q - g = -l*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*u - 115443 - 1327461 = -u. What are the prime factors of u?\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -60. Let b = 3.93 - -0.07. Put f, b, -3 in decreasing order.\nAnswer: b, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7129531?\nAnswer: 41, 173891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/49995575 and 7\/6540.\nAnswer: 599946900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14369308?\nAnswer: 2, 3592327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-5) - (-6)\/15. Suppose -5*j - d + 9 = -0*j, -j - 2 = 4*d. Let h(r) = 5*r**2 - 3*r**3 + 0*r**2 + 3 + 0*r**j + 2*r**3 - 5*r. Determine h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4058.61 seconds?\nAnswer: 4058610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 229, 454, 679?\n\"Answer: 225*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 2, j: 1, h: 1, a: 1, c: 1}. What is prob of picking 1 j, 1 w, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/10*-1104 - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 - 2 - 15189*z + 15185*z.\nAnswer: -4*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -146. Let m = -19 + z. Let d = -44.954 + m. What is d rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*sqrt(8))**2*6.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let c be h(7). Suppose 13 = -c*z + 53. Which is smaller: z or 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.6688 meters in kilometers?\nAnswer: 0.5936688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166932 and 120.\nAnswer: 1669320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 2742474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*u + 4*u + 22 = 0, 5*v = -u + 34. Suppose -4*l + 10 = v. Let k = l - 12. What is k rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3123 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155353, 621422, 1398169, 2485564, 3883577, 5592178?\nAnswer: 7611337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*j**2 + 1504*j**2 - 516*j**2 - 508*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*i = -0*i - 2, 4*i - 4 = -m. Let g be (-8)\/12*((-9)\/(-3) - -3). Let l be (g - 0\/(2 + -4)) + 4. Solve -t + l + 1 = m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 37788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1942 - -1941.91742. Round w to three dps.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1201 (b) 0.627 (c) -1\/4 (d) 1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 387 + -277. Calculate the common denominator of -47\/2 and 20\/r - (-958)\/660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 382 + -382. Suppose j = -5*t + 110 + 50. What is the least common multiple of 16 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in 0, 7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, n: 4, i: 3}. Give prob of sequence tni.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuud when four letters picked without replacement from rrdancrucnrcuaa?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - a + 2. Let k be l(-2). Let d = 17 + k. Suppose -4*r + 2*r = 3*m - 14, d*m + 21 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**2 + 16*g - 39 + 10 - 6*g**2. What is the tens digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -5*i**4\/12 + i**3\/3 + 4*i. What is the second derivative of z(b) wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1749060 and 276500?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 8. Let c(q) = q + 2. Let d be c(5). Let p be a(d). Let s = 9 - p. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**3 - 3\/20*p**5 + 1\/60*p**6 - 4*p**2 + 0*p**4 + 0 + 0*p. What is the third derivative of o(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -7 + 14 - 3) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-363870))\/((-5)\/(-75) + 0). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -306084 divided by 4\nAnswer: -76521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402 + 5503014?\nAnswer: 5503420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.89 + 17. Let z = n + 0.19. What is the nearest to -0.1 in z, -5, 4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*i + 15. Let s be (8\/(-12))\/(i\/(-27)). Suppose s*c - 132 = -0*c. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1006\/4 - (-48)\/(-32). Suppose -5*g + 1195 = o. Calculate the remainder when g is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0219 + -42.9819. Let n = -277.06 - -280. Let o = n - q. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/45 and -141\/1870.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 7*g = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 8) to base 4.\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -81. Suppose 3*t + 4 = -2. Let h = a - t. Solve 2*j = 13 - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 6. Let u = l + -1. Let j = 1\/11 - -26\/77. What is the nearest to u in 2\/3, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/48*(-564)\/(-47)*27\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 4. Calculate the remainder when 51 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86602194 divided by -2.\nAnswer: 43301097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/(-246))\/(4\/(-402)) - 5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 27 - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/11)*x*x**6*(x*(((x*x\/(x*x**(-2)\/x))\/x)\/x)\/x*x*x*x)**(-48) assuming x is positive.\nAnswer: x**(-2561\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - (12\/(-1))\/(-2). Solve c = 3*n - i, 22 = -n + 4*n - 5*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:36 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7373899 to 2 decimal places.\nAnswer: -6.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -356, -845, -1530, -2411?\nAnswer: -3488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**6 - 2505585*s**4 + 8*s**3 + 539155016*s**2.\nAnswer: 600*s**3 - 60134040*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15429*k**4*u - 17052*u wrt k?\nAnswer: 61716*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 - f - 8. Let w(y) = y**5 + 22*y**4 + 6*y**3 - 44*y**2 - 443*y - 51. Let p(a) = 6*j(a) - w(a). Find the second derivative of p(s) wrt s.\nAnswer: -20*s**3 - 264*s**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528254 is divided by 9107?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923714 divided by -16442?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238 + 238 - 6*o)*(2*o**2 + 0*o**2 + 0*o**2).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53\/28 - -15\/7. Let n = -20.3 + 20. What is the nearest to 3 in y, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6698*q + 34 = w + 6702*q, -2*q + 8 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-468169)\/(-9) - (-86)\/387). Suppose a = 31*r + 17020. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*j - 61*j + 235*j as u + y*j and give y.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 2.5. Let t = -8.3 + g. Let f = t - -11.5. What is f rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-718)\/(-1077))\/(((-4)\/30)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14118341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49578211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83640000 rounded to the nearest 1000000?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6492, 15277, 29918, 50415?\n\"Answer: 2928*t**2 + t + 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (15 - 7 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.359469 micrograms in nanograms?\nAnswer: 3359.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2121, 6034, 12541, 21630, 33289?\n\"Answer: -2*l**3 + 1309*l**2 + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.015 + 0.085. What is the fourth biggest value in u, -0.1, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1539 + -23087\/15. What is the closest to -2.5 in -2\/7, -5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*i + 64 = 0, -3*i - 11 = 1. What is the remainder when 55 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -52*l**2 - 98*l - 39. Let v(h) = 17*h**2 + 33*h + 14. Let b(k) = 2*p(k) + 7*v(k). Find s, given that b(s) = 0.\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -27*b - 7. Let v(g) = 28*g + 8. Let y(d) = d**3 - 7*d**2 - 9*d + 6. Let o be y(8). Let t(j) = o*v(j) - 3*i(j). Is t(5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4165*q - 4046. Let v(b) = 12500*b - 12135. Let d(p) = -4*v(p) + 11*z(p). What is the first derivative of d(r) wrt r?\nAnswer: -4185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4747393 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 29, -0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18870, 37741, 56610, 75477, 94342, 113205, 132066?\n\"Answer: -j**2 + 18874*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(-24)*24\/(-20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 9. Let q be -3*(-124)\/(-60) - (-1)\/5. Let s be n(q). Let y = -20 - -34. Solve c + 4*c + 4*r - y = 0, -2*c + r + s = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112854534 divided by 34.\nAnswer: -3319251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, 9, 2 in decreasing order.\nAnswer: 24, 9, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113.3 + 113. What is the closest to -1 in -0.4, o, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 550?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(7) + -1 + sqrt(2420)*3.\nAnswer: -1 + 68*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 15*q - 15. Suppose 5*x = -h + 21, -5*h + 10*x - 5*x - 15 = 0. Calculate the remainder when i(16) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from {n: 7, k: 6, x: 5, o: 1}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15313, -0.654, 3?\nAnswer: 15313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, 3 in increasing order.\nAnswer: -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -344 - 157?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 54, -3, 5 in descending order.\nAnswer: 54, 5, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 23 = -2*c + 4*c, 5*z - 7 = -2*c. Let b(g) = 8*g + 14 + 7*g**2 - 7 + g**z - g. Let p be b(-6). Solve 2*y = 4*i - p - 3, 4*i + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g*g**(-23)*g)\/(g**(-14))**32 assuming g is positive.\nAnswer: g**(2987\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 18*w - 11. Let q be b(-17). What is the highest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -u - 4*m, -21*u - 359 = -24*u + m. What is the remainder when u is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 - 6*p**2 + 13*p - 608 wrt p?\nAnswer: 3*p**2 - 12*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 22 + 5 - 8)*(-1 + 2 + 0)*(8 - 8 + 4*h) to u*h + g and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 105925*g**2. Let b(n) = -2*n**2. Give k(b(v)).\nAnswer: 423700*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from rrmmmm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 66*z**2 - 994*z - 125. What is s(41)?\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Do 246 and 245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70525631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 - (((-651)\/56 - -10) + 2)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15816 is divided by 565.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 2, 169160.\nAnswer: -9, -3, 2, 169160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*k + 102, -4*h + 7*h + k = 153. Suppose -4*s = -h - 49. Let a be 6 + -3 + 0 + 0. Solve 0 = a*o - 3*b - 21, 5*o = o + 3*b + s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 231.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 452?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7362\/(-33129)*(-72)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -587, -1318, -2351, -3692, -5347?\nAnswer: -7322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11605?\nAnswer: 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 6:49 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6588*y. Let t(c) = -4*c**2 + 1. Give p(t(f)).\nAnswer: -26352*f**2 + 6588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 32*j**2 - 28*j - 2. Does 3 divide n(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 63*y + 48. Let r be n(15). Suppose -q + 153 = -2*b, -3*q + 4*b = -290 - 171. Is (q\/r - 2)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(99)*3 + (-3*sqrt(11)*3 - (sqrt(11) + 2)*4))**2.\nAnswer: -120*sqrt(11) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 24. Let w(p) be the first derivative of l*p**3 + 1\/5*p**5 + 3 - 2\/3*p**2 + 0*p + 7\/12*p**4. Solve w(d) = 0 for d.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*(-152076)\/13340\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 230572*p**2 + 461162*p**2 - 230592*p**2 + 183*p**3.\nAnswer: 183*p**3 - 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 1 - 2 + 0)*(-2 + 1 - 1).\nAnswer: 10*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 624 and -474.033.\nAnswer: -295796.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, y: 3, j: 1, i: 4, x: 4}. Give prob of sequence ixjf.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*r = 4*b - 191*r + 1, 3*b - 75 = 26*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/40*-4 + 78\/(-3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j - 38. Let w be m(-2). Solve -21*y + 12 + 30 = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 r when four letters picked without replacement from sssrrrsssrsrss?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7685604 is divided by 403.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*u + 7 = 13, 0 = -u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604506 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32708, -65399, -98090?\nAnswer: -130781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-20) - (-826763)\/(-110). Let v = -2073 - 5441. Let w = v - j. Find the common denominator of w and -9\/118.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12*116*-1. Let a be 4 + -3 + 1 + v. Let c = 99 - a. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let d be n(-2). Let g = -4 + 7. Factor u**3 - 31*u**4 - 6*u**g + 21*u**d.\nAnswer: -5*u**3*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**2 + 24*a - 15. Let x be q(-3). Which is greater: x or 49\/20?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -1\/40*d**5 + 5\/24*d**4 + 22 + 29*d + d**2 - 2\/3*d**3. Let c(r) be the first derivative of l(r). Find o, given that c(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4099, -4 in increasing order.\nAnswer: -4, 4, 4099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37792 + -37780. Let u be (0 - 1) + 4 + 0. Solve u*l + 3*l - d = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f + 4. Let u = 95150 - 95124. What is the least common multiple of u and (-17)\/f - 2\/4?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.049 + 31.2. Let q = -1732.7 - -1733. Which is the second smallest value? (a) q (b) y (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1676554?\nAnswer: 0.5029662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 + 4 = 0. Calculate the remainder when 19 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176965*c**3 + 176975*c**3 - c - 70 - 48 in the form o*c**3 + k*c**2 + l*c + i and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57763785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4179 + 7509. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 2*o)*(-2*o + 4*o - 6*o)*(2 - o**2 - 2).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {g: 3, q: 3, b: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459517120?\nAnswer: 2, 5, 47, 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 5\/6 (b) -0.1 (c) -29.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4003 + -43?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/113 (b) 5 (c) -2211 (d) 3 (e) 1 (f) 0.1 (g) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 - 9*t**3 - t**2\/2 + 27*t - 1183. Factor c(h).\nAnswer: (h - 27)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(-4)*(-2)\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 8, h: 3, l: 4, a: 3}. What is prob of sequence al?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1467 - 1467.2. Let a be (-18)\/8 - (0 - 2). Let g = -2.96 - 0.04. What is the closest to p in -2, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -3.979 (c) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 4)\/(38 - 39) + 11. Solve -n*m + 95 = 115 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**1*r))**18\/(r**(2\/5)*r**(-1\/4))*(r\/(r**(1\/4)*r*r))**(-30)*(r**1)**29 assuming r is positive.\nAnswer: r**(247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499101443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35314492 * -15\nAnswer: -529717380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1.08916 (b) -0.3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 5*q - 5. Let h(k) = 7*k**2 - 11*k + 9. Give 2*h(r) + 5*y(r).\nAnswer: -r**2 + 3*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/3 - 4739524*j**3\/3 - 935965149118*j**2 - 11231524915192*j\/3 - 11231505957128\/3 = 0. What is j?\nAnswer: -1184879, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 1:14 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43470 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4261, -4236, -4211, -4186, -4161, -4136?\n\"Answer: 25*x - 4286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005 (base 6) in base 4?\nAnswer: -12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25116 + -25085. Let f = -99 - -185. What is the remainder when f is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 24*h + 87. Give m(0).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-30)\/(-100)*(-7)\/(378\/6)*8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 651*m - 349 + 306 - 525*m in the form s + y*m and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 0*j)*(56 + 17 - 29 + 115 + 59)*(-17*j + 36*j - 11*j).\nAnswer: -1744*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10792325 to the power of 1\/2, to the nearest integer?\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -625 or -1\/17?\nAnswer: -625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 + 182. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*d - 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2 + 4*k + k + 0*k - 2. Let p(w) = -10*w + 7. Let y(h) = 5*i(h) + 2*p(h). Calculate the smallest common multiple of 16 and y(4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73392\/(-2992) - (-16)\/(-34)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 15 - 10*k - 4*k in the form u*k + q and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 6*k + 2*k**2 - 2*k**3 + 4*k**3 - k**2. Let s be x(-3). Solve 4*i = 8 - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 643\/5. Calculate the common denominator of d and -53\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.554 minutes in milliseconds?\nAnswer: 52653240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 80*d**2 + 49 - 26*d**2 + 13*d - 29*d**2 - 24*d**2. Let n be y(-11). Calculate the highest common divisor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-2)\/6)*3. Suppose -i + 2*q = -2*i + 3, 6 = l*i - q. Let x(z) = z + 3. Let h(v) = -v**2 - 2*v - 9. Let y(m) = -2*h(m) - 7*x(m). Determine y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7039*x**2 + 10798*x wrt x?\nAnswer: -14078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:59 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1070 or 1058?\nAnswer: 1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -8 - -37) + (-1 - (7 - -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(176)\/(sqrt(11)*-1) + sqrt(16)))\/((sqrt(64) + 2*sqrt(64))\/sqrt(8)*4))**2*-5*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + r. Let g(m) = -2*m**3 + 5*m**2 + 2*m + 1. Determine 2*g(j) - 5*x(j).\nAnswer: j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -571132 and 1.\nAnswer: -571132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8 and 18\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547637.\nAnswer: 19, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 3*t**2 - 11*t**2 + 3*t**2. Let p(l) = -27*l**2. Determine w(p(x)).\nAnswer: -729*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -9, 51, 145?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285970 and 4.\nAnswer: 571940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 26*k + 0 + 1.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 11*o**2 - 4. Let g(k) be the third derivative of k**6\/120 - k**5\/12 - k**3\/3 + 70*k**2. Give 13*g(y) - 6*w(y).\nAnswer: y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70253, -140682, -211115, -281558, -352017, -422498, -493007?\n\"Answer: -n**3 + 4*n**2 - 70434*n + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24668960.\nAnswer: 2, 5, 154181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3430*p - 2960*p - 76225 = 53739 + 36176 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 26*p - 85*p + 24*p**2 + 27*p + 33*p - 6*p**2. Give w(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -0.12552.\nAnswer: -6.12552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*o - 21 - 19, -4*o = -8. Let i be (p\/(-15))\/(1\/3). Suppose i*c - 7*c = 7000. Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47964)\/1142)\/((-1)\/(2\/(-78))).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*u = -2*i - 4, -4*u + 20 = 0. Suppose -i*p = -0*p - 420. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/210 - 4\/(-10). Sort 0.6, r, 4, -0.1 in decreasing order.\nAnswer: 4, 0.6, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-2\/9)*y)*y**(-2))\/((y\/y**(3\/5))\/y*y**(-1\/2))*(y**(4\/3)\/(y\/(((y*y**4)\/y*y*y)\/y)))\/(y*y**(-1\/5)*y)**45 assuming y is positive.\nAnswer: y**(-7091\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(-3 + 11 + -6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - 0.1. Let t(k) = -5*k**2 - 3*k**2 + 2*k**3 + 7*k - k**3. Let u be t(7). What is the second biggest value in -2, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -0.2, -189830, 4\/7 in decreasing order.\nAnswer: 95, 4\/7, -0.2, -189830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218 = 332*b - 37*b - 847 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 42*p - 11. Let m(v) = 2*v**3 - 40*v**2 + 149*v - 3001. Let q be m(20). What is o(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*b + 24, -4*j - 3*b + 8 = 1. Let z be (-1 - (-1)\/j)\/(-3). Sort 1, 5, z in descending order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let i(n) = -19*n**2. Suppose -15 - 50 = 5*k. Let j = 21 - k. Let q(m) = 3*m**2. Let r(z) = j*q(z) + 6*i(z). Determine a(r(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*14\/(616\/33).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose -3*j - 6 = -5*j. Let z(w) = -7*w**3 + 3 + 2*w**2 + 4*w**j + 4*w**3. Let f(c) = -1. Calculate f(l) + z(l).\nAnswer: l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.02 - -2.2. Let t = -0.18000053 + i. What is t rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - 3*j. Let o(n) = 24*n**3 - 112*n**2 + 16*n + 50. Let p(q) = -2*o(q) - 44*w(q). Determine t, given that p(t) = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0882, -2.912, -2\/7, 0, 4\/3 in descending order.\nAnswer: 4\/3, 0, -0.0882, -2\/7, -2.912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7\/6, 2\/3.\nAnswer: 2\/3, 7\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9638825429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/(0 + -5 + 3). Let d = -9\/22 - 1\/11. Sort -3, d, b in decreasing order.\nAnswer: b, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/(x*x**3))**(-29) assuming x is positive.\nAnswer: x**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3, -0.6, 2\/13 in increasing order.\nAnswer: -0.6, -1\/3, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 7. Let b be c(3). Sort b, 0, -13.\nAnswer: -13, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 106\/6) + ((-4)\/(-4))\/(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbttbtmtmttggt. Give prob of picking 1 g, 1 m, and 2 t.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67667435 - 354509695607\/5239. Let n = -3\/169 - v. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 18163467*l - 18163464.\nAnswer: -3*(l - 6054488)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5086)\/(-9))\/(92\/207)*2.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 209, 194, 161, 104, 17, -106, -271?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+236.6\nAnswer: 236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 2 in ascending order.\nAnswer: -20, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*z = -34174 + 18985 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - f**2)*((0*f - 3*f + 5*f)*(5 - 5 - 2*f**2) - 4*f**3 - 2*f**3 + 5*f**3 - 7*f**3 - f**3 + 2*f**3).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649117*n**3 + 649114*n**3 - 4*n + 4*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1467 + 3?\nAnswer: 146a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 5*y**2 - 3*y + 1. Let m be l(-4). Let s = m + 50. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 11) to base 5\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 19*z + 18. Suppose -36 = 2*a + t, -3*a - 18*t - 53 = -17*t. Determine s(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11914*(-296)\/95312)\/(-1*(-1)\/(-2))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 1. Let j(i) be the second derivative of 5*i**4\/12 - 7*i**3\/6 + i**2 - 8*i. Let t(q) = 4*c(q) + j(q). Give t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -943*k**2 + 4*k + 12. Let d(i) = 1111797*i**2 - 4715*i - 14145. Let y(r) = -4*d(r) - 4715*u(r). Let x(m) = -m. Determine x(y(t)).\nAnswer: 943*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*b + 5124547 = -61*b + 18075837. Calculate the greatest common factor of 55 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -16. Let x(m) be the third derivative of -m**5\/60 - m**4\/3 - m**3\/6 + 44*m**2. Let a be x(r). What is the highest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -s, -5*l = -2*s - s + 60. Suppose f - 2*n - 99 = 0, 4*n = 4*f + 3*n - 417. Calculate the highest common divisor of s and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3267.6 - -3264.6. Which is the fifth biggest value? (a) 6 (b) -4\/7 (c) 1\/26 (d) f (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/9 - 34*h**4\/3 - 838*h**3\/3 + 36214*h**2\/9 - 21496*h\/3 + 3432 = 0.\nAnswer: -26, 1, 9, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -538.90656686 - 5957\nAnswer: -6495.90656686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 282 + -286. Let l(a) = -6*a**2 - 7*a + 8. Let t(r) = 5*r**2 + 6*r - 8. Let g(d) = 4*l(d) + 5*t(d). Let z be g(o). Solve -3*q = -3 - z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-97 - -90) + 3 + -1 + -2 + 56 + 2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 1197?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, 503, -2\/9, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 2:42 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 14771758?\nAnswer: -14771764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6882*o - 7767*o = -14649 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000812067 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 6*y**4 - 4*y**4 + 3*y**2 - 9 + y**3 - y**2 in the form w*y**2 + k*y**3 + h*y**4 + d + v*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 220688, -4 in ascending order.\nAnswer: -4, 0.12, 220688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 2ca5c?\nAnswer: -2ca52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 2. Let z = 7 - -14. What is the remainder when z is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 8*n + 9. Let f be q(6). Let x = 4 - f. Suppose -4*z - 8 = 0, 2*z - 28 = -t + x*z. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 63*a + 6*a**2 - 3*a**2 - 65*a. Let l(p) = -2*p**2 + p. What is -7*l(f) - 4*r(f)?\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 7*l - 4. Let q be h(7). Let r = -2 - q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*m - 85 - 79 + 163)*(-3 + 3 - 1)*(-1 - 1 + 3 + 1 - 3 + 4 + (-6 + 3 + 1)*(1 + 1 + 0) - 1 - 3 + 3 + (-2 - 4 + 4)*(1 - 1 - 2)).\nAnswer: -148*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 468 times -2\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6039\/74 + 32267\/370. Factor -10 + 4\/5*t**4 - 33\/5*t**3 + 39*t + u*t**2.\nAnswer: (t - 5)**2*(t + 2)*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35442590, -35442589, -35442588?\nAnswer: -35442587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1800 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2868\/8 + 3\/2. Suppose -4*f = -12*f + i. Suppose -3*b + f = 2*b. Calculate the remainder when 15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18971 is divided by 1913?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 13240409 and 13240408 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -600, -2514, -5698, -10152?\n\"Answer: -635*t**2 - 9*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1\/(-4) + 28\/48\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 - 662*d**2 + 4042*d - 645. Determine t(-337).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*l + 665*l - 1034*l**4 + 945*l + 2743*l**4 wrt l.\nAnswer: 20508*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.05, 0.029, -84, 0.3?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111202012020 (base 3) in base 2?\nAnswer: 11000011110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2777468 and 16?\nAnswer: 11109872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347994 = -6*j + 25*j - 698298. What are the prime factors of j?\nAnswer: 2, 3, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -408 (b) -311 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 1639885?\nAnswer: 32797.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10819906 take away 0.05?\nAnswer: 0.05819906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.01834 rounded to 1 dp?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21121210 (base 3) to base 5.\nAnswer: -134211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70896)\/(-8109) + 2\/(-6). Let k = 142\/17 - a. Let c = k - 85\/371. Is c less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/10*(-750)\/45. What is the lowest common multiple of (20\/w)\/(1\/36) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2088)\/(-203) - (4 + 6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261*0.0294.\nAnswer: 7.6734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/147 (b) -9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453 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: Let w(i) = i**3 + 7*i**2 + 5*i - 6. Let x be w(-6). Let g(r) = 3*r - 1 + 2*r**2 + 0*r**2 + 5 - r**2. Let m be g(-3). Sort m, x, 5 in ascending order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -0.2 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5168.007986 + -5168. What is b rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36038 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 65*v**2 - 183*v - 4826. Give w(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -9*x**2 + 0*x - 1\/6*x**3 + 0 + 0*x**4 - 1\/60*x**5. Give l(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 83995768*x + 419978740.\nAnswer: 4*(x - 20998937)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35359233 is divided by 2558?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 2*q**2 - 169*q + 63*q - 2*q**2 - 2*q**3 + 3*q**2 to g*q**3 + h*q**2 + s*q + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.9. Let o = 229\/4 + -57. Which is the closest to m? (a) -0.2 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.127189 + -124133.872811. Let b = n + 124211.053. Let s = b + -77. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + v = -3*t + 37, -3*t = 2*v - 35. Suppose -3*s = 2*o + 15 + 17, s - 3*o = 4. Let k = s + t. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/(-64) - (-803)\/6)*-471750. Round w to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 6*j**2 + 66*j + 406. Determine h(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 49*i**2 - 2*i + 95. What is x(49)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a - 66. Let x be g(-12). Let l = x - 323. Which is smaller: l or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121646*86\nAnswer: 10461556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 7742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {n: 6, d: 1, a: 3, k: 1, x: 1, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133167 is divided by 574.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-108))\/(60\/1200).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 9381, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99558 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let u(j) = j**2 - 80*j. What is f(u(s))?\nAnswer: s**4 - 160*s**3 + 6400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -1\/3, -21329?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51570, 51571, 51572, 51573?\nAnswer: 51574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-616)\/286 + (-125116)\/(-58838).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -459*w**2 - 124*w**3 + 65 - 63 - 127*w**3 + 248*w**3 in the form v*w + a*w**2 + z + m*w**3 and give a.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/3 at most -0.2994026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 - h**2 - 2*h. Suppose 0 = 4*x - 2 - 14. Suppose -8*t + 12 = -x. Let l be s(t). Calculate the highest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 53*k**2 - 650*k + 128. Calculate p(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 406*k**5 - 14*k - 14?\nAnswer: 8120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 1\/2*w**2 + 5*w - 19. What is y(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 664691, 1329380, 1994045, 2658680, 3323279, 3987836?\n\"Answer: -z**3 - 6*z**2 + 664714*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -584106.32 to the nearest 10000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -2. What is the common denominator of 15\/12*(-78)\/s and (-1)\/18*(-3 + -26)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142315956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5275 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 11. Calculate d(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -99345 (b) -0.3 (c) -676\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 42 - 6) + -3 + -38?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 1. Let j be c(-8). Suppose -3*z + 2*v = v - j, -4*z = -v - 11. Is z\/22 + (-6615)\/(-99) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 1. Let c be p(-1). Let x be (c\/(-3))\/((-2)\/(-6)). Suppose r - 7 = -x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 45477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*n = 43 - 41, 6 = -5*m + 4*n. Sort -0.2, m, 151, -3 in ascending order.\nAnswer: -3, -0.2, m, 151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35520 and 45?\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -757, -3026, -6807, -12100, -18905, -27222, -37051?\n\"Answer: -756*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 17*q - 5. Let v be x(9). Suppose 0 = -v*y - y + 35. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870035955 divided by 2643?\nAnswer: 329185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 61*b - 252. Calculate r(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11 + 2*f - 8 - 4*f + 5*f. Suppose 5*s = 5*v + 10, 5*v = -4*s - 15 + 59. Let p be j(s). Is p at least as big as 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1050837657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 14*b**2 + 18878 - 19014 in the form s*b**2 + d*b + x and give x.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 4, d: 2, f: 1, l: 4, g: 8}. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 2*b**4 + 3*b**3)*(-1 + 2 + 1)*(26*b - 23*b + 20*b)*(46 + 56 - 14).\nAnswer: -8096*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 5. Let w(d) = 2*d + 12. Let j(y) = -12*i(y) + 5*w(y). Let h(f) = -20*f + 20*f + 8*f**2. Calculate h(j(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 824 = 2*a, 4*a - 3*u - 801 = 821. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/6 + 2*b**2 + b. Let g(l) = 3 + 6 - l + 5*l - 2*l. Determine 3*g(f) - 7*k(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445*f**3 - 1928*f**3 + 1408*f**3.\nAnswer: -75*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18684 is divided by 564.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -t - 4*c, 0 = -3*t - 2*t - 2*c + 31. Suppose f + 3*a = 2*f, 0 = -t*a + 5. Let u(n) = n**3 + 2*n**2 - 5*n + 3. List the prime factors of u(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*(-1 + 0). Suppose -73 = 16*j - 105. Sort j, 3, x in decreasing order.\nAnswer: 3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.2 and -3.4.\nAnswer: 17.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5665 and 1452?\nAnswer: 747780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4337 + -6537?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71369277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.00022 - 0.00022. Let k = -0.164 + 0.15. What is the third smallest value in b, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 25 = -5*t, 2*l - 5*t = 35. Let i be l\/60 - (-1)\/(-6). Suppose -3*g + 4 + 2 = i. Solve -g*u - 12 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/7 - 136*k**4\/7 - 8742*k**3\/7 + 109112*k**2\/7 - 191459*k\/7 + 13032 = 0.\nAnswer: -56, 1, 9, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8 + -6. What is the smallest value in -0.5, -3\/7, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -8213.\nAnswer: -8212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h - 7. Let v(w) = -w**3 + 6*w**2 - 5*w + 4. Let a be v(6). Let m = a + 115. Let r = m + -89. Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65430 - 356584118.\nAnswer: -356649548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152*u**4 - 14?\nAnswer: -608*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(136)*1)\/sqrt(8)*-2)**2.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixteen fifths of a litre?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 18*k**2 + 9*k - 8. Suppose -9*j - 27 = 45. Let b be r(j). Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 33 = -2*s. Let r = 16 + s. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53695 is divided by 1195.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + -0.21. Let f = -4 - -8. Put -1\/2, q, f in increasing order.\nAnswer: -1\/2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/87 and -53\/27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2199, 2120, 2029, 1926?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -12 - -16) + 1 + 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -303?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -61 (b) -20 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276 + 276.5. Let i = -2 - -1. Which is the nearest to -0.2? (a) o (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1021253 milliseconds to seconds.\nAnswer: 0.0001021253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19974 divided by 6?\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 1:06 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j + 4*r, 2*j + 2*j = 2*r - 12. Suppose -450 = 6*q - q. Let y = -89 - q. Sort y, j, -2.\nAnswer: -2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*o + 242 - 228, -3*o + b + 16 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2855848800 rounded to the nearest one hundred thousand?\nAnswer: 2855800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*q + 0)*(-4 + 1 + 2) + 3*q - 7*q - 3*q)*(15*q**2 - 37*q**2 - 11*q**2).\nAnswer: 165*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a meter in centimeters?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 294663151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/370*(4914\/105 - 46)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1960, -2043, -2234, -2575, -3108, -3875, -4918, -6279?\nAnswer: -8000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-100)\/(-35)) - (-12 - -14). Let m = 116\/315 - -2\/63. Let x = 12 + -17. Which is the closest to -3? (a) m (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -343.7656 + -0.3344. Let a = -97 + -223. Let k = p - a. Round k to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 10*p**2 - 30*p + 75. Let z be o(12). What is the nearest to z in 0.27, -1\/14, -5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 12*g**2 - 26*g**2 + 10*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 176 = f + 951, -v + 2*f = -559. Suppose 79975 = 6*j + v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(9\/11)\/z)\/((z**(-9)*z*z)\/z*z))**(-1\/13))**(17\/3))**49 assuming z is positive.\nAnswer: z**(-20825\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 4) + 2 + -1. Suppose o*w + 12 = -w. Which is the smallest value? (a) 2 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 27633.\nAnswer: 221064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 87*d - 357. What is c(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 - (5 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1338*a**2*y**3 - 2*a**2*y - a*y**3 - 2*a + y**3 - 334*y wrt y.\nAnswer: -8028*a**2*y - 6*a*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 38 + 22 = 2*g, 0 = -4*y + 12. Let f be (-4)\/4 + -2 + (5 - 0). List the prime factors of (60\/g)\/(f\/44).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1072\/11*v + 2\/11*v**3 + 262\/11*v**2 + 1080\/11 = 0.\nAnswer: -135, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27353873 (base 9) in base 5?\nAnswer: -11423431003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.554 - -12.7. Let j = k - 2.146. Which is the closest to 31? (a) 2\/9 (b) -1\/8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2\/4 + 2003187*o\/2 - 252413469\/4 = 0.\nAnswer: -1335521, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssooooossrlssassoosa. What is prob of picking 2 s and 1 a?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizozmzxzuuzzzmuizz. What is prob of sequence oi?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1638 - 0.127. Let l = t - 7.5768. What is l rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3883005 by -2205.\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223 = 79*q - 217*q + 758 - 49 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 19*b**2 + 66*b + 9. Give t(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 297*a**3 - 582*a**2 - 7152*a - 288 = 0. What is a?\nAnswer: -4, -4\/99, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098 + (12\/((-36)\/(-21)) - 8) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 9*r + 5. Determine v(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 62 = 435*y - 413*y, 0 = 2*x - 2*y + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26*s**4 + 212*s**3 + 418*s**2 + 208*s + 3. Let k(r) = 45*r**4 + 425*r**3 + 835*r**2 + 415*r + 5. Let l(p) = -3*k(p) + 5*t(p). Factor l(i).\nAnswer: -5*i*(i + 1)**2*(i + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6623800*y - 200. Let i be r(21). What is i rounded to the nearest 1000000?\nAnswer: -139000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 25, -2*i + 4442 = 4*f - 14108. Let j be 4\/(-22) - f\/(-6160). Let j - 24\/7*d**2 - 164\/7*d**3 + 22\/7*d - 188\/7*d**4 - 66\/7*d**5 = 0. Calculate d.\nAnswer: -1, -2\/11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 196 (c) -4 (d) 0.5 (e) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by (-11650)\/699*(38\/(-5) - (0 + 2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1333411 (base 5) to base 10\nAnswer: -27356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5347729 is divided by 2152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4265*r + 452694 = -1133*r - 1461*r for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d6c (base 14) to base 9.\nAnswer: 15824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(6*(-2*sqrt(91) + sqrt(91)))\/(-2*sqrt(7)*-1 - sqrt(7)) + 4)**2.\nAnswer: -37520 + 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*d + 190, 0 = -d - 2*d - 5*z + 230. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 47*n - 1. Is q(1) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 2. Let s(o) = o**2 + 3*o - 1. Suppose -4*x + 20 = -4*q, -4*q = -2*x + 13 + 5. Let g be s(q). Give r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 144*d**2 - 23*d - 505. What is j(-48)?\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/1*(-19 - (-31)\/((-1240)\/(-780))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n + 1418 - 1418.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184820?\nAnswer: 2, 5, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -393*x**3 + 1260*x**2 - 1115*x. Differentiate l(r) with respect to r.\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 - (5 - 5) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30129051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13353941 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, a: 1, f: 3, n: 2, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*t - h, 0 = -2*t + 5*h. Sort 3, -5, t, 4 in decreasing order.\nAnswer: 4, 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1600 - 2?\nAnswer: 15dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 27. Let d(s) = 10*s + 79. Let x(u) = 3*a(u) - d(u). Let h be ((-3)\/(-2) + 0)*-2. Give x(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -402, 2, 3, -4, 1 in descending order.\nAnswer: 3, 2, 1, -4, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a + 5. Let i be z(11). Let o be 225000002\/9 + 16\/i. What is o rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h**2 - 3*h - 4. Let b be u(4). Suppose -n + b = 3*n, 2*r - 839996 = n. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298536*w**4 - 177*w**2 + 136151438*w wrt w.\nAnswer: 3582432*w**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**3 + 13*a**4 - 9*a**3 - 50*a**4 + 14*a**4 - 2*a**4 - 4*a**4 + 4*a**4 + a**4 + (-2*a**2 - 2*a**2 + 2*a**2)*(-a + a - 2*a**2).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-8 - -3))\/(-2). Suppose 0*q - 2*q - 3*c + 283 = x, -q + c = -129. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12066, 48349, 108826, 193503, 302386, 435481?\n\"Answer: i**3 + 12091*i**2 + 3*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, 0 in decreasing order.\nAnswer: 9, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19653, 1, -1 in decreasing order.\nAnswer: 19653, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nakkkkbbaknkbnaakns. What is prob of sequence ank?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18760792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20240, -81319, -183120, -325643?\n\"Answer: -20361*y**2 + 4*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((-2*sqrt(108))\/sqrt(12)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 4, a: 1, o: 1, t: 4}. Give prob of picking 1 i and 2 c.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-94)\/(-10) + (-244)\/610. Solve 8*f - b = 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9 - -7.90788. What is q rounded to 4 dps?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(15\/9) + 5. Let f(n) be the third derivative of n**6\/60 - n**5\/60 - 5*n**2. Let t be f(1). What is the greatest common divisor of t and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7366455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4 - z - 1. Let c(g) = -g**3 - 5*g**2 - 2*g - 8. Let k be c(-5). Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**7\/2 - 33*k**6\/10 + 117*k**5\/20 - 7*k**4\/4 - 3*k**3 + 113*k. Determine g so that n(g) = 0.\nAnswer: -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/11 or 11?\nAnswer: 125\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -433, -938, -1635, -2524, -3605, -4878?\n\"Answer: -96*m**2 - 25*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 20177 = 135823. What is p rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 + 5*w**2 - 5*w - 14. Let l(d) = 10*d**3 + 10*d**2 - 11*d - 29. Determine 3*l(f) - 7*z(f).\nAnswer: 2*f**3 - 5*f**2 + 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 289, -18 in descending order.\nAnswer: 289, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 4*f**2 + 2*f + 2. Let p be t(2). Let h be 2 + -1 + -3 - p. Let x = 6 - h. Calculate the lowest common multiple of x and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -21. Let t be (b\/(-2))\/((735\/20)\/(-7)). Find l, given that -2\/7 + 4\/7*l - t*l**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35257360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 5) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820*i = 2*u + 819*i - 2, -4*u = i - 28. Solve -8\/3*y**4 + 2*y**u + 2\/3*y**3 + 0*y + 0*y**2 + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*v - 2*v = -16182. What is the highest common divisor of 651 and v?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12271 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/6750*50*(-1)\/(-31)*-1?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - (60\/12 - 394). What is the highest common factor of g and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 4*l**2 + 2*l. Let k be d(4). Let j = k - 6. Solve j*h - 41 = -4*f - 3*h, -5*f + 3*h + 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*k - 10 = -8*k, 0 = 5*m - 5*k - 30. Suppose o = -4*q + 3 - 1, -5*o + m = 4*q. Let f be (o + 2)\/(0 + -1). Sort 2, f, 1 in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-625)\/(-10) - (-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 + 0*j**2)*(j**2 + 4 - 4) + 4*j**4 + 9*j**3 - 9*j**3 + 4*j**2 + 2*j + 3*j**4 - 4*j**2.\nAnswer: 8*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjwgjbewwbmwjjm. What is prob of picking 1 w, 2 m, and 1 e?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51004 and 19024?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1692 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/((-126)\/19914)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124175 minus 78984195?\nAnswer: -79108370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111 - -c8366?\nAnswer: c8255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 3. Let s(x) = -4*x**2 - x - 2. Give -2*j(g) + 3*s(g).\nAnswer: -2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/11 + 522*w**3\/11 + 3794*w**2\/11 - 11202*w\/11 - 14472\/11 = 0. What is w?\nAnswer: -9, -1, 3, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c6006 (base 15) to base 7.\nAnswer: -101342433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -1e?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:49 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*l*t**3 + 5*d**3*l + 2*d**3*t**3 + 3*d**2*t**3 - 2*d**2*t**2 - d*l wrt t?\nAnswer: 12*d**3*l + 12*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from mnnnnmfm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6524, -6533, -6554, -6587, -6632, -6689, -6758?\n\"Answer: -6*c**2 + 9*c - 6527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435\/26 + -62\/13. Let m = 131\/6 + b. Factor m*g**5 + 1\/3*g + 2*g**3 + 4\/3*g**4 + 4\/3*g**2 + 0.\nAnswer: g*(g + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 733175326 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 12)*(1 + -2). Suppose -q - 5*s - 10 = -43, 2*s = o. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*x - x + q, x = -5*q + 8. What is the units digit of (x - 44)*1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*q - 85, 0 = q + 3*r - 110 + 135. Is q < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**2. Let y(f) = -757866*f - 5. Give y(m(b)).\nAnswer: 14399454*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41192 and 608.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 908, 1322, 1736, 2150?\nAnswer: 2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:36 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1305*m**2 + 1295*m + 10.\nAnswer: -5*(m - 1)*(261*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89528 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: Let x(j) = -153*j**3 - 78*j**2 + 18*j + 238. What is the units digit of x(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3016797 days?\nAnswer: 26065126080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02513092 - 5.\nAnswer: -4.97486908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 3*l + 2. Suppose -2*m = v + v + 4, -5*v - 3*m = 10. Let n be c(v). Suppose -4 - 4 = -n*q. Is 2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 6, e: 2}. Give prob of picking 1 e and 1 x.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 96 + 16 + 19 + 14 + 20 + 21 + 1.\nAnswer: 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9726 and 34.\nAnswer: 330684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 8*o**2 - 5*o + 7. Let z be j(-7). Let w(a) = a**3 + 0*a**2 - 736*a + 7*a**2 + 0*a**3 + 731*a - 5. Is 9 a factor of w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/19 - -20\/133. Let g be 5 + -8 + -1 + 8. Which is the second biggest value? (a) m (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 11*l**2 - 5*l + 6. Let w be i(10). Let j = w + -60. Let c be j\/(-2) + 1 - 3. Round c to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 8*p**2 - 20*p + 52. Let s be y(12). Let d = 379 - s. Let f be (-2 + 1)\/(3\/6). What is the nearest to d in 0.5, 1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 58035.73 micrometers?\nAnswer: 58035730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, t: 2, l: 3, r: 1, z: 3, m: 1}. Give prob of picking 1 r, 1 m, and 1 t.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167735937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven tenths of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -98183564.1 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/9 (c) -24 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 577394659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/8, 5, 28856, -1, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39237, 39235, 39233, 39231?\n\"Answer: -2*d + 39239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 603*i**2\/4 - 21714*i - 308308.\nAnswer: -(i - 308)**2*(i + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.54 + 27.386. Let h = m - 4.51. What is h rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(64)*-2 + sqrt(4)))\/(-1*sqrt(18) + sqrt(50)*1).\nAnswer: -sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 6, p: 9, c: 2}.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40120 and 9808160?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/9 - 26*i\/9 + 28\/9 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -37*g**2 + 4*g + 2. Let l(d) = 184*d**2 - 22*d - 11. What is -2*l(f) - 11*q(f)?\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13311 - -43?\nAnswer: 13404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/27 + 848\/(-9). Let t(r) = -r**3 - 3*r**2 - 12*r + 9. Let g be t(-12). Let z = m + g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 125?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**3 - 166*z**2 - 58*z + 400. Determine y(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 19 - 5. Let u be 30\/(-20)*(-8)\/d. Let t = -2\/3071 + -3061\/15355. Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/10 and 3031\/(-10010) + (-2)\/11.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 709 = -11*x + 624, -6*x - 63 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {o: 3, g: 3, x: 6, f: 1, h: 1, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -j - 7, -2*c = 2*c + j + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -3*g**7\/70 + g**4\/24 + 5*g**2 + 5*g. Let w(k) be the first derivative of q(k). What is the second derivative of w(z) wrt z?\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 2*f - 2*f)*(525*f**2 - 14 - 659*f - 527*f**2 + 813*f) to the form o*f**3 + j + c*f + b*f**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxjua. Give prob of picking 1 u and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2366084816 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83912992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphphppppphhpaapaupa. Give prob of picking 2 a.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*o**3 - 11297*n**2 - 2476*n*o**2 - 9*n*o + 17*o**3 wrt o?\nAnswer: 18*n**2*o - 4952*n + 102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 716545949 to the power of 1\/3, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2097 + 2163. Suppose n - 56 = -n + 4*q, 5*n + 4*q - 112 = 0. Suppose 0 = 5*k - p - n. Calculate the highest common divisor of 144 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 182 - 3d?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*w - t - 20, 8 = 4*t. Suppose -4*z = 4*k - 28 + w, -k = -4*z + 16. Suppose -5*o + 5*r - 7 + 77 = k, 5*r - 120 = -5*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -4, -5 in decreasing order.\nAnswer: -4, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y + 0*y - 3*y + (-6 + 3 - 1)*(12*y + 14 - 14))*(-4*y + 0*y + 6*y)*(2*y**2 - y**2 - 3*y**2).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.7 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(96\/(-95020)) + 2\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {j: 5, i: 4, r: 4, k: 2, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 - 830*q**3 - 61468*q**2 + 3036896*q + 3097536 = 0 for q.\nAnswer: -292, -156, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 57. Suppose -4*i = -0*t + 3*t - 43, 0 = -5*t - 5*i + 80. Let w = a - t. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.284 (b) -0.4 (c) 0.2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 2*b**2 - 2*b + 2. Let s(r) = -3*r**3 - r**2 - 2*r + 1. Let t(h) = h**2 + 171*h + 7125. Let c be t(-99). Give c*s(f) + 2*y(f).\nAnswer: 3*f**3 - f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 c when three letters picked without replacement from zzzpzcupzzzpzzzzsppk.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*c - 79, -2*c - 5*h + 80 = -5*c. Let u(g) = 5*g + 6. Let v(m) = -20*m - 25. Determine c*u(o) - 6*v(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(75)*6 - sqrt(75)) + 1)**2.\nAnswer: 50*sqrt(3) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000011011010 (base 2) in base 10?\nAnswer: -37082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 4*k**2 - 7*k + 10. Let h(j) = -3*j - 3*j + 9 - 4*j**2 + 2*j**3 + 2*j**3 - 3*j**3. Let g(b) = -6*h(b) + 5*t(b). Factor g(u).\nAnswer: -(u - 4)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 331*a + 324*a - 661*a. Let t(r) = 3*r**3 - 18*r. Determine 6*t(p) - 18*v(p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -551*f*l*p - 9*f*l*r + 3*f*l - f*p - 43*f*r + 31*f + 2*l*p*r - 4*p*r + 6*p - r with respect to p.\nAnswer: -551*f*l - f + 2*l*r - 4*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1290, 1287, 1266, 1215, 1122?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by (-52)\/1*(33\/44 + -4)*1?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127066001 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 6 = 4*r. Let v be (1\/(-4))\/(4\/(-48)). Factor 898 - 2*n + 2*n**2 + 2*n**v - 898 - r*n**4.\nAnswer: -2*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/6 + 1572956\/462?\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1397, -18635, 1\/3, 1?\nAnswer: -18635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3646840 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -k + 244, n - 4*n - 1276 = -5*k. Is 22*(k\/4 + -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -798*-2*(-17)\/2170242. Let q = o - 6152746046\/1669277805. Let j = q - 3\/1846. Calculate the common denominator of -5 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, o: 7, p: 2}. Give prob of sequence ptop.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -2, -0.02, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 692520780 divided by -6.\nAnswer: -115420130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30317978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8265360 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = b. Suppose -3*d = -b - 0. Suppose d*u - 4*q = 429, 5*u = 3*u - q + 286. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1881)\/38*(-660)\/(-726).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + 56\/(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24312 (base 6) to base 2\nAnswer: -110111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(-1*sqrt(2))*1)\/(1*(sqrt(2) + 6*sqrt(18))))**2.\nAnswer: 13\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 162, 150, 138?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c1376 (base 14) to base 10.\nAnswer: -2077900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15305530 (base 7) to base 12\nAnswer: 5a73ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 - 24051*o + 5512560 = 0.\nAnswer: -8240, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67810 divided by 2.\nAnswer: 33905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181*x - 188*x - 5271*x**3 - 1 + 12*x**2 + 5312*x**3)*(-x + 2*x + 0*x).\nAnswer: 41*x**4 + 12*x**3 - 7*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 327695 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6035573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1068 - 1077) + 3 + 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -56*l - 29. Let c(v) = 43*v**2 - 4. Calculate c(z(g)).\nAnswer: 134848*g**2 + 139664*g + 36159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 3*i = 59 + 24, -132*c = -128*c + 5*i - 81 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 4*x - 6. Let b be (14\/12 - 5) + (-1)\/6. Let u(m) = m**2 - 2*m - 3. What is b*c(z) + 7*u(z)?\nAnswer: -z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20791*l**2*t**3 + 9*l**2*t + 1138*l**2 - 2*l*t + t**3 - 5*t wrt t?\nAnswer: -124746*l**2*t + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(275)*-1.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451 + -321. Suppose -3*t + 0*t + x = 2*a, -2*a - 122 = -3*t. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**7\/14 + f**4\/6 - 6*f - 7. Let v(d) be the first derivative of t(d). Find the third derivative of v(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t**3 + 106338*t + 2737601 wrt t.\nAnswer: 12*t**2 + 106338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 9*d = 18. Is (15\/d*-2)\/(8\/1016) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1609548 by -3.\nAnswer: -536516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.4, 4, 1\/2, -3744 in descending order.\nAnswer: 4, 2, 1\/2, -1.4, -3744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*w. Find the second derivative of -3 - p**3 + 2*p - 5*p + w wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3\/q**8*((q**(-1)*q)\/q)**(-38\/9)*((q\/q**(2\/5))\/q)**(2\/25)*q**(-5\/3)*(q\/((q*q**(-3)*q)\/q)*q)\/q*q assuming q is positive.\nAnswer: q**(1714\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -790, -2741, -5960, -10453, -16226, -23285, -31636?\n\"Answer: -y**3 - 628*y**2 - 60*y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -222*o**2 + 6*o + 6. Let f(y) = -332*y**2 + 9*y + 9. Let q(x) = 5*f(x) - 8*l(x). Give q(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1802 - -147.9798. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2601572, 2601566, 2601558, 2601548, 2601536, 2601522?\nAnswer: 2601506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*w - 10, 0*i + 5*i = -w + 50. What is the remainder when 2728 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*c - 275*c + 155*c as q + n*c and give n.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1086\/12 + 1\/(-2). Suppose z = 14*k - 9*k. Suppose 0 = -0*q + q - 10. What is the remainder when k is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*b - 12*b + 17*b)*(-3*b + 4*b + 3*b) to the form g*b**2 + d*b + r and give g.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, 1\/7, -1, -0.2 in decreasing order.\nAnswer: 1, 0.4, 1\/7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*u + 1 + 298*u + 581*u as l*u + j and give l.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435877 is divided by 641.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 5*v**2 + 2*v - 1. What is the common denominator of -57\/10 and w(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-26.1.\nAnswer: -23.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -1588785\/7 (c) 5 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0 = -5. Let a be (-10 - -10) + -3 + -5 + 4. Let g be ((-30)\/(-4))\/(6\/12). Put g, a, -2, i in descending order.\nAnswer: g, i, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 1, m: 1}. Give prob of sequence wtm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22 and 27\/236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, l: 1, b: 4, o: 2, m: 1, s: 4}. Give prob of picking 1 l and 1 m.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, -0.5, 33125 in decreasing order.\nAnswer: 33125, 1\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 4*w + 1. Let o be h(3). Let p(f) = 2*f - 8. Let i be p(o). Solve 4*y + 15 = 3*u, i = y + 4*u - 19 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*y**3 - 1277*y**2 - 3*y - 7629716 with respect to y.\nAnswer: -489*y**2 - 2554*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2267.7957333 rounded to zero dps?\nAnswer: -2268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802162 divided by -42457?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f + 5. Let x(j) = -8*j + 299. Let c be x(38). What is o(c)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2424, 2614, 2814, 3030, 3268, 3534, 3834, 4174?\n\"Answer: t**3 - t**2 + 186*t + 2238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:42 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 3*v + v)*(0 + 3 - 1) + (33 - 40 - 29)*(-4*v + 5*v + 0*v) to the form h*v + i and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32163 in 2\/7, -26, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16548688 by -8.\nAnswer: -2068586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 14. Suppose -p + 19 = r, -r - k*r + 2*p = -37. Suppose -5*w + r = 0, -m = 4*w - 69 + 17. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/(-4)*(-24)\/15. Let u be v\/21 + (-4)\/(-14). Suppose -2 = -z - 3, -z - 16 = -3*c. Solve 0 = -n + u*f - f + 2, c*n + 6 = -3*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -3220?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + 0*m - 3*m)*(0*m + 0*m + 2*m**3) + (122*m + 830*m + 1086*m)*(4*m**3 - 4*m**3 - m**3).\nAnswer: -2024*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10332 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 52*p + 2*j + 152, 8*p - 3*p + 23*j + 16 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 12, 4*q + 18 = 34*m - 36*m for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*i**4 + 6*i**3 - 11*i**4 - 16*i**4)*(-2*i + 1 - 1) + 0*i**5 + 0*i**5 + 2*i**5.\nAnswer: -4*i**5 - 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 8*m**2 - 94*m + 133. Calculate the smallest common multiple of b(6) and ((-2)\/3)\/(2\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2. Let i(v) = -6*v - 7. Determine i(y(m)).\nAnswer: 42*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2011, -1959, -1903, -1843?\n\"Answer: 2*t**2 + 46*t - 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:09 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 228940077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 14 + 18 - 37 + 5*v**2 + 5 + 1095*v = 0.\nAnswer: -219, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 0*y - 143 + 71 + 0*y + 61*y**2.\nAnswer: 61*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w = 62*w + 448 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2346, 2357, 2382, 2427, 2498?\n\"Answer: w**3 + w**2 + w + 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + 424c2?\nAnswer: 42489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + (-17840)\/440)*(-1)\/(-6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.054 (b) 114 (c) 1\/3 (d) -2\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179525?\nAnswer: 5, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154106686, -154106685, -154106684, -154106683?\n\"Answer: g - 154106687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(119\/(-35)) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**3 + d**2 - 699*d + 2729. Calculate r(4).\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2180.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 2*j - 2. Suppose -5*u + 5*h - 40 = 0, 3*h - 37 + 9 = 4*u. Let d be b(u). Calculate the greatest common divisor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -v + 3, 2*v = 2*n - 0*n. Let l be (v\/(-5))\/((-45)\/(-75)). Which is the nearest to l? (a) -5 (b) -0.2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 50 - 18 = 0. Suppose 0 = -2*m + 7*m - 4*l - h, 0 = -l - 3. Solve -5 - m = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) 0.4 (b) -23 (c) -2\/15 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let f(c) = -3*c**2 + 2*c - 2*c + 7*c. Let o(v) = -2*v**2 + 121 - 62 - 59 + 3*v. Let p(a) = -3*f(a) + 7*o(a). Calculate q(p(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -158*j**2. What is v(-1)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 45 - 129. Solve -5*h + 4*v - l = 23, -3*h - 2*v - 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 598 - 134 = 0. List the prime factors of a.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467bb (base 12) to base 3\nAnswer: 11210120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*b - 6*b. Solve t + b*t + 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 6. Let f be l(4). Sort 0, f, 3 in descending order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.11 from 3.8.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49780908 divided by 49780908.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 19*g - 1\/15*g**3 + 0*g**2 + 1\/150*g**6 + 0 - 1\/20*g**4 + 0*g**5. Suppose y(q) = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 9. Calculate l(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 55 = -100. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 9*y**2 + 8*y + 14. Calculate g(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-4 - 4\/(-4)). Suppose 10 + 10 = r*g. Suppose 2*w - g = -1. What is the third smallest value in w, 4\/9, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 50 = -c, 5*x + 84 + 46 = 3*c. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*1268\/6. Let b be ((-2 + 32)\/(-1))\/(263 - 266) + 307. Is l smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62185440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*r**5 - 2\/5*r + 4\/5*r**2 + 4\/5*r**3 - 2\/5 - 2\/5*r**4.\nAnswer: -2*(r - 1)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107907129 to the nearest integer?\nAnswer: 10388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u - 2*j - 2, j + 3 = 0. Suppose -7 = -2*h + u. Let s(x) = -x + 6. Calculate the least common multiple of 10 and s(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(152) - (sqrt(152) - -4*(sqrt(152) - sqrt(152)*2) - sqrt(152)))\/((-5*(2*sqrt(72) - sqrt(72)))\/(1*sqrt(9)*-2 + sqrt(9))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 - 6 - -1) + 25 + -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 18*r + 7. Let a be (27\/(-4))\/((-9)\/(-24)). Let q be z(a). Let o be 16*-1*(3 - q\/2). Solve 3*y - 2 = -u - 1, u - 4*y = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 9. Give t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120269 divided by -2222.\nAnswer: -120269\/2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-46)*25\/((-50)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 19*s**2 + 1 + 14 + 14*s + 0 + s**3 - 5*s**2. Let o be r(-13). Let t(h) = 7*h. What are the prime factors of t(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222222121 + -12?\nAnswer: 222222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17502)\/12 - -4)\/((-3)\/6). Suppose -4*t + 4*g + 2356 = 0, 0*g + 4*g = -5*t + m. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834145418 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: Let n(o) = 17 - 3 - 14 + 6*o - 2. What is n(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7 - 3*b + 0*b + 4*b. Let k be -2*(-2)\/6 + (-56)\/(-6). List the prime factors of n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/6 + 10682237*a**2\/6 - 9509180496641*a\/2 - 9509184057387\/2 = 0.\nAnswer: -1, 5341119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-267)\/28 + (-2)\/(-8) + (-344)\/(-1204).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713, 778, 843, 908, 973, 1038?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001010 (base 2) in base 3?\nAnswer: 1121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 + -5. Let k = -29.7 - -30. Which is the closest to 2? (a) q (b) -2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (1192 + 4)\/(4*1\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-24) - 54\/176?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22377936 and 168.\nAnswer: 22377936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12088 less than -12145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 313350245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -2 (c) 3\/8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 - 44*t + 53891. Does 19 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 68.7. Let i = w - 0.7. Let m = -68698\/15 + 4580. What is the third biggest value in 7, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {h: 1, q: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -133, -4, 4967922 in descending order.\nAnswer: 4967922, -4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r. Let n = 18 - r. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w*w**(-1\/2)))**(-1\/47)\/(((w*w**0)\/w)**(2\/5)\/(((w\/w**(-5\/2))\/w)\/w**(-2\/9))) assuming w is positive.\nAnswer: w**(1138\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29287342?\nAnswer: 2, 7, 2091953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.29 * 5499.\nAnswer: -18091.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6 + 26 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -41 + 25 + -60 + 2 - (6 - -1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. What is the third derivative of -g*p**2 + 6*p + p**5 - 6*p wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1, -5, 1 in ascending order.\nAnswer: -39, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 14.27 (c) 1\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 3660?\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/12 + (-69)\/18. Let i be ((-44)\/(-35))\/(k\/(-10)). Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 11*k**5\/10 + k**3\/6 - k + 28. Determine o(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -7*c**6\/120 + 33*c**5\/80 - 13*c**4\/16 + 7*c**3\/24 + 3*c**2\/4 + 81*c - 3. Let f(v) = 0. Calculate v.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052269 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 468?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -480 - -1823. Suppose 4*k = 4*x + c + 569, 0 = x + 5. Calculate the greatest common factor of 43 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/28*((-28)\/12 + 0). Which is the second biggest value? (a) w (b) -0.2 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from qeereeeuqeeeeee.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2448) + 2)**2 + 0)*2 + -2.\nAnswer: 480*sqrt(17) + 24518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2024.07 + 2024. What is the smallest value in -15, y, 3\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2549 + ac6?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*v + 11*v**2 - 308*v - 5*v**4 - 2 - 14*v**3 + 9*v**4 + 100*v + 105*v in the form w + t*v**4 + a*v**2 + b*v + d*v**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-12)\/(-3) - (-6)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 32\/9 (b) -104 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 + 188.3. Which is the nearest to -1\/4? (a) -8 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 22522084.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 8*i + 8*i - 3953*i**2 + 3938*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/15 - -37\/30. Which is the smallest value? (a) 2\/5 (b) -1\/3 (c) t (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1443513*s**4 + 5*s**2 + 256*s + 52225 wrt s?\nAnswer: 17322156*s**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -28*z - 4*a + 16, 2 = 2*a. Suppose 4*c - 1799 = b, -z*c + 2*b = -1680 - 122. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*h**2 + 561*h - 561*h)*(139*h + 77*h**3 - 139*h).\nAnswer: 3927*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 10, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k + 7*k**2)*(5*k - 2*k - 4*k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/6 - 11*f**2\/2 + 9*f. Let z be i(11). Differentiate q + 7 - 6*q + 2*q + z with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**3 + 7900*z**2 - 31857168*z = 0.\nAnswer: -6428, 0, 2478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 18*g**2 + 41*g + 66. Let t be k(15). Let v(n) = -n**3 + 6*n**2 - 2*n + 16. Give v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188403625 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 10. Suppose r*p = -3*p + 15. Let u(t) = -t - 1. Let y be u(-5). Put -5, p, y in decreasing order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w*w**(-1\/6))**(-5)\/(w**(-10))**(-8) assuming w is positive.\nAnswer: w**(-485\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*v = -101*v + 2. Suppose m = 5*m + 2*u + 522, 5*u = -5. List the prime factors of m\/(-8) - v\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = 3*z - z, 0 = -3*u - 9. Suppose 7 = 3*k + 3*c - 8*c, 5*k - 5*c - z = 0. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 5210*m - 1357205.\nAnswer: -5*(m + 521)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -191, -428, -765?\nAnswer: -1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4233379*0.3\nAnswer: 1270013.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(7\/(-21)*-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*j - 87 = 0, -2*g - 3*j = -6*j - 141. Suppose -40 = -5*c + g. Let x = -5 + c. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20402, -40800, -61198, -81596?\nAnswer: -101994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - ((24 - 18) + -49).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4226.3 + 4227. Which is the third biggest value? (a) -0.3 (b) t (c) -0.06 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 49*b + 5. Let q(d) = -245*d - 26. What is -2*q(x) - 11*v(x)?\nAnswer: -49*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 - 1204300?\nAnswer: -1210044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(735\/168)*3\/12)\/((-1)\/(-21)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 1, -1, 372, -5 in ascending order.\nAnswer: -88, -5, -1, 1, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67, -78, -91, -106, -123, -142?\n\"Answer: -q**2 - 8*q - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 215 = 230. Solve -4*r - 4*t - 5 = -3*t, 0 = -s*r + 3*t - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*s - 2293 + 691 - 1383 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = v. Let p(s) = s - v*s + 2*s. Let h(a) be the third derivative of a**4\/12 + 2*a**2. Determine h(p(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.304 - -0.604. Suppose -5*h - 490 = -1435. Let z be 4\/18 + (-123)\/h. Which is the third biggest value? (a) 1\/3 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15101, 0.97, -0.4 in ascending order.\nAnswer: -15101, -0.4, 0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -1, 6, 29, 74?\n\"Answer: m**3 - m**2 - 7*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-175)*231\/132\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) - 9*(-12)\/(-54).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 95.04357 kilograms?\nAnswer: 95043570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3012 = -779*g - 258 + 362 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(448) + 2) + sqrt(448) - sqrt(448))**2*-3 + (5 + (sqrt(448) + -1)*4*-1)**2 + -3.\nAnswer: -188018 - 14400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -8 + 7 + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -459 - -695. What are the prime factors of a?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 2, p: 1, a: 1, t: 1}. What is prob of picking 1 h, 2 n, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7284436, 14568878, 21853320, 29137762, 36422204, 43706646?\n\"Answer: 7284442*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1016 + 1975 - 36*s**3 - 996 - 2*s - 17*s**3.\nAnswer: -53*s**3 - 2*s - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -156056945 at least -156056946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 9. Let v be t(-7). Suppose -v*m - 15 = 0, 2*r - 4*m + 32 = -12. Let g be 2*(-2)\/r*1. Is g > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8201 - 98497\/12. Suppose -2*w + 5*w + 9 = 0. What is the common denominator of l and w\/4*(-1)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 17*k + 103 + 57.\nAnswer: -17*k + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - 543?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003363 to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 141664.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34111838 and 332?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 19*m**5\/20 - 17*m**4\/12 - m**3\/3 + 585*m. Factor q(b).\nAnswer: b*(b - 1)*(19*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 1201*x**4\/12 + 2*x**3\/3 - 5*x**2\/2 + 5*x. Let q be z(-5). What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927185194.\nAnswer: 2, 13, 103, 346223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgzibzzgig. Give prob of picking 1 b, 1 g, and 2 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8320 divided by -24.\nAnswer: 1040\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c + 4*c + 7*c + 2*c + 0*c to the form s*c + w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luj when three letters picked without replacement from ulllllljljubllplljll?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*d = 7*h - 30, h - 2*d = 6. What is the third derivative of 4*i**3 - 82*i**6 - 4*i**3 + 84*i**h + 2*i**2 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38925 >= -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 2523280 = 20*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -5) + (37 - 23).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = 4*a - 4*r, r + 49 = 4*a. Suppose -z - 51 = -5*l, -l + a = -3*z - 0*z. Let q be 4\/l - (-81)\/(-15). Put 4, q, -2\/13 in descending order.\nAnswer: 4, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 28173288.\nAnswer: 1\/28173288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -11*x**2\/2 - 42*x - 24. Let w be p(-4). Suppose 5 = i + n, -n - 7 = -7*i + 4*i. Solve -w*c = 0, i*c = 3*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1+10185\nAnswer: 10187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -653*j**2 - 26786*j - 417. Calculate u(-41).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603251 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 2*b**2 - 2*b + 2. Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let w(n) = 667990*n. What is z(w(d))?\nAnswer: 667990*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9390251 divided by -871?\nAnswer: -10781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 4\/(-6). Let r be 0 + 3\/(-27)*-3. Determine b so that 0*b**3 - r*b**4 + t*b**2 - 1\/3*b**5 + 0*b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Suppose 2*a + j*a = 140. 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: Evaluate -14 - (-13 - (-18 + 16 + (-4 - -17))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -59, -55, -49, -41, -31, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(((-18)\/1278)\/(4\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + 107. Let b = x + -144.0000505. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16951 + -16946. What is the smallest value in -5, -0.1, f, -0.021?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 22 = 2*s - j, -3*s + 22 = 2*j. Let h = 14 - s. Calculate the lowest common multiple of h and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d7 + -b6aac?\nAnswer: -b67d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511 - -510. Let p = -1 + -6. Sort -4, p, s in increasing order.\nAnswer: p, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 966, 5, -6 in decreasing order.\nAnswer: 966, 5, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 76\/34123?\nAnswer: 76\/34123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15983440 and 1100?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-36))\/(((-741)\/(-3600))\/(-19)). Is 46 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -16 - 25 - (-52 + 61).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-116)*(-192)\/(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(9588\/(-9862) + 1). Let o = y + -398843\/2466. Let a = 1925\/9 + o. Find the common denominator of a and -31\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 984370, 1968742, 2953114, 3937486?\n\"Answer: 984372*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 10*s + 3. Let u be c(10). Let y be ((-4)\/6)\/((-62)\/u + -2). What is the fourth biggest value in 0.4, y, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(2\/(-20)). Is (8\/k)\/((-2)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 5078.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*l**3*z + 573*l**3 - 2*l**2 - 1124*l + 226421*z**2 - 2 wrt z?\nAnswer: 34*l**3 + 452842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 3147485558?\nAnswer: -3147485567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f + -31?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1356*a + 18987. What is the lowest common multiple of 924 and y(14)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 7}. Give prob of picking 4 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/9 + 6532*q**3\/9 + 1289432*q**2\/3 - 30763782980*q\/9 + 25742116884154\/9 = 0?\nAnswer: -2167, 1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2\/19, 1070, 3, 0.2, 0.3?\nAnswer: 1070","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 164. What is the hundreds digit of (p\/(-2))\/(87\/160080)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -38 + (-10 - -22) + 5 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278327079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109669 - 12580. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.954 - -0.046. What is the nearest to -1 in 0.2, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*1\/2)\/(1\/723194) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*58\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 15*o**2 + 2*o + 2. Let z be h(0). Which is the closest to z? (a) -0.5 (b) -3 (c) 1580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2751, 2752, 2753, 2754?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*x = -56*x - 42. Suppose 5*k = 4*u - x*u + 102, -u + 37 = -k. What is the remainder when u is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) 3 (c) 0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 7*s**2 + s - 3. Let q be m(-7). Let a = -7 - q. Factor 2\/3*p**2 + 0*p - 8\/9 + 2\/9*p**a.\nAnswer: 2*(p - 1)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -18a89?\nAnswer: 18a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcf when three letters picked without replacement from {x: 1, i: 1, f: 1, c: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*f = -32, k + 5*f = -3*k + 53. Suppose -5*b + 2*n = k*n, -b + 3 = -2*n. Let t = 3 - 3. What is the nearest to -2\/7 in t, -2, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 491 and -451.\nAnswer: -221441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*m = -24, 5*x = -m - m + 52. Let v be (-3)\/(-5) - x\/(-25). Sort v, 2, -1 in descending order.\nAnswer: 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/6 + 4*i**2 - 5*i - 21. Let z(h) be the second derivative of x(h). Let y(j) = 7*j**2. What is z(y(o))?\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -10111?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/2 + 1\/(-1). Which is the closest to 1? (a) i (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.183.\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 40. Calculate the remainder when 30 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c - 2*j, 5*c - 2*j = 8. Let r(p) = p - 3. Let u be r(5). Suppose -6 = o - u*o. Solve 2*s = c - o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3660 divided by -915.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 = -2*p + 3*d, -5*d = -5*p + 15. Suppose p*t = -7*t + 63. Calculate the remainder when (-2)\/(3\/((-225)\/6)) is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54759.62 centuries in years?\nAnswer: 5475962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -20021?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397502 is divided by 219?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkd when three letters picked without replacement from dqqktbik.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44222922 to the power of 1\/2, to the nearest integer?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3983 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 39.17?\nAnswer: -35.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775659?\nAnswer: 3, 17, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*d + 15*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p - 10. Let h be y(12). Suppose 0 = -21*i + h*i - 35. Let m(w) = -8*w**3 + 3*w**2 + 3. Let f(n) = 15*n**3 - 5*n**2 - 5. Calculate i*m(v) - 3*f(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 2029.\nAnswer: -104\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/10*(-95)\/(-76)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 - 3*b + 2. Let i(t) = t - 1. Let m be i(3). Let j be s(m). Suppose -4*r + 2*p + 24 = -3*r, j = 5*r - p - 147. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-507)\/(-1014))\/(1\/10*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rarc when four letters picked without replacement from {r: 8, a: 5, c: 5}.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (18 + 3 + (-22 - -3))) + 114\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/3 + i. Let u(v) = -7*v - 1. Let h be u(-1). Let a(s) = -3 - h + s + 9. Determine a(q(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17706 and 32461.\nAnswer: 194766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -148*x**3 - 7236*x**2 - 13128*x + 1504 = 0.\nAnswer: -47, -2, 4\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (38\/108 + -1)*(-1017)\/565\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4000*h + 9. Let l be o(-7). Suppose -28006 = j + 2*q, -j - 2*q - l = q. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (1 - 3) - (-69 + 26 + -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607208231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3\/16, -0.4, 0.06 in increasing order.\nAnswer: -0.4, -1\/3, -3\/16, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 718\/845 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*b = -0*b + 19, 0 = 5*j + 4*b - 22. Calculate the remainder when ((-73)\/j)\/((-3)\/6) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 4. Let a(q) = -q + 3. Let x(t) = -5. Let r(b) = 2*a(b) + 2*x(b). Give 3*r(s) + 4*v(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 - 121. Suppose -f*r = d - 0*r + 28, 2*d + 24 = 4*r. Let x be (-12)\/d - (-7412)\/(-20). Round x to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 7*t**2 - 3*t - 3. Let q be g(6). Suppose 3*o = -2*o. Suppose o = p - 5*p + 40. Solve -k = -2*a + 4*a - p, -3*a = -2*k - q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1616 - 1608. Let c = -99 + 211. What is the least common multiple of l and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18481\/130305 + 1\/1533. Let f = 18\/85 - t. Let d = 356 - 357. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 4*k + 2 - 4*k)*(-1 + 3 - 4) + (-4 + 1 + 1)*(-k + 0 + 0) + 35*k + 10*k + 19*k in the form f + i*k and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*c + 4*n + 79, -2*n = 0. Suppose -c = -2*u - 22. Let o be (-1)\/3 - (-2)\/24. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 93 = -2*d. Let j = 14 - d. What is the closest to j in 5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9762 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12201410102344 - -10?\nAnswer: -12201410102334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 + 28*d**4 - 45 - 12*d**4 + (-1 + 2*d**2 + 1)*(6*d - 6*d + 11*d**2).\nAnswer: 38*d**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63940 is divided by 237.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 731*n + 1249*n - 91080 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 2*z**3 + 33*z**2 + 2*z - 32*z**2 - 2*z**3. Let b(d) = d**3 + 2*d**2 + 4*d. Determine 3*b(p) - 5*l(p).\nAnswer: -2*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*l - 73*l + 38 - 2*l**2)*(-2*l - 45*l + 23*l).\nAnswer: 48*l**3 - 912*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*g**5 - 2*g**4 + 359*g**2 wrt g.\nAnswer: -840*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.09 (b) 5 (c) 3\/5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - l. Suppose -4*y = 2*h - 72, 2*y - y + 2 = 0. Suppose 4*j - h = -j. What is the remainder when d(-2) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/104 and 111\/1612.\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.780564859 take away 2054.23?\nAnswer: -2056.010564859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 18*y**2 + 96*y + 12. Let f be b(14). What is the highest common divisor of 140 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*p - 2396 = -103428. Let v = p + 1386. Let x = 1 + -1. Solve -3*w - v*w = x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 218*t - 220*t + 426*t + (-2 + t + 2)*(1 - 5 + 2) + 2*t - 2 + 2.\nAnswer: -12*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v, 3*r - 27 = 7*v - 3*v. Solve t - r = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**5 - 8*g**4 + 43*g**3 + 6991*g + 1 wrt g?\nAnswer: 80*g**3 - 96*g**2 + 258*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - 318. Let p = c - -2197\/6. Which is smaller: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.30362t?\nAnswer: 7303620000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 5)\/6*24. What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 104*m - 111*m. Solve m*j = 7*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7488)\/182 - (-192 + 149)?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 17*r**2 - 9*r + 17. Let n = -7768 - -7774. Let b(u) = 2*u**3 + 8*u**2 - 4*u + 8. Calculate n*j(s) - 13*b(s).\nAnswer: -2*s**3 - 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.71 times 3.1?\nAnswer: 17.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360549?\nAnswer: 3, 7, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -7, -3, 0.2, 27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -256337658 take away 0.01?\nAnswer: -256337658.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/30 and -11\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 548 - 267. Let a = c - 402. What is a rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*p - 10 = 0, 2*p + 9072 = -3*b + 9076 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41 and -285797007.\nAnswer: -285796966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 809?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 2*u. Let w(k) = k**2 + 14*k + 13. Let x be w(-13). Suppose x*h - h - 42 = 0. Let a be 2\/(-7) + 156\/h. Determine m(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*l + 17*l + 25*l + 19*l + 16*l + 21*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4192 + 2133 - 1653 = 58*a for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 14*o + 13. Let k be m(-13). What is the third biggest value in 0.4, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let j be l(-2). Let 0 + 4 - 2 + p**j - 3*p = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1718.7 + 2308\nAnswer: 589.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**3 + 17*q**2 - 40*q - 14. Let g be t(5). What is the greatest common divisor of g and 1038?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(10) + (sqrt(5) - 3*1*sqrt(5)))*-3 + (sqrt(220)*-1)\/(sqrt(77)\/(-2*sqrt(7))).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 405*h + 32826. What is i(-112)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1, 1\/4, -1\/4, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 463187744 and 22?\nAnswer: 5095065184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-70))\/(5001\/8335)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 8. Let r(b) = -b - 3. Let l be r(5). Let k(h) = -1. Let f(c) = l*k(c) + a(c). Let o(t) = 78*t - 78*t - 28*t**2. What is f(o(z))?\nAnswer: -1568*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4122424 (base 5) to base 15\nAnswer: -14dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 + 170. Let g be 130\/351*u\/(-5). What is the smallest value in 2\/15, -3, g, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9bb26 - 7?\nAnswer: -9bb2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = -2*n, 2*n + 4 = -3*d + 1. Suppose 14 = 4*o - 2*g, 5*o + g = 2*g + 10. Suppose 12 = i + 2*b - 0, -2*i - 21 = -5*b. Sort n, o, i.\nAnswer: n, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p + 13. Is j(-10) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/622044 and 67\/172.\nAnswer: 26747892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -0.1. Let y = -1 + q. Let a(g) = -4*g + 68. Let t be a(17). Do y and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 9 - 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13087 is divided by 4050?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/15 + 84*j**4 + 1010*j**3\/3 + 3*j**2 + 2*j - 473. Factor i(s).\nAnswer: -4*(s - 505)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9451.717 millennia?\nAnswer: 94517.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08973891 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -228, -532, -842, -1158?\n\"Answer: -3*x**2 - 295*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f - 1. Let j be b(2). Suppose 2*o - 33 = 3*l, j = 2*o - 0*l - l. Let t = -17 - -23. Calculate the highest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004982205 rounded to five decimal places?\nAnswer: 0.00498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3\/6 + b**2\/2 + 2*b. Let r be x(-5). Let z = 4 + r. Solve 4*a - 4*y + 4 = -0, 2*a - 5*y - z = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 2. Suppose i + q = -i. Suppose z = -0 + 1. Sort 2, i, z in descending order.\nAnswer: 2, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820819 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.59 - 5.774. Let v = p + -60.966. Let y = v + 58. Round y to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1, -1310\/119, 3\/7 in decreasing order.\nAnswer: 3\/7, -0.4, -1, -1310\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, j: 1, x: 3, a: 6}. What is prob of sequence xg?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 18\/7 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10488 + 62785\/6. What is the common denominator of 91\/552 and x?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 36*a**2 + 0*a**2 + 159*a**2. Let b(y) = -4*y. What is d(b(i))?\nAnswer: 3120*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10236287, -20472606, -30708925, -40945244, -51181563?\n\"Answer: -10236319*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -875704394 and 177151.\nAnswer: -875527243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -0.4. Let t = b + 2.5. Let a = 3 - t. What is the nearest to 0 in 0, a, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 - 328. What is f rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h**3*u**2 + 1926716*h**3*u*w - h**3*u + 12476*h**3 - 4*h**2 + 2*h - 2*u**2*w wrt w.\nAnswer: 1926716*h**3*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50810, -50837, -50864?\n\"Answer: -27*q - 50783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1367\/2 + 4195\/6. Find the common denominator of p and -76\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/334460 and 71\/382240.\nAnswer: 2675680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 11*s**2 - 13*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15979 * 55.\nAnswer: 878845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 13 + 2)*(-3*l - 8 + 8) + 26 - 26 + 7*l + l + l - 3*l + 0*l - 2*l + 0*l + (2 - 4 + 1)*(-l + 0*l + 0*l))*(-3 - 4 + 6).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 4, 3020.\nAnswer: -5, -1, 4, 3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -246*n + 245*n. What is the nearest to 2 in n, 0, -3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4028 and 3304444.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 4, c: 1, j: 6, o: 3}. What is prob of sequence jcv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3550402\/137 - -25915. Find the common denominator of 115\/6 and p.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from ggwggggggwwgwg?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 553 + -557. Let f = 3 - 10\/3. What is the closest to f in -31, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and 38.1.\nAnswer: 7124.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -69, -65, -59, -51?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 49\/724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 527\/3, -265, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 140*b - 134*b - 1260. Suppose -b*q + 6030 = -200*q. What is q rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16*c**2 + 8. Let g(w) = -3638 + 1858 + 1780 + 19*w**2. Give g(u(m)).\nAnswer: 4864*m**4 + 4864*m**2 + 1216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 5) in base 10?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19187 - 0.5946.\nAnswer: -19187.5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 - 287.8. Let n = x + -1.73. What is n rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8) + (18 - (38 - 22) - 42)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6776 - -22051?\nAnswer: 28827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21527987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 x when three letters picked without replacement from zzzzzxuuzvx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 215, -2, -5, 3, -29, 129 in decreasing order.\nAnswer: 215, 129, 3, 0, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {v: 4, k: 5, i: 5}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -203016.\nAnswer: -40603.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4. Let g(m) = m + 1. Let o(z) = -4*g(z) + t(z). Let w(h) = 210*h - 102*h - 114*h. Give w(o(a)).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 28 = -5*v + r, -v = -2*r - 14. Which is the second biggest value? (a) v (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 76*l - 35. What is the tens digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242629 is divided by 3181?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-144))\/1*(-60)\/(-15).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -9, -4, 0.5 in descending order.\nAnswer: 0.5, 1\/7, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -22. Suppose -3*i + 4 + c = 0. Suppose -2*x = -4*n + 18, -3*x - 2*x + i*n - 30 = 0. Let l(j) = j**2 + 3*j. What is l(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, -1, -45697 in ascending order.\nAnswer: -45697, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2150823536 and 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 25*f**2 - 27*f - 27. Let k be h(-26). Do -1\/40 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.219846mg to micrograms.\nAnswer: 219.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24584\/(-4) - -1) + -3. Let z = y + 110599\/18. Find the common denominator of z and -25\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 + -11. Suppose -2*h - 3*j = 22 - 66, 0 = 2*h + j - n. What is the remainder when 74 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 0.31. Let w = z - 0.09. Let m = w + -0.144. Round m to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -1730698?\nAnswer: -1730698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 316*j + 314*j - 16 = 0, -3*t - 5*j - 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)*r**(2\/5))\/(r\/(r\/(r*r**(-3))))**(-2\/9) assuming r is positive.\nAnswer: r**(-149\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72 and 71\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t - 9. Let m be i(-7). Let w = 0 - m. Solve -d - 3 = u - 2*d, 0 = -w*d - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*r + 90*r - 1585 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -z + 243, d - 69 - 199 = -z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*(-81)\/(37989\/(-670))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.04 (c) 4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*s = 9*s + 314 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (709 - 33*n - 709)*(2*n + 3*n - 3*n + 2*n**3).\nAnswer: -66*n**4 - 66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -12*n + 1. Let m be q(1). Let x = 93 - 96. Let d = x - m. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2869 and 96338?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/34)\/((-14)\/10920*-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -50.63. Let k = -0.13 + c. Let i = 12 - 8. Sort k, 5, i in ascending order.\nAnswer: k, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**3 - 71*a**3 + 36*a**3 - 3*a**2 + 3*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 67 = 33*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750721169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 143, 3, 5 in decreasing order.\nAnswer: 143, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089113264 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2662273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 (base 8) in base 13?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 5. What is the units digit of b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6631 rounded to 1 dp?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 20301?\nAnswer: 20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 25 = 46*l - 63*l, l + 15 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4 + 0)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1 (c) 750165 (d) 10\/69 (e) 0.4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -w - 5, w + 1 = -4*w - 3*v. Let k(j) = 0*j - 6*j + 0*j + 510*j**2 + 7*j. Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**3*c\/((c\/((c*c\/c**8)\/c))\/c))\/(((c*(((c*c**(-1\/3)*c)\/c)\/c)\/c)\/c)\/c)**30)**(-48) assuming c is positive.\nAnswer: c**(-2976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -37*f - 171. Let p be z(-5). Solve -p = 3*w + 4 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/601470 and -65\/9.\nAnswer: 601470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2187.318 + -2183. Let i = 0.018 - m. Round i to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -164, -0.5 in descending order.\nAnswer: 2, -0.5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + 11 - 7 + 3 in the form c*z**2 + v*z + n and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from aiiwiiiaiiiaiilaa?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/57, 0.1, 0.5, -8, -103?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2. Let o(l) = -13*l. Let w(k) = 3*k. Let i(v) = -2*o(v) - 9*w(v). Determine i(b(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.8 + -59. Is -21 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -379\/4 in 2, 25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuxxuuxuxuxquuhuuuu. Give prob of picking 2 u.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and 55\/45036.\nAnswer: 45036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - 4 + 2)*(92*m**2 - 15*m**2 + 13*m**2).\nAnswer: 180*m**3 - 180*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2171\/(-835) - 51\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*k - 566 = 1016 + 482 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -159*m**2 + 12177*m + 17550.\nAnswer: -3*(m - 78)*(53*m + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppg when four letters picked without replacement from {g: 2, p: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + (108 - 25) - 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/2)\/(-3))\/(((18\/9)\/8)\/(-2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/3*336138\/44. Suppose 8*o = 4*o + r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 51*s - 32. Give u(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 424320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 + 9*s + 7. What is q(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -200, -351, -434, -425, -300?\n\"Answer: 4*d**3 + 10*d**2 - 209*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:43 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 53*v**2 + 1372*v - 2. Give m(16).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 29*c + 0 - 3 - 7 - 3*c**2.\nAnswer: -3*c**2 - 29*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 + 4*i + 4. Let t(o) = -2*o**3 + 11*o**2 - 7*o - 7. What is -7*r(a) - 4*t(a)?\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5164 and -5\/2?\nAnswer: 5164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 19*q + 78 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 1718084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -486\/5*r - 2\/5*r**3 + 1458\/5 + 54\/5*r**2 = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43034?\nAnswer: 2, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4)*(2*s - 4*s + 0*s) + (0 + 0 - 1)*(445379*s + 46 - 891009*s + 445487*s) to the form a*s + q and give a.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32454 less than -335.21?\nAnswer: -32789.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*l**2*o*v - 2*l**2*v*x - 7*l**2*x + l*o*v*x + 2*l*v*x - 5*o*v*x - 5*o*x - 3 wrt o?\nAnswer: 5*l**2*v + l*v*x - 5*v*x - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3435828 by 858957.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24554056.\nAnswer: 1\/12277028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/15 - 67*z**4\/12 - 173*z**3\/6 - 10*z - 10. Find the second derivative of w(a) wrt a.\nAnswer: -24*a**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-304*x - 304*x + 614*x + (-2 + 2 - 1)*(58 + 7*x - 58))*(-5*x + 5*x - 2*x**2) in the form d*x + g*x**2 + y*x**3 + v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 + 1527*v + 15736. Determine l(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -24.2. Let d = s + 0.2. Suppose 2*y - 2 = 4*y + 2*k, 2*y - 5*k + 23 = 0. Which is the biggest value? (a) y (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053)*-3 + -4 + -1)**2 + -4.\nAnswer: 540*sqrt(13) + 37929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8053.2 - 8053. Which is the third biggest value? (a) 179.5 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -1, 63, 2, 3 in decreasing order.\nAnswer: 63, 4, 3, 2, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 68*r**2 + 1035*r + 1550. What is h(27)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1861, 3591, 5323, 7057, 8793, 10531, 12271?\nAnswer: 14013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7738 (base 9) to base 10\nAnswer: -5705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 44000?\nAnswer: -1408000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 9 - 5)*(-4 - 41 + 2)*(-6*h - 7*h - 6*h).\nAnswer: -21242*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32580 divided by 8145?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2077 or 2\/7413?\nAnswer: 2\/7413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/42*(-1 - 2). Let k be 72\/(-3)*8\/(-6). Suppose -k = s + p*l - 368, 326 = s - 5*l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 2*i**3 + 0*i**2 + (4 - i - 4)*(-37*i**2 - 65*i + 65*i - 2) as s + m*i**3 + x*i**2 + f*i and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 8*n**2 + 2. Let m be q(-8). Solve 7 = 5*y + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12310 and 9848.\nAnswer: 49240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*m - 490, -m - 66 - 32 = 5*p. List the prime factors of (-2814)\/m - 4\/(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 5*j**2 - 3*j + 14. Let y be h(5). Sort y, -2, 11, 3 in decreasing order.\nAnswer: 11, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 3. Let w(f) = f - 5*f + 2*f + 3*f + 1. Calculate k(i) + 3*w(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 4*o. Let n(i) = i**2 - i. Let u be ((-5)\/(-2))\/((-4)\/(-8)). Let x = -1 + u. Calculate x*n(p) + t(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 37. Let x be b(9). Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/19415 or 1?\nAnswer: -4\/19415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 - -220. What is the lowest common multiple of 12 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 + 1)*-1. Suppose 3*n + 5*w + 2388 = t*w, -w - 3973 = 5*n. Is 4\/((-8)\/n) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:40 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = 3*v + 64, -n + 74 = -3*v. Let g = v + 39. Suppose 145 = 3*z - u, 5*z - 137 = 2*z - u. Calculate the remainder when z is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 965, 1922, 2879, 3836, 4793, 5750?\nAnswer: 6707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6876 and 121\/1680.\nAnswer: 962640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a + 19*a + 192 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 551 + 2836. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 574 - 533. Calculate the greatest common divisor of 779 and d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603171857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1396 = -4*m + 2*d, 5*m + d + 1232 + 513 = 0. Let f be (10\/(-2) - m) + 6. What is the greatest common factor of f and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 3*f**2 + 7*f - 5. What is d(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -61, -84, -107?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135.27 from 5.\nAnswer: -130.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4\/35 (c) -2\/343 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.11 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 795542.423 less than 22?\nAnswer: -795520.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykhmm. What is prob of sequence km?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -28\/13*b - 58\/13*b**2 + 6\/13*b**4 + 80\/13*b**3 + 0 = 0. Calculate b.\nAnswer: -14, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12696751741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = -c, -2*c + 6 = u - 2. Is u*(-2)\/(-16)*16138 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 16 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33654611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -6, 26, -110?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89069402.\nAnswer: 2, 601, 74101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -6. Suppose r*m + 2*i = 3*m - 12, 5*m - i - 15 = 0. Find the second derivative of 0*w + 3*w**m - 1 + 1 + w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (7 + 1)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = 5. Let t be (-7 - -2)*4\/(-5). List the prime factors of (t - 3)\/(l\/(-19)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1899?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(490))\/sqrt(5) + 2*sqrt(72)*-6 + -3.\nAnswer: -93*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22420+-3\nAnswer: 22417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 248974119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6744 - (29 - 15)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 5*t**4\/24 + 5*t**3\/6 - 7*t**2. Let w(q) = -q + 6. Let b be w(4). Calculate the remainder when 28 is divided by d(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwi when three letters picked without replacement from nnnwrinnr.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + 6*z - 3. Suppose 3*w + 4 = 4*w. Let l be b(w). Solve 0 = l*o - 4*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 9702\/(-609) - -4*2. Sort 1\/4, 3\/2, u, -1, -5 in decreasing order.\nAnswer: 3\/2, 1\/4, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5669, 5646, 5647, 5702, 5841, 6094, 6491?\n\"Answer: 5*r**3 - 18*r**2 - 4*r + 5686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.063 in 27, -5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3328) + 1).\nAnswer: 4 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 160 = 5*j - j, 2*j - 110 = 4*q. Calculate the greatest common factor of j and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 2, s: 2, r: 1, u: 1, z: 2}. Give prob of sequence rsz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50963 is divided by 25444?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, y: 3, c: 2, v: 3, t: 1}. What is prob of sequence pqv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 - -482. Let n(d) = 14*d**3 + 4*d**2 - 3*d - 2. Is 8 a factor of n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 + 26*q**3 + 4*q**2 + 6*q**2.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26.62234 (b) -0.5 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.7 - 0.7. Let n = 0.25 - 0.15. Let m = n - -0.9. What is the biggest value in -1, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*y = 59, -5*h - 7*y + 12*y = -100. Let a be 2*2*26\/8. Let f = a + -8. Calculate the remainder when h is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3157344 (base 10) to base 13\nAnswer: -867168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1689 and -12.3170292534?\nAnswer: 1701.3170292534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63572, -63650, -63774, -63938, -64136?\n\"Answer: j**3 - 29*j**2 + 2*j - 63546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-5)\/(-3)*(-8)\/(-10). Find i such that -9 + 5 + o*i**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144300977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f + 13*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1133 + -1104. Let h(w) = 58*w - 4. Let y be h(3). Suppose -3*d = -f + 40, -3*f - 4*d = -3*d - y. What is the remainder when f is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*n, -5*u - 5*n = -10*u + 35. Let o(j) = 2*j**3. Calculate o(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-250000)\/1)\/(7\/(-336)). Suppose -l = -5*z + 2*z - 5*o, 5*z + 3*o - 20000000 = 0. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 - 9*g - 64. Let j be i(8). Which is the nearest to -0.1? (a) -0.15 (b) j (c) 2\/5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(57\/(-76))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*g + 136, -4*g - g - 5*b + 350 = 0. What is the remainder when 231 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q + 7. Let f be k(-5). Let h = -9267 - -9267.1. Suppose 0 = 3*w - 6, 3*z + 0*z - w + 8 = 0. Which is the closest to h? (a) 1 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200732715 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.71 + -0.29. Let u = -13 - x. Sort u, 5, 3\/5 in decreasing order.\nAnswer: 5, u, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.132? (a) -49 (b) 0.4 (c) -0.5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, q: 2}. Give prob of sequence qqoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 57 = 7*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*q = 190*q - 162. Let c(a) be the second derivative of 0 + 5\/2*a**2 - a**q - 2\/3*a**4 - 9*a - 1\/20*a**5. Give c(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 576. Let o be v(0). Let f(x) = 55*x + 8. Let u be f(7). Let w = o - u. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17*(11 + -10)*(-8)\/90 and -19\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and 21\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -347 + -4?\nAnswer: -34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 100101101010111100?\nAnswer: 100101101010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 345171040 = 5*y, -2*y + 571218270 = -4*p + 110990286. Round p to the nearest 1000000.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/195763 (b) 4\/9 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 - 2*m + 2. Suppose -5*s = 4*n - 26 + 4, -4*n + 6 = -3*s. Let o be r(n). Solve -o*h + 15 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2085294*j**2 - 1547188*j?\nAnswer: -4170588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1753496619 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55948539.81+21.3\nAnswer: -55948518.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -0.55. What is the nearest to -2\/3 in -1\/8, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 2*m**3 + 17*m**3.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -657, -3, -2372, -5, -2 in decreasing order.\nAnswer: 5, -2, -3, -5, -657, -2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 + 64 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23635510 divided by 14153\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -35. Let j = 131 - q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18010*l**4 - 544*l**2 + 4?\nAnswer: 432240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(8)\/sqrt(2)*6 - sqrt(4)) + (-2 + (sqrt(96)\/sqrt(2))**2 - sqrt(48)) + 0)*-3.\nAnswer: -138 + 48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2123 and 67\/2324685.\nAnswer: 2324685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (74 + -80 - (6 - -1)) + 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 359336?\nAnswer: 1\/179668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -21. Suppose -3*r + 2*t + w = -6, -3*r - 5*t - 14 = 0. What is the nearest to 2\/5 in 0.5, r, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + -1)**2 + (sqrt(245) - sqrt(245)*4)**2.\nAnswer: -40*sqrt(5) + 4206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214956 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -3*u + 1149. Suppose 2*k - u + 12 = 2*l, -481 = -3*k + 5*l. Suppose 4*o + 22 = k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 173*w**4\/24 - 223*w**3\/2 - 9*w**2 + 1. What is the first derivative of p(b) wrt b?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + r - 4*r + 2*r)*(1 + 3 + 4).\nAnswer: -8*r - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3188277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98)*-1 + 4)))*4)**2 + 3 + sqrt(98)*1 + ((1 + 2 + sqrt(98) - sqrt(98))**2 - sqrt(98)).\nAnswer: -3584*sqrt(2) + 25356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 4*z - 1024. Suppose -3*v = -6*v - 2*o + z, 2*o = 3*v - 236. Suppose -3*n - 2*n - 3*p + 454 = 0, 5*p = -n + v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 261 - 249.3. Let o = 74.7 - j. Let m = o + -62. What is the closest to m in 4, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(15\/(-2))\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6808 divided by -166\nAnswer: -3404\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822 divided by 1342.\nAnswer: 411\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1110)\/1000*(-2)\/(-3) and -13\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itueeieeeeiihtiitnnh. What is prob of picking 1 n and 1 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 63334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.6 + -5.3. Suppose 0 = 3*p + 5 - 20, 1 = -3*y + 2*p. What is the closest to -1\/2 in j, y, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -452 < -1805\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 + 3*p**2 - 5*p**2)*(0*p - 4*p + 5*p) - 2*p**3 + 0*p**3 + 0*p**3 + 3*p - 3*p - 3*p**3 in the form q*p**2 + i*p + g*p**3 + s and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 3*d + 0*d)*(0*d + 5*d - 3*d)*(2 + d - 2).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5084495.\nAnswer: 5, 13, 19, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 - 4*z + 1. Let x be y(-3). Find the third derivative of 2*b**5 - x*b**2 - 5*b**5 + b**2 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 4. Let j(b) = b - 4. Let s(o) = -3*a(o) - 2*j(o). Find the first derivative of s(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44466745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 = 3*g - 26, -5*g = 8*q - 2*q + 49 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -13*h - 2. Suppose 0 = 5*d - 10*d - 3*a + 35, 0 = 2*a. Let l = 12 - d. Calculate the lowest common multiple of l and x(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -150, -17, 118, 255?\n\"Answer: m**2 + 130*m - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {c: 4, e: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtgrrrrrrccgcrrcr. What is prob of picking 1 t, 2 c, and 1 r?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 885 + -896.14. What is v rounded to 1 decimal place?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -1\/120*s**6 + 0*s**4 - 134*s**2 + 0 + 0*s - 1\/6*s**3 + 1\/20*s**5. Let m be 1\/2 - 9\/(-6). Calculate n(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -9. Suppose 3*a = 2*a + k. Is 7 a factor of (-5 - -5) + a*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(8\/7))\/b*b))**(-4\/19) assuming b is positive.\nAnswer: b**(-32\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 3, q: 2, u: 6, t: 4, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*w + 687 = 157, 3*w + 525 = -5*l. Calculate the remainder when (6 - 5)\/((-3)\/l) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10458.507 - -0.08?\nAnswer: 10458.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 6*l + 3. Let r = -87 + 83. What is t(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 0.1?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 20. Let k be p(-17). Let m(j) be the second derivative of 2\/3*j**3 + 0 + 1\/12*j**4 + 3\/2*j**2 + k*j. Calculate m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 - 2232*c**2\/5 - 251586*c\/5 - 416988 = 0. What is c?\nAnswer: -990, -117, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -1 + sqrt(288))**2 - (sqrt(250)\/sqrt(5))**2)*2*3.\nAnswer: -288*sqrt(2) + 6618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -3*k + 73*h - 72*h, 3*h - 269 = 42*k + 658 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 1, n: 5, m: 1, b: 1}. What is prob of sequence zbnn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 2145, 3487, 5365, 7779, 10729, 14215?\nAnswer: 18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(1\/4)*m*m*m)**(-22)\/(m*(m\/m**(1\/2))\/m*m)**21*(((m\/(m*(m\/m**(-1\/3))\/m))\/m)\/m*m)\/(m**3\/m*m)*(m*m\/m**4*m*m)\/(m**7\/m) assuming m is positive.\nAnswer: m**(-439\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 230259749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 5 + 2)*(1 + 2*w - 2*w + 2*w)*(-4 + 3 - 1) - 68 + 68 - 12*w - w + 0*w + 3*w.\nAnswer: 142*w + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*j - 7. Suppose 16 = j*a, c - 72 = 2*a - 6*a. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322294330?\nAnswer: 2, 5, 17, 1171, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 331084*u**2 + 662156*u + 331076.\nAnswer: 4*(u + 1)**2*(u + 82769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z + 4 = 0. What is the second derivative of 662*m - 44*m**z - 328*m - 336*m wrt m?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ba55b1 (base 12) to base 8\nAnswer: -13211425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49\/2 + 26. Let k(a) = a**3 - 7*a**2 - a + 9. Let d be k(7). Let -3\/2*u**d - 3*u - z = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10.5. Suppose -127 = -3*u - 46. Let l(w) = w**2 - 25*w - 53. Let r be l(u). What is the closest to 1 in -2\/11, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 305, 929, 2135, 4121, 7085, 11225?\n\"Answer: 33*g**3 - 6*g**2 + 27*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004261 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*u + 7 = 0, 5*d - u + 2 = 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:31 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -729259.304 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*d**3 + 1735*d**2 + 799668*d.\nAnswer: 486*d + 3470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - f - 80 = 0, -6*q + 2*q = -5*f + 64. Let x = 18 + q. Let b = x - -21. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*z + 2360 + 3890. Calculate the remainder when z is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 456 + 361. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108796 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7704000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (-39)\/(-15))*-35. Suppose -3*t + 9 + v = 0. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*l - 47, -85 = 5*l + 7*r - 12*r. Suppose 2*w = -0*w + 170. Let i = l + w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.143481 + 25.149681. Let f = 24.53 - -0.47. Let y = f - q. Round y to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 14 - 48)*(-2*o**3 + 0*o**2 + 0*o**2) in the form w*o**2 + s*o**3 + c*o + k and give s.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*p + 3826694 = -70*p + 1154. What are the prime factors of p?\nAnswer: 53, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2299))*-6 - (sqrt(2299) + -1 + 5 + sqrt(2299)))**2*6 - (sqrt(171)*1*-4)\/(sqrt(9)*3*-1).\nAnswer: -6340*sqrt(19)\/3 + 882840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -4, 9, 5 in ascending order.\nAnswer: -8, -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 6. Let n be x(-3). Suppose 3*v - 5*i = -1, -4*i + 5 + n = -v. Find the second derivative of 252*q**2 - 252*q**2 - q**4 - v*q wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -60, -128, -224?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21469 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.368 and -96.\nAnswer: -74.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3334406 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 27729 = -3*l + 7*l, -4*c = l - 36959. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/7? (a) -2\/9 (b) -2\/15 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/45696 and 71\/2856?\nAnswer: 45696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -5. Let u = l - -47. Suppose -153 = -4*x + 5*n, n + u*n = -4. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(20)\/sqrt(4)*2.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:09 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4595060 divided by -4.\nAnswer: 1148765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -290967636 divided by -6\nAnswer: 48494606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-2625)*5*(-5)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2*(-2)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 - 1\/5*i**5 + 17*i**2 - 3\/20*i**6 + 0*i**3 + i**4 + 1\/70*i**7 - i + 1\/112*i**8. Factor l(w).\nAnswer: 3*w*(w - 2)*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/7)\/t*t*t)*t**7*t*(t**1)**(-35\/6))\/((t**(1\/4)\/t)**(3\/23)*(t**(2\/5))**(3\/31)) assuming t is positive.\nAnswer: t**(752093\/299460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 22 - 23 - 26*j.\nAnswer: -31*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 24*o - 70 = -14*o, -5*o = -15 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(sqrt(108) - (sqrt(108) + 2*sqrt(108)*-6)))\/(sqrt(216)*1 - -6*sqrt(18)\/sqrt(3)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3)\/(33*12\/(-15642))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -13. Let z be 3\/(((-18)\/8)\/(-3)). Suppose -3*l + 0 = -12. Solve -l*m = -z, -s + m = o*m - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 18 = g, -g + 17 = -p + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/7)\/(2\/7). Suppose -o*p + 0*p = -6*p. Suppose -u - 140 = -6*u + 2*t, p = 2*u + 2*t - 42. Calculate the highest common divisor of u and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 2*o + 3. Let r be h(-3). Suppose 3*d = -3*d + d. Let t be d*5\/(-10) + 2. Solve c + t*c = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/16988 and -29\/113025.\nAnswer: 14015100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103812078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2307 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let i(h) = -h. Let q = 5 + 1. Let w(g) = g - 1. Let d be w(q). Let l(u) = d*i(u) + r(u). Let a(k) = 3*k. Determine l(a(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -5*k + 3, 3*k - 6 = -2*r. Solve 2*j - 7 = -5*q, q - 3*j - 1 = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:46 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3327*s**3 + 5*s**2 + 23*s + 10. Let d be f(-6). Let b = -472684 + d. What is b rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 19. Let t(b) = -b + 18. Let q be t(r). Sort 2, 1, q in decreasing order.\nAnswer: q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 19045635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2\/9*k**4 + 1\/9*k**3 + 0*k**2 - 1\/30*k**5 + 0 + 4\/45*k**6 + k. Solve c(f) = 0 for f.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 123 = 3*w - 30*t, 0 = -4*w - 3*t + 32 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7004581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50219\/60 + 837. Let j(m) be the second derivative of 0 + 1\/10*m**2 - d*m**4 - 11*m - 1\/100*m**5 + 1\/30*m**3. Factor j(o).\nAnswer: -(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let x(h) = s*h**2 + 0*h**2 + 2*h**2. Let z(k) be the second derivative of -k**4\/6 + 2*k. Give x(z(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k**3\/k*k)\/(k**(6\/7)\/((k*k\/(k**1\/k))\/k)) assuming k is positive.\nAnswer: k**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/4 + 799*w**3\/4 + 801*w**2\/2 = 0. Calculate w.\nAnswer: -2, 0, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -1096.\nAnswer: 55\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9\/(-18))\/(4\/(-56))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 16 - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s**3 + 2*s + 2. Let k be j(-1). Let c be (1\/3)\/(0 - 2\/k). Solve c*l - 7 + 23 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -8*l**2 - 17*l - 1\/3*l**4 + 0 - 8\/3*l**3. Solve m(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 220.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34767835 and 88.\nAnswer: 34767923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 48 = -12*j. What is the least common multiple of 27 and (-902)\/(-154) - (j\/21)\/(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 - 2*o**2 + 1. Let g be s(-1). Suppose 0 = -0*i - i + g*j + 213, i = -j + 198. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11650 + -11651. What is the fourth biggest value in 1\/3, 3, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.741 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 + v + 1. Let l be m(0). Let b be l*8*1\/2. Let x(s) = -9*s. Let p(i) = 16*i + 1. Let c(g) = 5*p(g) + 9*x(g). What is c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010730596 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11782.36 plus -80.1879?\nAnswer: -11862.5479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-5)*o)\/o)\/(o**(-1\/4)*o)*o**(1\/2)*o*o**5)**(7\/2))**(-22) assuming o is positive.\nAnswer: o**(-539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.2 - 59.747. Let w = -0.053 + v. What is the second smallest value in w, 2, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 29 in descending order.\nAnswer: 29, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 481932390 a multiple of 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -11. Let m be 10\/((-1 + h)*1). What is the third smallest value in m, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53644 or 1237?\nAnswer: 53644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -3. Is 446\/z*(-3)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.753 and 145.365?\nAnswer: 109.459845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -2. Let t = -3.2 - 86.8. Let h = 90 + t. Which is the nearest to 2\/5? (a) h (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 321 - 7b379?\nAnswer: -7b058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5611?\nAnswer: 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 13*v + 6*v + o + 248, 118 = 2*v + o for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 75 = -0. Sort 2, m, -5 in descending order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i - 2 - 2*i - 3*i - 8. Let d be y(-9). Suppose -4*l - l = -10. Calculate the greatest common divisor of l and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -39*j**2 - 11. Let x(z) = -4*z - 15. Give x(n(p)).\nAnswer: 156*p**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(162)*5)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 8*k - 17. What is l(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6506 and -3.251?\nAnswer: 6502.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 4*k = 22 + 14, 12 = -r + 10*k + 3*k - 23 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344*12\/(-3)*(-322)\/184 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**5*x + 5*j**3*x + j**2 - 348*j*x wrt j.\nAnswer: -120*j**3*x + 30*j*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2*j**3 + j**2)*(-2*j**2 - 2 + 2) - j**5 - 2*j**5 + j**5 - 6*j**5 - 6*j**5 + 41*j**5.\nAnswer: 31*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256951337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18648 and 453768.\nAnswer: 1361304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kksfjffjttfnkff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*n**2 + 46.\nAnswer: -302*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1943 divide 18985053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u - 463*u**2 - 26*u.\nAnswer: -463*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*((sqrt(931) + sqrt(931) + (sqrt(931) - (0 + sqrt(931))) + 2)*-5 + -1)**2*4)*-6.\nAnswer: 184800*sqrt(19) + 11186538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -186*p - 198. What is the remainder when j(-3) is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.017\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 49631\/3100)\/(25\/100)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:49 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-10)*12*11\/594*9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + q + 22 + 4 = 0, 3*v + q = -16. Let r(u) = u**2 + u - 7. Give r(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = -4. Suppose 3*q + 1 + 3 = 2*o, u*q = 3*o - 5. Let v = 2 + o. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b + 59. Let t be l(7). Let h be ((-2)\/t)\/((-6)\/(18\/(-19))). Suppose -5*v + 4*i = -v, 4*i - 8 = -4*v. Is v greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6 - -9) + (-8 + -2 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -2665547\nAnswer: -24\/2665547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-2*f**5 + 3*f**5 - 2*f**5) + 3*f**5 - 6*f**5 + 2*f**3 - f**3.\nAnswer: -2*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1192.5 in 5, 2\/11, -2, -0.698, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 12*s + 6. Let u(o) = 4*o**2 - 40*o + 20. Let m(y) = -10*r(y) + 3*u(y). Let c(l) be the third derivative of -l**4\/12 - l**2. Calculate m(c(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = -m + 2*t, -2*m + 7*t = 4*t + 965. Let h = -285 - m. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1553*g**2 - 7822*g - 6. Calculate n(-5).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:16 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51703 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7605 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 6*s + 3. Let k be w(-6). Let a = -2 + -5. Let b = a + 10. Solve -u - 3*u + b = z, -u = k*z + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585529235 rounded to the nearest 1000000?\nAnswer: -586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 5, x: 8}. Give prob of picking 1 l and 2 x.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 3884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103935*d**5 - d**4 - 2578*d?\nAnswer: -2078700*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41146, -41140, -41134, -41128, -41122?\nAnswer: -41116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 39707\nAnswer: -15882.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -15*p + 90 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*r + 4 - 14, -16 = -4*r. Suppose 0 = 2*g + 3*g + 2*s - 61, 0 = -5*g + w*s + 49. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f - 8. Let q be r(-4). Solve 0 = -0*n + 8*n + q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13321 in 1, 0.5, 5, -0.35, -4?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 0.4, 2, -15, -4, -1\/2 in decreasing order.\nAnswer: 313, 2, 0.4, -1\/2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 2*t + 1. Let d be n(1). Let q(f) = 13*f + 73. Let c be q(d). Solve 4*w = c*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 - 7*z**5\/30 + z**4\/8 - 4*z**3\/3 + z**2. What are the prime factors of o(14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from oooubuobuoxubuubo?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - 0?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114934299\/1144 + -100467. Find the common denominator of 27\/832 and a.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136491115 and 2.\nAnswer: 272982230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -3 - (-1 - 2) - 5 - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*k - 17*k + 396 = 77*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 3, m: 2}. What is prob of picking 2 y and 2 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 12*w**2 + 26*w - 22. Let f(r) = r**3 - 19*r**2 - 41*r + 35. Let a(u) = 5*f(u) + 8*z(u). Determine a(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*v - 17 = 0, 4*v = -8 + 28. Suppose -3*q = -b - 2. Suppose q = 5*f + 4*g, -3*f + f = 4*g + 4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 - 60. Suppose 0*d - 4*d + s = 0. Let h(b) = -b**3 + 5*b**2 + 6*b + 6. Let n be h(6). Calculate the greatest common factor of d and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let n(d) = d**3 - 2*d**2 - 9*d + 9. Let m be n(s). Suppose -5*t + 5*r + 35 = 0, -11 = -4*t + r + m. Solve 2*p + 1 - t = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4207 (b) -0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -7) + (-52)\/6 + 2\/(-6). Let k = -2014\/10827 + 1\/1203. Sort w, 3, k.\nAnswer: w, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 91. Suppose 5*u - 5*w + 61 = -n, 2*w = -3*u - 73. Let x = -21 - u. Solve 15 = x*s + 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 2*f)*(2*f + 4*f + 0*f) - f**2 + 0*f - 2*f + 0*f**2.\nAnswer: -25*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504755 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 3}. What is prob of sequence wv?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10210 divided by -5.\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -104 (c) 1\/6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 140 = -6*r + 136 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 4. Let m(b) = -49*b - 23. Determine -6*j(l) - m(l).\nAnswer: 55*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.44. Let q = -0.07 + w. Let l = 3.03 + q. What is the biggest value in 0.5, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = -347826 + 347790 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Suppose -3*a = -0*a - s - 10, -5*a + 13 = 2*s. What is the nearest to p in -0.5, -1\/6, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18258 - 446 = -5*y + 3*g, 2*y + 2*g = 7488. Let n = -2363 + y. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.3935 centuries to months.\nAnswer: 954472.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 46. Determine m(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192395 divided by -38479.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/(-10) - ((-25)\/20)\/((-110)\/528). What is the third biggest value in d, -31, 5.3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1668 and 60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38395280 and 3680?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g**2 + 31*g**2 + 0*g**2.\nAnswer: 106*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -r, -3*u + 6 = -r + 18. Suppose -4*p = 4*a - 108, 3*a + 4*p + 3 - 85 = r. Suppose 0*i - 2*t = 2*i - 58, 2*t + a = i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 159 = 2*s - 31, -3*n = 4*s - 378. What is the greatest common factor of 992 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 24*x + 1)*(-14 - 7 + 7 + (-2 + 2 - 2)*(-2 + 5 + 0)).\nAnswer: -480*x - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkyyvfvbrvkvy. Give prob of picking 1 y, 2 k, and 1 b.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 722, 0.13, -0.058, -0.3 in decreasing order.\nAnswer: 722, 2\/7, 0.13, -0.058, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 419*v + 1915. What is b(-135)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5446*u**4 - 2*u - 50128 wrt u?\nAnswer: -21784*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539))*-3.\nAnswer: -27*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 91?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, -58.99, 3\/8, 1\/2 in decreasing order.\nAnswer: 1\/2, 3\/8, -4, -21, -58.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 123 (b) -95\/6 (c) -3 (d) -397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:49 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*((-4*(sqrt(176) + sqrt(176)*2) - sqrt(176)) + -3))**2.\nAnswer: 1248*sqrt(11) + 119008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 17 = -d, -k - 2 - 5 = -d. Suppose 3*y + 3*n = 0, -4*y - d*n = -5*y. Suppose y = 5*c - 3*c - 60. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -11.2. What is the second smallest value in -3, -5, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:06 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8715065201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240*n**3\/3 + 86785*n**2\/3 + 1517950*n\/3 - 6125 = 0. What is n?\nAnswer: -35, 3\/248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 594.6462 millennia?\nAnswer: 59464.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 6298 - 4174. Suppose o = 2*s + 9*s. What is the remainder when s is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/41 + (-3)\/(9\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3398656859 and 3.\nAnswer: -3398656856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16579080 and 3780.\nAnswer: 16579080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/66 and -27\/9394.\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 2 + -4 + 0. Let r = -0.5 + 1.5. Let y = -3 + 2.9. Which is the nearest to y? (a) 0.5 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*t + 4. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p - 67 = -5*d, 184 = -5*p - 4*d. Put 5, p, 1 in descending order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53333.36 litres to millilitres.\nAnswer: 53333360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30298)\/8)\/((-15)\/((-180)\/(-39)) - -3).\nAnswer: 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2565 + -2565.00004325. Round m to 6 decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378 + 162 - 344 = 130*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**7\/168 + s**6\/120 + s**5\/16 + s**4\/16 + 453*s. Determine k, given that v(k) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -4 + -250)*5\/(-2). Suppose 5*o - p = 5*d, 0*o + 220 = 2*o + 4*d. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v + 84 = -22*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*y + 63, 2*y = r + 7*y - 56. Let z(f) = -f**3 + 17*f**2 + 18*f + 16. Calculate the remainder when r is divided by z(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-29 - 17 - -16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/6)\/((-10)\/60). Suppose -g + 9*j = 8*j - 144, i*j - 612 = -4*g. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -4 (c) 8.5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 24*x**3 + 3*x**2 - 6*x - 1. Let s be 4 + (2 - (4 + -2)). Let g be f(s). Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/5 (c) -1\/2229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 467\/4 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a. Let u(t) = -t. Let v(o) = -4*q(o) - 11*u(o). Let y(l) be the third derivative of 0*l**3 + 0*l + 1\/6*l**4 + 7*l**2 + 0. What is v(y(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64686 and 2?\nAnswer: 64686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n + 2. Let v = 9 - 6. Let z be r(v). Suppose 0 = z*w - 19 - 1156. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 26 = 22. What is the smallest common multiple of l and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 4*x**2 - 120*x\/7 + 144\/7.\nAnswer: -2*(x - 6)**2*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 c when four letters picked without replacement from yyycjcljcjjyyycjyyyf?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -77, -119, -161, -203, -245?\n\"Answer: -42*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828 a factor of 28639119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71968 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -34. Suppose p = -6*h + 3*h + 10077. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 26. Suppose -5*a + 47 = -4*x, -a = -2*a - 4*x + 19. Calculate the lowest common multiple of n and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52783 - -52805. Let t = 4 + 1. Suppose -3*q + t*u = -80, -4*q - 27 = 4*u - 155. Calculate the lowest common multiple of q and z.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/(26\/(-52)). What is the smallest value in f, -53, -3?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59204433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-30))\/(22\/11 + 0)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -902307 by -3.\nAnswer: 300769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2 + 2 - 2*c**2. Let m(v) = 6*v. Let z(s) = -5*s. Let q(g) = -3*m(g) - 4*z(g). What is a(q(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -112961 bigger than -112961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15a (base 16) in base 8?\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -115 * -5401\nAnswer: 621115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -1\/5 (b) 1.6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(3\/(-9)). Suppose -3*y - p*y - 5*w = -10, 0 = 4*y - 3*w + 6. Suppose y = 3*x + x - 868. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13695 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 + (-1 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.050753 and -2022884631.\nAnswer: -2022884630.949247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1347\/12 + 3\/(-12). Suppose -2*q + 59*c = 55*c, -112 = -6*q - 2*c. Calculate the greatest common divisor of q and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in 20, -1, -649, 2\/11, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 153*t**2 + 315*t + 767. Calculate p(-155).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -134. Let j = -46.8 + n. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3b2?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/120 - z**5\/5 + 11*z**4\/24 + z**3\/6 + 2*z**2. Let h be p(12). Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 12*i - 26. Let s be c(-5). Suppose -2*z - y = -z, 5*y + s = -2*z. Put 2, z, 5, -3 in increasing order.\nAnswer: -3, 2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 159331774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -296 - -319. Suppose -208 = 10*p - m*p. Calculate the remainder when 52 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1040, -11, -86 in ascending order.\nAnswer: -86, -11, 4, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267578 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i = 11*i + 35. Let c(t) = 6*t**3 + 2*t**2 - 16*t - 5. Let y(n) = 7*n**3 + 2*n**2 - 17*n - 6. Calculate i*y(h) + 6*c(h).\nAnswer: h**3 + 2*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86655552?\nAnswer: 2, 3, 451331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.43496892 and -0.02.\nAnswer: -0.0286993784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -1 - (620 - 616)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 11 = -2*q, -1102*v = 3*q - 1101*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433966886 divided by 47.\nAnswer: 9233338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 17*a + 11. Let f be u(-9). Suppose 0 = -3*v + 2*p + 295, -4*p = f*v - 164 - 38. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 + 1*(0 - 2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfbvf. What is prob of picking 1 f and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29010 divided by -967.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, o: 5}. What is prob of picking 2 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 2*d**6\/15 + 2*d**5\/5 - 13*d**4\/3 - 28*d**3\/3 + 48*d**2 - d + 264. Let s(o) = 0. Calculate o.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.3 + -9.3. Suppose 0 = 2*p - 2*s + 3*s + 11, 4 = -4*p + 4*s. Let o = -1\/10 - -13\/30. Which is the nearest to o? (a) g (b) 2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3\/2 (c) -11 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**13)\/h**7)\/((h\/h**(-4))\/(h\/(h*h\/(h*h\/(h*h*h**(1\/4)*h*h*h))*h))) assuming h is positive.\nAnswer: h**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 2*s**3 + 2*s**3)*(-146 + 146 - 15*s).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o + 1. Let z(t) = 17*t + 1. Determine 2*m(b) - 3*z(b).\nAnswer: -17*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 147. Let o(c) = 15*c**3 - 6*c**2 + 8*c + 11. Let j(t) = 5*t**3 - 2*t**2 + 3*t + 4. Let h(f) = 8*j(f) - 3*o(f). Give h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (5 + (7 - 13))) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 0.44. Let k(m) = -m**2 - 7*m - 5. Let t be k(-5). Let r be (t\/(-6))\/5*2. Sort r, o, 1\/4 in decreasing order.\nAnswer: 1\/4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-960)\/(-32))\/((-15318)\/222)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 3. Let d be (-8)\/h - 72\/20. Let i be 10\/d + 130\/52. Solve 4*t - 7 - 5 = i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5\/9 + 4*g**4\/3 + 20*g**3\/9 - 32*g**2\/9 - 22*g\/3 - 28\/9 = 0.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.031 + 11.779. Round g to one decimal place.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 5:23 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r - 16*r + 2*c + 4, 0 = r - c + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*3157\nAnswer: 12628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 570.\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6055*z**3 + 6464*z**2.\nAnswer: 36330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348936 and 18760?\nAnswer: 1744680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.09 + -5.\nAnswer: 15.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 2:21 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 855, 1340, 1857, 2406, 2987?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441020 (base 5) to base 12.\nAnswer: -8913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 489, 7*u - 11*u + 936 = 4*j. Calculate the lowest common multiple of j and 6\/3*2\/4*6.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*i + i. Calculate the remainder when 17 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + n + 2 - 13 = 0, -5*p + 28 = 3*n. Put p, 0, -12 in descending order.\nAnswer: p, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:28 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 - 31 - 20 + (4 + 0 + 0)*(-3 + 3 - 2))*(p + 8*p + 2*p) as h*p + k and give h.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -2 (b) 2\/7 (c) -0.26 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q, 2*l = 5*q + 24 + 16. Suppose l*b = 18*b - 2175. What are the prime factors of b?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffqffffffffffffffff.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-462))\/(36\/216)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u - 58295 = -1794422. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1534\/49 or 31?\nAnswer: 1534\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 5443*u**2\/4 - 1371738*u.\nAnswer: -u*(u - 4107)*(u - 1336)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*p**3*v**3 - p**3*v + 121*p**2*v**3 - 50*p**2*v**2 - 9*p*v**2 + p wrt v.\nAnswer: 576*p**3 + 726*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-12))*c*c**(-4)*(c*(c\/(((((c\/(c*c**8)*c)\/c)\/c)\/c)\/c))\/c)\/c**(-7) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 - 7*v - 6. Calculate r(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/7 - 844*z**4\/7 - 3335*z**3\/7 + 21100*z**2\/7 + 12000*z = 0.\nAnswer: -840, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 450.8974 millennia?\nAnswer: 4508.974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1023323 and -59\/211722.\nAnswer: 6139938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -22364930*i**2. Let k(r) = -9*r. Calculate k(y(z)).\nAnswer: 201284370*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1389 - 1387. Solve -5*v + r*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -23*h + 62. Solve 5*b - 3*b - 12 = -4*w, h*w = -2*b + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -65. Let w be 2\/(-2) + (-11)\/(-9). Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 196302923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 7. Let t = -10 + 3. Let s be n(t). Suppose -3*f = p + 4*p - 19, f - p - 9 = s. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 197 or -95\/272?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/(-3))\/(30\/(-9)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/4 + 8429301*r**2\/2 - 33717207*r\/4 + 4214651 = 0. What is r?\nAnswer: -16858604, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-8))\/(7806\/(-10408))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7*((-24)\/196)\/(23\/23)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(475)*2*-3)**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 15*m + 40500000. What is m rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110021 (base 3) to base 13.\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (384\/(-48) - -10) + (-30)\/(-9)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3 - 7. Suppose h*l - 20 = -2*l. Find the second derivative of 3*p + 2*p**5 - 5*p**l + 0*p**5 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 252, 284, 312, 336, 356, 372?\n\"Answer: -2*u**2 + 38*u + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1858 and 23421?\nAnswer: -43516218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + (sqrt(15)\/sqrt(3) + -4 - sqrt(5))**2) - (4 + (sqrt(5) - -1*sqrt(5)) - -2*2*sqrt(5)).\nAnswer: -36 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -2501.\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2\/5*x - 2 - 2\/15*x**3 - 2\/5*x**2. What is i in t(i) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 32 = -3*f, -4 = f - 41*m + 36*m for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/3*(-1)\/(2\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7859934.51 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18*s - 142. Let o be f(-10). Which is bigger: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-250)\/(-45)))\/((3\/805)\/((-406)\/1421))?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let y(x) = -2*x**3 - 12*x**2 - 20*x - 8. Suppose i - 7 = 3*g, 17*g - 14*g = -i + 1. Let k(w) = i*v(w) + 2*y(w). Factor k(t).\nAnswer: -4*(t + 1)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8bd + 11325?\nAnswer: 10846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.7 - 20.7. Let a = 27 - 50. Let c = a + u. What is the third biggest value in -1\/3, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -2822363\nAnswer: -19\/2822363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/(23*2\/230)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5\/6 (c) 0.03 (d) -0.042 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let y = 2777 + -2777.4. Suppose k + 25 = 6*k. Which is the third smallest value? (a) y (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306308.0956 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 3*r**2 + 7*r**2 + 8*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 16}. Give prob of sequence bobb.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -617315\/2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/524576 and 5\/524576.\nAnswer: 524576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135 + -155 + 30 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**5 + 23*j**4\/4 - 560*j + 693. Differentiate o(a) with respect to a.\nAnswer: 20*a**3 + 69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:48 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 383.3 * -0.04\nAnswer: -15.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 58376 + 76353. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1.9, -12.6, 123 in decreasing order.\nAnswer: 123, 2, 1.9, -12.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3480027 or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 174136\nAnswer: 9\/174136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/21)\/((-750)\/(-12250))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + p**2 + p**2 + p**2 - 6*p**2.\nAnswer: -3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16236 is divided by 170?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*z. Suppose -2*x - 5 = -3*x, z = 2*v - 4*x + 18. What is the second smallest value in -4, 4, -19, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16428851, -16428853, -16428855, -16428857, -16428859?\n\"Answer: -2*m - 16428849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404993181779.15600007 - 404993187460. Let s = p - -5680.734. Let k = s - -0.11. What is k rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 832, 1247, 1662?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 36. Suppose -16*d - 115 = 61. What is m(d)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by -8.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 1278*t**2 + 24033*t - 25308.\nAnswer: -3*(t - 444)*(t - 1)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03386 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.625276002 rounded to two decimal places?\nAnswer: 5.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(1 - (0 + -3 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24697422.\nAnswer: 2, 3, 1372079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -356 - -410. What is the least common multiple of f and 66?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhn when three letters picked without replacement from hhhdhhnhhdhwh.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 3*p**2 - 3*p - 5. Let w be f(-3). Factor -w*j**5 - 2*j**3 + 9*j - 13*j + 10*j**3.\nAnswer: -4*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15281535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213775165 - -20?\nAnswer: -213775145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10674 + d**4 - 3*d - d - 4*d**3 - 10725 + 4*d as n*d**2 + h*d**4 + u*d**3 + z*d + r and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 10. Find the third derivative of -2*f**2 - f**3 + v*f**3 + 0*f**3 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 2 = -16. Let p(q) = 4*q. Let j(i) = i + 2. Let g(d) = -2*d + d - 5 - 2*d. Let f(k) = -2*g(k) - 5*j(k). What is n*p(h) + 9*f(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1403*s**3*t + 30608*s**3 + 2*s*t - 4436*s*u - t*u**3 + 428*t + u**3 wrt t?\nAnswer: -1403*s**3 + 2*s - u**3 + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1077812 and 28556?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 - -871. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 9*v**2 + 6*v + 46. Let h be n(10). Suppose -16 = -2*l - h. Solve 0 = -l*d - 3 - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from xnnnnnndnnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-33))\/(5190\/(-1903)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14481236 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 2574?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7818+2.82\nAnswer: 7820.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:49 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 9, e: 1, o: 8}. Give prob of sequence ecje.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:51 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810.7 to the nearest ten.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22072 + -22067. Solve -2*t + 2*n = -t - 10, -g*t + 20 = -4*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15189.6 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187177*k - 5*r = -187175*k - 39, 4*k = 18*r - 62 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -3 (c) -4\/29 (d) -648\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1200.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 1 - 1)*(625 - w - 617 + 0*w) in the form f*w**2 + h + j*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*o**3 + 51*o**3 - 111*o**3.\nAnswer: -224*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14160)\/(-192) + -73)*16\/201.\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(sqrt(500) + 0 + sqrt(500)) + -3.\nAnswer: -80*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*a - 184 = 0, -2*a + 0*a + 128 = 2*i. List the prime factors of i\/10*(-6 + 16).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**4\/4 + 5*v**3\/3 - 3*v**2 - 4*v + 40. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -41426.\nAnswer: 41427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 + -145. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 3)*-1 - 12. Let l = c + -60. Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 1315 + 2*q - 1311.\nAnswer: 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 58927*h - 1. Let f(q) = 915*q. What is p(f(d))?\nAnswer: 1674450*d**2 - 53918205*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 0 (b) -3\/11 (c) 5347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, x: 5}. Give prob of picking 1 x and 1 j.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 3*o**2 - 4*o + 2. Let w(f) = -2*f**3 - 4*f**2 - 5*f + 2. Calculate -5*r(p) + 4*w(p).\nAnswer: 2*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29264?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*t**4 + 212*t**3 + 176*t**2 - 48*t.\nAnswer: 4*t*(t + 2)**2*(14*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-2)\/(-3) - 312\/(-36). Let s be w\/(9\/(-2)) + (22 - 0). Suppose 75 - s = 5*k. Solve -6*v + 5*v = 2*q + k, -3*v + 3*q - 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165558966.29999917 + -165558967. Let z = -0.7 - c. Round z to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1181*i**3 + i**2 - 3*i + 2. Let u be w(1). Suppose 5*k - u = -131. Suppose 5*h - k = 3*h. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 586869*p + 586872 = 0. What is p?\nAnswer: -195624, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-6))\/((-33)\/(-9)). Suppose -b + 4 = -5*b - 4*r, b = 2*r + 11. Let w be b*1*10\/(-30). Is c < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/926184 and -19\/242572?\nAnswer: 10188024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2217 at most -2275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1216)*-1 + 5 + -4.\nAnswer: -8*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 70*x + 223. What is a(73)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 17*i**2 - 2*i - 15. Let u be t(-16). Let q = u - 116. What are the prime factors of q?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 47*q - 80. Determine w(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:37 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 5. Let d be s(-7). Let h = -1 - -3. Suppose -v + h*v + d*k = 0, -5*v - k = 0. Which is smaller: -2\/173 or v?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - d**2 + 11*d**3 - 13*d**3 + 0*d**2 - 2 in the form u*d**3 + b + j*d**2 + r*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 2*h + 132. Let f be t(0). Let y(l) = -l**2 + 4*l + 5. Let m be y(4). Suppose b + m*b - f = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 6) to base 13.\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210120 (base 3) in base 9?\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlnl when four letters picked without replacement from {l: 6, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.05702357 less than -1?\nAnswer: -498.05702357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7536.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -73. Let h(d) = d - 4. What is the lowest common multiple of f and h(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 20 = 2*c - 10*y, 2*c + 2*y = 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17001 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 536291 at most -5\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 527 - 161. Let c = 942 - a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 2*c + 8. Let t be j(0). Let d = 31 - 15. Calculate the greatest common divisor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -6. Let b = 25 + -25.5. What is the closest to -2\/5 in b, 4, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9038, 9039, 9040?\nAnswer: 9041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10)*(-6 - 0). Let b be m*(-1*3)\/(-3). Let f(t) = -3*t. What are the prime factors of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136, -134, -130, -124, -116, -106?\n\"Answer: x**2 - x - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -5*r**6\/2 + 13*r**2 - 3. Find the second derivative of f(u) wrt u.\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 9, 15 in descending order.\nAnswer: 15, 9, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 6.45. Let o = p + 0.4. Is -1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1) + 2 + 13 + -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 544*i**2 - 11*i - 3. Let l(j) = 1089*j**2 - 22*j - 7. Let v(a) = 2*l(a) - 5*s(a). Let q be v(-9). What is q rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-12)\/(-9))\/((-2)\/6). Let i(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 2*r + 2. Let v be i(x). Is 4 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -22*o - 15. Suppose 4*v - 13 = -o*k - 0*k, 4*v + 2 = -2*k. What is the third derivative of k*d**4 + 35*d**2 + 3 - 63*d**2 + d**3 - 3 wrt d?\nAnswer: 120*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 n when four letters picked without replacement from rrrnnrrnnnnrr?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 412207 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n + 3. Let q be d(4). Let b = q - 21. Let x be 86 - (3 - 2) - -3. Calculate the greatest common divisor of b and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4*r + 3*a - 1338, 1342 = 5*r + 2*a. Calculate the highest common factor of r and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 64*f**2 + 12.\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*b - 10441 + 3049 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -196*d**3 - 4*d**2 + 16*d + 33. Let y(a) = 107*a**3 + 2*a**2 - 9*a - 18. Let o(w) = -11*y(w) - 6*z(w). Give o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from unnlllulbukukuuuknbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84738.\nAnswer: 2, 3, 29, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 4*n - 9. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0124344 - 6.686.\nAnswer: -6.6984344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/3, -1253671, -104, 1 in ascending order.\nAnswer: -1253671, -104, 0.5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -0*z + 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*c**3 - 2*b*c*k + 19702*b*k - 477*c**3*k - k with respect to c.\nAnswer: 9*b*c**2 - 2*b*k - 1431*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 4 (c) -1\/3 (d) -397961\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j + 32 - 32 in the form t*j + o and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g + 3 - 2\/3*g**3 - g**2. Factor m(l).\nAnswer: -2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175740.7 millilitres to litres.\nAnswer: 175.7407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - p + 4*p - 69*p**2 + 5*p + 3*p to the form y*p + j*p**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/(-20))\/((-2)\/(-5)). Let q be (-3)\/(3 + (-36)\/8). Suppose -14 = -q*t + i*r, r - 13 = -t - 4*t. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 59, 144, 287, 494?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5 - 1. Let x(j) = -j**3 + 3*j**2 - 1. Let g be x(1). Let p be b - 0 - (g + -1). What is the highest common factor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.2, 489, 0.4.\nAnswer: -0.2, -0.08, 0.4, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -330*s + 325. Let x(o) = 66*o - 65. Let q(w) = 2*v(w) + 11*x(w). What is the derivative of q(t) wrt t?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 - q - 2. Let h be z(0). Which is the biggest value? (a) -12 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429384*s + 642386?\nAnswer: 429384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*u + 10 = 0, 5*u = -4*p + 3*u - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:50 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -36*y + 102. Let l(d) = -5*d - 1. Give 3*a(x) - 21*l(x).\nAnswer: -3*x + 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (180\/1170 - 126\/(-26))*(-4)\/10. Put -104, 2, q, 0, 5 in descending order.\nAnswer: 5, 2, 0, q, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12408 + 12408 + 2186*r**2 - 2103*r**2.\nAnswer: 83*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2289 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65270742 to the power of 1\/2, to the nearest integer?\nAnswer: 8079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qgqqqgqqggqgg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -49044, -49237, -49426, -49611, -49792, -49969, -50142?\n\"Answer: 2*c**2 - 199*c - 48847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.7, -6\/37, -20, 4.\nAnswer: -20, -18, -6\/37, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181733599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 5*t = 5. Let s = t - 3. Suppose 2*a = -0*x - s*x + 664, -2*x - 5*a + 673 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*69.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(448) + 2 + sqrt(448) + 2 + sqrt(448)))**2 - (sqrt(448) + 3 + ((sqrt(7) + 4)*5)**2).\nAnswer: 2864*sqrt(7) + 64190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13964 (base 11) to base 8\nAnswer: -46521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0893 + -0.149. Round c to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(10\/13)\/(b**0)**(2\/43) assuming b is positive.\nAnswer: b**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, p: 2}. Give prob of picking 2 q and 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686580866 to the power of 1\/2, to the nearest integer?\nAnswer: 51832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and -0.5?\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 168*j**3 + 3528*j**2 - 32928*j + 115248.\nAnswer: 3*(j - 14)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*t + 3*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -27\/20 (c) 0.07 (d) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637625, 1275263, 1912901, 2550539, 3188177?\nAnswer: 3825815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10296, -10475, -10774, -11193, -11732?\n\"Answer: -60*g**2 + g - 10237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 199*k - 1147 = -180*k + 2681 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (9 + 2 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(2\/9)*r)\/r*r)*r)**(7\/6)\/((r*r**(5\/4))\/(r**(-3\/11)\/r)))**(3\/2) assuming r is positive.\nAnswer: r**(-3107\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2164, -4342, -6542, -8776, -11056, -13394?\n\"Answer: -2*t**3 + t**2 - 2167*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.34 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-80)\/28)\/(26\/(-4823))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w - 7. Let i be c(4). Suppose 63 = p + 5*a, 0 = -p - a + i + 18. Calculate the greatest common factor of 95 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 4\/3, -2\/11967, -8 in decreasing order.\nAnswer: 4\/3, -2\/11967, -2\/5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177*l**5 + 11135*l**3 - 1072*l**2 - 2625*l?\nAnswer: -10620*l**2 + 66810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d + 6. Suppose 5*k - 506 = -6*k. Let p = k + -47. Let u(n) be the first derivative of n + 135. Calculate p*v(a) + 6*u(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 36. Let p(t) = t**3 + 14*t**2 + 14*t + 26. Let b be p(-13). Let r = b + 2. What is the lowest common multiple of r and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3522787144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1888046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 31735303*v**2 - 15867620*v**2 - 15867683*v**2.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.5, -67, 19847\/2.\nAnswer: -67, -0.5, 1\/4, 19847\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18630.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -474 (base 8) to base 10.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16449366 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -643 + 643.1. Which is the nearest to x? (a) -1\/3 (b) 0.1 (c) -5 (d) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 + 2*h**2 - 2*h + 1. Let w be x(1). Suppose -p = -w*p + 3. Let s = 325 + -326. What is the third smallest value in 3, s, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18089809.\nAnswer: 18089809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1026 - -18407\/18. Calculate the common denominator of n and -97\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 1, p: 4}. What is prob of picking 1 k, 1 p, and 1 m?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 38 - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1174 + 1173. What is the third biggest value in v, 3\/2, -0.134, 1?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a22 + 9?\nAnswer: 2a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 2 - 3 + 3)*(2*t - 5*t + t).\nAnswer: -10*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4447 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52005.37nm in micrometers?\nAnswer: 52.00537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 27503989.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -26*i + 11. Determine k(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6 - 7 - 12*n - 108*n**2 - 11 - 12*n + 118*n**2. Let f(h) = 2*h**2 - 5*h - 5. What is 14*f(j) - 3*k(j)?\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 9. Let m(i) = -i**2 + 4*i + 5. Suppose 0 = 3*y - 3*a - 16 - 2, -4*y = 4*a + 16. Let q = 4 + y. Let w be m(q). Give r(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/((-5632)\/22))\/(2\/(-40)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 9*g**2 + 10*g - 7. Let r be w(8). Suppose -y + 10 + r = 3*u, -115 = -5*y + 5*u. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 times -0.264417?\nAnswer: 25.648449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 10*b - 8*b**2 - 10*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) - (sqrt(2) + (-4 + sqrt(2) - sqrt(2)))) + -1 + (sqrt(2) - sqrt(12)\/sqrt(6)) + 3*sqrt(72)*1 + 0)**2.\nAnswer: 252*sqrt(2) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3424404033 (base 5) to base 3\nAnswer: -112101211211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19480884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n + 23*n**3 + 2*n**4 - 15*n - 2*n**5 + 0*n - 9*n**3 + 4*n**2 - 6*n**2 = 0?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 9562028?\nAnswer: 76496224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - (-6 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 1 = -2*v, 0 = 5*v + 5 - 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2)*j)\/j*j*j**(-5))\/(j**(-2)*j**(1\/4)))**17 assuming j is positive.\nAnswer: j**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.447 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1476*f - 1476*f + 4*f**2. Let n(i) = -2*i**2. Give d(n(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15288 = -350*t - 17738 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*x + 45 = 0, b - 16 = 5*x + 21. Suppose 3*p = 2*p - 2*s + 3, -3*s = -p + 8. What is the remainder when b is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/34)\/(-5*33\/(-110)))\/((-85)\/51).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2788*s**2 + 2776*s**2 + 2599*s**2 - 8164*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/27, -19\/5, 4?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 610 = 23*l. Is 61 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*a - 27 + 174 = 0, -93 = 3*j - 2*a. Let c(w) = -23*w - 27. Does 16 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**3*q**2 + 1665*m**3*q - m**3 + m**2*q**2 - 2889*m*q wrt m?\nAnswer: -18*q**2 + 9990*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + -1. Let l = h - -1.8. Let t = -0.24 - -0.2. What is the biggest value in -3, t, 2\/19, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**3 - 3*t**2 + 7*t - 1. Let s be o(-5). Let r = s + -544. Calculate the highest common factor of r and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 0, -56*p + 58*p + 5*g - 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -135*l**3 + 7*l**2 - 5*l + 3. Calculate g(1).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**4\/7 + 411678*j**3\/7 + 7072513092*j**2\/7 + 373729609920*j\/7 + 719172460800\/7 = 0. What is j?\nAnswer: -34280, -51, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 - 4*t + 3. Determine v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -5 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*b - 102 = 159*b + 6*x + 4*x, -b - 2*x = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s. Let v(q) = 14297*q. Determine v(b(j)).\nAnswer: 228752*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 8. Let v(o) = -o - 3. Let y(x) = 3*c(x) - 8*v(x). Let l be y(3). Solve 4*d - 2*d = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2535508128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 14 - 130. Is 8\/(-3)*162\/g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/((q**(-4\/5)\/q)\/q))**(-16\/7) assuming q is positive.\nAnswer: q**(-704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18573180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-45))\/(16\/(-20) + 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2981389 + -3?\nAnswer: 2981386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -117? (a) -5 (b) 41 (c) 0 (d) -192 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -0.5 (c) 2\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 + q - 8. Let n be j(-4). Let i = n + 112. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711843 is divided by 2137.\nAnswer: 2127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**4 - 32*k**3 + 385*k**2 - 1944*k + 3645. Let y(j) = j**2. Let i(t) = -4*w(t) + 28*y(t). Factor i(u).\nAnswer: -4*(u - 9)**3*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33336 divided by -8?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3249*q**3 - 2*q**2 - 2*q + 4. Let z be n(-2). Let a = -17933 - z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -261, -971, -2149, -3795, -5909?\n\"Answer: -234*b**2 - 8*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 67394336?\nAnswer: 67394336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**5\/150 + i**4\/30 + i**3\/5 + 27*i**2\/2 + 3*i. Let a(p) be the first derivative of h(p). Find d, given that a(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -7.2. Let x = t + -8. Let f = -0.4 + 1.4. Which is the nearest to 0.09? (a) f (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8175*z + 1041*z - 1695*z.\nAnswer: -8829*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/((-21)\/30) - 0. Suppose m = -3*b + 64. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62241*i + 62243*i + 8 + 33.\nAnswer: 2*i + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -20*t**2 + 9*t - 34. Let a(s) = 83*s**2 - 35*s + 129. Calculate -4*a(f) - 15*w(f).\nAnswer: -32*f**2 + 5*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*u - 379, 0 = -m - 4 - 1. Suppose 0 = 105*g - u*g - 10287. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 247483.9183?\nAnswer: -247483.4183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86370309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 231608.1 decades?\nAnswer: 23160.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 4*k**3 + 2*k**3 + 0*k**4 + k**4 + 34 - 30 to j*k + t*k**3 + y*k**4 + p + s*k**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 2 + (8 - (-11 + 28))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 12*t**2 + 122*t + 788. What is f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 43 + 69 + 8*a + 16*a - 137. Calculate the smallest common multiple of -2 + (3 - 0) + 10 and g(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*h*i**3*n - h*i**2*n - 2*i**3 - 5*i**2*n + 84*i*n wrt h?\nAnswer: -61*i**3*n - i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65155 - -3?\nAnswer: -65152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 5. Let q(a) = -1. Let f(p) = 6*p - 15. Let c(r) = 6*f(r) - 90*q(r). Determine o(c(n)).\nAnswer: 3888*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2133183 by 8567.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10ed + 2?\nAnswer: -10eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = q - 3*i, 4*i = -3*q + 2*i + 1. Suppose -2*o = q*o - 55. Suppose -3*z + o = 2. Sort -6, -4, z in descending order.\nAnswer: z, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:31 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*k - 412 = 1300 - 182 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 9. Let d be f(7). Let t = 13 - d. Solve -3*o + t = 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -343*w**5\/2 - 5635*w**4\/4 - 15911*w**3\/4 - 7911*w**2\/2 + 243*w + 1458 = 0?\nAnswer: -18\/7, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.16687.\nAnswer: 0.33374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5768524249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h = 109 - 637 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*p + 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n)*(-1 - 3 + 3)*(-546*n**4 - 243554*n**2 + 243554*n**2 + (-2*n**3 - 2 + 2)*(1 - 1 - 2*n) - 3 + 2*n**4 + 3).\nAnswer: -1080*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1142\nAnswer: -1141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -267 - 157. Let z = -421\/4 - u. Which is the third smallest value? (a) -1 (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 12 - 30. Let a(o) = -2*o**3 - 3*o**2. Let x(s) = 2*s**3 + 2*s**2 - s. What is n*a(j) + 3*x(j)?\nAnswer: 2*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(7\/5))\/((j\/(j**(-1\/13)\/j)*j)\/j))**(-42) assuming j is positive.\nAnswer: j**(-882\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**2 - 696*x + 23. Let n be b(-6). What is the highest common divisor of 50 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214763725 divided by -21107?\nAnswer: -10175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/9 + 6344*x**4\/9 + 5030786*x**3\/9 - 19028*x**2\/9 - 15079688*x\/9 + 10061584\/9 = 0.\nAnswer: -1586, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 162795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -2*n**7\/105 - 9*n**2\/2 - 6*n. Let h(j) be the first derivative of s(j). Let h(g) = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15494.3 * 0.01574.\nAnswer: -243.880282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1774 - 1769. What is the highest common factor of 2545 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -70 + 115 - (0 + 12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(18\/8)*(3 + -6). Let r(f) = -2*f**2 + 3*f. What is r(x)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 12:53 PM?\nAnswer: 519","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 14*f + 18. Let v be n(15). Let l = 1.2 + -6.2. Let t = l - -9. Which is the second smallest value? (a) v (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.48, -2\/11, -0.2 in increasing order.\nAnswer: -0.2, -2\/11, -1\/8, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -13. Suppose -77 = -k*j + 1. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -1) + (10 - 8) + 4 - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -124\/3 (b) 35 (c) -23 (d) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 484 - 483.7. Let k be (-1)\/(1\/(-2)) - -2. What is the closest to k in i, 3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2610 and 109\/1053918.\nAnswer: 5269590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24350 divided by 4870.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/8 of a week?\nAnswer: 483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 3. Let w(h) = -1. Let x(y) = -3*w(y) + z(y). Let u(r) be the first derivative of 2*r**2 + 196. Calculate u(x(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*m + 2*m + 0*m)*(-m + 3*m + 0*m) - 5*m**2 - 3*m**2 + 4*m**2)*(1 - 2 - 7)*(0 + 4 - 1).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from {u: 1, m: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 5*d - f, 3 = 4*d + f. Suppose -d*s = -s. What is the third biggest value in 4, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 177 - -29a0?\nAnswer: 2b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6064.89 - -6342.8697. Let f = -278 + b. What is f rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5397846.\nAnswer: 2, 3, 71, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 15*w - 48. Suppose 55*s - 2218 = -1283. Calculate t(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 2 n when four letters picked without replacement from fsqknfffssfffssqnszf?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -23.74. Let t = p + -0.14. Let s = 29 + -119\/4. Which is the biggest value? (a) t (b) s (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2092 - 3)*261\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1561, 5?\nAnswer: -1561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 3451?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4984 divided by 28?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*j + 2710 = 0, 3*m = -j - 580 + 2196. Does 28 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*q + 1180, 10*q - 5*q + 901 = -3*u. Let m = u - -442. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q. Let p be a(-4). Suppose -4*c - 2*d = -0*d - 20, d = -c + 6. Solve c - p = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -3 (b) -201 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 155. What is the smallest value in 2\/13, -1\/3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 19 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 9 + 44*r**2 - 2*r + 17*r**2 + 31*r**2.\nAnswer: 92*r**2 - 2*r + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*l - 52553, -l = -3*p + 14632 + 143006. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3439 divided by -5.\nAnswer: -3439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17278 is divided by 4309.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(19) - sqrt(1900)*1) + sqrt(19) + sqrt(1900)*2 + sqrt(1900) - sqrt(57)\/(-4*sqrt(27)))**2 + 1.\nAnswer: 1334419\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 15\/3 + 0. Let n be (-363)\/77 - 2\/z. Sort -3, 5, n.\nAnswer: n, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most -167\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 - -4165866?\nAnswer: 4165743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*b + 40, -4*k - 3 = -4*b - 43 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 11, g: 7}. Give prob of picking 1 a and 1 w.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 - -43.1. Let b = 43 - y. Let u = 5.2 + -4.8. What is the smallest value in u, 0.1, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1709 - -1709. Sort -2, 12, u, 9.\nAnswer: -2, u, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1226*w - 3701*w + 1222*w + 1253*w + 33484*w**3)*(2*w**2 + 0*w**2 - 3*w**2).\nAnswer: -33484*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g + 951. Give s(-83).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1765953 = -193*c - 816659 + 1604868. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1154378 and 19946578?\nAnswer: 857702854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4 + 50*m**5 - m**4 - 114*m + 199*m + 119*m wrt m?\nAnswer: 1000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v. Suppose 0 + 25 = -5*k, 0 = -3*m - 3*k + 51. Suppose 2*s - 4 = 0, -5*s + m = -4*d - 0*d. Sort -1, v, d in ascending order.\nAnswer: d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 12\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30992 in 0.5, 45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 605439049 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p - 572 = -16*p. Solve -4*n - 36 = -o - 3*o, o - p*n = 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from hvhhvvhhhvhyh?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 23*m - 15*m + 42*m - 5 as s*m + z and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578653 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -14283\/5, 31?\nAnswer: -14283\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + 0.5. Let x = 3.90000069 + d. What is x rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*0.05\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyffyyyy. Give prob of picking 2 y.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/3))**(-28\/3))**10\/(((t*t**(1\/2)\/t)\/(t**(-2\/11)\/t))\/(t**1)**(4\/3)) assuming t is positive.\nAnswer: t**(-12389\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -184 + 238 - 174 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -32, -73, -130, -203, -292, -397?\n\"Answer: -8*c**2 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1029, -5 in descending order.\nAnswer: 1029, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 104\/((-48)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*b - 24, 3*t - 3 = 6. Let y(j) = 12*j**3 - 16*j**3 + 2*j + 5*j**3 + 7*j**2 + b. Calculate y(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 19, -57 in descending order.\nAnswer: 19, -2, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - -13. Let o = 124 - i. Factor -6*v**4 + 62*v**3 + 80*v**o + 2*v**3 + 6*v**4 + 4*v**4 - 4*v**5.\nAnswer: -4*v**2*(v - 5)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7*o - 6 = 0. Let j(z) = -z**3 - 7*z**2 - 7*z - 6. Calculate j(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + 4*v - v**3 - v**3 - 72 + 136 in the form z*v**2 + p*v**3 + x + l*v and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*n + 30*n - 77*n - 1 as k + c*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*t**2 + 98*t**2 - 76*t**2 - 268*t**6 + 12 - 11 wrt t?\nAnswer: -32160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(6\/(-7)))\/(1967\/(-2529)). Let i be (-274)\/(-10) + 12\/(-30). Solve 5*n + i = -3*z, -o*n + 1 - 10 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.215000029 + -0.215. What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 14 + 0)*(-4747 + 75*m + 4747) to the form r + b*m and give b.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1499, 1501, 1499, 1493, 1483?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18048 - 18048 - 469*r**2.\nAnswer: -469*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g. Let h(a) = -8*a**2 - 2*a - 4. Let s(p) = 2*p**2 + p + 2. Let o(d) = -3*h(d) - 6*s(d). Calculate o(k(r)).\nAnswer: 3468*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1938, 7410, 16482, 29154, 45426?\nAnswer: 65298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14739.1118 rounded to the nearest integer?\nAnswer: -14739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(136)\/sqrt(4))\/sqrt(2) + 1 + -5)*-4)**2.\nAnswer: -128*sqrt(17) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1183)\/7*(2 - 4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2.922015.\nAnswer: 0.584403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 7*f - 4*f. Suppose -3*q + 3 + f = 0. What is the remainder when q is divided by (-10)\/(0\/(-1) - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-6)*6*(-6)\/16. Calculate the highest common divisor of 96 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, g: 1, c: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 229*m = -775 + 6453 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 23 - q**3 + 65 - 22.\nAnswer: -q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:19 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*x + 797, x + 0 = 1. Does 46 divide (-9)\/18 - m\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 11*k + 9*k**2 - 25 + 50*k**2 + 24 to v*k**2 + r*k + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -18. Let r(f) = -7*f - 22. Let x be r(p). Suppose -x - 17 = -w. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 68 + 483*s**2 - 36.\nAnswer: 483*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11922 - 24302 + 4078 = 461*m + 3812 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 + 55*f - 35*f**2 + 5*f**2 + 10*f**2 + 7*f**2. Let b be t(6). Let u(o) = -5 - o**3 + 8*o + 5*o**2 - 2 + 0*o**2. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16313 = -764*m - 26471 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8291584 is divided by 124.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01509166 to 4 dps.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 1, k: 1, h: 3}. What is prob of picking 1 m and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 587494800 and 600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -123746 divided by -1\nAnswer: 123746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -71, 7, -370 in increasing order.\nAnswer: -370, -71, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 5*l**2 + 0 + 2)*(23*l**2 + 33*l**2 + 5*l**2).\nAnswer: 122*l**4 + 122*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213223331 (base 4) to base 12.\nAnswer: -7a0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + 77. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -956\/5. Suppose 4*g + 10 = 6. Is d at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1245275382.3 to the nearest one hundred thousand.\nAnswer: 1245300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3384)\/(-135) + 2\/(-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3 - 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 17. Let g(x) = -18*x. Determine o(g(u)).\nAnswer: 324*u**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 9 + 5 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000906532359 to seven dps.\nAnswer: 0.0000907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 4*n**2 + 16*n - 17. Give z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.39 * 3.\nAnswer: -7.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5077979mm to kilometers.\nAnswer: 0.0000005077979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*t - 8304 = 47*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*x - 9 = 5*x, n - 4*x - 3 = 0. Suppose -c - 3*y + 51 = 4*c, 3*y + n = c. What is the remainder when 33 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99904714333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -254 + -4?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8768 + 192809\/22. Find the common denominator of q and 59\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*p - 5, 5*p = -2*r - 0 + 15. Suppose p*h = c + 1455, h + 2*c - 166 - 136 = 0. Calculate the highest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 984*g**6 - 58*g**2 + 26.\nAnswer: 118080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/5, 7\/6849?\nAnswer: 7\/6849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 23*w**2 + 84*w + 161. Suppose -2*m + 17 = 3. What is the remainder when m is divided by s(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k - 2. Let m(n) = 66*n + 645. Calculate 4*d(h) - m(h).\nAnswer: -2*h - 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = -5*i - i + 108. Solve -4*c + 29 = -i*t - 1, 4*t + 21 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 127 - 2*f - 164.\nAnswer: -2*f - 295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(2\/17)*v))\/(v**5*v)*((v*v*v**3)\/v)**(4\/7))**21 assuming v is positive.\nAnswer: v**(-1641\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252*d - 6 + 6 + 425*d)*(d - 6*d - 7*d) + 2*d**2 + 2*d**2 + 0*d**2.\nAnswer: -2072*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15776 + 441801\/28. What is the common denominator of h and 95\/308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10) + 1*sqrt(1440) - sqrt(10))*3)**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -571, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 + w**2 + w. Suppose 128*k - 1 = 129*k. What is o(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 plus 2840636?\nAnswer: 2843161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -82408*r + 5*r**2 - 1 - 3*r**3 + 2*r**3 + 82408*r + 3*r**2 as i + j*r**2 + z*r + m*r**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 - 7*s + 7. Let g(v) = -2*v**2 + 3*v - 3. Let u be 2\/3 + 34\/(-6). Let q = 2 + u. Give q*k(l) - 7*g(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 16*n**2 + 61*n + 51. What are the prime factors of v(-19)?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3228\/(-135) + 24)*(-12)\/16\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:06 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4) + (-45 - 0) - (-83 - -83).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 1152?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 2*x + 29. Let r be n(6). Suppose 57 = 3*k - 2*t, r = -k - t + 19. Suppose 0 = -k*a + 12*a + 60. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98939155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 95272 + 0.149\nAnswer: 95272.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920170 (base 12) in base 3?\nAnswer: 210011000012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 12, 1\/142, 22.\nAnswer: 1\/142, 10, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/117)\/((-2)\/26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.4, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.1, -0.14, 18\/17, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*s + 9. Let q = 0 - s. Suppose -4*o + 3*v - 16 = 8*v, 0 = -4*o + v + 8. Put 0, o, q in increasing order.\nAnswer: 0, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5162 times -0.149?\nAnswer: -1.1199138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*q - 560, 4*t - 700 = -8*q + 3*q. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 7. Let c be a(-8). Let p be (0 + 3\/c)\/(-1). Let s(k) = -k - 4. Let y be s(-4). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404214 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105910.\nAnswer: 2, 5, 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4 + 5. Let p = -26.67 - -1.17. Let f = p + 25. Which is the nearest to -1\/3? (a) -2\/9 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*a - 2*n, -5*a - 5*n = -3*a. Suppose -a*u + 213 = -122. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/(2\/((-448)\/160)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c2a5 (base 14) in base 10?\nAnswer: 33465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1008) - (1*2*sqrt(1008) + sqrt(1008))) + (sqrt(1008) + -1)*4)**2*5.\nAnswer: -40480 + 1920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -3 + 0 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 - 12020*m**3 - 12024*m**2 = 0 for m.\nAnswer: -1, 0, 3006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 3281120.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Let p be (-9)\/(-6) - 2\/s. What is the second derivative of -w**5 - 1 - 2*w + p wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516657 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -7*z + 58. Let x be (-7)\/(42\/(-9))*80\/z. Which is the second smallest value? (a) x (b) 0.5 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**3\/j)*j*j*(j**1\/j)\/j*(j*j*j\/(j*j*(j*j*j**(-2))\/j))\/j**(2\/5)*((j**(-8)*j)\/(j\/(j**(-2\/23)*j)))**32 assuming j is positive.\nAnswer: j**(-25896\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.282 in 1\/8, 2, -1\/6, 0.2, -38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/14516 and (-26220)\/(-8360) + -2 + -1.\nAnswer: 159676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 13 = -s + 5*h, -5*s - h + 38 = 0. Solve 0 = 3*w - 2 - s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20193000 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10917534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*t + 5*t = -375, -174 = -2*u - 2*t. What is the highest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = -20. Suppose 49*d - 29*d - 1200 = 0. Calculate the highest common divisor of d and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:51 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:45 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o - 2. Let j be m(-5). Let l be ((-3)\/(-9))\/(2\/30). Suppose l*q - j = 12. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 57 = 8*z. Suppose -z*j + 7*j - 6 = 0. Which is the second biggest value? (a) 4 (b) j (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28519155 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {e: 3, h: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let b(q) be the first derivative of -160*q**2 + 2*q + 31. Give g(b(t)).\nAnswer: 204800*t**2 - 2560*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10003310322 (base 4) to base 10\nAnswer: -1064250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**8\/3360 - v**6\/120 + v**5\/30 + v**4\/8 + 3*v**2. Let w(j) be the second derivative of y(j). Solve w(g) = 0 for g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2 + -1)\/(1\/(-56)). Calculate the greatest common factor of p and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)\/(n**(4\/3)\/n))**(9\/8) assuming n is positive.\nAnswer: n**(-21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4848 = -42*c + 47*c, 0 = 2*c - 6. What is the common denominator of 59\/36 and -1 + m\/378 + -6?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**4 + 2. Let m = -62 + 42. Let t = m + 18. Let n(s) = 7*s**4 - s + 3. Let k(j) = t*n(j) + 3*g(j). Find the second derivative of k(o) wrt o.\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 79. Suppose a = -p + 4, -k*p - 3*a = -0*p - 16. Suppose 3*y - 3*y**3 + 5*y**p + y**2 - 6 + y**2 - y**2 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:00 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 869*m**3 - 2*m**2 + 16*m + 66. Let k(g) = 1739*g**3 - 5*g**2 + 40*g + 131. Let h(d) = 2*k(d) - 5*l(d). What is the first derivative of h(p) wrt p?\nAnswer: -2601*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2\/45, -3\/4 in descending order.\nAnswer: -2\/45, -3\/4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = -104 - 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5477 + 3781\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 83752475 divided by -1?\nAnswer: -83752475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5104 and 6512?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 526 = -5*v. Let q = 52 + -40. Calculate the highest common factor of q and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from mmzzmmmummmumm?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1320 - 259. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 3*m - 18. Suppose -m*w + 80 - 26 = 0. What is the least common multiple of 27 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61315560, 61315572, 61315586, 61315602, 61315620?\nAnswer: 61315640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 726864349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 11*z + 2*k - 33841 = 0, 2*z = -4*k + 13530. Let v = z - 33653\/5. Factor 48\/5*c - 3\/5*c**2 - v.\nAnswer: -3*(c - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let d(t) = -26*t + 95. What is m(d(g))?\nAnswer: 676*g**2 - 4940*g + 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4\/5, 0.5, -119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 304, 309, 324, 355, 408, 489?\n\"Answer: f**3 - f**2 + f + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from queuuuuu. What is prob of picking 1 e, 2 q, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 2043416950 to the power of 1\/3, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*g - 5*g - 1, w = 4*g + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37147627 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*x - 263*x + 145*x - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 56. What is the tens digit of (774\/(-12) + v)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10338 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y**2 + y - 2*y**3 - 5 - 7*y + y**3. Let a be b(7). Find the common denominator of (-35)\/2*a\/(-20) and -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4. Let f(r) = 1. Let i(v) = -15*f(v) + 3*o(v). Let b(s) be the first derivative of -s**2\/2 + s + 10. Calculate -3*b(t) - i(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 at most as big as 2367\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 281 * 7129\nAnswer: 2003249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2922 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -357 - -601. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))\/(-2*(sqrt(36) - sqrt(4) - sqrt(4)) - sqrt(4)) - ((sqrt(3) - (sqrt(126)\/sqrt(6))\/sqrt(7)) + (2*sqrt(30))\/sqrt(10)))**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1501472 divided by -107248\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9839 - 9841. What is the closest to -1 in -1\/4, 4, h, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021000 rounded to the nearest one hundred thousand?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/21)\/(3\/(9\/4)). Let z = 0.1 + -0.6. What is the nearest to -2 in -0.4, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**4*p**2 - 72093*l**3*p**2 - 23699*l*p**2 + 6*p wrt l.\nAnswer: 48*l**2*p**2 - 432558*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/8)\/(1\/16). Let g = 34 + f. Suppose g = u - 11. What is the remainder when 61 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1467, -5911, -13325, -23703, -37039, -53327, -72561, -94735?\n\"Answer: h**3 - 1491*h**2 + 22*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 577*y**4 + 33*y**3 - y**2 + 3*y + 2437572.\nAnswer: 2308*y**3 + 99*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*b = 3, 2997*b = -39*j + 2995*b + 655 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-1*sqrt(288) - 5*(sqrt(288) - 2*sqrt(288)))\/(1*sqrt(441)*-5) + 1.\nAnswer: 1 + 48*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8973442 to the power of 1\/6, 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 44456 is divided by 14815?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4140654 - 4156?\nAnswer: 4133465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - -6) - 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 138898, -3.\nAnswer: -3, 0, 138898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/699840 and -7\/17496?\nAnswer: 699840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 16 = -16*g - 3*a, 0 = 4*g + 3*a + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**8\/56 - 7*s**4\/12 - 11*s**2\/2 + 6*s. What is the third derivative of m(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 6, y: 8, t: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -7357167140108.\nAnswer: 7357167140108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**3 + 4. Let j(y) = 11*y**3 - 3. Suppose 3*n = 0, -15*z + 10*z = -5*n + 25. Determine z*w(l) - 6*j(l).\nAnswer: -6*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqc when three letters picked without replacement from {l: 1, q: 4, c: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1870302 and 10331192?\nAnswer: 216955032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 8*g**2 - 2*g + 8. Suppose -9*v = -4 - 131. Suppose -3*i - v = -0. What is the tens digit of y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14884 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 - 393. Let o(f) = 2*f. Determine l(o(z)).\nAnswer: 36*z**2 - 393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 62 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 9. Let m(u) = -209*u - 8. What are the prime factors of m(k)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 21 (c) 14 (d) 0.5 (e) -85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 13*z - 13. Give h(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -7 (b) -2\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1\/2))*o)**(-36)\/((o\/(o**4\/o))\/(o*(o\/o**(-1))\/o*o))*(o*o**(2\/7))**(1\/25)*(o*(o**(2\/9)*o*o)\/o)**36 assuming o is positive.\nAnswer: o**(5434\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-1)\/((-42)\/15 - -3). Let c = 24 - 19. Suppose c*f + 3*g = -210 + 784, -w*f + 2*g = -584. Calculate the smallest common multiple of 22 and f.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 159448.\nAnswer: 5102336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/3 + 90. Let n(j) = 15*j**2. Calculate o(n(t)).\nAnswer: -225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -268, -300, -344, -406, -492, -608, -760, -954?\n\"Answer: -h**3 - 25*h - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/3 - (1 - 13)) + 4. Solve -j - d*j - 75 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/4350 and 137\/1300600.\nAnswer: 113152200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 6) in base 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a31 - 5?\nAnswer: -a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 3, p: 6, n: 3, o: 6}. Give prob of picking 2 p.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253594288*o**2*p + 496494*o**2 - 94 with respect to p.\nAnswer: -253594288*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019808999 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-22)*6\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 18*w**3 + 32*w**3 - 8*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*j = 273*j - 336. Suppose -y + 4*i = -j, -19*y - 263 = -22*y + i. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {d: 3, s: 7, r: 7, k: 2}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62944961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1071 + -1067. Solve 5*i - 3*i - 4 = 4*o, -w*i - 4*o = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15336809.09 * 2\nAnswer: -30673618.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*672.6512\nAnswer: -2690.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1340, 3721, 10298, 23165, 44416?\nAnswer: 76145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) 0.48 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 58. Let w = o - 29. Let l = 0.5 + 0. What is the third smallest value in w, l, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c + 4. Suppose -2*t + 15 = 5*f - 2*f, 4*f = 20. Let b be h(t). Let l be (b + 0)*5\/70. What is the smallest value in -0.1, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 11 + 7. Let c(p) = p**2 + 4*p - 7. Let s be c(j). Solve 4*l - r - 6 = 6*l, 0 = -5*l + s*r - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 28, 55, 104, 181?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177289798 to the nearest integer?\nAnswer: 13315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 48, -2 in decreasing order.\nAnswer: 48, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 19 = 3*h, 5*r - 16 = -5*h + 3*h. Suppose 0 = -10*m + 5*m + r*d + 2, -5 = 4*m + 5*d. Let y(u) = -u**2 - 1. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = 4*d. Suppose -d = -2*l - 2. Solve l*z + 0 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*s - 304*s - 4051 - 133 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6850 divided by -6.\nAnswer: 3425\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from vvsvwvw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(4\/(-8))\/(-1). Suppose -5*y - 4*i + 26 = 0, -y - 2*i + 10 = -c*i. Solve 4*m = x + y*m - 3, -x + m = -4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3422723 divided by 5\nAnswer: 3422723\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.03, 0.6, -0.2, -3 in increasing order.\nAnswer: -3, -1.03, -0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyniyeyieeiii. What is prob of sequence yi?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 + 2*u**2 - 1. Let n be o(-1). Let d be ((-18)\/n)\/(7 - (-175)\/(-28)). Solve -d*i + 16 = -2*i + w, -20 = -5*i - 4*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 5. Let j be l(-5). Let p(s) = -s**3 - 7*s**2 - 4*s + 18. Let d be p(-6). Solve 5*g + 1 + 14 = -2*m, -2*g = j*m + d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) + 1 + sqrt(19))**2 + 1.\nAnswer: 8*sqrt(19) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-13 - -18)*(-4)\/(-50)). Solve 3*h = 5*j - 10*j - 5, -x*h + 13 = 3*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 22*k**3\/3 + k + 3. Let o = -170 + 282. Calculate the remainder when o is divided by t(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 - 4*j + 6. Let q = -6 + 9. Suppose i - q = 13. What is the remainder when i is divided by w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 945436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151 in -5, -7\/4, -6, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)\/a**(2\/7))**(4\/9) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21, 2, -3 in descending order.\nAnswer: 21, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let m be 2 - (2 - o) - -1. Let g(f) = f**2 - f. Let p(h) = -h**2 + h. Let i(z) = m*p(z) + g(z). Find the second derivative of i(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66a64 (base 12) to base 11\nAnswer: -9344a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2. Let a(j) = -6485*j**2. Determine a(g(z)).\nAnswer: -525285*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47595, 95195, 142795?\n\"Answer: 47600*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*a - 3)*(0*a - 3*a + a)*(97*a**2 + 267 - 267)*(1 + 0 + 1).\nAnswer: -776*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 101 - 13. Which is bigger: -24 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48156 - 32092. Is k a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4617800 and 101\/671680.\nAnswer: 36942400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in seconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3865*s**2. Let w(h) = -h. What is u(w(y))?\nAnswer: 3865*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 3. Let n(d) = 1. Let b(i) = 2*n(i) - s(i). Let g be b(-1). What is the third derivative of -2*l**3 + g*l**3 - 2*l**2 + 3*l**3 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 317*i**2 + 5*i + 5. Let r(z) = -1267*z**2 - 21*z - 21. Give -21*o(v) - 5*r(v).\nAnswer: -322*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260940 and 8820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462725 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 79, 159, 239, 319, 399?\n\"Answer: 80*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -34. Let r be 3 + (-4 - -8) + -5. Suppose o + 5*v = -4*o + 60, -o = r*v - c. What is the lowest common multiple of o and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(3432\/(-36))*1?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -591482 * 143\nAnswer: -84581926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 45108701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 628135593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1681\nAnswer: 8405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 212*s = -3193 + 313 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose -5*s + 48 + 185 = -h*r, -5*r + 179 = 4*s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**2 + 2. Let u(t) be the third derivative of 7*t**4\/12 + 4520*t**2. Determine u(p(b)).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {y: 3, v: 1, a: 1, i: 3, f: 5, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -12\/37, -26, 1\/255, 5?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -303, -606, -909, -1212, -1515, -1818?\n\"Answer: -303*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264966 and 11869118?\nAnswer: 6794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 149950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4970786 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssswwsnnsnslssl. Give prob of sequence swnl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*x - 3596 = 57*x + 8819 - 1775 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7*w. Let t(u) = -u**2 - u + 45. What is the units digit of t(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 4, 3\/8, 1, -275, -1199?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = -m - 5, 0 = 3*j - 4*m - 6 - 14 - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -7*x - 6. Suppose 2*d - 6 = -4*v + 2, v = 2*d - x. Suppose d*f - 50 = -0*f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90060 = 1576*v - 1606*v. What is the greatest common factor of 76 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(112)\/sqrt(4))\/sqrt(4) + sqrt(7)) + -2 + -1 + -5*sqrt(112).\nAnswer: -30*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -51. Put -4, 6, 0, p in decreasing order.\nAnswer: 6, p, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 38983 (b) -7 (c) 0.03 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -74*m**3 - m**2 - 2*m - 2. Let t be i(2). Let b = 627 + t. Solve p = 6*p + b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3)\/((-4)\/(-6)). What is the biggest value in 5, 9, x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k**(2\/11)*k)\/k)\/k*k*k))**(4\/11)\/(k**(-6))**(2\/25) assuming k is positive.\nAnswer: k**(1252\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 4*q + 21 = 0, -24*q + 26*q = 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 5*i - 2*i)*(-9*i + 3*i - 5*i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -56. Let l be (2 - (-2 - a\/(-1)))*8. Factor -b**5 - l*b**3 - 5*b**2 + b**4 - 6*b**4 + b**2.\nAnswer: -b**2*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/5*20\/6. Let z(c) = -1 + 1 + 2*c - c + a. Determine z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**7\/840 - r**6\/60 + r**5\/10 - 23*r**4\/24 - 15*r**2. Let b(v) be the second derivative of i(v). Factor b(f).\nAnswer: 3*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/4115 and -13\/7407?\nAnswer: 37035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002634167 to 7 dps.\nAnswer: 0.0002634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -399? (a) 3 (b) 2 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 494*x - 91. Let d(z) = -11*z + 2. Determine -91*d(r) - 2*n(r).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224.308 - -7.308. Which is the fourth smallest value? (a) -0.1 (b) n (c) -3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 27*m + 246 - 324 = 0. Which is the second smallest value? (a) -0.1 (b) m (c) 0.4 (d) -530\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3. Let u(y) = -3*y**6 - 2*y**5 + 367*y**4 - 4*y**3 - 1481*y**2. Let b(w) = -u(w) - 4*x(w). Find the third derivative of b(r) wrt r.\nAnswer: 360*r**3 + 120*r**2 - 8808*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 19. Let y be g(6). Let r(n) = -y + 0 - 36*n + 2 + 37*n. Let c(z) = 24*z + 21. Calculate 2*c(a) - 42*r(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*4 - sqrt(6))\/(sqrt(22)\/(-4*sqrt(11))) + (-4*(sqrt(30) + (sqrt(30) - (sqrt(30) - (sqrt(1080) + sqrt(30))))))\/(sqrt(160)*4 + sqrt(160)).\nAnswer: -628*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 1 - (-3335)\/(-3 + 8). Let o = -662 + t. Calculate the lowest common multiple of o and 356.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1104 - -4455\/4. Suppose -5*k = -k + 22864. Let h = k + 57091\/10. Find the common denominator of q and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 10 - 6. Solve 2*b = 5*b + d*n + 28, b - 12 = 4*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -439 by -149.\nAnswer: 439\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 4, k: 9, n: 3}. Give prob of sequence kskk.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -25 + 7 + 12 + 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1127.1172699557 and 2.\nAnswer: -1125.1172699557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3337080?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(17\/5))\/(u\/u**(-13)))\/(((u**29\/u)\/u)\/((u\/((u**(-10\/13)\/u)\/u))\/u)))**(4\/13) assuming u is positive.\nAnswer: u**(-8536\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*n - 141*n = 3*d + 33, 4*n = -4*d - 4 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -91*f + 505. What is the smallest common multiple of t(3) and 2?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 2, f: 1, s: 2, b: 2, d: 6, c: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 15, y: 4}. What is prob of picking 2 y and 1 w?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -x + 100, -x = d - 131 - 23. Solve -15*h - x + 175 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371931329.0000017 - -371931308. Let o = l - -21. Round o to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 + 13*y - 10. Let u(n) = -6*n**2 + 12*n - 11. Let x(j) = 2*p(j) - 3*u(j). What are the prime factors of x(5)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3774 and 647394?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5126.507 millilitres to litres.\nAnswer: 5.126507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-6))**50\/((i*i**(3\/13))\/(i*i*i**4*i)) assuming i is positive.\nAnswer: i**(4625\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -140.610991 - -8\nAnswer: -132.610991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 16) to base 10\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.6 + -45. Let q = b + -3.724. What is q rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(-3\/2))\/h**(-3))\/(h\/(h*h*h**(-1))*h*h**(3\/5)))**(-38))**15 assuming h is positive.\nAnswer: h**(-513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12416 and 2716?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 25, 1107 in increasing order.\nAnswer: 4, 10, 25, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1440\/(7*32\/112). What is the highest common divisor of 558 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5074\/86*1*1\/(-1). Let o = s + 280. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 3. Let g(z) = -z**2 + 3*z + 2. Let l be g(3). Suppose 5*x - 4*k = -2, 4*x + 4 + 0 = 4*k. What is the remainder when x is divided by v(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1922\/107 + -534201\/29960. Calculate the common denominator of t and -17\/130.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11101682*k**3 - 2476139*k**2.\nAnswer: 66610092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 1.97. Let t = -0.04 + -6.96. Let h = t - n. Which is the biggest value? (a) -2\/3 (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 4*f - 5. Let g be r(-5). Suppose 0 = -3*m + 2*q + 53 + 9, -57 = -3*m - 3*q. Suppose -5*d + g = -m. Solve 4 = -d*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*c + 23, -20 = 3*c - 7*c. Let h(w) = w**3 - 5*w**2 - 7*w + 9. Let v be h(6). Suppose v = d + 1. Calculate the remainder when s is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*q + 1008, 1512 = 21*t - 18*t - 2*q. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/54, 0.8, -5, -2, -2\/5.\nAnswer: -5, -2, -2\/5, 1\/54, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d*d**(-17\/2)\/d)\/(d**20\/(d\/(d*d\/(d**10*d)))) assuming d is positive.\nAnswer: d**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13*l + 8. Give r(6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 - 2592*a**2 + 5156*a + 7752 = 0. Calculate a.\nAnswer: -1, 3, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**4 - 2*l**4 - 16*l**4 + (-l**2 - 3*l**2 + 6*l**2)*(-5*l**2 + 0*l**2 + 3*l**2) + 3 - 3 + 2*l**4 as h*l + v*l**3 + d*l**4 + j*l**2 + o and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 9*s**4 - 4*s**4 + (3*s**4 - s**4 - s**4)*(2 - 1 - 2) + (29*s - 16*s - 2 + 3)*(1 - 1 - 2)*(0*s + 0*s + 2*s**3).\nAnswer: -49*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(((sqrt(44)\/sqrt(4))**2*-6 - (sqrt(99) + -5)**2) + (1 + sqrt(176) + sqrt(176) + sqrt(176))**2 + 0).\nAnswer: -8370 - 324*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -26*z - 11. Give i(5).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (35 - 3)*(-1)\/(-2). Let n = -31.771 + 31.871. Which is the nearest to n? (a) -0.1 (b) s (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*2 + sqrt(315))\/sqrt(5) - (sqrt(63) + sqrt(63)*-2)*-2)\/((sqrt(225)*-2*4 - sqrt(225) - sqrt(225))*1) + -2.\nAnswer: -2 - sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let f be r\/12 - (-1)\/(-4). Let g = 483 - 485. Which is the closest to f? (a) g (b) 4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 7, 31897, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-9)\/(6\/(-6)). Let v be ((4\/w)\/(-1))\/(2\/10). Solve k - 3*a - v = 0, -k + a + 2 = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - w + 1. Let j(h) = 4*h**2 - 3*h + 3. Let z(c) = -2*j(c) + 5*v(c). Let m be z(1). Let d = -8 + 11. Is m <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351*g + 890*g - 3131*g + 889*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 387197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:00 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -43?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504516 less than 0.3?\nAnswer: -5504515.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 274 = -32. Suppose -41 = -w*t + 14. Solve t = p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1422 + 406 = 4*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 307720 and 1318800.\nAnswer: 9231600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32123002 - 3133?\nAnswer: -32132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -40. Let r = 0.7 + -0.4. Let c be 5*(18\/(-5) + 3). What is the closest to -1 in j, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -10, -i - 1 = -3*v. Which is greater: v or 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 1 - 4 + 19*s.\nAnswer: -5*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {w: 1, m: 1, p: 1, t: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/5)*r)\/r**4)\/(r**(1\/4))**(16\/7))**30 assuming r is positive.\nAnswer: r**(-624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2378 - 1207. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3391614613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 9 - (-317 + 319).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8599*r - 5. Suppose -3*b + 15 = -6*b. Let q be i(b). What is q rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976637437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3 + 0*o**5 + 0*o**2 + 0*o - 3 + 1\/3*o**6 + 0*o**4. What is the third derivative of x(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289.909 + 290. Let c = -8.091 + u. What is the second smallest value in c, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 77*l + 1184. Calculate a(53).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99211682?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 + (-11 - -6) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8978087 = 5*w - 4*v, 3*w - 4809092 - 577725 = -2*v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**4 + r**2 - r**2)*(-179 + 971 + 966) in the form k*r + o*r**3 + g + f*r**4 + w*r**2 and give f.\nAnswer: 3516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let i be o\/(3\/12*4). Suppose i = 3*r + 4 - 22. Solve 3*b = -4*s - 11, 3*s + 6*b = 3*b - r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10834547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023606 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1534522 and 44387.\nAnswer: 10741654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 23. Let t be u(6). Which is the second smallest value? (a) -1 (b) t (c) -67 (d) 1\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.02. Which is the closest to y? (a) -0.4 (b) -1\/10 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 143280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 326 - 338. Suppose 0 = 9*k - m*k + 4*j - 58, 28 = 3*k - j. What is the remainder when 54 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*k*x**5 + 39*k*x**4 - 5*k*x**2 - 290*k*x - x**3 - 3*x**2 wrt x?\nAnswer: -7380*k*x**2 + 936*k*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768988 is divided by 93?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/63736 and -133\/24.\nAnswer: 191208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*c*w*y**3 + 45*c*w*y + c*y**3 + 19*w*y**3 - 4*y**3 + 2*y**2 - 407*y wrt y.\nAnswer: 282*c*w + 6*c + 114*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1889 + 7138 = 3*k + 4*x, 3504 = 2*k - 2*x. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 632280978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1288, 1 in decreasing order.\nAnswer: 3, 1, -1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (5\/15)\/((4\/21)\/4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.124 + 0.124. Which is greater: 32 or m?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597289.5 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(2\/9 + 170\/(-36)). Calculate the highest common divisor of g and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7981996 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 2. Let t(l) = -1491 + 4479 - l**2 - 1499 - 1489. Calculate t(i(q)).\nAnswer: -36*q**4 + 24*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 - (-2 - -5)). Suppose q = 2*v - 1 - 5. Suppose -102 = v*h - 6*h. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -235.\nAnswer: 16\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 243\/21 - (-6)\/14. Suppose 0*p + 5*p - 3*v - 902 = 0, -3*p - 2*v + 526 = 0. Factor 4*y**5 + 4*y**4 - p*y - 24*y**3 + 134*y + 9*y**2 - d - 65*y**2.\nAnswer: 4*(y - 3)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1210?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 1061\nAnswer: -116.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -486252 and 0.17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 greater than or equal to -682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/4 + 295170*r**2 - 29041776300*r = 0. What is r?\nAnswer: 0, 196780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -112*q**3 - 35*q**2 + 67*q - 7. Let i(m) = -56*m**3 - 19*m**2 + 36*m - 4. Determine -11*i(l) + 6*t(l).\nAnswer: -56*l**3 - l**2 + 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009353 divided by 13?\nAnswer: -1009353\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 74, 283, 490, 695, 898, 1099, 1298?\n\"Answer: -f**2 + 212*f - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -138. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 50*o. Let w(l) = -16 + 13 - 3*l**2 + 2*l**2 + 3. Calculate j(w(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {b: 1, z: 3, a: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 - 8\/21*y**4 + 0 + 2\/21*y**5 + 8\/21*y**3 + 0*y.\nAnswer: 2*y**3*(y - 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14904, -1\/63, 0?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*c = 2*z - 18, 2*z + c = 15. Solve 5*f + 19 = -z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*u - 0*z + 32, -2*u = 5*z - 40. Let j be (-1 - (8 - 9))\/(-3). Suppose j = -u*p + 123 + 117. Calculate the lowest common multiple of p and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(192)\/sqrt(6) + (sqrt(450))**2)*-2.\nAnswer: -898 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.960176 - 17.85. Let j = 0.11 - u. Round j to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -622, -616, -608, -598, -586?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33151153 is divided by 1199.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from qqqwwqqq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 289 - 377 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -27 - (4676 + -4660)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 283. Suppose 4*h = 2*o - 204, 4*o - 2*o + 2*h = s. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 6. Find the second derivative of -2*y**c + 0 + 0 - 2*y + 3*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.19. Let n = s - -1.89. Let l = 287 + -291. What is the nearest to l in n, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h + 0*h + 1 - 2*h**2 + h**2. Let r be q(10). Suppose 4 = s + 2. Solve s = -k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5*2*10\/32. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*f - 5*l, -8*l - 397 + 404 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 11*t. Let g be x(9). Suppose -7*n - v + 630 = -2*n, -5*n = -3*v - g. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 24 = -5*g, 5*g = 2*d + 2*g + 4. Suppose -152 = -d*p - 2*z, -93*p + 98*p - 216 = 4*z. What is the remainder when 191 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.04589 seconds in microseconds?\nAnswer: 66045890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*j + 9 - 48, -2*r + 4*j - 20 = 0. Let v(a) = a**3 - 9*a**2 - a + 8. Let z be v(9). Put z, 5, r in descending order.\nAnswer: 5, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273 divided by -12.\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1505.3 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 times -147.934?\nAnswer: -27219.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {p: 9, n: 6, b: 2}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 11. Let c be n(-6). Let b(h) = -30*h - 9. Suppose -3*t - 20 = -2. Let d be b(t). What is the highest common divisor of d and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - 5*-2*sqrt(133) - 1*(1*sqrt(133) + sqrt(133)))\/(-5*sqrt(784)\/sqrt(7)).\nAnswer: -9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.262108kg in milligrams?\nAnswer: 8262108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27538723 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-120))\/((-6)\/56*(-12)\/15).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2*a - 7*a)*(-a**4 + 2*a - 3*a**4 - 3*a) + (-3*a**3 + a**3 + 4*a**3)*(2*a**2 + 0*a**2 + 0*a**2) + 5 - 9*a**5 - 5.\nAnswer: -a**5 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.01 + -2. Let z = 2864.989974 - 2865. Let r = h + z. What is r rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 17}. What is prob of picking 1 g and 1 m?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 368788221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -0.5, -6.5, -20, -0.26, 5\/6, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.422021 to 3 decimal places.\nAnswer: -0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/6 - 6*n**3 - 51*n**2 + 6*n + 2. What is the first derivative of q(x) wrt x?\nAnswer: 4*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/96*-4*6\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 765.7414ng?\nAnswer: 0.7657414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h + 12*h - 3*c + 197 = -35, 14*h - 4*c + 72 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73\/280 + -1\/40. Let l = 0.06 + 3.94. What is the second biggest value in l, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1950 + 3150. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65112 by 4.\nAnswer: 16278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19004 divided by -6?\nAnswer: 9502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/16)\/(4\/(-32))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 69. Let n = u - -30. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 47*p**2 - 3*p - 4. Let k(l) = 93*l**2 - 7*l - 9. What is -2*k(i) + 5*n(i)?\nAnswer: 49*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 77*g + 24 = 3*u, 5*g + 51 = 4*u. Solve -u = 2*v - v - 2*m, 3*m - 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 244\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*j - 2*c - 112, 3*j = 4*c + 164. What is the remainder when 33 is divided by 1032\/j + 8\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3921*i**2 + 43291*i**2 + 186919*i**2.\nAnswer: 226289*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -22431311043?\nAnswer: -22431311100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -115, 1 in ascending order.\nAnswer: -115, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 + (-2 - -2). Suppose 0 = -l*w - w + 232. Let y = -33 + w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.826002 and -0.85843.\nAnswer: -4.684432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (1*sqrt(76)*2*5 - ((sqrt(76) + 1)*-2 + 2*sqrt(76)*6)**2)).\nAnswer: -300*sqrt(19) + 22812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*f - 2, 118*f + 19 = 123*f + 2*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99188703 or -99188702?\nAnswer: -99188703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 25. Let z be y(21). Suppose -z*t + 26 = -s - 3, 2*s + 10 = 0. Suppose 15 = t*g - 693. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882418 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzjtjztdzzditjdj. What is prob of sequence zzdz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/f*f*f\/((f\/f**8)\/f))\/((f*f**(-2\/17)*f)\/f**(-7)) assuming f is positive.\nAnswer: f**(-20\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = w - 22, 2*k + 89*w - 76*w - 14*w = 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779.5865 kilometers to micrometers.\nAnswer: 779586500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 160\/15*6\/(-30). Which is the fourth smallest value? (a) 0.3 (b) 3\/68 (c) -1 (d) 0.1 (e) s\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1014 (b) 26 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 + 325*x**3\/3 + 322*x**2.\nAnswer: x**2*(x + 3)*(x + 322)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 38. Give j(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452*x**2 - 819*x**2 - 829*x**2 - 825*x**2.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmcpmipmippmip. What is prob of sequence iim?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**9\/q)\/q**(-3\/4)*(q\/(q*q**(-1\/5)*q)*q)**(17\/2) assuming q is positive.\nAnswer: q**(229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(-20)*3\/6. Let v = -10 + 11.2. Let n = v + -1.1. Which is the nearest to -3? (a) f (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**10\/7200 + f**6\/144 + f**5\/6 + 22*f**2. Let v(b) be the third derivative of j(b). What is the derivative of v(l) wrt l?\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69427761 is divided by 6184?\nAnswer: 6177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(2 - w - 2) + (-7*w - w + 2*w)*(-1 + 3 + 2).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 636665, 1273332, 1909999, 2546666, 3183333?\n\"Answer: 636667*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -10*u**3 - 2*u**2 - 2*u - 2. Is 28 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgeeeejgeeweeeewere. What is prob of sequence we?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178.1 - 176.7. What is the smallest value in s, 2\/9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20049 is divided by 9617.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107073.\nAnswer: 3, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122787*q**3 - 83*q - 2 + 2 + 118749*q**3.\nAnswer: -4038*q**3 - 83*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32780\/7 + -4682. Let i = -37.7 - -38.1. Let o = 0 - -0.5. Put y, i, 2\/13, o in decreasing order.\nAnswer: y, o, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**8\/4032 - y**7\/112 + y**6\/18 - 11*y**5\/20 + 5*y**2. Let q(v) be the third derivative of u(v). Factor q(t).\nAnswer: 5*(t - 8)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10397835 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*t + 1099 = -6*t, -1397 = -5*b - 4*t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58\/((-1036)\/525 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and -63\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w**2 - 2*w. Let a(j) be the second derivative of -j**3\/3 + 8*j + 1. Calculate a(s(h)).\nAnswer: 28*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/63)\/((-1948)\/(-2922)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268.1 + 268. Let f = -35 - -31.9. Let a = i - f. What is the closest to a in 1\/10, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -861 - -8c87?\nAnswer: 8426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1450\/(-4) + -1 + (-20)\/(-8). Find the common denominator of u\/(-30) + 11\/(-33) and -47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 323?\nAnswer: -12920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156da (base 16) in base 3?\nAnswer: 11110101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j - 5*j + 3*j - 12*j - 17*j - 10*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -0.07228.\nAnswer: -0.0086736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 24*o**2 - 110*o + 47. Determine y(8).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49686151531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n - 105. Let a be g(-10). Calculate the highest common divisor of a and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3995475*-0.07\nAnswer: 279683.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*s**2\/9 + 53320*s\/9 - 4424\/3.\nAnswer: 2*(s + 158)*(169*s - 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64649 - 23729. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -476200 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnonofnwf. Give prob of sequence of.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -477.9 + 478. Let v be (148\/16)\/((-2)\/(-4)). Is o >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*77\/(-35) + -1. Suppose 0 = x*t - 5381 - 11879. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 61*h - 65*h + 5*v, 6 = 2*h - 2*v. Solve h = 4*d - 2 - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 100*c + 13. Let y(l) = -23*l - 3. Let n(g) = 6*s(g) + 26*y(g). Let o(m) be the second derivative of 5*m**4\/4 - 2*m. Determine o(n(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*x**2 - 32*x wrt x.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6363 (base 10) to base 2.\nAnswer: 1100011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, e: 1, a: 2, c: 11}. Give prob of picking 2 c, 1 f, and 1 a.\nAnswer: 275\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) -5\/8 (b) 0.729 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1180751\/101 equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 73*d**2 - 1. Let a be j(1). Suppose -5*m + 0*u + 4*u = a, 3*m = 4*u - 40. Let b = -55 + m. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 < -15879\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1102 divide 5496976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1012?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 - 7*d**2 - 418 + 2*d + 419 in the form s*d + a*d**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244022 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2251*d = -2234*d - 2380. Sort d, -4, -3 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 387.38485 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a139a7 - -10?\nAnswer: a139b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(1\/2) + ((-6039)\/(-366) - 19)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59299 - 586.\nAnswer: -59885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18206142067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.1, 1, -1, -3, -572?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 8*q**2 + 6*q - 3. Let x = 5 - -4. Let l be v(x). Suppose 5*t - l = t. What is the greatest common divisor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -944 in -0.5, -0.1, -9, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10554 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: b\"What is the wth term of 5, -6, -19, -34, -51, -70?\n\"Answer: -w**2 - 8*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.32644507 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*20090.\nAnswer: -6027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07198 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 68 (b) 1 (c) -1\/5 (d) -3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4327, 9540, 14753, 19966, 25179, 30392?\nAnswer: 35605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4 - z**2 + 4 + 14*z - 9. What is the remainder when 87 is divided by l(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/3 + 14*i + 18. Let b(t) = 1371*t. Give b(p(d)).\nAnswer: -2742*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y + 13*y + 60*y - 25*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkm. Give prob of sequence rmr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 76*b**2 - 4*b - 10. Let s be c(-38). Solve -169 + s = -9*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -903 from -34.\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167 is divided by 633.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 17456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - 10 = 2*s, 0 = -2*v - 8. Let i be 4\/6 + (-1040)\/s. Let b = 4380 - 4311. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27506881183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/2)*p**(1\/8)*p**3*p**(2\/5))**(-3\/7) assuming p is positive.\nAnswer: p**(-123\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10349, -18833, -27317, -35801, -44285?\n\"Answer: -8484*i - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.8 (b) -0.031 (c) -1\/3 (d) -10 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x. Suppose j + 4 = x, 2*s + 7*j - 2*j + 14 = 0. Solve -s*m = -4*l + 4, 5*m - m + 24 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1489*v + 75 - 209 + 72 + 62 to s*v + j and give s.\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1007 - -1511. Suppose -17*g - o = -20*g. Calculate the greatest common divisor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38145049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.01, -5, -0.1, -1\/11 in ascending order.\nAnswer: -5, -0.1, -1\/11, 0.01, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20485 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267910 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 96 = 6*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 + (-7943)\/(-10647)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-13 - 3 - -17) + -2 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 68719 + 68975 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -k + 5*c, k = 2*c - 3 - 9. Let w be (-5)\/(-4) - (-2)\/k. Let o be w*(-3 + 1) + 5. Sort o, -1, 0 in ascending order.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*x + 84 = -5*j, -82 = -j + 4*x. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 39. Suppose -48 = -2*c + f, 2*c - 7*f - 68 = -p*f. What is the highest common factor of c and 416?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * 77791.\nAnswer: -2878.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -227119\nAnswer: -1362714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2999.1772126 - -2728.17721086. Let a = k + 271. What is a rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.68 and 0.0892.\nAnswer: 2.915056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4407726377 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3\/7 + 92*n**2\/7 + 660*n\/7 + 1044\/7.\nAnswer: -4*(n - 29)*(n + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 890 - -1?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 1 - 5*c**2 + 2*c**3)*(-9*c + 9*c - 4*c**2).\nAnswer: -8*c**5 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 9:44 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.9. Let f = -0.1 - 0.5. Let y = -0.4 + f. Which is the nearest to y? (a) -3 (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173433, -1387548, -4683027, -11100552, -21680805, -37464468?\nAnswer: -59492223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*sqrt(125) - (sqrt(5) + 3*(sqrt(5) + 0 - sqrt(5)))).\nAnswer: 2 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 275*x - 90. Let z be g(10). Suppose 2031 - 5387 = -5*y + 4*m, 4*y = -3*m + z. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 8, 0 = 3*y + f - 3*f + 5. Let j be 3 + 29*1\/y. Suppose p = -3*p + j. Solve 4*n = -p - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117788 is divided by 1043.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*y**2 - 180*y**2 + 214*y**2 + (-82 + 8*y + 82)*(-2*y + 3 - 3).\nAnswer: -93*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6)*12\/8)\/(2100\/(-240) - -10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -10*w - 17 + w**3 + 1\/2*w**2. Let s be j(6). Calculate the greatest common divisor of s and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 10, -4 in descending order.\nAnswer: 10, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1. Suppose -s = -m + 6, 0*s + 3*m + 6 = -s. Let w(f) = 3*f + 8. Calculate s*o(a) + w(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/19146 and -41\/12764.\nAnswer: 38292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by -1?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25883.97um in kilometers?\nAnswer: 0.00002588397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3*2\/4. Suppose n + 2*z + 4 + 6 = i, 5*z = -2*n - 25. Suppose n*o + 3 = -o. Let x(t) = -2*t + 5. Let g(h) = -h + 4. What is o*g(u) + 2*x(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + w = 4*u - 344998, -229992 = 2*u + 4*w. Round u to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-3))\/((-40)\/42) and -117\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186 divided by 2?\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * -0.9935.\nAnswer: 2.88115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52825.\nAnswer: 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31944153, -31944146, -31944139, -31944132, -31944125?\nAnswer: -31944118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/2*t**2 - 3*t + 0 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 48.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 29 + 54)*(-2*p + 0*p + p - 3)*(-p + 3*p - 3*p).\nAnswer: 62*p**2 + 186*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s. Let a(b) = 396*b**2 - 5*b. Let t(q) = a(q) - 5*k(q). Let r(m) be the first derivative of 2*m**3\/3 - 214970. What is r(t(x))?\nAnswer: 321602*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/5 (b) -0.2 (c) -4175 (d) -0.5 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 5314867.\nAnswer: 196650079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuf when three letters picked without replacement from uufw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqa when four letters picked without replacement from {a: 15, q: 5}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 3563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -0.8. What is the closest to w in -4, 0, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235024135 to the nearest integer?\nAnswer: 15330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1201*d**2*r**3 - 47*d**2 - 35*r**3 + 550*r wrt r.\nAnswer: -7206*d**2*r - 210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.92 * 536\nAnswer: -1029.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12177\/344 bigger than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16192 - -17317. Calculate the highest common factor of k and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18314\/3895 - -3\/1558. Suppose 2*u + 2*q - 1032 = 0, -59*q - 1026 = -2*u - 64*q. Calculate the common denominator of -10 - ((-8757)\/u + 7) and f.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53443e (base 15) to base 9\nAnswer: 7410445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3046*w**3 + 2039*w**3 - 3796*w**3.\nAnswer: -4803*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 472.44*21\nAnswer: 9921.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301065 is divided by 66?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2, 0.046, -2, 3 in increasing order.\nAnswer: -2, -1\/2, 0.046, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 560 and 1246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 11. Suppose 4*r - 731 = 2*p + 875, 0 = -5*p + 5. Suppose m = -b*m + r. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/98 and -33\/80894296.\nAnswer: 80894296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -499779*y**2 - 287608 with respect to y.\nAnswer: -999558*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 - 36*b - 128 + 400*b)*(6*b**3 + 23*b**3 - 3*b**3) + (-5*b**2 + 5*b**2 + b**4)*(4 - 1 - 1).\nAnswer: 9466*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*2)\/sqrt(9) - (-2 + sqrt(198)\/sqrt(11)))**2.\nAnswer: 20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 3. Let x be u(5). Suppose m = x*k - 3*k + 7, -8 = -4*m + k. Is 106 + (0 + m)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*a**3 + 373*a**2 + 208*a**3 + 8155185 + 392*a**2 + 195075*a - 145*a**3 + 8426190.\nAnswer: (a + 255)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -w - a, 2*w - 3*a = -3. Let c(t) = -4*t - w + t - 1 + 3. Let z be c(-3). Solve -z = -0*l + 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 66*f + 127. Let a be k(13). Let g(n) = 978*n**2 - 12*n - a*n**2 + 7*n + 4*n**3. Let y(w) = -6*w**3 + 10*w**2 + 7*w. Give -7*g(t) - 5*y(t).\nAnswer: 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85\/6 + 14. What is the nearest to 17\/4 in j, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {a: 1, x: 12, j: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*336\/(-1120)*(-2015)\/(-78).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 10 = -11*i. Suppose -4*b = 5*y, -y - b = i*y. Suppose 5*k - 74 - 1 = y. Solve c = 0, c - k = -f - 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*y**4 - 6*y**2 - 5*y**2 - 195*y**2 wrt y?\nAnswer: 1104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -37, 0.2.\nAnswer: -37, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4)*m\/(m**3*m)*(m**(2\/3))**(4\/33))**(2\/15) assuming m is positive.\nAnswer: m**(-1172\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/13)\/g)\/(g\/g**40))\/(g**(-2\/85)*g\/g**(-17)) assuming g is positive.\nAnswer: g**(22211\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d + 8 - 8)*(-3 - 4 + 4).\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 7. Let h be r(0). Suppose 4*f = 4*v - 12, h = 4*f - 3*v + 22. Is (-87)\/f*(1 - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1018 + 1023. Let g = -4.93 - 0.07. Which is the closest to -10? (a) q (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from wvvvwvwv.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4068 and 4504.\nAnswer: 4580568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1 + 3)**2 + sqrt(19) - sqrt(19) - (-1*sqrt(684))**2)*-3.\nAnswer: -12*sqrt(19) + 1983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10691486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.3657l to millilitres.\nAnswer: 697365.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:24 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 3 (b) 0.03 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1010 divided by 202.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825351 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7144417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 910?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (338\/39)\/(8\/1992).\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10607*t**4 - 2*t**2 + 12*t + 148 wrt t?\nAnswer: -254568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5084237729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 41. What is the nearest to -5 in 3, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263297 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/6))**(-3\/11) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**3 + w**2 + 1. Let d(f) = -38*f**3 + 4*f**2 - 15*f + 6. Determine d(m) - 6*p(m).\nAnswer: -2*m**3 - 2*m**2 - 15*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 36*a**2 - a - 1. Let k be l(-1). Suppose 0*j - 2*j = -3*s + 140, -s - 2*j = -k. Suppose 0 = i - s - 9. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68553.52 and -0.02.\nAnswer: -1371.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 473341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 1859.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - q + 1, 0 = 4*q - 4. What is the units digit of -3 + (-1 + w - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.1, 0.4, -275, -3, -2, 1638?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122598*q**5 - 263*q**3 - 4889*q**2 - 112*q - 18.\nAnswer: -7355880*q**2 - 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 76.31. Let a = 3.69 + v. What is the closest to 5 in -1\/4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/118*148\/6. Let j = 53139\/295 + a. Let f = j + -201. Find the common denominator of -46\/7 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.80926ng in grams?\nAnswer: 0.00000002180926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71685556 to the power of 1\/2, to the nearest integer?\nAnswer: 8467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 29. Let j(b) = 17*b - 86. Calculate -4*j(g) + 11*n(g).\nAnswer: -2*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1225197.27 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + o)*(-6*o - 7*o - 7*o) to the form f*o**2 + u*o + j and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:07 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5132 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 254 + 269 + 2*v**3 - v - 515 - 6*v**4 in the form j*v**3 + u*v + f*v**2 + h*v**4 + r and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -57620616 times 18?\nAnswer: -1037171088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -4\/3 (b) -4 (c) 5 (d) 1 (e) 47 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1142*0.0952\nAnswer: -108.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7114304 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.81 - -0.19. Suppose -3*n - 10 = 14. Let p be n*(-1)\/(-9) + 1. Sort 0.5, t, p in increasing order.\nAnswer: p, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121022112212200 - -2002?\nAnswer: 121022112221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7410.\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63f - 3?\nAnswer: 63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32*(-3)\/2 - 2)*875\/(-70). Calculate the highest common factor of c and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 5*g**2 + 3*g**2)*(-31 + 37 + 54 + 133).\nAnswer: -386*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -6) + ((-15311)\/(-1255))\/(4\/5).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*q - 0*q. Suppose -2 = c + 3*h, 0 = -h - 0 - 1. Sort -2, q, c.\nAnswer: -2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1187, 2362, 3537, 4712?\nAnswer: 5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*(-16)\/32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let s(p) = -p**3 + 13*p**2 + 24*p - 42. Let i(x) = -d(x) - s(x). What is the hundreds digit of i(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16904\/1188 - -20*(-18)\/(-990). Which is bigger: 16 or b?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -465, -156 in ascending order.\nAnswer: -465, -156, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2de30b (base 16) in base 3?\nAnswer: -12122210011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 167, -5, 2, -244, -2 in ascending order.\nAnswer: -244, -5, -2, -1, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -17. Let t be (-1 + 1)*(-4)\/u. Suppose 3*m - 789 + 165 = t. What is the highest common factor of 26 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**3 + 4*z. Let d(v) = v**3 - v. Let c(p) = a(p) + 3*d(p). Let u(o) = -o. Let b(s) = -c(s) - 2*u(s). What is the second derivative of b(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 16?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -27. Let l = g - -30. Is l <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, t: 9}. Give prob of picking 1 v and 2 t.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 33. What is the tens digit of (-1)\/(f\/(-8))*-18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhpznvzzzhezpenzz. Give prob of picking 1 p, 1 e, and 1 v.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*m - 9 = 0, -5*o + 4*o = -4*m - 13. Suppose -2*t = -r - 0*r + 12, o*t = -r - 16. Let a = -7 + r. Is a <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3*-136346\nAnswer: 586287.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 - 13*c**2 + 17*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - 20. Suppose 3 = f - 51*s + 46*s, -5*f - s + 15 = 0. Solve -6*d + 3*d + l*r = -35, -f*r = 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9703 + 9703.3. What is the second biggest value in k, 0, -3.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*s**2 + 2*s**2 - 46*s**2.\nAnswer: -118*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 27)\/(10\/150).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(121\/(-88))\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2182*u - 15272. Let n be x(7). Solve -4 = -3*k + n*h - h, 0 = 4*k + 3*h - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507906456 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + -37 + 92 - (296 - 282)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 + 7*s**4\/12 + 7*s**2\/2 + 158*s. Suppose 0 = -d + 12 - 5. Suppose 7 = -d*i + 6*i. What is p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/(-14) + (-1)\/14*-6. Suppose p = u*p - 412. Let j = -47 + p. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Suppose -45*x - 260 = 55*x - 165*x. Solve -f + 0 = 5*b + 8, -p*f - x*b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -246*t - 102. Let y be g(-2). Suppose -42 = -k + 23. Calculate the greatest common divisor of k and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1820706 and 157?\nAnswer: 1820863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(228)\/(sqrt(6) - sqrt(6)*-4) - sqrt(38) - sqrt(38))\/(sqrt(8)\/(sqrt(4) + sqrt(28)\/sqrt(7))).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 39*v - 20*v + 1 + 4*v**2 - 19*v. Let m(b) = -b**3 - 5*b**2 + 7*b + 7. Let o be m(-6). Suppose 4*j = 2*a + 14, a + j - o = 4*a. Calculate h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95254 divided by 4.\nAnswer: -47627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26597995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00463 + 0.99537. Which is the closest to -8? (a) m (b) 0.1 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*2 + 3)*-5)**2 + -1 + -4*(-2 + sqrt(832)*-2).\nAnswer: 364*sqrt(13) + 1532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5*n + 37*d**4*n + 3*d**2 + 2*d*n + 2*d wrt d.\nAnswer: -60*d**2*n + 888*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.66 + 0.6. Let g = f - -0.09. What is g rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/30 and 2\/48*(-1260)\/24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**4 - 19*i + 105*i + 62*i**4 + i**5 + 2*i**4 wrt i.\nAnswer: 20*i**3 + 672*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 6, 2\/11, -8, -35.6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.11 - 0.89. Let u = 1732 + -1677.43. Let q = u + f. Round q to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 7*a + 7. Let k(m) = 3*m - 3. Calculate 4*b(i) + 9*k(i).\nAnswer: -4*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -24352 >= -25535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -128*d**3 + 2*d**2 + 65*d + 6. Let i(r) = r**3 - r**2 - 3. Let t(l) = 2*i(l) + p(l). Find the second derivative of t(c) wrt c.\nAnswer: -756*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1354 or 1370?\nAnswer: 1370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -38 - -77 - (1 + 18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*v - 68*v - 3765*v - 1398*v.\nAnswer: -4847*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjpw. Give prob of sequence pj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000144132 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**4 + 72*f**3 - 151*f**2 - 87*f + 119. Let n(o) = o**4 + 2*o**3 + 3*o**2 - o - 1. Let d(y) = -2*g(y) - 30*n(y). Solve d(c) = 0.\nAnswer: -52, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1637 + -36065\/22. Let v = 327\/2 + -160. Find the common denominator of v and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6)*p)\/p)**(4\/13)\/((p*(p*p\/p**19*p*p)\/p)\/(p**(-3\/2)\/p*p*p*p)))**(10\/11) assuming p is positive.\nAnswer: p**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -r - 7. Calculate the common denominator of 87\/4 and 295\/(-35) + r\/(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 82, 2, -4, 1 in increasing order.\nAnswer: -21, -4, 1, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, n: 11, o: 3}. What is prob of sequence oob?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472533 to the power of 1\/2, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 735 and 10.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313*d**2*v**2 + 2098*d**2 + d*v**3 wrt v.\nAnswer: 626*d**2*v + 3*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) -0.4 (d) 3 (e) -285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 8*k + 3*k**2 - 1\/6*k**3 + 0. Let x(n) = n - 5. What is -5*g(w) - 6*x(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -375 - -381. Solve -p + 5*s = -12, 4*p - 5*s = 12 + q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 3*b - 2. Suppose 8*o = 4*o. Let t = o - 3. Give g(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1629*k**5\/20 - 490*k**2 - 89*k + 3. Differentiate d(b) with respect to b.\nAnswer: 4887*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 15\/(-5) - (-29313)\/(-5859). Let a = 1945\/2604 - o. Factor a*j**3 + j + 0 + 2*j**2.\nAnswer: j*(j + 2)*(3*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and -48 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 9*c**2 + 0*c**2)*(-5*c + 2*c + 2*c)*(-2 + 10*c + 11*c - c**2 - 24*c).\nAnswer: -7*c**5 - 21*c**4 - 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1478106*w**2 + 212*w + 408 wrt w.\nAnswer: 2956212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 73 - -85 - -8.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -113. Let d = 139 - v. Suppose -44*h = -46*h - d. Let f(g) = -g**2 - 2*g + 1. Determine f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 7. Let f(h) = h + 2. Let z(a) = -7*f(a) - 2*v(a). Let l(y) = 5*y**2. Give l(z(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17063 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 2, -124, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r**3 - 5506*r**2 + 1042*r + 1573. Determine l(262).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 203328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39324 and 10622?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -41 (b) 1.1 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -22*w**2 - 14*w + 1. Let x(c) = 88*c**2 + 57*c - 5. Let v(n) = -9*t(n) - 2*x(n). Is v(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t**(-4)*t)**(7\/9) assuming t is positive.\nAnswer: t**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 321 = 313 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29218 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -47*s**7\/105 - 71*s**5\/30 - s**4\/12 - 36*s**2 - 3. Find the third derivative of m(f) wrt f.\nAnswer: -2256*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 1167.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 bigger than 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + f**5 + 0*f**5 + (3*f - 2*f + f)*(-2*f**4 - f**4 + 2*f**4) - 31953*f + 15971*f + 15982*f + 5*f**5 - 2030*f**4.\nAnswer: 4*f**5 - 2030*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 4. Suppose 4439 = x*d - 446. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3 - (-22 + 33)) + 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 3*x**2 - 6*x - 2. Let v(i) = i + 7. Let z be (22\/(-4))\/(14\/28). Let g be v(z). Calculate p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -217\nAnswer: -10\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - -7 - ((-1 - -1) + -5). Suppose -2*f - 4 = -j*f. Suppose f*n + 4*d - 27 = 5*n, 4*n + 3*d = -11. Sort 3, n, -3, -2 in increasing order.\nAnswer: n, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601193.\nAnswer: 601193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498466 to the power of 1\/2, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-12)\/53) + 12?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*n**3 + 1150*n**2 - 253247 wrt n.\nAnswer: -39*n**2 + 2300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/45 - (-8)\/24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11239430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - 4 - -1 - (-74 - (-66 + -12))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 35. Let s = -155 + 159. Put r, s, 0.2 in descending order.\nAnswer: s, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10134873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 29105045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 12. Let f(i) = 218*i + 100. What is f(l) + 10*g(l)?\nAnswer: 208*l - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)\/sqrt(6)*-5*5 - 1*2*sqrt(288)*-5)**2*3.\nAnswer: 38400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -6, -17, -42, -87?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 45. Let v be 3\/o*(0 - 0). Suppose 2*g + 38 - 64 = v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2803956 divided by 2\nAnswer: -1401978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 7627.44683?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.064, 1, 2, 5 in descending order.\nAnswer: 5, 2, 1, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0522 - -0.0422. Which is the closest to 2\/3? (a) 0 (b) -1 (c) 1\/11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22778, -44583, -65438, -85343, -104298?\nAnswer: -122303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3072 - 2.93.\nAnswer: -3074.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 128 - 128*o + 526*o - 125*o - 122*o - 123*o. Calculate f(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 309 + 2170*b**3 - 2171*b**3 - b**2 to g*b**3 + x*b**2 + n*b + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*n + 19 = -145, 4*q + 2*n - 670 = 0. Find the common denominator of 23\/10 and 3*(-52)\/q*(-2)\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a428 (base 15) to base 2.\nAnswer: -1000011110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 1542?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0, 1222, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16248, 33268, 50288?\nAnswer: 67308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1006\/(14\/(-3080)*-22)?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/5 + 62*m**3 - 7884*m**2\/5 - 5073208*m\/5 + 398353408\/5.\nAnswer: -(m - 146)**3*(m + 128)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -8, -627356 in decreasing order.\nAnswer: 4\/5, -8, -627356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 4*y - 2*y)*(-6 + 3 + 4) + y - 2 + 2 - y - 46*y - 3*y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -56. Suppose -2*n + f + 23 = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9532.177ng in kilograms?\nAnswer: 0.000000009532177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.7724ms to seconds.\nAnswer: 0.0937724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17537 - -1420432\/81. Calculate the common denominator of 19\/723 and l.\nAnswer: 19521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/2 - 3*n**2 - n. Let f(j) = 2 + j + 2*j - 1 - 2*j. What is 5*f(c) + u(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65025)\/(-2475) + -26 + (-78)\/44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*f**3*t + 67182285*a*f**3 + 137930*a*f + 4*a*t + 32*f**2*t wrt f.\nAnswer: -18*a*t + 403093710*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (((sqrt(300) - (sqrt(300) + sqrt(300) + 3 + sqrt(300))*-4) + sqrt(300))*-5 + -2)*-1)**2.\nAnswer: 89600*sqrt(3) + 1474096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4415*t**3*z - 78*t**2*z wrt t?\nAnswer: 26490*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a - 1. Suppose 0 = -5*s + 2*v + 14 - 92, s - v + 15 = 0. Let q = 10 + s. What are the prime factors of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4321176 divided by -802\nAnswer: -5388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 3, y: 3, z: 5}. What is prob of picking 1 y, 1 b, and 1 z?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + -3)\/9*-1*60. What is the greatest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 26*g + 76. Let a be k(-28). Suppose -9*f = -a*f + 5*f. Solve -3*q - 5 - 4 = f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*k = -32, 3*d - 6*k = -8*k - 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -515074?\nAnswer: -515066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let f(k) = -k. Let h(q) = -5*q**2 + 10*q. Suppose -m = -5*v - 16, 3*m + 7*v = 3*v - 9. Let u(i) = m*h(i) + 10*f(i). Calculate u(g(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.4 + -195.4. Let t = q + 165.3. What is the fourth biggest value in 0.1, 3, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/30 and 68\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-325))\/(12\/40)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46571261597\/332739198 + -603404\/4367. Let p = -28\/4233 - a. Find the common denominator of -71\/12 and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022 times 0.046?\nAnswer: -47.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610255, -1220509, -1830763?\nAnswer: -2441017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-12 + -9)) + 2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7470 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 10126.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1034032407194 and -3.\nAnswer: 1034032407191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30529305 divided by -6105861.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 303. Let c be 4591\/35 + 6\/14. Let r = v + c. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w**2 - 65*w. Let k(m) = -5*m**2 + 0*m**2 + 6*m + 6*m**2. Let c(b) = 4*j(b) + 45*k(b). Factor c(l).\nAnswer: 5*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9612*b + 74 - 133 + 4810*b - 84 + 4801*b - 143.\nAnswer: -b - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9394 - -9396.6642. Round k to 2 dps.\nAnswer: 2.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-8)*h*h)*h*h**(-20))\/(h**(-10)\/h*h**(-5\/3)) assuming h is positive.\nAnswer: h**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1940.782.\nAnswer: 7763.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(300)\/(sqrt(10)*-2))\/((sqrt(90) - sqrt(90)*2)\/sqrt(9))*-4)**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1834 and -8333.2.\nAnswer: -10167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -116. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4\/2 + 11184*z**3 - 20429061*z**2 - 1557987120*z - 58217649075\/2 = 0.\nAnswer: -37, 3765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(10\/9))\/g*g**(1\/5))**22 assuming g is positive.\nAnswer: g**(2288\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h - 24. What is the units digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722*l + 180 = -716*l. Solve 6 = -l*u + 29*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(2*d**2 + 0*d**2 + 0*d**2) - 2*d**2 + 3*d**2 - 3*d**2 - 2*d + 2*d + d**2 to the form n*d + z*d**2 + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*z + 537*d + 119*z**2 + 18*z + 7 wrt z?\nAnswer: -2*d + 238*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1318 + -552. Suppose 7*w + 710 = f. What is the greatest common factor of 100 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5025 - -29015. List the prime factors of j.\nAnswer: 2, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -397 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 45, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706977840 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -163*h**3 - 2*h**2 - 6*h. Let i(z) = 66341*z**3 + 815*z**2 + 2445*z. Give 2*i(g) + 815*k(g).\nAnswer: -163*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222021010 - 0?\nAnswer: 222021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 22. What is the third biggest value in o, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 418*b - 1886*b + 83 - 1251*b. Is n(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 7*d = -19*g + 10, 8*g + 2*d + 2*d - 76 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z - 22 = 0, -z - 7 = i - 4*z. Let k(x) = 4 + 1 - 11 + i*x. Let d(c) be the second derivative of -c**2\/2 - c. Determine -5*d(h) + k(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + w + 2. Let c(j) = -13*j**2 + 4*j + 9. Let o(d) = 2*c(d) - 9*u(d). Factor o(n).\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2576 and 1\/38?\nAnswer: 48944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*o - 15 = -o, -5*f - o = -25. Suppose -u - 36 = -f*u. Let d = 65 - u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3311 and 679357.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3301764 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3433150 is divided by 3687?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9136*k + 13400.\nAnswer: -9136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 2:33 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81837 - 81783 - 33*b**3 - 39*b**3 + 163620.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -153*r + 139*r. Calculate the remainder when 103 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 233 + 34125?\nAnswer: 34360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 6516 - 6516.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, q: 1, o: 2, h: 5}. Give prob of sequence rq.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7448d24 + 1b?\nAnswer: 7448d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 1448, 2188, 2950, 3740?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 5, -1045, 1, -3 in decreasing order.\nAnswer: 5, 1, -2, -3, -14, -1045","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -2 (c) -2\/13 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j**4\/3 + 19777886*j**3\/3 - 1648160*j**2 - 19777886*j\/3 + 4944472\/3 = 0 for j.\nAnswer: -2472236, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 - -19.6. Let f = -23.00126 + s. What is f rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + -7341?\nAnswer: -7365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 27 - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6214436?\nAnswer: 2, 61, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let g be f(8). Suppose -g*w = -10*w + 4. Solve -l - 6 + 31 = w*b, l = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 7*f**2 + 11 + 7*f**3 - 45 + 14 - 8*f**3 as p + u*f**3 + i*f + k*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:50 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**31)\/(v**(-2\/39)*v) assuming v is positive.\nAnswer: v**(1211\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o - 1. Let x be l(1). Let j = -164258 + 164274. Sort x, j, -4.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/18)\/(12\/(-72)). Let u(j) = -j**2. Give u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, c: 1, i: 1, l: 1}. What is prob of sequence lzl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -0*d + 7*d. Suppose 4*j + 93 = d*j. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 5*i + 21. Suppose i*q - 5 - 1 = 0. What is the derivative of 12*s**2 + 4 - 25*s**2 - 6*s**4 + 13*s**q wrt s?\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -34280*c - 8683. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30042, -120151, -270334, -480591?\nAnswer: -750922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from {i: 9, m: 4, r: 2, t: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.9, 0.2, 0.5, -0.3, 5.\nAnswer: -0.3, 0.2, 0.5, 5, 11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2940 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 92. Suppose 0 = -3*o - f, 17 = s - o - 1. Let k = 8 - 2. What is the remainder when s is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -0.3, 0.3, 92, -2\/115, -2?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 - -1 - (12 + -28)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16066472423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-70)\/(-165))\/(11368\/(-1313004))\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -8*x - 6*x - 128. Solve 0 = -x*b - 16*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -110. What is the nearest to 0 in -1\/5, r, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 1\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 24*t + 45. Let d be o(-2). Let k(g) = 9*g**3 + 5*g**2 - 6*g + 4. Let n(w) = w**3 + w**2 - w + 1. Let z = 9 - 15. Calculate d*k(h) + z*n(h).\nAnswer: 3*h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*k - k - 29, 0 = -k + 3*t + 1. Let i = 64 - 42. Let c(g) = -g**3 + 23*g**2 - 23*g + 31. Let q be c(i). Solve 4*h + q + k = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -8 (c) 20573 (d) 2\/7 (e) 1 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 3*s = 2*r + 36, 9*r - 34*s = 13*r - 408 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 26995\nAnswer: 3\/26995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 199 - -153e?\nAnswer: 16d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748 - 22 = 75*v - 399 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqx when three letters picked without replacement from qcxca?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**3 + 11*l**3 - 7*l**2 + 33 - 34 - l - l to the form y*l**2 + r*l + i*l**3 + j and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.8. Let i = 0.087 + 0.913. Let m = 0.3 - 0.1. Which is the smallest value? (a) i (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156565 (base 11) in base 14?\nAnswer: 64754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 2bce4d?\nAnswer: 2bce51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 93*f - 105*f + 203*f - 2*f - 1 + 1 + (1 - 1 + 2*f)*(-1 + 3 + 0) to i*f + j and give j.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from brrbjrljnb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0.5 (c) 0.8 (d) 0.4 (e) 48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 104*n**2 - 102*n - 67. List the prime factors of y(106).\nAnswer: 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 665 and 1001357?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68800.9957429 - -68801. Round x to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 - 3888*p\/13 - 386190\/13.\nAnswer: -2*(p + 105)*(p + 1839)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455 (base 8) in base 13?\nAnswer: 7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/2565377?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/458374 and -63\/232.\nAnswer: 1833496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 692, 5, -2, -3159?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.2708483?\nAnswer: -0.08125449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 48. Let w(n) = n**3 - 5*n**2 - 17*n + 10. Let a be w(7). Give x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214418567 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/34 and -9\/170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/22687 - 6423659\/22687. Let m = x - -11269\/42. Find the common denominator of 29\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**5\/210 - g**4\/84 - 13*g**2. Factor h(w).\nAnswer: -2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-2)*f)\/f)\/f*f**18 assuming f is positive.\nAnswer: f**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 2, i: 2, m: 9}. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -y - 70*l + 72*l, 3*y + 5 = -2*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167935 and 4245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286207 is divided by 244?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015412653?\nAnswer: 139, 1759, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-24))\/((-1805)\/(-114))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -2087, -3142, -4197, -5252, -6307?\nAnswer: -7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -32*m**2. Let i(n) = 4*n + 30. Let a be i(-7). Suppose 0 = -3*c + a*s + 14, 5*c + 2 = -5*s - 8. Let o(j) = 3 - 3 - 16*j**2 + 18*j**c. Give h(o(p)).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265015504 or 265015505?\nAnswer: 265015505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 3\/2 (c) 4\/3385 (d) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 956 by 239.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146755363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*d + 15*d**2 - 68*d - 36 + 119*d as j*d + z*d**2 + o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -208.\nAnswer: -363\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2043*z**2 + 73547*z - 62. Give a(-36).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-4 + 5) - -22. Let o(l) = -3239*l**2 - 475*l**2 + 28 - 2*l - 368*l**2 - r. Let y be o(-7). Round y to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*o - 2568, -u + o = -4*u - 1915. Let r(y) = -427*y - 3. Let j be r(-3). Let a = u + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4247269.\nAnswer: -1698907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -66, -147, -260, -405?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d - 25. Let h(x) = -x**2 + x - 3. Determine h(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, x: 1, g: 4, q: 1, e: 6}. Give prob of sequence eu.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 124. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 634 + -373. Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576701171?\nAnswer: 576701171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243770 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/44? (a) -6 (b) 4 (c) -2 (d) -230\/7 (e) -1\/8 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205\/112 or -1?\nAnswer: -205\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3786569411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 19*b - 4*t - 320258, -15 = -5*t. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyyojjooyyjyyo. What is prob of picking 3 o?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrnjrrnjnr. Give prob of picking 1 n and 3 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 10.\nAnswer: -3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-21 + (1 - -10) - -11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9203949, 9203964, 9203981, 9204000, 9204021, 9204044, 9204069?\nAnswer: 9204096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b\/(b\/(b**(-2\/5)\/b)))*b\/b**(1\/4)*b\/((b*b**(5\/3))\/b*b)*b**(2\/17)\/b assuming b is positive.\nAnswer: b**(-407\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162033 + -93039. What are the prime factors of l?\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -1. Let t(m) = m**2 + 2*m - 18. Let y be t(-6). Let h be -3 - (4\/(-4) + -5). Which is the fourth biggest value? (a) h (b) -1\/4 (c) z (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*x**2 - 50461*o*x - 18033*x**2 + 5*x + 1 with respect to o.\nAnswer: x**2 - 50461*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + 1 + sqrt(612) + 3)**2 - (4*(-2 + sqrt(612) + 0 + sqrt(612) + sqrt(612)))**2) + 1.\nAnswer: -2352*sqrt(17) + 175153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 587.1124 kilometers?\nAnswer: 587112.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h**3 - h)*(-3*h**2 - 3*h**2 + 4*h**2) + 2*h**5 - 3*h**5 + 0*h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 16 + -21 - 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 23888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 3. Let n(g) = g - 10. Let s be n(0). Let t be 104\/s + 2\/5. Let j = -15 - t. Calculate l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = -2*q, -37*d + 4*q = -38*d - 6. Suppose 0 = 4*g - 8 + 28. Let m = g + 5. Solve m*y - d*y = -2*u + 8, u - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101281, 202364, 303447?\nAnswer: 404530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5*j**4\/66 - j**3\/11 - 2*j**2\/11 - 3*j - 2. Let x(n) be the first derivative of a(n). Solve x(m) = 0 for m.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5401 (b) -196 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let p(w) = -3*w + 2459. Give v(p(h)).\nAnswer: 18*h**2 - 29508*h + 12093362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 570.1732 millimeters?\nAnswer: 57.01732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 99 = -1635. Suppose 107*s + 35 = g*s. Which is bigger: -22 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**4 - 968*s**3\/3 + 46*s**2\/3.\nAnswer: 2*s**2*(s - 23)*(21*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u**2 + 56 + 2*u**3 + 79 + 69*u**2 - 28 + 7 - 226*u = 0.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44593 - 30292. List the prime factors of z.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + -4 + 5 + 1. Let c = 87.6 - 72. Let w = c - 16. What is the fourth smallest value in o, 1\/3, -3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -25.9616, 5?\nAnswer: -25.9616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 61. Let h be q(-19). Suppose 5*v - 8550025 = h*z - 7*z, -3*v + 2850015 = z. What is z rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 277 = 31*v, 6520 = -5*v + 4*n + 6479 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - 5*g**2 + 2*g**2. Let h(r) = 10 - r - 10. Calculate b(h(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4346204 divided by -3?\nAnswer: 4346204\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 739117629 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*h + 229, 0 = -2*l - l + 9. Suppose -9*u - h = -j - 6*u, -5*u - 241 = -2*j. What is the remainder when j is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 2)*(-13 - 9 + 6)*(-2 - 2 + 5)*(0 - x**3 + 0).\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 1020?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/69763248 and -23\/42?\nAnswer: 488342736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 462441900 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -1, -1\/11, -0.14 in decreasing order.\nAnswer: 5, -1\/11, -0.14, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/10 and -117\/17600.\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 661.\nAnswer: 2\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**3 + 10. Let m(v) = 5*v**3 + v**2 - 19. Let o(a) = -11*b(a) - 6*m(a). Let s be o(2). Suppose s = g + g. Solve -2*x = g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002171308 rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20631 + 35540. Suppose 0 = -12*y - 4193 + o. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 12 - 6 + 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 1. Let n be k(-4). Let s(f) = 9*f - 4 + 2 - 3*f + n. List the prime factors of s(14).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d + 2*d + 2*d**2.\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:49 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 5. Let g(q) = -1. Let c(y) = 5*y + 13. Let f(z) = c(z) - g(z). Determine -3*f(w) - 8*s(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 376717 and -0.1.\nAnswer: -37671.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x - 4*w, -3*x = x - 2*w + 2. Suppose -7*j - 3 + 10 = x. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -102 - (2 - (2 + 1)). Suppose -a - 5*m + 5 = 0, m + 4 = -m. Calculate the highest common divisor of o and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m - 21. Let a(u) = -11*u**2 - 25*u - 35. Let k(s) = 13*s**2 + 24*s + 36. Let b(j) = -5*a(j) - 4*k(j). Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10 - -9 - -9 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71423\/26787 + 3\/8929. Factor -1\/3*j**2 + 10\/3*j**3 - z*j + 1.\nAnswer: (j + 1)*(2*j - 1)*(5*j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18202.107 hours?\nAnswer: 758.421125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2473*y**2 - 1268*y.\nAnswer: 4946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 24 = 13*d + 6. Sort -1, d, 274.\nAnswer: -1, d, 274","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-773)\/(-4) + (-24)\/(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1180 - -1184. Solve 3*n - 15 = -u*w, -14*n - 25 = -19*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*g = 38*g + 44*g + 630 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 4694295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -50. Let j(a) = 17*a**5 - 11*a**2 - 5. Let w(k) = -25*k**5 + 17*k**2 + 7. Let l(p) = r*j(p) - 5*w(p). Find the third derivative of l(u) wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**2 - 2 + 2 + 21*m - 40*m**2 - 21*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -135. Suppose t*z - 53*z - 68 = 0. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2535*l - 619 - 2446*l + 543 - 3862 - 465*l wrt l.\nAnswer: -5446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 307 - 298 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 5:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5205 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(2)*-6)\/((sqrt(7) - sqrt(21)\/sqrt(3))*4 + sqrt(7)))**2*4.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 6*k**2 + 6. Let t(o) = -3*o**3 - 6*o**2 - o - 5. Let h(b) = 4*f(b) + 3*t(b). Give h(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166\/7, -4, 3, 0.5, -16 in descending order.\nAnswer: 3, 0.5, -4, -16, -166\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 1 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 11. Let y be ((-2)\/4)\/(10 - (-1313)\/(-130)). Let m(l) = -l + 6. Let j(v) = v**2 + 8*v + 9. Let z be j(-6). Calculate y*m(p) + z*d(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/26129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from hjhbjljjbkjbjjjjjj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 2\/13, 72, -0.12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*s - 456 + 1926. Solve 5*v + 5*c + s = 0, 2*c = 2 - 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 825809*o + 2 + 153*o**2 - 825803*o + 187*o**2 in the form w*o + i*o**2 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2602*z**2 - 14*z - 35. Let v(p) = p**2 - 2*p + 5. Let x(y) = -l(y) - v(y). Find the second derivative of x(w) wrt w.\nAnswer: 5202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*d**3 + 406*d - 9892 wrt d?\nAnswer: 30*d**2 + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -249, -374, -499, -624?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3400008 = -4*w. Suppose -3*y - 393056 = 5*i + 456938, w = -5*i + y. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, -1\/6, -2\/11, -0.2, -0.11, -16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -4)*76\/1064?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2, 1.07, -3\/2, 6\/5?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -66 + 66 - 4*y. Let h(x) = 13*x + 1. Let p(k) = -3*h(k) - 8*i(k). Is p(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsrrrs. Give prob of picking 4 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 52699 and 52703 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145360601 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2085)\/160 - ((-19240)\/2220)\/((-4)\/(-6))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 4070?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvvcvvvpvvvvpvvpp. What is prob of sequence cp?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 255*m - 4065. Calculate t(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 2*u**3 + 10*u**2 + 6*u.\nAnswer: -2*u*(u - 3)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4*u = -2*y + 2, 4*y + 10 = 3*u. Let j be 19\/7 + y\/(-14). Suppose -c - 1 = 2*a, -4*a = -j*c - a + 15. Sort c, -5, 4.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -3, -13, 4 in increasing order.\nAnswer: -13, -3, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.05. Which is the smallest value? (a) 5 (b) -2 (c) g (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/((-34)\/(136\/12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19429 - -19404. Sort 3, u, 1, 4, 5.\nAnswer: u, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473983033?\nAnswer: 359, 1320287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3751 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2*c)\/(c\/(c*c**(1\/3))))\/(c\/c**(2\/5))**(7\/5)*(c**3*c*c*c**(-3\/8))**22 assuming c is positive.\nAnswer: c**(31573\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129263, 258525, 387787, 517049?\nAnswer: 646311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 4 + (105\/(-12))\/(-5). Let i = -11 + 8. Let f be 2 + i + 1\/1. Which is the nearest to 0? (a) f (b) u (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z + 339 + 136 = -205 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -20 (b) 0.2 (c) 4 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -5. Let v(w) = -w - 1. Let m(z) = -z**3 + z**2 + z. Let q(j) = -4*j**3 + 2*j**2 + 7*j + 7. Let i(a) = 2*m(a) - q(a). Determine p*v(h) + i(h).\nAnswer: 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 1, c: 2, z: 2, r: 6, w: 1, n: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1460 and -11\/65700.\nAnswer: 65700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3, -6*j - 1625 = -4*p - 9*j. Let v = 49 - 215. Let m = v + p. What are the prime factors of m?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012471 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = 3*k + 3*l, -2*l = -5*k + 36. Put -4, k, 0 in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-14)*616\/(-330)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 57 - 49. Suppose y - 7 = -j, -4*j + p*y + 28 = -0*j. Which is the nearest to -1? (a) -1\/5 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-4))\/(59\/236)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.796 + -21.796. Which is the nearest to 1\/4? (a) -2\/3 (b) g (c) -81\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16168 by 4042.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let k = w - -2. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Suppose -q + 4*q = 6. Let z(v) = -4*v**q - 4*v**2 + 6*v**2. Give x(z(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 207256139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 422*p**3 - 1575766*p**2 + 1471027970*p - 62742402 = 0.\nAnswer: 9\/211, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 44. Suppose -l*f = -4*f - 68. Let a = -7 + f. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -57, 67, 263, 543, 919, 1403?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 99536310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {l: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4380 and 190019.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4878 (base 14) to base 12\nAnswer: -73a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*z**3 - 2*z - 58*z**3 + 2*z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 370*f**4 - 496.\nAnswer: 1480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2 + 2*s**2 - 21*s**2 + 0*s + 5*s**5 + 10*s**4 - 5*s.\nAnswer: 5*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:44 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -40577.\nAnswer: -3\/40577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (57 - 35) + (1 - 0) + (21 + -2 - 8)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1460)\/(-360) + (-24)\/108?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**3 - 2*l**2 - 8. Let o(w) = 29*w**3 + 7*w**2 + 26. Determine -7*h(j) - 2*o(j).\nAnswer: 5*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1708*f**5 - 2668*f wrt f?\nAnswer: 34160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 16*s - 7. Let i(b) = -b**2 + 8*b - 4. Let n(q) = 7*i(q) - 3*p(q). Let t = -14 + 20. Suppose t*f = f + 25. What is n(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 336 + 328. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16272 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-1 + -11*11). What is the units digit of n\/14 - (-12)\/42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by (-1)\/(-3) - (650\/(-30) + 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**7\/(((o*o**4*o)\/o)\/(o*(o**(1\/4)\/o*o)\/o)) assuming o is positive.\nAnswer: o**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -32. Let g = i + 9.3. What is the biggest value in -1\/8, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6550 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15489.92 - -15490. What is the second biggest value in -2\/21, -1\/2, h, -1\/9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -44*f - 56. Let l(d) = -18*d - 19. Let z(m) = -37*m - 38. Let s(o) = -7*l(o) + 3*z(o). Let j(n) = -6*p(n) - 17*s(n). Is 15 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 794.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 13*f = -11400. Let r = 2378\/5 + f. Sort 0.11, r, -0.1, -3\/7.\nAnswer: -3\/7, -0.1, 0.11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 + 29*v - 15*v - 15*v + 38*v**2.\nAnswer: 45*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 126 = 4*g. Suppose 5*u = g - 24. Let k(s) = s**2 - 5*s - 7. Calculate k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 266, 437, 610, 785?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*p = -3*p - 10, -2*x + 2 = 3*p. Let v(a) = 12*a**2 + 17*a - 5. Let k(l) = 3*l**2 + 4*l - 1. Let n(h) = x*v(h) + 9*k(h). Calculate n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34447838 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 - 9*s**2 + 80*s + 127. Let j be r(12). Calculate the highest common factor of 148 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11401.76 millilitres to litres.\nAnswer: 11.40176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 2, w: 5, p: 1, d: 10, t: 1}. Give prob of picking 1 e, 2 q, and 1 d.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:20 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*s - 53*b - 62*b + 119*b - 4138, 2*s + 260 = -3*s + 2*b for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25149, 32124, 43749, 60024, 80949?\nAnswer: 106524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685288789.\nAnswer: 19, 36067831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 8, r: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8*h - 2*u = 28, -16 = -4*u. Let b(o) = 2*o - 2. Let k be b(2). Calculate the least common multiple of h and 1 + -1 + 2 + k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -72 + (5 - 1 - -4) + -34 + 28\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*b - 222*b + 104*b)*(10 - 5 - 28)*(-3*b + 2*b - b).\nAnswer: -552*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232862067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 7, -174, -2 in descending order.\nAnswer: 7, 5, -2, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 3*o**2 - 17*o - 13. Suppose 9 = -11*z + 12*z + 3*u, 3*z - 2*u + 28 = 0. Let s be h(z). Is s <= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x = 62*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -10*t + 14*t + 2*l, 2*l + 14 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/20 + x**4\/12 + 19*x**2\/2 - 776*x. Suppose 0 = -v + u + 5, 3*u - 20 = -3*v + 7*u. Determine t(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8*(80\/4)\/(-5). Let j be -1 + (-3 - l) + 16 + 1. Solve 3*k = 3*n - 3, -2*k - j = -3*k - 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479132.\nAnswer: 2, 119783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 929, 911, 877, 821, 737?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 12.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 97*l**2 - 33*l + 32. What is v(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1897 + -645. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.3 + 47.3. Suppose -4*c = 5*w - w + 20, 5*c + 7 = w. Let f = 0 - -0.4. What is the smallest value in p, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 129*n**3 + 5*n**2 - 5*n + 18. Let a(u) = 64*u**3 + 2*u**2 - 2*u + 9. Let w(q) = -5*a(q) + 2*b(q). What is the derivative of w(f) wrt f?\nAnswer: -186*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*-1*sqrt(684)*3)**2 + 0.\nAnswer: 360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (2 - 2) - 0. Solve d*t - 7 - 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*v + 9, 5*v - 3*m - 7 = 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -31, -95, -231, -463, -815, -1311?\nAnswer: -1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 2*z**2 + 1 - z**2 + 2*z + 0*z - z**3. Let u be (1\/(6 + -3))\/((-2)\/(-36)). Let b(j) = -7*j**3 + 6*j**2 - 7*j + 6. Calculate u*w(x) - b(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6))\/((-3)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i - 2. Determine q(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + (sqrt(243) + 1 + 2*sqrt(243) + sqrt(243) + 6*sqrt(243)*2 - 1*(sqrt(243) + ((sqrt(243) - sqrt(243)*-1) + 1 - sqrt(243)) + sqrt(243)))*4)**2.\nAnswer: -936*sqrt(3) + 657077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*c, -8*v + 3*v + 985 = 5*c. Let n = v + -104. Suppose n = 4*a - 197. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -1056.\nAnswer: -739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2667 and 4767.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -30.1\nAnswer: -120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8649710*d**3 + 16401499*d**2?\nAnswer: -51898260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-2 - 0) + 14. Let h = -202 + 262. Calculate the greatest common factor of h and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12802 + -5897. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.8319 + -6.89. Let s = 0.058501 + x. Round s to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110)\/sqrt(2) + (sqrt(55) - sqrt(385)\/sqrt(112)))*-2)\/(-2*(sqrt(11) + (sqrt(44)\/sqrt(4) - sqrt(11)))*-6*-6).\nAnswer: -sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**4 + 4*m**4 + m**4)*(-4 + 6 - 4) - m**4 - m**4 + 3*m**4 + m**4 + m**4 + 0*m**4 + (26 + 6*m**3 - 26)*(1205 - 506 - m - 431).\nAnswer: -m**4 + 1608*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 13)*(2*k - 2 + 2) in the form s + y*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -48, -41, -14, 33, 100, 187?\n\"Answer: 10*t**2 - 43*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 2394?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 15*t - 39. Let g be w(-17). Sort -0.3, g, 7 in decreasing order.\nAnswer: 7, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -52. Let h be 1\/(-5) + 1*(-96)\/f. Suppose 3*w - h*a = -0*a + 351, -3*a + 15 = 0. What is the remainder when w is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5323320 divided by 106\nAnswer: 50220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1219334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39312 and 461916?\nAnswer: 1847664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22226.17 millennia?\nAnswer: 222261.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.423858ml?\nAnswer: 0.001423858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*o - 1 - 4*o**2 + 145*o + 3*o**2 - 2*o**4 + 195*o to z*o**3 + r*o + h*o**2 + i*o**4 + f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -1120, -1671, -2222, -2773?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -197*(-8 + 2 + 5) is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*x + 30 = 0, -j + 5 = j + 3*x. Let n(h) = h**2 - 2*h - 5 + 6*h - h. Give n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-2\/11)*t)\/t*t*t**(-5)*t)\/(t**(-2\/31)\/t*t**(-2\/9))*(t\/t**(-1\/4))**42\/(t**0)**(-14) assuming t is positive.\nAnswer: t**(322889\/6138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 4*b + 4*b)*(-b**2 + 0*b**2 - b**2)*(0 - 3 + 2)*(-b + 35 - 35 + (-3 + 1 + 3)*(b + 0*b + 2*b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2004 divide 5192364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 - 4*t - 4. Suppose -5*r = -3*r - 6. Let q be f(r). Let j(v) = -v**3 + 3*v**2 - 3*v. Determine j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 5*u**2 - 7*u**2 + 11*u + 0*u**2.\nAnswer: 2*u**2 + 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - z - 2*z)*(660*z**3 + 3*z + 193*z**3 - 3*z) to the form d*z + p*z**4 + a + v*z**3 + l*z**2 and give p.\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (150\/(-250))\/(1\/(-955)). Suppose -o + 2*d = -p, 5*o - 4*d - 1501 - 1358 = 0. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 2 + 1\/6*x**3 - 1\/2*x - 1\/4*x**2 + 1\/8*x**4. Factor t(a).\nAnswer: (a - 1)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-6)\/(-5))*4047\/40470?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 16. Let b(f) = 1 + a - f - 2*f. Let c(y) = -13*y + 7. Let s(g) = -39*g + 20. Let o(q) = 7*c(q) - 2*s(q). Give -18*b(k) + 4*o(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttzvqqrrqrqrnqqt. Give prob of picking 2 q.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006617 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/6435 and 5\/46761.\nAnswer: 701415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 453818341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20068*j**2 - 20066*j**2 + 4 - 4.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - p - 12 = 0, 3*p - 8 = -3*o + 1. Let g(u) = -11*u - 5. Let i(f) = 4*f + 2. Let t(j) = -3*g(j) - 8*i(j). Let w be t(o). Sort 3\/2, w, 2\/3.\nAnswer: 2\/3, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180548, -360907, -541072, -721037, -900796, -1080343?\n\"Answer: m**3 + 91*m**2 - 180639*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.1 + -1.87?\nAnswer: -51.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1664*b**3 + 39200*b**2 + 236778*b + 69192.\nAnswer: 2*(8*b + 93)**2*(13*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/312)\/(1*(-5)\/2440)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t**2 - t**2 - 2*t**2 - 8 + 12*t. Let s be p(11). Solve -5*q = -2 - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 12, -4*c + 32 = -4*m. Let o = 321 - 198. Let h = -132 + o. Sort 2, m, h.\nAnswer: h, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, e: 1, r: 2, b: 1, x: 3}. Give prob of picking 1 e, 1 x, 1 b, and 1 k.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(1\/3))\/y)*y)**(28\/3)\/(y**(-1\/2)*y**5) assuming y is positive.\nAnswer: y**(199\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {b: 4, q: 3, e: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, -9450 in decreasing order.\nAnswer: 5, -3, -5, -9450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -942 - -409. Let p = 940 + u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2762*j + 5136*j + 3131*j + 104595 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from getggegeempo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 18*x**2 - x + 26. Determine d(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 16 - (-353 + 333 + (9 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 14*s + 36. Let i be z(-11). Let w = i - 60. Let p(n) = n**3 - 8*n**2 - 7*n - 15. Let d be p(w). Solve 0 = -d*r + 5 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -876, -1754, -2632, -3510, -4388, -5266?\n\"Answer: -878*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b**(-1\/5)*b)\/b)))\/b*b**(-6)*b)\/(b**(-1)\/b**(-2\/13))*(((b*(b**(6\/5)*b)\/b*b)\/b*b)\/b**(3\/10))**48 assuming b is positive.\nAnswer: b**(1740\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 48*m**2 - 47*m - 93. Let c be r(49). Solve 0 = 4*f - c*f + a + 4, 0 = -5*a + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 3365\nAnswer: -49\/3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-4)\/2))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1057 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.94 - -49. Let k = d + 6.24. Let w = k + -5.3017. What is w rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16517 - -16446. Which is the smallest value? (a) q (b) 0 (c) -18 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224\/13933 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1244608 rounded to four dps?\nAnswer: -0.1245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + 4 + (-6*(-6*sqrt(68)*-1 + sqrt(68) - sqrt(68)))\/(sqrt(64)*5*-6).\nAnswer: 3*sqrt(17)\/10 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -1. What is the least common multiple of r and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:56 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.002 less than 484260665?\nAnswer: 484260703.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139434*b**3 + 195*b**2 - 56*b - 1 wrt b.\nAnswer: 836604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/200 and 14\/(-100)*1666\/(-196).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -5 (b) -1\/3 (c) -1 (d) 2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -800 + 799.56. Let l = -30 + 29.46. Let z = l - p. What is the second smallest value in z, 23, -1\/5, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) + 1*sqrt(240) + sqrt(15))\/(sqrt(3) + 1*sqrt(363)) + 3.\nAnswer: 3*sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/(-10))\/(5\/(-25)). Let w(u) = -u**2 + 43*u - 146. Let p be w(39). Is 40\/b*4612\/p + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 237\/4. Let v be -2*(21\/6)\/(-1). Suppose -v*s - 5 = -6*s. Which is the second smallest value? (a) d (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 782*u - 772*u + 50 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*c + 6*g - 81, -g = 4. Suppose -5*s + 5 = 0, -c - 81 = -3*v - 4*s. Calculate the highest common divisor of v and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7830.38 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 26*o**2 + 44*o + 149. Let u be h(28). Which is smaller: u or -749\/4?\nAnswer: -749\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 481, 484, 487?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2736 or 29\/10?\nAnswer: -0.2736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 5*r**2 - 5*r + 4. Let z(j) = -j - 1. Suppose 5 = -3*d + 14. Let v be -5 + -1 + 6\/d. Let h be z(v). What is p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b**4 - 7*b**2 + 6*b**4 - 6*b**2 wrt b?\nAnswer: 336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1 - 1 - 5*v - 3*v. Let b(q) be the second derivative of q**3\/3 - 20*q. Calculate b(l(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/5 - 86*d**3 - 2192*d**2\/5 - 352*d = 0. Calculate d.\nAnswer: -4, -1, 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19728 > -19727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -186.\nAnswer: 14\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.344679 years in centuries?\nAnswer: 0.04344679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/1*1\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/2 - 9 - -2409. Suppose n + 5*o = 367, -5*o - v = -4*n - 986. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-51*m + 51*m - 104*m**2)*(4 - 4 - m).\nAnswer: 104*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + -81.45096?\nAnswer: -138.45096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:21 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 - -285. Suppose p*x - 94 = -40. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-15)\/n**(2\/21))\/(n**(-16)\/n**(-5\/7)) assuming n is positive.\nAnswer: n**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27. What is the closest to p in -6\/7, -4\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112431403130 - 3?\nAnswer: -112431403133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - l - l + (-3*l + 6*l - 5*l)*(-3 + 6 + 1) + 4*l - 13*l - 11*l to k + o*l and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)*(-62006)\/(-4532) - 28?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - 0\/(-2 - -3). Let a(z) = -z**3 - z - 5. Let o = 28 + -14. Let l(x) = 2*x**3 - 3 + x + x + o. Give d*a(w) - 3*l(w).\nAnswer: w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-1)\/(-18)). Suppose -5*u + 11 = 56. Let h = u + 18. What is the highest common divisor of j and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 266 = s + 331, 0 = -4*v + 5*s + 73 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*c - 18*c - 26*c + (-1 - 1 + 4)*((4 - 2 - 3)*(-c - 5 + 5) - 3*c - 23*c + 5*c) + 6*c - 3*c - c.\nAnswer: -63*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9915672529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -520011 divided by 171\nAnswer: -3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r + 2. Let j be ((-3)\/2)\/(21\/(-266)). Let d = -12 + j. Determine q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (7\/(-2))\/(2\/(-4)) and (-4)\/(-6) - (-21)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*m**2 - 8 + 8 - 307*m**2 in the form y*m + v*m**2 + f and give v.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23834 is divided by 728.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17*p + 56. Let q be n(-3). Sort -151, 3, q.\nAnswer: -151, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12756 + -2509. Let s = 17447 - j. What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Suppose -2 = -5*d + 3*u - 0, s*d - u - 3 = 0. Let j = 2212.3 - 2212. Which is the nearest to d? (a) -4 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/18*(-53)\/(-6) and (-2)\/5*69\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -170 and -673032?\nAnswer: 114415440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - -325. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/12*16\/6. Suppose -94 = -2*h + 5*q, -2*h + 130 = -0*h + i*q. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72863.\nAnswer: 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37431342 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 339144189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*w = 288, 3*w - 5 = 7. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 0 + 0 + (-3*x + 2*x + 2*x)*(0 + x + 0) - 3*x**2 + 4*x**2 + 0*x**2 + (-7*x**2 + 5*x**2 + x**2)*(-1 - 1 - 3).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2320.\nAnswer: 1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1730.2708 times -3?\nAnswer: 5190.8124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*s + 34 = 128, -5*s = 3*a - 38. Suppose 1 = -4*w + a. Let v be (1\/2)\/(13\/130). What is the greatest common divisor of w and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftfddttfft. What is prob of picking 1 f and 1 t?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/344 and 65\/14.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -83*t + 2829. Give w(95).\nAnswer: -5056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*v - 18*v + 98*v to the form i + t*v and give t.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1761870 and -79\/37092.\nAnswer: 3523740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.17169l?\nAnswer: 55171.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/90 + 4*a**2\/15 - 8*a + 29. Let x(h) be the first derivative of k(h). Factor x(y).\nAnswer: -2*(y - 2)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 609, 716, 689, 528, 233?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 2. Suppose -3*g + 1537 = -z*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 59. Solve -v = 4*f - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-20) + 24\/(-60). Let t be -4 - (-2 - (2 - 2)). Let k be ((-1)\/(-3)*0)\/t. Which is the smallest value? (a) k (b) -2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253058 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 4\/(1*14\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 6*k**3 + 2*k**3)*(-31*k - 24*k + 187 - 39*k + 103*k) to b*k + g + m*k**2 + l*k**3 + z*k**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237795 divided by 191?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Find the second derivative of -a*q - q**4 + 5 - 5 wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -24. Suppose w*d - 186 = 1374. Suppose -d = 3*o - 8*o. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4853\/9 + -536. Calculate the common denominator of -56\/39 and x.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 0, 4, 12 in increasing order.\nAnswer: -3, 0, 4, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Solve t*z + 31 = 4*y, -4*y - y = -2*z - 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(9\/12) - -1. Suppose p = -q*w - 13, -4*p - 4 = -4*w - 0. Let r be 25\/4 + p\/12. Solve -r*k - 8 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-16 + 10)) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 873857 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 2, m: 2, b: 1}. What is prob of picking 2 z, 1 m, and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2605392\/7 or -372200?\nAnswer: -2605392\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 + 7*p - 4. Let y be z(3). Solve -4*k - y = -w - 3, -15 = -3*w - 5*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/3 - 38980634*s**2\/3 - 155922560*s\/3 - 155922568\/3 = 0.\nAnswer: -2, 19490321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -34 + g - 34 - 29 + 101. Let b(d) = -2*d - 2*d + 7 + 6*d. Let p(a) = a**3 + 5*a**2 - 5*a + 3. Let s be p(-6). Calculate s*b(r) + 5*k(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i + 151*i - 1452 = -45*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(7\/28) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 440 + -109. What are the prime factors of g?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 19*a + 163. Let b(n) = 89*n**2 - 274 - 59*n - 213 - 103*n**2. Let t(z) = 3*b(z) + 8*c(z). Differentiate t(s) wrt s.\nAnswer: -4*s - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 + v - 1. Let b be 165\/35 - 4\/(-14). Suppose -4*q + 4*s = -0*s + 4, -b*s = -4*q - 3. What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*g**2 - 52*g**2 + 83*g**2 + 25*g**2 to the form u + m*g + x*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < 147535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29177, 58333, 87487, 116639?\nAnswer: 145789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*f = -252*f - 2212 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*w + 140*w - 24. Solve u = w*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(594\/(-16)))\/((-291)\/(94284\/(-7344)))?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*g**3*r**2 + 8*g**3*r - 2*g**3 - 34*g**2*r - g**2 - 6*r**2 + 6 wrt g?\nAnswer: 396*r**2 + 48*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 2 + sqrt(99) + -1)*-4)**2 + (sqrt(11) + -2)*-2 + 3*sqrt(33)\/sqrt(3) + 4.\nAnswer: 193*sqrt(11) + 6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + i**2 - 2. Let f(v) = 3*v**3 - v**2 + 3. Let k be (-12)\/(-3)*7\/(-14). Let u be -3*(-1 + (-4)\/k). Determine u*f(t) - 4*y(t).\nAnswer: -t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*p + 291 + 411 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-90)*3190\/16588?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + -5. Let r = -12.9 - j. What is the biggest value in 2\/9, -0.2, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-8))\/(8\/32))\/(13\/(-52))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*w - 3 = 64, 5*w - 139 = -4*t. What is the highest common factor of t and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*-1*sqrt(432) + 2)*2)**2.\nAnswer: 6144*sqrt(3) + 110848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/5, 5, -0.5, -4479?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - -52.7. Let o = i + -50. Which is the third smallest value? (a) 0.7 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/54)\/(((-1)\/(-1))\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -130239 * 3236\nAnswer: -421453404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 2*m + 2. Let a be p(1). Calculate the common denominator of 64\/9 and a\/18 + (-14)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20893 and 136.\nAnswer: 167144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689290941?\nAnswer: 3, 10973, 20939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 8*s**2 + 14*s + 10. Let p be a(-10). Let h = p + -35. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-7))\/((-3)\/21). Let c(n) = n**2 + 6*n. Let s be c(q). Solve -3*f - u = 2*f + 21, 2*u - 8 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470670 - 393173.\nAnswer: -863843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -2. Suppose -2*c = -159 + 107. Suppose 0 = -c*z + 23*z + 264. What is the highest common divisor of z and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(68\/6)*(-208)\/(-198120)*127.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 3*j**2 - 3*j**5)*(-2 - 2 + 5).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2, -1\/2, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(-47*i - 39*i + 87*i + 95).\nAnswer: 4*i + 380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177.7723 and -4?\nAnswer: 711.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 15890364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3864356)\/(-467929) + (-118)\/(-413). Let j = i - 504\/59. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 702 - -4 - 6. Calculate the highest common factor of d and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1762 + 52611. Does 41 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 98926256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3, -5*a + 11 = 2*g + 2*g. Suppose -g*d + 2 = -2*d. Solve 4*l + d - 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18504675 to the nearest integer?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-35) - 1\/(-5). Let i be ((-6)\/(-4))\/(g\/32). Let h be (164\/10 + -2)*10. What is the highest common factor of h and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 44*q**3 - 96*q**2.\nAnswer: -4*q**2*(q - 8)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzz. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/5)*m)**(-25)*((m**(1\/30)\/m)\/m)\/(m\/m**(-1\/48)) assuming m is positive.\nAnswer: m**(-5839\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hhhhhhww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 9. Let n be m(-3). Let w(c) = -11*c + 27. Let b be w(n). Solve 5*j - b + 7 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041376793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88401691 to the power of 1\/2, to the nearest integer?\nAnswer: 9402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 45 = -3*s, 4*s - q - 67 = -26. Let c(h) = 3*h - 5. Calculate the least common multiple of s and c(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 71936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8350*g = 8346*g, 264*o = 3*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 32*s**4\/13 - 198*s**3\/13 - 6332*s**2\/13 + 21162*s\/13 - 288 = 0?\nAnswer: -13, 3\/16, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10868 + -32594\/3. What is r in 26\/9*r - 2\/9*r**3 + x*r**2 + 4\/9 - 10\/9*r**4 = 0?\nAnswer: -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 559, 4, -4, -3 in decreasing order.\nAnswer: 559, 17, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**8\/105 + 15*g**4\/8 + 2*g**3\/3 + 43*g. Let b(x) be the second derivative of h(x). Differentiate b(w) with respect to w.\nAnswer: -64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (1*sqrt(272))**2*-4 + (sqrt(272) - (1*sqrt(272) - sqrt(272)))*-6 + 5).\nAnswer: 48*sqrt(17) + 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 16*y + 2. Suppose 11*x = 6*x + 2*j - 29, 5*x + 2*j + 41 = 0. Let m(c) = -3*c**2 - 48*c - 7. Determine x*t(b) - 2*m(b).\nAnswer: -b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 0*t**2 + 2*t**2 + (4*t + t - 3*t)*(5 - 5 - 7*t) - 4*t**2 + t**2 + 2*t**2 in the form x + c*t**2 + a*t and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -113, -205, -297?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 3 + 5 + (30 - 15 - 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v + 12. Let b be ((-39)\/(-9) + v)\/((-2)\/(-60)). Suppose b*r - 14*r = -28. What is the lowest common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 33*i + 8. Let w be d(-33). Solve 26*t - w = 30*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h**3 + 0 + 0*h - 1\/12*h**5 + 0*h**4 + 10*h**2. Let z(u) = 6*u**2. What is z(c(d))?\nAnswer: 150*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let o(y) = -y - 1. Let v = -3 + 3. Let c be v\/(4\/(-8)*-2). Suppose -5*s + 3*i = 7*i - 11, s - 4*i + 17 = c. Calculate s*q(k) + o(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 8*h + 3. Let b(s) = -2*s**2 + 10*s + 4. What is -2*b(k) + 3*z(k)?\nAnswer: k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113.58 + 131.1. What is v rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, -48, 5 in descending order.\nAnswer: 5, 4, -22, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/5 + 11\/5. Which is the closest to -1? (a) -0.5 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4395325 kilometers?\nAnswer: 439532.5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xux.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222116 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8881)\/(-3652)*4*(-1 + 15\/14) and 31\/826.\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299 (base 15) to base 16.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 59*h - 1752. Let b be g(27). Sort b, -1, 1 in decreasing order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:09 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25.088 * -6087\nAnswer: 152710.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 5)*(c - 2*c + 0*c) + 17*c + 34 - 34)*(-4*c + 3*c + 6*c)*(9*c + c - 2*c).\nAnswer: 640*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19779519 is divided by 1258.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 3*a**4 + 28*a**3\/3 + 16*a**2 + 75*a. Let i(t) = -t**3 - t + 1. Let d(z) = 4*i(z) - q(z). Find r such that d(r) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38\/266 + 21810\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, z: 3}. What is prob of sequence uu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + 10 - 29 - 35) + 1 + 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*y + 7. Let m be (5 + -2)\/((-3)\/y). Suppose -m*p + 54 = 4*j - 168, 3*j - 171 = 3*p. Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:10 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4051\/5 or 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -114, -274, -502?\n\"Answer: -34*q**2 + 10*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13680, 27357, 41034?\n\"Answer: 13677*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 + v. Let c(j) be the first derivative of 5*j**2 - 141766. What is c(b(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -136*t + 15912. Give b(117).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -3*d, 4*k = d - 1 - 3. Suppose 4*a - 4 = -k*a. Suppose a = q - 20. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 6727.\nAnswer: -3\/6727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(36)\/sqrt(3)*-2*-5.\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-17)*12\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229244*k**4*u - 60847*u wrt k.\nAnswer: 916976*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = 44*c + 56 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10679*f**2 + 13*f + 15. Let d be r(-1). Let p = 120 + d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/144*16)\/(8\/88).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1555 divided by 17\nAnswer: -1555\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/(1\/6). Solve -w - w - o = 1, -f*o = -4*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035 and 26765.\nAnswer: 936.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*-6*4\/180*-15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -458, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -31*n + 740. Let f be z(29). Which is greater: -1424\/9 or f?\nAnswer: -1424\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ad5 (base 16) to base 9\nAnswer: -41457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7)*d)\/d)**2*(d*d**(-9)*d)\/d*d\/d**(-4) assuming d is positive.\nAnswer: d**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*i + 0*i = 1045, 4*i - 1041 = -y. What is the greatest common factor of 50 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8)*3)\/((-2746)\/10984).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.4 (c) 31 (d) -1\/3 (e) -0.54 (f) -217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 90 = -12*i. Suppose 3*j + 2*k - 385 = k, -i*j + k = -647. Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 899.\nAnswer: 1\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 at most 374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*-238\nAnswer: -61.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10367\/17 - -610. Which is the biggest value? (a) -0.6 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 169 + 676 = 0. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 32*h + 42. Let y(v) be the first derivative of -v**3\/3 - 5*v**2\/2 + 4*v + 1. Let w be y(h). Which is the smallest value? (a) w (b) -1 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r. Let b(y) = -2*y**2 - 2*y - 1. Let a(h) = b(h) - 2*u(h). What is a(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 63. Let c = -1.5 + -1.5. What is the nearest to -2 in 2, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*f = -229*f + 113*f + 5, -2*j = -4*f + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4633*p + 2. Let n(h) = -31749981*h + 13707. What is 2*n(t) - 13707*s(t)?\nAnswer: 4569*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2088, -4176, -6264, -8352?\n\"Answer: -2088*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44\/31 - -1786\/341. Find the common denominator of c and 4\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 410, -3, -1 in decreasing order.\nAnswer: 410, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let c be 3\/(p\/((-8)\/(-6))). Suppose 0 = -x + 1, -5*x + c*x = 2*o - 7. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2026, 17.\nAnswer: -2026, -3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 3, 1 in descending order.\nAnswer: 3, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682893 + 12910644?\nAnswer: 11227751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -7 + (8 - (5 + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25278 (base 12) to base 13\nAnswer: 19ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 136470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -31426604?\nAnswer: 31426600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1 - -5) + -2. Let b(o) = 7*o - 7. Is b(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - k + 2. Let g be d(-2). Let o be 2\/5 + (-68)\/g. Let q be (-2)\/o + (-4)\/6. Solve q*j - 2 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from xzmxzfezxemcmxxzxem?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 26. Find the second derivative of -12*z**5 + 4*z**4 - 9*z**4 - 31*z + 5*z**q wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2\/2 + 2. Let d(q) = -90*q - 5702. Let i(o) = 30*o + 2073. Let g(s) = -4*d(s) - 11*i(s). Give w(g(n)).\nAnswer: -30*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80 + 236\/3. Suppose 3*l = -2*s - 7, 23 = 3*s - 5*l + 5. Put s, r, 3\/4 in ascending order.\nAnswer: r, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one halves of a micrometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*w = -6, 5*y + 167 = 6*w + 164 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**4 - 160*g**3 + 5*g**2 + 3*g + 6. Let r(k) = -k**4 + k - 3. Let w(b) = -2*r(b) - z(b). Find the third derivative of w(n) wrt n.\nAnswer: -48*n + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 464.\nAnswer: -9\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*c**2 + 2 + 294*c**2 - 2.\nAnswer: 838*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 339. Determine y(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 3. Let o(t) = -2*t - 1. Calculate 2*c(l) - 5*o(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 56*y**2 - 11*y + 145. Is x(9) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4293 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.096 + 0.196. Which is smaller: k or 1.65?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1545 - -2615. What are the prime factors of a?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*l - 463*l = -608*l - 14361 - 3867 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 9*s**2 + 10*s - 5. Determine i(-9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1789\/8 - 223. Let v be (4\/(-7))\/(38\/14 - 3). Which is the closest to -1? (a) v (b) 4\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223813 - 83\nAnswer: 223730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 + 5*h + 5. Let p(l) = l**3 - 3*l**2 - 3*l + 1. Let s be p(4). Let r(q) = -3*q**2 + 4*q + 4. Suppose 5 - 9 = x. Calculate s*r(f) + x*k(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 3*x**2 - 10*x + 102. Calculate o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 2*z**2 + 3*z - 12. Let h be (11 + -12)\/((-2)\/12). Let w be s(h). Suppose 7*m = 12*m - w. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 112 = -382. Let t(z) = z**2 + 3*z - 104. What is the remainder when b is divided by t(-14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2. Let v be 8\/10*35\/14. Suppose 2*j - 2 = -2*g, -4*g = -v*j + g + 9. Let r(k) = 5*k**j + k**2 - 3*k**2. Determine r(f(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mommccczmmmdmmdmz. Give prob of sequence omz.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 18 = 2*v. Suppose 2 = 3*j + 14, -2*n + j = -v. Calculate the remainder when 45 + 1 + 1 + -3 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.1 (c) 16 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-636)\/(-54) + -6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -11*y**2 + 1788. Let m(k) be the third derivative of -k**4\/24 + 3*k**2. Give x(m(w)).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 5*z + 52, 28 = d + 5*z. Solve -7*p + d = 43 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4831\/1690 - 7\/169. Calculate the common denominator of -55\/9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 6*s - 5*s)*(-12*s - 8*s - 23*s)*(1 + 2 - 1) in the form z + r*s + m*s**2 and give m.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(-1)*(111\/8)\/(-37)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97606, -98311, -99482, -101119?\nAnswer: -103222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.86826351 to 0 decimal places.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 874 - 871. Let r(s) be the first derivative of 0*s + 1\/2*s**2 + 0*s**t - 2*s**4 + 1. What is the second derivative of r(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1\/(((-1)\/2)\/(-1))). Let h(s) be the second derivative of p + 1\/2*s**2 + s - 1\/6*s**3. What is h(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/30)\/(2\/(-30)). Suppose -5 - s = -3*c, -n + c = 2. Solve y = 1 - n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4451465*g**4 + 18*g**3 - 4*g**2 - g - 19865647?\nAnswer: -106835160*g + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:54 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = s, -30804*s + 30807*s + 51 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytyy. What is prob of sequence yt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -13 + 85. Suppose 0 = 5*f - 3*y - p, 0 = 6*f - 2*f + 5*y - 34. Solve 0*n = 2*n - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -760 divided by -2\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7319 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 2*g + ((-3 + 3 - 1)*(-3 - 2 + 3) + 1 - 2 + 3)*(3 - 3 - g) to the form p*g + s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-10 - -7)) + -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2069, -2126, -2289, -2612, -3149, -3954?\nAnswer: -5081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 364564135?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (1*sqrt(125) + sqrt(125))) + -5*(0 + sqrt(5)))**2 - sqrt(60)\/sqrt(192)*2.\nAnswer: -sqrt(5)\/2 + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 f, and 1 l when four letters picked without replacement from {l: 1, h: 6, b: 3, f: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1277 - -1277. What is the nearest to u in -169, -0.5, -0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37306 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1539413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*((-12)\/3 + 2). Suppose z*u - 15*u = 0. Let t(s) = -s**2 + 2*s + 2. Let g be t(3). Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 335\/3. Factor b*a**2 + a + 2\/3.\nAnswer: (a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6723 and 1066028013.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*i + 43. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ebe (base 15) to base 9.\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 64 = 4634. Let c be 12*(-5)\/((-15)\/54). What is the highest common factor of c and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -5*t**3\/3 + 25*t**2\/2 - 16. Factor f(k).\nAnswer: -5*k*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/(a**(-2\/7)\/a))\/((a\/a**(3\/8)*a)\/((a*a**(2\/5))\/a))*(a**3\/(a*(a\/a**0)\/a))**(5\/12) assuming a is positive.\nAnswer: a**(541\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 3*o + 4. Let i be d(2). Let g(m) = m**3 + 11*m**2 + 6*m - 32. Calculate the remainder when 49 is divided by g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/41464 and -79\/62.\nAnswer: 1285384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61\/2 - -31. Let r = -6 - -6.2. Which is the second biggest value? (a) y (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:56 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k**2 + k - 195. Let y(b) = 24*b**2 - 2*b + 194. Let t(n) = 5*x(n) + 4*y(n). Find the first derivative of t(l) wrt l.\nAnswer: -28*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and -0.07.\nAnswer: -3.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 191*w + 17 = -194*w, 0 = 3*j + w + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let d = 13 + -1. Suppose 0*b + 3*b = d. Let s(o) = -b - 4 + 2*o + 2*o. What is 6*c(j) - s(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 42 = 5*j, 0 = 85*j - 89*j + 4*q + 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q - 6*q)*(12 + 10 + 17 - 7).\nAnswer: -288*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, o: 6, j: 2}. What is prob of picking 1 j and 1 d?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -102. Let o = 77 - g. Suppose 0 = 4*m - 8 - o. Solve -3*y = 4 + m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929736 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-832)\/104)\/(1*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73849 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.5 - -48. Let s = -3.97 - 0.03. Which is the third smallest value? (a) s (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 11:16 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64481 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 13*x**2 + 10*x - 129. Let j be t(13). Which is smaller: -1\/264 or j?\nAnswer: -1\/264","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102321100111 - 0?\nAnswer: -102321100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from ggsgk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -263068695 and -0.1?\nAnswer: 26306869.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 0 in ascending order.\nAnswer: -17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 4*j - 26289 + 26289.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 417823.\nAnswer: 390\/417823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - m**2 - m + 4. Let w(u) = 21*u**3 - 47*u**2 + 6*u - 20. What is w(j) + 6*x(j)?\nAnswer: 3*j**3 - 53*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/7 + 6*q**4 + 12*q**3 - 822*q**2\/7 - 321*q + 420 = 0. Calculate q.\nAnswer: -7, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20612*l + 2. Let u be z(4). Let a = u - -2308767\/28. Let f = -41\/4 + a. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 122*q + 143*q - 272*q. Let l(j) = -47*j. What is s(l(d))?\nAnswer: 329*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 17. Let r be (2\/(-7))\/(6\/(-42)). Suppose -r*j + o = -j. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + 23031?\nAnswer: 23120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704 = -215*x + 303*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 12. Let h(a) = -2*a**2 - a. Let u be h(y). What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*2 - sqrt(65))*-3 - sqrt(65))*-1*1)\/(-1*5*sqrt(400)\/sqrt(5)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007372318 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-408)\/(-108) - (0 - -1). Let h = -143\/45 + d. Which is the biggest value? (a) h (b) 1\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1576352.3 and -28.64732.\nAnswer: -1576380.94732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/2 + 137*z**3\/2 - 265*z**2\/2 + 131*z\/2 = 0. Calculate z.\nAnswer: 0, 1, 131\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 355823\/9732?\nAnswer: 355823\/9732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 3*j + 4*a - 2, j + 5*a = -7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w**2 - 2*w**2 + 0*w**2. Let j = -7 + 9. Let x(o) = j*o - 3 + 3. What is x(a(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2540 and 85\/363474.\nAnswer: 3634740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71488 or 1\/4?\nAnswer: 71488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 t, and 1 g when four letters picked without replacement from wwttwwtwtwtwtwwwgww?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 - 44 - 2*g**2 + (14 - 14 + 50*g)*(4 - 4 - g) in the form b + q*g**2 + w*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17096938923271*s - 18*s**2 - 17096938923271*s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34\/3 + 176\/15. What is the second smallest value in 5\/4, n, -2\/29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110834740223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50328239?\nAnswer: 13, 59, 65617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**6\/30 + 9*w**5\/4 + 2*w**4\/3 - 1835*w**3\/2 + 4144*w. Find the second derivative of b(f) wrt f.\nAnswer: -12*f**2 + 270*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + 8*q**2 - 6*q**2)*(2*q**3 - 1 + 1) + (0*q**4 - q**4 + 2*q**4)*(3 - 3 - 3*q) + 37*q**5 - 21*q**5 - 24*q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163882973 to the nearest integer?\nAnswer: 34116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 387972*s**2 - 256*s - 24830208.\nAnswer: 4*(s - 8)*(s + 8)*(s + 96993)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -1\/4, 0, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -330 in decreasing order.\nAnswer: -1, -2, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42677, -42680, -42687, -42698?\n\"Answer: -2*x**2 + 3*x - 42678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -11022121210111?\nAnswer: -11022121210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1542716 and 7408.\nAnswer: 6170864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1288)\/(-49) + 2\/(-7). Suppose 3*n + 26 = w. Put 4, n, -4, 1 in decreasing order.\nAnswer: 4, 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z - 217. Let j be k(-12). Let x(q) = q. Let n(i) = 4*i**2 + i + 3. Let r(c) = 5*c**2 + c + 4. Let d(l) = 4*n(l) - 3*r(l). What is j*x(v) + d(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from lllk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 - 1 + 1 + 13*b**2 - 23*b**2. Let k(r) = -110*r**2. Calculate c(k(v)).\nAnswer: 48400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6.1 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*0*4\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 4. Let y be c(-8). Suppose 18 = r + f - 15, -2*r = y*f - 62. Suppose 26 + 2 = 4*j. What is the greatest common factor of j and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4193359, 4193360, 4193361, 4193362?\n\"Answer: m + 4193358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-12))\/(2\/4). List the prime factors of (3 + (-16)\/6)\/(a\/(-2241)).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.3. Suppose 3*c - 2*a - 3 = 0, 5*c - 2*a = -0*a + 5. What is the nearest to 0 in c, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -22. Let n(h) = h**3 + 7*h**2 - 8*h + 4. Let v be n(-8). Suppose v*p = -p + q. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686851 (base 9) in base 13?\nAnswer: -27047b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 1725*f**2 + 402872*f - 812652.\nAnswer: (f - 2)*(f + 281)*(f + 1446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3796 + 0.3796. What is the smallest value in m, -1\/14, -5, 10\/7, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 31 - 17 = 0. Suppose -32*f + 1305 + 2919 = 0. What is the highest common factor of b and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 28. Solve p*y = -2*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31bc07b - -35?\nAnswer: -31bc046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4426000*o**3 - 2302696*o**2 wrt o?\nAnswer: -26556000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.907.\nAnswer: 0.4535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320)*1*-5*5)**2 + -1*(((-1*sqrt(660) + sqrt(660))\/sqrt(11))\/(sqrt(120)\/(sqrt(10)*-2)))**2.\nAnswer: 800000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 141*r + 29. What is the hundreds digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {z: 1, k: 3, v: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmsdds. Give prob of picking 2 m and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 216*k**3 + 6042*k**2 - 11236*k = 0. What is k?\nAnswer: 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*o + 27*o + 24*o)*(-1 - 2 - 2 - 3 - 2 + 6 - 6 + 5 + 2 + (3 - 1 - 1)*(5 - 1 - 3) - 4 + 4 - 2) - 3*o - 2*o + o to w*o + l and give w.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(176)*-1 + 3*sqrt(176) + -2 - (-2 + sqrt(176) + -5 + (sqrt(176) + 2)*5)) + 1)**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 162, 245, 320, 381, 422, 437, 420?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 0*b - 5*b. Let y(x) = -9*x**2 + 0 + 0. What is y(h(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 - 2*y**2 - 3*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 - 193 - -110) + -1 + 2 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 - 569486*m\/9 - 569488\/9.\nAnswer: 2*(m - 284744)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*z + 27, h - 2*z - z = -9. Let j be 26 - -8 - (-1 - (h - 0)). Which is the third biggest value? (a) 5 (b) j (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(7) + -1 - sqrt(7)) - (-3 + sqrt(1008) + -1)) + 2.\nAnswer: -12*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338615 (base 13) to base 16.\nAnswer: 12967a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -2.6. What is the biggest value in y, 9, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2932107.\nAnswer: 14\/2932107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - c**3 + 6 + 0 + 2*c**2 + c**2 as u*c**2 + i*c**3 + d + t*c and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 + 6)*(1 + 0*o + 0 - o)*(-18*o**4 - 138*o**3 + 138*o**3).\nAnswer: 396*o**5 - 396*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 7*o + 7. Suppose 0 = 11*x + 33 + 33. Determine j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 + 1775406*v\/7 - 3550800\/7.\nAnswer: -3*(v - 591800)*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 12*g - 5. Let x be i(5). Let t be x\/(-12) + 16\/(-12). List the prime factors of (-3)\/(-6) + -1 + (-940)\/t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 9*x + 6. Let t be w(7). Let i be t\/(-44) - 172\/(-22). Calculate the greatest common factor of i and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 691, 937, 1111, 1207?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45055\/24 - 1877. Let j(s) be the third derivative of 16*s**2 + 1\/60*s**5 + s**3 + p*s**4 + 0 + 0*s. Factor j(v).\nAnswer: (v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4292, -4295, -4298, -4301, -4304?\nAnswer: -4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 1. Suppose 4*y = 2*y. Suppose 5*t - 4*t + 19 = -5*k, 4*t - 3*k - 39 = y. Let i(q) = 4*q**2 + q + 6. Determine t*r(v) + i(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12561 and 316?\nAnswer: 50244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(1452)*4))**2 - (sqrt(108) + -2 - (sqrt(27) + -2))**2.\nAnswer: -52269\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2622\nAnswer: -13110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 112. Let q = 2 - 2.1. Which is the second smallest value? (a) q (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68025 is divided by 243?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 15. Let d be j(0). Let k = 52 - -8. What is the highest common factor of d and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(847) + -4).\nAnswer: -10 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 91\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(44) - (sqrt(44) + -1 + sqrt(44))))**2 + 5.\nAnswer: -4*sqrt(11) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-10))\/(14\/(-105)). Suppose 678 + 2040 = d*q. What are the prime factors of q?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2) - (-14 + 9 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*h - 49, -4 + 6 = h + 3*v. Suppose -4*o + 1 = -h. Solve -4 + 1 = o*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 12 - -7 - -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 767491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 = -y - 2*s, -4*y - 4 = 5*s. Let z be (-8)\/y - 2\/(-3). Solve 12 = 4*h - z*o, -5*o = -2*h + 5*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8421 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p - 57*p + 17*p + 20*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 0*a)*(0 + 0 - 7*a) - 230*a**2 + 582*a**2 - 223*a**2.\nAnswer: 157*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f. Let n(j) = j. Let c = -987 - -986. What is c*q(p) - 6*n(p)?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 1 + 19*q**2 - 4*q - 4*q**2. Let b be i(2). Suppose 5*v - 3 = 3*p + b, -5*v + 2*p = -45. Are v and 7 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/528 and -71\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f - 28 = 89*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - s = 4, 3*s + 11 = -1. Let a(v) = f*v - v - 8 + 0*v - v. What are the prime factors of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (-5 + (-13 - -13)) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = p + 2*p. Let z = 602 + -1165\/2. Calculate the common denominator of z and p\/4*2\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 2684*h + 145079. Calculate i(52).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -39153*p + 6. Let b(h) = -19580*h + 2. Give -5*b(q) + 2*l(q).\nAnswer: 19594*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*11\/(132\/(-18))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-35)*10)\/(-2))\/((-3)\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2bb51 (base 13) to base 7\nAnswer: 464415","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 4095\/(-234)*(713\/46 - 16)?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.45486 nanometers to millimeters.\nAnswer: 0.00007545486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -187*d**2. Suppose w - 23 = 2*g - 30, 2*w - 3*g + 11 = 0. Let c(x) = 2*x + 1. Let y(s) = -8*s - 3. Let v(k) = w*y(k) - 3*c(k). Calculate v(l(z)).\nAnswer: -374*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/1 - (-14 - (-16 + 10) - -11). Solve f*a - 1 = 5*s, 2*a = -s - 15 + 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/687 - -23173\/15114. Find the common denominator of i and 103\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000111825221 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*h + 8675, 65*h + 17377 = 69*h + 3*z. Calculate the highest common divisor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from {l: 1, y: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z + i - 192, z - 12436 = -2*i - 12430 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75913749 to the nearest integer?\nAnswer: 8713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*a - a = -123, -2*a - 2 = 0. Let w = 156 + x. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6933 is divided by 1378.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254056 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.02?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2, 4*h = -2*f + f + 971. Suppose a - 4*w = h, -1014 = 3*a - 7*a - 5*w. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*c - 6, d - 4*c + 9 = 4*d. Solve -d*z + 19 = -2*u - 0*z, -5*u + 4*z - 30 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.98 - -24. Let b = -411.97922 - -412. Let t = b - n. What is t rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 + 9*s + 17693. Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.9. What is the nearest to 1\/4 in d, 1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10192232627 - 170?\nAnswer: 10192232457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -6760?\nAnswer: 6752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - b**2 - 2*b + (4*b + 4*b - 6*b)*(-20*b - 55*b + 0*b) in the form h + l*b + f*b**2 and give f.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.3 (b) 4 (c) -454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.35 + 15.35. Let s = g - 16.7. Let p = 0.3 - s. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:59 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9774 divided by 2399\nAnswer: 9774\/2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6308 - 1274. Let s = k - -7582.00003591. Round s to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 13476 + 13645. Calculate the greatest common divisor of v and 52559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -4, -2\/3, 5\/6, 3\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 327\/(1212\/(-400) - -3). Is (-6)\/14 - (v\/35 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*m + 162476, -7*m + 3*f - 406198 = -2*m. Let z = m + 115879. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(1 + 0 - 2)*(-k**2 + k**2 + k**2 + (-3*k**2 + k**2 + 0*k**2)*(-710 + 325 + 316)).\nAnswer: 278*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 (base 14) in base 6?\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-25)*j)\/((j\/j**17)\/j))**(1\/11))**(-22) assuming j is positive.\nAnswer: j**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i**2 - 12*i + 17. Let o(p) = 24*p**2 - 17*p + 25. Let q(f) = -5*o(f) + 7*z(f). Let u = -6 + 6. What is q(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-25)*10*(-5)\/(-4). Suppose -24 = -j*s + i, 23 = 4*s - i + 3. Suppose -s*h + 11 + 9 = 0. Solve h = -q - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 593, 592, 593, 596, 601, 608, 617?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 8, i: 5}. What is prob of picking 3 i?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373734 is divided by 7187?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let c(p) = -6*p + 48. What is -4*c(y) - 27*r(y)?\nAnswer: -3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**33\/((g**0*g)\/g)**(1\/20))\/(g**(1\/6)*g**7*(g*g**(2\/9)*g)**(-3\/8)) assuming g is positive.\nAnswer: g**(-331\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401 = 51*t + 146 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*u + 3*b + 52 = 0, 3*b - 13 = -u. What is the remainder when (-94)\/((-6 - -2) + 2) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-4))\/((-71)\/142). Let c(x) = -x**3 - 11*x**2 - 16*x - 16. Give c(f).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(494\/166 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by 4.\nAnswer: 177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o + 6. What is i(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 + 560*a + 3954. Give d(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -41*o**2 + 42*o**2 + 34 - o - 6*o. List the prime factors of j(14).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -11.4. Let p = 22.5 + -33.5. Which is the third smallest value? (a) u (b) -1\/4 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/73839 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/63, 0.505, -0.4 in descending order.\nAnswer: 0.505, -1\/63, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*r = 6*r - 61*r + 7421058. What are the prime factors of r?\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 64. What is the lowest common multiple of 4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*a - a. Suppose 5*z - a = -5. Suppose 840010 = -3*c + 5*b, c + 279998 = 2*b - z*b. What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 0, -2*v + 2 = -a - 0*v. Let u be a - ((-10)\/6)\/((-6)\/(-18)). Solve -u*z = -z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/(-3)*4. Let w(p) = 4531*p - 18119. Let g be w(4). Solve 0*v = -g*v + 2*j - 25, 0 = -q*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 209*a**3 - 6168*a**2 - 64656*a - 228096.\nAnswer: -(a + 9)*(a + 12)**2*(a + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 15*h + 3. Let r be l(0). Find the second derivative of -k**3 - 123*k**2 - 114*k**2 + 221*k**2 - 3*k**r + 136*k wrt k.\nAnswer: -24*k - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 731*m**4\/12 + 1708*m. Let s(a) = -a. What is s(j(n))?\nAnswer: -731*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579184 divided by -8.\nAnswer: 72398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i + 6. Let k(t) = 6*t**2 - t. Let z be k(1). Calculate o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4996 - 4996 - 31*h)*(6 + 3*h**3 - 6) + 5*h**4 - 5*h**4 + 2*h**4 to b*h + z*h**3 + u*h**2 + a + c*h**4 and give c.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -2*l**6\/9 + 4*l**5\/5 + l**4\/3 - 44*l**3\/9 + 8*l**2 - 16*l\/3 - 13. Solve a(n) = 0 for n.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 + -52.2. Let v = i - -47. Let y = -0.5 - -0.5. Which is the third smallest value? (a) 5 (b) 0.5 (c) y (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4)**38*r**(-1\/15)*r*r**(-26))**(-18) assuming r is positive.\nAnswer: r**(-11424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4923721\/229 - -21501. Let m = -770\/8931 + n. Let r = m + -3\/26. Which is the nearest to r? (a) 2 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = s - 16, -2*s + 5*s + 4 = -4*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 94 = 34. Suppose 2*k = -5*s - 10, s + 2*s + 3*k = -l. Solve s*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005345 rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78039 is divided by 218?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11328*q - 11328*q + 1 - 1 - 51*q**3.\nAnswer: -51*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/10 + 5616*c\/5 - 11231\/10 = 0.\nAnswer: 1, 11231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 11*b**3\/3 + b**2\/2 + b - 1. Let x be i(-1). Solve 2*f + f - 12 = 0, -x = 3*t - 2*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 + 23*q**3\/4 - 189*q**2\/4 + 637*q\/4 - 343\/2.\nAnswer: -(q - 7)**3*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1097 - 1097.0000002384. What is x rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let f = 90 - 89. Let y be ((f - (-4)\/12)*-3)\/(-2). Let c(q) = -2 + 1073*q**y - 1053*q**2 + 2. Determine c(v(j)).\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.71 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = -2*o + 4802. Is 3\/(-2) - o\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5300575\/3 or 1766857?\nAnswer: 1766857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1774 from -0.935167.\nAnswer: 1773.064833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.739294 to three dps.\nAnswer: -0.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 3*b + 0*b**2 + b**2 + 1. Calculate the least common multiple of t(2) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702609*k**3 + 702613*k**3 + 0*k**2 + 0*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5*m + 2*m)*(2 - 6 + 2) - m + 4*m - m + (m + m - 3*m)*(-6 - 1 + 3) + 2*m - 2*m - 2*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqxxxttqxxqo. Give prob of picking 1 x and 1 o.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -acd6 - 0?\nAnswer: -acd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -31 + 2646\/81 + 80\/6. Let z(f) be the first derivative of f**3 - 11 + 24*f - n*f**2 + 3\/4*f**4. What is o in z(o) = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12474*q**4 - 231*q**3 - 78243. Let o(x) = 215*x**4 + 4*x**3 + 1349. Let v(c) = 4*d(c) + 231*o(c). What is the first derivative of v(u) wrt u?\nAnswer: -924*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*z - 126*z - 952*z - 124*z + 1317*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-164)\/14 - 4\/14. Let x(i) = -i**2 - 16*i - 10. List the prime factors of x(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-21*26\/(-1911))\/((-8)\/14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*w**2*y - 16*c**2*w**2 - 17*c**2*w + 11*c*w + 3*c - 2*w**2 - w*y wrt w.\nAnswer: 4*c**2*y - 32*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - y = -3*n + 34, n = -5*y + 19. Suppose 4*s - d = -559 + 579, 5*s - 25 = 5*d. Solve 4*k - n = -s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w. Let p be o(0). Suppose 4*v = -p*v - 16. Let f = 11 + v. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y + 1. Let k be z(-1). Let s be 2\/k + (-86)\/(-18). Let w be 1*(s + (-6)\/3). Which is the second biggest value? (a) w (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176\/7 or 3\/4?\nAnswer: -176\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 2 + -4)\/2. Let x = t + 2. Let g(z) = -1181*z - 1 + 1 + 1176*z. Calculate g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -57*g**2 - 12*g - 4. Give z(2).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/6)\/(24\/5136) is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (770\/(-33))\/(14\/(-21))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(0*y + 3*y - y) + 55*y - 4 - y**2 - 27*y - 30*y.\nAnswer: y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*44\/(-33)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30638788549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 13*j**2 - 38*j - 38. List the prime factors of f(-13).\nAnswer: 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68004 divided by 12\nAnswer: -5667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -286*b**2 + 397*b + 2 wrt b?\nAnswer: -572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.59 - -7.\nAnswer: -14.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 0*u - 6537*z = -6529*z + 41, 2*u - 3*z - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -26.\nAnswer: 47\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 3 - 4*a**2 - 5)*(2 + 3 - 1).\nAnswer: -4*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204 (base 9) to base 16.\nAnswer: 37f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/9 or -0.25?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x + 8236 = 25*x - 4*s, -5*x + 20680 = 5*s. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/17 + 566*u**4\/17 - 1710*u**3\/17 + 1714*u**2\/17 - 572*u\/17.\nAnswer: 2*u*(u - 1)**3*(u + 286)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mama. Give prob of picking 1 a and 1 m.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5511079*d**3 - 98*d**2 + 189*d + 21 wrt d?\nAnswer: -33066474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 times 32?\nAnswer: 46144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 423, 633, 843?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -554\/5? (a) -7\/2 (b) -2.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594262?\nAnswer: 2, 61, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 2*v. Let l(j) = -19*j - 4. Let x(z) = 9*z + 2. Let q(m) = v*l(m) - 13*x(m). Let h be q(-2). Calculate the highest common factor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.312 + -12.988. Let w = -15 - c. Let q = w + 1.699986. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4574142 rounded to the nearest ten thousand?\nAnswer: -4570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/48 + 43*a**3\/36 + 77*a**2\/4 + 1018. Factor t(c).\nAnswer: c*(c + 21)*(c + 22)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 95150*l**2 - l - 47575*l**2 - 47578*l**2.\nAnswer: -3*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -41234212?\nAnswer: -41234143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-10)*(90750\/880)\/55?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229 + -228. Is 5\/13 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -40 - (179 + -163).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*f**5 + 0*f + 0*f - 2 - 366*f**5 - 42*f**3 + 785*f**2 + 735*f**5 wrt f.\nAnswer: 180*f**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1750400, 3500698, 5250996, 7001294, 8751592, 10501890?\nAnswer: 12252188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**8\/560 + y**4\/24 - y**3\/3 + 3*y. Let n(i) be the second derivative of c(i). Find the first derivative of n(u) wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5040733*n**5 + 2*n**4 - 11276089*n**2?\nAnswer: -302443980*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - t**2 - 2 + 1 - 73*t**3 - 1 + 79*t**3 to u + z*t + a*t**2 + n*t**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.3493 + 0.0493. Let w = c + 30.3. Suppose -5*k + 5*u - 7 - 13 = 0, 2*k + 3*u - 2 = 0. What is the second smallest value in -0.4, w, 0.3, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 5. Let j = 21.79 + 2.01. Let f = t + j. What is f rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 79824*j**2 + 877822*j = 0.\nAnswer: 0, 11, 39901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**18\/s))**38*s\/s**(2\/53)*s**33 assuming s is positive.\nAnswer: s**(-30424\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.9 + -20. Let n = 45548 + -45551. Which is the nearest to v? (a) 0.5 (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is dae (base 16) in base 4?\nAnswer: 312232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 729, 358, 6?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 0 = -t*j - 3 + 11. What is the first derivative of 0 - 2*h**4 - j + 3*h**4 wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + 101?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299952 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 66.6. Let q(o) = o**3 - o**2 - 2*o. Let w be q(2). Suppose w = -2*y + 6*y - 8. Which is the third smallest value? (a) -2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 7 - 15*i + 2)*(1 + 2 - 1 + (3 - 2 + 0)*(0 - 2 + 3) + 5 - 3 + 0 + (2 - 3 - 5)*(3 - 4 - 1)) to a*i + u and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2660 = 3*d - d, i = -4*d + 5338. What are the prime factors of d?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or -475\/9?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26279.5402 - 26283. Round u to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 2, b: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 30 - 20)*(4*v**2 + 3*v - 3*v).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -1 + (-9 - -1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 - -13 - (3 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-18) + ((-8944)\/(-234) - 38). What is the closest to j in -5\/3, 7, 5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 1083*z**4\/4 + z**3\/3 - 3013*z**2\/2 - 9127. Find the third derivative of w(u) wrt u.\nAnswer: 6498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5365, -11207, -17983, -26161, -36209, -48595?\n\"Answer: -78*j**3 + j**2 - 5299*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40704 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r**2 - 21*r - 35. Let b(z) = 4*z**2 + 8*z + 12. Let y(k) = -8*b(k) - 3*d(k). Determine y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i**2)*((-i + 1 - 1)*(5 - 2 - 1) + 2*i - i - 2*i + 0*i + 0*i + i + 85368 - 1872*i - 85368)*(1 + 3 - 2)*(-1 - 3 + 2).\nAnswer: -14992*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.083 * 2765.\nAnswer: 229.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-4 + sqrt(1900)) + -3 + sqrt(1900) + -3 + 5.\nAnswer: -20*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423101.387 rounded to the nearest one hundred?\nAnswer: -2423100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sttsq. What is prob of sequence sqtt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 83*r\/7 - 162\/7.\nAnswer: -(r - 81)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290*(0 - 14 - -15).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41057716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 24*c**2 - 5*c + 349. Let n be w(-21). Are 1776 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/40292 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 6*l**2 - 6*l - 3. Let j be z(-4). Let b(f) be the first derivative of -33*f**2\/2 + 8*f - 1087. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 125274\/378*7 + 1\/9. Calculate the greatest common factor of 560 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -306, 5, 4 in descending order.\nAnswer: 5, 4, 2, 0, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*o - 31376 = -109*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 + 270.444. Let t = b - 0.444. Let a be (3\/4)\/((-2)\/8). What is the nearest to 2 in a, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14857044?\nAnswer: 2, 3, 1238087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 0.2 (b) 38 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1783 times 59.5312?\nAnswer: -10.61441296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*p. Suppose -5*n + 3 = -17. What are the prime factors of ((-10)\/n)\/(p\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.88 - -0.47. Let g = -2.31 - k. Which is smaller: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 5*y. Let t = 5 - 8. Suppose 0*v = -3*i - 4*v + 23, -5*i + 5*v = -15. Let g(j) = j**2 + 3*j. Calculate i*g(k) + t*z(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-8))\/((-70988)\/17744 + 4).\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 8. Let a = 119 - 64. Let m be 132\/a*20\/6. Is 12 a factor of i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = l + 5*q, 2*l + 20 = -4*q - 6. Let w(f) = -2*f**2 + 6*f + 3. Let x be w(3). Let p(u) = 0 - x + 2 + 6 + u. Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((40\/(-6))\/4)\/(25\/(-30)). Solve r*f + 2 = -i + 3*i, f = -4*i + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53535.7 decades?\nAnswer: 535357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 430? (a) 0.09 (b) 2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + sqrt(1331) + sqrt(11) - 1*sqrt(176))**2 + (sqrt(99) + -3 - (sqrt(11) + (sqrt(275)*2)**2)).\nAnswer: 2*sqrt(11) + 2868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*w + 2*w. Let z(b) = 3 - 34*b + 17*b - w. Let d(x) = 0*x + 7*x - 6*x. Give z(d(p)).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3167081.8 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 5*a - 1 + 2*a**2 - 9*a**2 + a**3. Let x be g(-6). Let l = 0 - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8, 5*s - 213 = -4*h + 317. Find the common denominator of -68\/3 and h\/(-12)*(-14)\/(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*j + 15 + 10 - 27 - 2*j**3 to u*j**3 + x*j + z + o*j**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72660695 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1\/2703, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 73. Let z = 31.99999992 + j. What is z rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005973 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 9*h**2 + 14*h + 2. Let v be i(7). Find the third derivative of -7*w**3 + 5*w**3 + 2*w**3 - 5*w**v - 8*w**5 wrt w.\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - (-869)\/(-33))\/((-4)\/6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4268*m**2 - m. Suppose -2*x = -2*s - 2, 0 - 1 = -2*s + 5*x. Let t be n(s). Let g = -9974 + t. What is g rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = n + 24, -4895*r + 4897*r + 9*n - 172 = 50*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046628.57 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -597 - 207*g - 127 + 210*g + (4*g - g - 5*g)*(0 + 3 - 1) in the form x + h*g and give x.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*4 + (sqrt(24) - (sqrt(24) + sqrt(120)\/sqrt(5))*-6))\/(sqrt(768) + (sqrt(768) - -3*(-2*sqrt(768) + sqrt(768))) - 3*-2*sqrt(768)).\nAnswer: 33*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -113 - p**2 + 113 + 5*p**2 - 3*p. Let v(y) = -2*y + 2*y - 3*y**2 + 2*y. Let u(z) = -2*r(z) - 3*v(z). Factor u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2192 - 2036.3. Let r = l - 8.7. Let w = 146.754 - r. What is w rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2. Let q(y) = y**2 + y - 4. Let m be q(0). Let c = m - -7. Let x(o) = -5*o - o + c*o. Calculate u(x(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - (35 - (7 - ((-19 - -32) + -23)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/4 - t. Let v(b) be the second derivative of 0*b**2 - 1\/3*b**3 + 5*b + 0. Calculate v(l(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2a6c6 (base 13) to base 11\nAnswer: -55341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -5 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84557900 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*w**3 + (w - w + w**2)*(2*w - 4*w + 3*w) + w**3 + w**2 - w**2)*(0 + 2 - 4)*(-w - 2 + 2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27261 + 3856*v - 13937 - 9719 - 10347 with respect to v.\nAnswer: 3856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80079421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from jzzjujujuzzuzzj?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -2 (b) -2\/303 (c) -5 (d) 1 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98932045?\nAnswer: 5, 19786409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -96, -210, -370?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d. Suppose d*v = 4*v - 88. Let k = v + -12. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*f - 3 = -1, 3*o - 6 = -3*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21*i**3 + i**2 - i + 1. Determine s(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + -5 + (2 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -9\/13, -16, 0.32, 23?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -1361c?\nAnswer: -13610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**2 + z**3 + 30 + 24*z + z**4 - 17*z**2 - 25*z - 17*z**2 + 34*z**2 as i*z + b*z**4 + a*z**3 + t + c*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-r**3 + 0*r**3 - 3*r**3) - 14*r**2 - 36*r**3 + 14*r**2 - 3*r**3 - 3*r**3 + 5*r**3.\nAnswer: -49*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.98 + -0.02. Let c = 173\/3 + -56. Let n be 1*8*(-4)\/(-8). Sort c, g, n in descending order.\nAnswer: n, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.43 greater than or equal to -2526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (3 + 1 + 3 + -4 + -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8401610 divided by -442190\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - ((-17 - -18) + -43).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 8*x**2 - 7*x + 5. Let q = -3 + -3. Let r be v(q). Let i be r\/(-2)*28\/(-5). What is i rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**2 - 2*a**4 + 0*a**2 + a**2 + 4*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, 2\/3, -0.11, -12 in increasing order.\nAnswer: -12, -3.2, -0.11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -625.7 - -626. What is the nearest to 1 in 3, o, 61?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*x + 106*x - 70. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -14684.3968?\nAnswer: -14684.7968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*2 - (sqrt(77) + sqrt(77) + ((sqrt(77) - -2*sqrt(77))*4 - sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77)))\/(sqrt(448)*2 - 5*-2*sqrt(7)).\nAnswer: -4*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -29\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0582414492 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 5) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:12 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13472051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-3)\/2)\/(51\/51)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -18733.\nAnswer: -18730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or -113?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54331630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 - 95 = -5*u. Suppose -u = -6*g + g. Solve -n + 6*n = v + g, 2*n - 3*v = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1221\/6 + (-2)\/(-4). Calculate the common denominator of -2*((-230)\/(-36) + -3) and m\/45 + 1\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230710769?\nAnswer: 23, 227, 44189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb (base 16) to base 11.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12124 (base 5) to base 16.\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, -379\/12, -0.3, 4, 2 in descending order.\nAnswer: 4, 3, 2, -0.3, -3\/2, -379\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 2. Let g(z) = 3*z - 5. Let i(s) = -4*g(s) - 7*j(s). Let t(o) = -95*o - 102*o + 295*o - 101*o. Calculate t(i(d)).\nAnswer: 15*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(5\/(-20)*-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a\/(a*a**(-5))*(a\/a**(-4))\/(a**(-5)*a) assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 76*t - 137. What is o(-40)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1271 times 1\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1821 - 1803. Solve -2*m - d*t - 12 = -15*t, -4 = -5*m + t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5592, 5646, 5828, 6210, 6864, 7862, 9276?\n\"Answer: 12*y**3 - 8*y**2 - 6*y + 5594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 341*b + 417 + 7873 + 10465 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1029*u - 32932. Calculate l(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*b - 144*b + 32616 - 4438 = -10598 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from vvvvvvppovvvkpppp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:58 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 0 (c) 262 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/4*152\/(-3990) + (-4)\/(-30).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472328182?\nAnswer: 2, 13, 109, 519523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1285 by -5364.\nAnswer: 1285\/5364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -92, -147, -202?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -24.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 11 - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r + 3 + r**3 + (4*r**2 + 0*r**2 - 3*r**2)*(-3*r + 4*r + 0*r) + 3*r**3 + 0*r**3 - 7*r**3 as g + y*r**2 + o*r + d*r**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.73 times 0.216?\nAnswer: 0.58968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**2. Let x(v) = -11*v + 30*v - 13*v. Calculate a(x(p)).\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17074 is divided by 478?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 37*o**2 + 17*o - 22. Let y(f) = 13*f**2 + 6*f - 8. Let k(m) = 3*b(m) - 8*y(m). Let t(a) = a**2 + a. Give k(v) - 5*t(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4846005*d - 2209636.\nAnswer: -4846005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b - 42*b = 5*r + 20, 0 = -b - 0*b + 5*r + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -526 - -521. Let q be 108\/(-90) + (-6)\/a. Solve -2*z + z + 4 = q, -5*b + z - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107 and 86059.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310416 and 170868.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -156822 and 621642025.\nAnswer: 621485203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3*1\/(-2)). Let q be (69 - 78)\/(0 + 1 - (-10)\/(-4)). What is the third derivative of c - 61*c**3 + 9*c**x + 61*c**3 - 25*c**q wrt c?\nAnswer: -3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 - n - 1. Let f(p) be the first derivative of 5\/4*p**4 + p**3 + 3\/2*p**2 + 5*p + 2. Calculate -f(q) - 3*t(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20*n + 255 = 0. Calculate the least common multiple of n and (27\/(-3))\/(2\/(-2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**3 - 50844*y**2 - 156*y + 397602238?\nAnswer: 3*y**2 - 101688*y - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -8*n - 2*q, -102*q = 2*n - 104*q + 22 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30 and -67\/212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 3\/5 (c) -4\/8259 (d) 4 (e) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + d**2 - 9*d - 4*d**2 + 0*d + 2.\nAnswer: -3*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -33 - 27. Let x be ((-42)\/t - 2)\/(1\/205). Let h = -133 + x. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/252 and -53\/2492?\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 - -50. Let a be 1\/v + (-70)\/21. Let h be ((-42)\/(-15))\/(a + (-17)\/(-5)). Solve h = 3*z - 5*k, 4*z - 3*k + 8*k = 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087*u - 3222*u = 7477*u - 1508608 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35927873 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 9 = -1664*z + 1663*z, -3*z - 17 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12974962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.25 and -8947555.\nAnswer: -8947566.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, -1\/2, -1\/3, 110, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/125 in 1.61, 1, -8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*y = -21, -820*y = -3*g - 817*y + 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, u: 10}. Give prob of sequence kuuu.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3660327082 and 0.4?\nAnswer: 3660327082.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.2, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874 divided by -6?\nAnswer: 937\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2560 and 160.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -3 (c) 6 (d) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 1 + sqrt(153))*1 + sqrt(153) - sqrt(153) - (-3 + sqrt(153) + 0)) + -2 - (-5 + 1*sqrt(153) + -3*(sqrt(153) + 2)))**2.\nAnswer: 234*sqrt(17) + 1546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 6*t + 35. Calculate d(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x = -5*x - 19578. Let a = x - 431. List the prime factors of a.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-50))\/((-72)\/(-120)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k + 148. Determine t(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(396) + -4)**2*-5 + 0 + -4.\nAnswer: -2059 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, 22 in descending order.\nAnswer: 22, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 830*d - 3059. What is t(6)?\nAnswer: 1921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*s + 2 - s + 4*s - s + (2 - 2 - 1)*(s - 5*s + 2*s) + s + 0 + 0 + (-4 + 3 - 1)*(3*s + 0*s - 4*s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, -5, -4, 247, -0.4, 4 in ascending order.\nAnswer: -13, -6, -5, -4, -0.4, 4, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - 25) + -10 - (11 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 8352.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z + 488 + 489 - 1470 + 481. Let m(b) = b - 1. What is -f(a) + 3*m(a)?\nAnswer: -4*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2345 and 11390.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, l: 1, e: 7, u: 3}. What is prob of picking 2 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Suppose 4*d + w = -7. Let m(s) = 2*s**2 + 3*s. List the prime factors of m(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from ilxlllpi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-6))\/(4\/(-18)). Factor -36*t**w + 5 + 5*t**4 - t**2 - 9*t**2 + 36*t**3.\nAnswer: 5*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 28 (c) -2\/7 (d) -1.541 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -10\/7 (c) 27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.012 - -1.988. Which is the nearest to 0? (a) -1 (b) y (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 7. What is the greatest common factor of z and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 9353175\nAnswer: -1\/9353175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 456739748 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*l*v + 14*h*l - 2*h*s - 2*l*s - 4*l*v + 2*s*v with respect to h.\nAnswer: -4*l*v + 14*l - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -7045600?\nAnswer: -7045584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 1164 = 1045 for j.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 105*b**2 - 4410*b + 97200.\nAnswer: 5*(b - 27)*(b - 24)*(b + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 1. Let l be (-14)\/18 + 10\/(-45). Let x be t(l). Suppose -3*a + 220 = x*a. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/4 + 33*a**5\/10 + 27*a**4\/4 - a**3 - 57*a**2\/4 - 27*a\/2 - 52. Let c(b) = 0. Calculate b.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 1\/2 + 0*z**3 + z**2 - 1\/2*z**4 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2208 and 3282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020 (base 3) to base 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6056795 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6 - 156\/936. Let t = 46 + -50. Put -22, t, f in descending order.\nAnswer: f, t, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5903198 > -5903197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639557 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(577 + -560)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 47, 75, 107, 143, 183, 227?\n\"Answer: 2*g**2 + 18*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - 7*c**2 + 2. Let s(f) = 16*f**3 - 22*f**2 + 7. Determine -2*s(l) + 7*x(l).\nAnswer: 3*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 6*t + 1. Let k(g) = -g + 9. Let z be k(3). Let i be p(z). Sort i, 0, -5 in ascending order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -39*k + 141. Determine l(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567 and 21465.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - 9\/(-6)) + -3)*15170\/(-555). Solve -u - 129 = -85*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*z**3)*(0 + 4 - 5) + 3*z**3 - 3*z**3 + z**3 + 5*z**3 - 6*z**2 + 6*z**2 + z**3 - 5*z + 5*z.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*s - 9 = 0, -4*s = -3*q + 8 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/90 and 103\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1352243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672289?\nAnswer: 672289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 11. Let r be x(-3). Calculate the smallest common multiple of 4 and 23 + 24\/r - (1 + -2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17906.62356 nanoseconds to weeks.\nAnswer: 0.0000000000296075125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1723, -3341, -4853, -6259?\nAnswer: -7559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 - v + 2. What is t(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -37 + 719 + -690?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 - -0.429. Let t = -0.4388 - 0.04126. Let o = t + g. What is o rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 - 1 = 0. Find the second derivative of 5*h + 16*h**5 + i*h - 10*h**5 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-42))\/(1\/((-9)\/2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -4 + (8 - 6). Let m = 21 + h. What is the least common multiple of 30 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(1216) + sqrt(1216)*-2 + -4)*2*3)**2*-1.\nAnswer: 20736*sqrt(19) + 399168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2337 from 0.26.\nAnswer: 2337.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2618964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:17 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 18632*g**2 - 5*g + 6. Is h(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1184)\/370 - (-594)\/195?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/4 - o**3\/2 - o**2\/2 - 2*o. Let w be i(3). Let u = w + -8. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/11*n**5 + 37\/11*n**3 + 9\/11*n**2 + 27\/11*n**4 + 0 - 5\/11*n = 0. Calculate n.\nAnswer: -5, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6*m + 66 = 8*m, -2*m = 4*i + 102. Let j = 4 - 6. List the prime factors of 16\/i*381\/j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 557, 4452, 15029, 35630, 69597, 120272, 190997?\n\"Answer: 557*l**3 - l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2614, 19, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.336328 micrometers to millimeters.\nAnswer: 0.005336328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -4 - -3 - 1. Solve -11 = 3*u + i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8980100 to the nearest integer?\nAnswer: 2997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*-3*((-616)\/21 - -5). Suppose 2 + 75 = -t + 5*k, 0 = t - 2*k + 65. Let f = i + t. Round f to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3695325733 to the nearest integer?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, y: 1}. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose -t = -c*t + 12. Suppose 0 = -t*s + 15 - 3. Put 1, 2, s in descending order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243.67 - 243. Let d = 0.6699624 - g. What is d rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -571, -2\/5 in increasing order.\nAnswer: -571, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 168 = -13. Let n = a + 44. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-3)\/6 + -2. Suppose -x = i + 267, -x = -n*i - 0 + 279. Let u = -116 - x. Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -94)\/(-13 + 1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (42 + -28) - (8 - 44).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12531 or 12162?\nAnswer: 12162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*z - 114. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000102001 (base 3) in base 4?\nAnswer: 21223300","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7950 + 1c?\nAnswer: 796c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.18 - -1.12. Let g(i) = i**3 + i - 1. Let t be g(1). Which is the third smallest value? (a) t (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151030*d**2 - 151035*d**2 - 35*d + 1 + 302078*d**2 to s*d**2 + a*d + f and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*u - u**3 - 17*u + 84*u)*(-29*u - 2381 + 2381) to the form l*u**3 + d*u**4 + p + z*u**2 + w*u and give z.\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c. Suppose c*o - 4 = -4*o. Let t be 4\/(-2*o\/(-12)). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 19*f - 3. Let n be k(3). What is the second derivative of -4*q + 3*q + 36*q**2 - n - 69*q**2 wrt q?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 3*o - 8. Let q be ((-7)\/4)\/(3\/12). Calculate the least common multiple of j(q) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/18)\/(2\/(-24)). Suppose 5*v + 18 = 5*b + y*v, -4*v - 15 = -b. Suppose -3*f = -30 - b. Solve -5*x + f = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 3*z - 1 - 2*z + (-3*z - 4*z + 5*z)*(3 - 2 + 1)*(8 - 14 + 24)*(-6 - 6 + 4) to o + k*z and give k.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:16 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 13378365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x + 2*x - 2 + 3 + 4*x - 3 + (4 + 0 - 2)*(0*x + 3*x - 2*x) + 2*x - 2*x + x.\nAnswer: 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(735)*-2 - sqrt(735)) + sqrt(735))\/(sqrt(3) - (-6*(sqrt(3) + sqrt(9)\/sqrt(3)) - sqrt(3))) + 5)*4)**2.\nAnswer: -640*sqrt(5) + 1920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/17)*m*m\/m**8*m*m**9*m*((m\/(m*m**(1\/2)))\/m)\/m assuming m is positive.\nAnswer: m**(81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(1 - 1 + 22771*b - 22756*b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.5. Let s = -0.08 + -0.02. Let v = s + 0.4. What is the second smallest value in v, -5, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5343, -5344, -5345, -5346?\n\"Answer: -s - 5342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:08 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -36. Let t = -3.9 + 4. Put 0.3, t, h in descending order.\nAnswer: h, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22181.8266 - -22178. What is o rounded to 2 decimal places?\nAnswer: -3.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 - 74. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-1)\/(-8)*12. Let j be 6\/4*((-12)\/b + 0). Sort -4, 1\/4, j in increasing order.\nAnswer: -4, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -5) + (15 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6 - -1\/2. Suppose 2*i = -n - 8, n + 4*i + 11 = -5. Find z such that n*z**2 + 2\/9*z**4 + 0 - l*z**3 + 8\/9*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - y = -10*y - 198. What is the lowest common multiple of y and 2410?\nAnswer: 21690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 17, 8, -3, -16, -31, -48?\n\"Answer: -t**2 - 4*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8199, 14317, 30931, 63291, 116647, 196249, 307347, 455191?\nAnswer: 645031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*b = -43, 2*b + 2 - 6 = 2*u. Suppose 0*k - 18 = -2*k. Let h = u + k. Solve 4*n + 5*t = 9, -h*t + t = 2*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-7 - (-12 + 16 + (11 - 21))) - 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 47 - 54 - (3 - -18)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171\/4 or -43?\nAnswer: -171\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(30\/11)*b*b*b*b*b**8*b)\/(b**(-29)*b\/(b*b\/(b\/(b*(b**(4\/23)\/b)\/b)))) assuming b is positive.\nAnswer: b**(11107\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/4 + 3\/2 + -2. Suppose -13*m - 1235 = -n*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -115*c + 32. Let g be h(2). What is the units digit of g\/(-22) + 1 + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010354 to four decimal places.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-402)*-9*(-71)\/(8094\/(-76)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 338481, 336041, 333601, 331161, 328721, 326281?\n\"Answer: -2440*y + 340921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q + 5*q**3 - 4*q - 2*q**3 + (-2*q**2 + q**2 - q**2)*(1 - 1 - q) + 0 + q**3 + 0 + 2*q**3 + 0*q**2 + 0*q**2.\nAnswer: 8*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*(w\/(w\/(w\/w**2)))\/w*w)\/w**7)**(-2\/19)*((w**13*w)\/(w**(2\/7)\/w*w))**(-14\/3) assuming w is positive.\nAnswer: w**(-1206\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1363, 1360, 1361, 1366, 1375, 1388, 1405?\n\"Answer: 2*v**2 - 9*v + 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from opxsgig?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/4 bigger than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + u**2 + u**2 + 2*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 88. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - 10)*(2844\/10 + -4). Let v = w + 361. Is 43 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -81556?\nAnswer: 81560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0104822 millilitres to litres.\nAnswer: 0.0000104822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618 and 168?\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*a + 187, -4*a + 489 = y + 80. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*d**5 + 60*d - 60*d + (d**3 - d + d)*(454*d - 19*d**2 - 454*d).\nAnswer: -29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -10) + 3 + -2 + 3 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10719*u - 10720*u + 203 - 695)*(-13*u + 5*u + 2 - 9*u) to i*u**2 + s + x*u and give s.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119\/260 - 3\/52. Let x = 0.4 - 0.3. Let a = 1.7 + 0.3. Put i, x, a in descending order.\nAnswer: a, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*s - 3*l - 2 = 207*s, 4*s - 44 = -4*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)*(-1 - 0). Let m be (-1 - -1) + 207 + q. Suppose m = t - h + 672, 0 = -4*t + 3*h - 1855. Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 12*o + 154. Determine x(0).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 81272 divided by -20318\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 873*b - 299425. Determine u(343).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 49*z - 220. What is q(43)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-11)\/396*21?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17754*p**3 + 2*p**2 - 255*p - 20?\nAnswer: 106524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 21 - (-4 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94755511*g**3*n**3*q - 760217*g**2*n**3*q + 2*g**2*q + 10*g*n**3 wrt g.\nAnswer: -568533066*n**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -31*a**2 + 36*a**2 - 2 + 2. Let g(t) be the third derivative of 2*t**2 + 0*t - 1\/12*t**4 + 0*t**3 + 0. Give g(n(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, 3, 815, 927.\nAnswer: 1, 3, 4, 5, 815, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -49*g**2 + 6*g + 132. Let x(n) = -50*n**2 + 7*n + 158. Determine -7*r(h) + 6*x(h).\nAnswer: 43*h**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6131*c + 6124*c = -35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327574281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.37 - 75.63. Sort -1, f, 4, -3 in ascending order.\nAnswer: f, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005615129 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 7*p - 9. Let v be n(4). Let d(r) = -r**2 - 3 + 2 - 2 + r + 5 - 4*r**v. Is d(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times -312?\nAnswer: -7800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 5018424*u - 1574036215236.\nAnswer: -4*(u - 627303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 5)\/(1*6\/(-18)). Suppose s - 20 = -o. Solve 5*r + 5*y - 10 = s, -3 = 3*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -10061, -25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 3*p**3 + p**3)*(-6 + 6 + 8)*(-46*p + 39*p - 114*p + (-1 - 3 + 2)*(-5*p + 3*p + 3*p)).\nAnswer: 984*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 850 + -663. What is the remainder when p is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1411 + b - 4*b + 16*b + 1390 - b**2. Suppose 8 = 2*w, o = -2*w - w + 18. What is the units digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*p + 320 - 296, -8 = 2*p + 4*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -33. Suppose -s - m - 12 = s, -12 = -s + t*m. What is the tens digit of (-13128)\/(-216) - s\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 12. Suppose -5*c - h = 2*h - 72, r*c - 5*h = 16. Solve 0 = 2*v + 4*n + c, v = 2*n + 4 - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (-7 + (5 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 15*t + 37. Let g be j(13). Let h(y) = -12*y - 8*y + g*y - 12*y. Let u(q) = -q. What is h(u(m))?\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 take away -2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 202. Which is the second biggest value? (a) l (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4906460 + 2436250. Let x = 2470213.680187 + h. Let z = 3.68 - x. Round z to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -21 - (1 - 0) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 3, d: 1, k: 6, j: 1}. Give prob of picking 1 d and 2 f.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**6)**(-32))**(-34) assuming u is positive.\nAnswer: u**(-5440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-117)\/351)\/(-1*(-2)\/(-24)). Suppose 4*y - o*y = 3*y. Solve d + 4*g - 7 = y, g + 0 = -d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 - (-1 - (-2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -62. What is the least common multiple of (-2)\/(3*2\/(-12)) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 436 - 3049\/7. Factor 0 + 1\/7*z**2 + 1\/7*z**5 + u*z**4 + 0*z + 3\/7*z**3.\nAnswer: z**2*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-150)\/(-5 - (-3)\/1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(-6*m + 18*m - 3*m)*(9 - 20 + 4)*((-3 + 3 - 1)*(2*m**2 - 1 + 1) + 3*m**2 - 2*m + 2*m + (5*m**2 + 2*m**2 - 5*m**2)*(-4 + 1 + 2)).\nAnswer: -63*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 394?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -751234\/91 - -107438\/13. Suppose 0 + 208\/7*w**3 + 0*w - 4*w**5 - j*w**4 + 64\/7*w**2 = 0. Calculate w.\nAnswer: -4, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.219*-42229.\nAnswer: 684912.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2582188 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13041 - -5?\nAnswer: 13046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j + 2)*(-2 - 2*j**2 + 2) + (5*j - 2*j - 4*j)*(1129*j**2 + 241326 - 241326).\nAnswer: -1133*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 509 + -481. Suppose -j*f + 6*f + 88 = 0. Let m be (-2 + 2)*-1 + 2. Solve 0 = -b - 2*i - 7, m*b - f*b - 4 = 2*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22014323 (base 6) to base 11.\nAnswer: 40850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 1}. What is prob of sequence hhm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63852*u - 54211 wrt u.\nAnswer: -63852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 0.1 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:20 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -n + 3*p + 13, 4*n + 4*p - 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 935899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/4 - 257997*s**3 + 88751483940*s**2 - 10177605948921100*s + 183168153104395500.\nAnswer: (s - 343990)**3*(s - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011200001 (base 3) to base 9.\nAnswer: 404601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 109 = -403. Let d = 296 - o. Suppose -28 = 4*l - d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let x = -0.1 - 0.1. Let t = x - -0.3. Which is the third biggest value? (a) 4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*p = 78*p + 912. Suppose g - p = -g. Suppose 2*f + 0*f - g = 0. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 1. Let y(n) = -n**3 + 8*n**2 - 12*n + 31. What is the remainder when y(6) is divided by g(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-30))\/((-6)\/122) and -133\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/9 + 2 - ((-268)\/(-84) - 4). Let u = -3.1 + 0.1. Which is the nearest to u? (a) -1 (b) r (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2503 + -16?\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = 5*n, 3*a + 4*n = 14. Suppose -2*o + 9 = 5*x, -a*x + o = -3*o - 18. Let s(h) = -434*h + 3029. Let i be s(7). Sort x, 2, i, 0.\nAnswer: i, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -301.3037 and 494601.\nAnswer: 494299.6963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j + 16 = v, -v = 2*j + 8. Which is the smallest value? (a) -0.1 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - -4 - (2 - (-49 - -23)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102686 - 288686. Round o to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f**3 + 2682*f**2 - 12228*f - 14896 = 0. Calculate f.\nAnswer: -196, -1, 38\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42128 = 1124*y + 540 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199157280 divided by -8?\nAnswer: -24894660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -479ce0d?\nAnswer: -479ce12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3. Let d = -5.1 + w. Let n be ((-136)\/(-16))\/17*-6. Which is the second biggest value? (a) d (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119729681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8034 and 3708?\nAnswer: 48204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 466*n**5 - 50*n**2 + n - 1243. Find the second derivative of k(y) wrt y.\nAnswer: 27960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.081 + 0.021. What is the closest to -0.1 in -2\/3, h, -4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -2\/11, 2\/9, 0.2, -0.2, -2432?\nAnswer: -2432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 29370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1884762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**2 - 2 - 13*r**2 - 10.\nAnswer: 3*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4214232 (base 7) to base 15.\nAnswer: a0839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 1902*f**3 - 110 + 1912*f**3 - 113.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 16, 14, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23997594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Let x = p + -2. Let v = -0.03 - 0.27. Which is the third biggest value? (a) x (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12291a (base 15) to base 5\nAnswer: -210310200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21803674031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5531 and 2.95.\nAnswer: -4.581645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100010110 (base 2) in base 4?\nAnswer: -1130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23d62 (base 15) to base 5\nAnswer: -12130032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*a - 345 + 323 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = 3 + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*n - 305 = 583. Let 19\/9*w**2 - 1\/9*w**n - 35\/9*w + 17\/9 = 0. What is w?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = a + 3*o, -190*o + 187*o = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 78)\/(18\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -60. What is the highest common factor of u and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4*c + 6. Let k(p) = 3*p**2 + 9*p - 13. Let h(y) = 2*k(y) + 5*u(y). What is the tens digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 - 18*z**2 - 296*z + 1218. Calculate p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.328681 days in weeks?\nAnswer: 2.618383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235741 is divided by 82.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/7 + 187260*x**2\/7 + 3182842*x\/7.\nAnswer: 2*x*(x + 17)*(x + 93613)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 67, 103, 139, 175?\n\"Answer: 36*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -16 + 6 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 15*z + 12. Let w be -2*1 + 7 + 6. Let c be n(w). Let l = c - -123. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x**2 + 100161 - 100168 + 8*x**3 - 2*x**3 in the form g*x**3 + m + a*x**2 + q*x and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/662 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/(-10))\/(13\/5785) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 - 1. Let l be w(-2). Let u be (5 + -8)\/(l\/(-2)). Find the third derivative of -5*d**u + d**2 + 11*d**5 - 5*d**2 - 5*d**2 wrt d.\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2, 108, -2\/9, -0.3, 1\/6?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/5895 and -41\/1310.\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*y**3 - 160*y wrt y.\nAnswer: -1590*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -807 + 569. Let r = 235 + g. What is the smallest value in 3, r, 1.57?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 18a82a7?\nAnswer: -18a8304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 263 - 32. Let m(z) = z**3 - 8*z**2 - 9*z - 4. Let a be m(9). Let h be a\/((-2)\/9 + d\/27). Put h, 23, 1\/5 in ascending order.\nAnswer: h, 1\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 61144349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-2)\/10*14\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 225 = -28*k - 0*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -2.92. Let s be (7\/(-14))\/((-1)\/(-8)). Which is the second smallest value? (a) 5 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 34 + 43 = 5*d, 5*c - 5*d - 40 = 0. Let n = -2 + c. Solve -n = m - 4*a, m - 6*m + 17 = -2*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.89 + 7.53. Which is bigger: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-3) + 6\/9. Suppose -2*c = -5*w - 3*c + 215, -3*c + 183 = z*w. Let a = 116 - w. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1441437408 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011222020 (base 3) in base 8?\nAnswer: -55413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 6*a + 3. Let s be t(-6). Suppose -512 - 4 = 144*f - 156*f. Find the third derivative of 9*r**3 - 4*r**3 + 0*r**2 - s*r**2 - f*r**3 wrt r.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 43 + 36 = -2*z - 2*w, 3*z - 24*w + 117 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 620 - 342. Let c = -57 + -129. Let h = c + n. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -347540.\nAnswer: -6\/86885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10607047 divided by -1\nAnswer: -10607047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h - 9. What is the units digit of k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2136 = 203*r + 1315 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*r - 56, 47 + 61 = 4*k + 5*r. Solve 25 - k = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19245078 is divided by 3340.\nAnswer: 3338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 45*s**2 - 17*s - 20. Let f(z) = -15*z**2 + 6*z + 7. Let j(w) = -17*f(w) - 6*u(w). Let l be j(1). Let a = 24 + l. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237 * -0.04\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-8 + -1)) + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4797 and 6647004.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 - 645*l\/2 - 3654.\nAnswer: -3*(l + 12)*(l + 203)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -410 and 6.2942?\nAnswer: -2580.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 61*k**2 - 1712*k + 8982. What is g(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7559 and -4?\nAnswer: 7.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-28))\/(65\/364)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 24*y + 5*y**2 + 55 - 33 - y**2.\nAnswer: 2*(y + 1)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 5*z + 12. Suppose 3*c = -75 + 90. Suppose -c*m = -5*v + 25, 2*m + 41 - 36 = v. What is r(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/5 + 716*n\/5 - 288 = 0.\nAnswer: -360, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6957606?\nAnswer: 2, 3, 1159601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 12. Let n(s) = s + 1. Let d(m) = -k(m) + 3*n(m). Let r(i) = 2*i - 19. Let w(o) = -7*d(o) + 3*r(o). Determine w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 - 10*t - 5. Let u be j(-8). Suppose 0 = -2*y + 11 - u. Let b(m) = m**3 - 10*m**2 + 8*m + 12. Let d be b(9). Solve -d*w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-75)\/(-99) - (-24)\/(-36)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, 1.7, -0.3, -1\/2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 - 10 = 0. Let s(q) = q**2 - 9*q + 9. What is the remainder when (-2)\/(z\/70) - -1 is divided by s(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1017, 880, 743?\n\"Answer: -137*o + 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1512, -1500, -1486, -1470, -1452?\n\"Answer: j**2 + 9*j - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 619906 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -645780 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-204))\/(-57 + 837288\/14688).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:02 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 9*n**2 - 7*n - 5. Let w be x(-5). Let p be 16\/9 - 2\/(-9). Suppose -w*f + 8 = -p. What is the third biggest value in f, -1\/4, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 208 + 6*k**2 - 36.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.406.\nAnswer: -2.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -94, -124, -156?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1394 and 87210.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = s - 29. Let k be (-10)\/45 + 112\/s. Let m(r) be the third derivative of -r**6\/120 + r**5\/12 + 5*r**4\/24 + 5*r**3\/6 - r**2. Determine m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Let c = 125 + -179. Let t = c - -63. Calculate the remainder when t is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 28448*l - 113808.\nAnswer: (l - 4)*(l + 28452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53785\/828 - -1533\/23. Find the common denominator of z and -13\/2076.\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y**2 + 73 - 22*y**2 - 29*y**2.\nAnswer: 2*y**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 31*i = 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1679 - 1436. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*s - 4*p + 8, -4*p = 2*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6 = 3*w, -4*w = w + 2*h - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -63*f**3 - 18*f**2 + 15*f + 38. What is the tens digit of r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 2331, 118 in ascending order.\nAnswer: -81, 118, 2331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 23*s**3\/6 - 3*s**2\/2 + 3*s. Let j be f(-3). Let x = -141\/2 - j. Sort x, 4, 4\/5.\nAnswer: 4\/5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.4 in -0.5, 2\/5, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 4*a + 10*a)*(1183 + 35*a**2 - 53*a**2 + 20*a**2) to b*a**2 + q + l*a + j*a**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 340.39075 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 447.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55866 is divided by 27860?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -51*n + 2. Suppose -3*t + 2 = -4*t. Let a be m(t). Suppose -58 = -2*k + d + d, -4*k + a = 2*d. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24053 and 2878103?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 + f**2 + 3*f. Let v(h) be the first derivative of -7*h**4\/4 - h**3\/3 - 5*h**2\/2 + 4. Determine 5*c(w) + 3*v(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1672?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + 2 + -16 + (22 - 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25972 is divided by 419.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 145133.906 to the nearest 100.\nAnswer: 145100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -831*b**2 + 60*b - 136. Let o be i(-32). What is o rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)*9\/3. What are the prime factors of (6\/w)\/2 + 14?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/4 - 285*g**2\/8 - 351*g\/4 - 35 = 0 for g.\nAnswer: -140, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -87, -71, -51?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94702 is divided by 241?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(0*h**2 + 3*h**2 - 4*h**2)*(-16 + h**2 + 16).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 662656934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*q - 3*l, q + 0*q = -5*l. Let o = -0.39 - 0.01. Put o, q, 4 in increasing order.\nAnswer: q, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10\/7, 2, -1\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 90?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 - -1 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:11 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2524795 - 1210748 = -21*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, 7, 2, 1, -1995\/2, 0, -3 in decreasing order.\nAnswer: 7, 2, 1, 0, -8\/5, -3, -1995\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, k: 8, h: 2, e: 2}. Give prob of sequence kkk.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 164, 1323, 4474, 10613, 20736, 35839, 56918?\n\"Answer: 166*z**3 - 3*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181903 is divided by 25969?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0 (c) -5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 divided by -178?\nAnswer: 541\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 8, d: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 4*g - 7*g**2 - 3*g)*(4 - 2 - 3)*(-561*g - 549*g + 1107*g + 76) as j*g + c*g**2 + p*g**3 + m and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c**2 - 12*c - 6. Let d(z) = 17*z - 6*z - 16*z**2 + 7 + 2*z. Let a = 949 + -952. Let i(k) = a*d(k) - 4*h(k). Find u, given that i(u) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20417143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 93444.\nAnswer: 1027884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -19 - (3 + -3 + -6)) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/289, -29\/3, -3, 1\/5?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-32) + (-327987119031)\/5168. Round j to the nearest one hundred thousand.\nAnswer: -63500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, 72, 1 in decreasing order.\nAnswer: 72, 5, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299899713?\nAnswer: 3, 137, 431, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -4*u - 2\/9*u**4 - 1\/30*u**5 + 0 - 2\/3*u**2 - 5\/9*u**3. Find n such that y(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.57 - -0.08. Let h = 0.0033 - -3.6467. Let u = h - v. What is the third smallest value in -4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 0.63, 6?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**6\/6 - 8*o**3\/3 - 8. What is the third derivative of l(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -428.8 - -423. Let g = a + 6.8. Sort 3, -0.3, g, -1 in increasing order.\nAnswer: -1, -0.3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44535162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, 952, 5, 13 in descending order.\nAnswer: 952, 13, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161762?\nAnswer: 2, 3, 7, 139, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487153749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*r - 19 = 5*l, 5*l + 15 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 + -1221\/2. What is the common denominator of a and ((-166)\/6 + 0)\/(240\/(-90))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**3 - 9*g**2 + 7*g - 7. Let u = -101 - -95. Let d(m) = 10*m**3 + 8*m**2 - 6*m + 6. Let a(v) = u*z(v) - 7*d(v). Factor a(x).\nAnswer: -2*x**2*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 690575072 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by 2519?\nAnswer: -101\/2519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + 7. Is p\/(2 - 417\/209) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -58.5 and 7064490.\nAnswer: 7064431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:02 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8922.97442 to the nearest 10.\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -20?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -6. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 5}. Give prob of sequence yx.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 37.3. What is the nearest to -0.2 in -3\/5, o, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3 - 42. Calculate the smallest common multiple of 7 and (-32)\/(-6)*n\/(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 2. Let h = 6.6 - s. Which is the closest to 1? (a) 2\/3 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 times -12.9?\nAnswer: 8.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 6*o - 267. Let w(c) = -7*c**2. What is m(w(d))?\nAnswer: -49*d**4 + 42*d**2 - 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b**2 - 2*b**2 + 2*b**3 - 130*b**2 - 2*b**3 + 21*b**4 wrt b.\nAnswer: 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + 7 + -3. Suppose -5320 = -a*x + 1544. Let d = -2468 - x. Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9662, 13, 5 in descending order.\nAnswer: 9662, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29443 = 6*g - 30373. Solve 11*v = -67 + g for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 134, 5 in decreasing order.\nAnswer: 134, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, b: 4}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69\/15 + (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*i, -a + 4*i + 7 = 2*a. Sort 20, -2, a in descending order.\nAnswer: 20, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 153, 362, 667, 1074, 1589?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = l - 2*s, -5*l + 3*s + 9 = 0. Solve -4*v = -4*b - 16, -3*v - 2*b - 8 = -l*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.08, 0.9, 2, -4, -0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121100 - -40114?\nAnswer: -30431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 306689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(520\/(-62)) + 3\/(-4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -418439*l + 1587. Let h(t) = -1054*t + 4. What is 1587*h(c) - 4*n(c)?\nAnswer: 1058*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1004275\/(-24565) - 2\/17.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 135143361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {i: 9, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = 4*p, -6*w = -2*w - 5*p - 17. Suppose 3240000 = -0*q - w*q. Round q to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*a - 5*c, -a + 2*c + 29 = -0*c. Suppose 0 = -27*j + 1892 + 700. What is the remainder when j is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let o = 0.9 - k. Sort o, 2, 0.1 in decreasing order.\nAnswer: 2, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 362071, -5, -3, -2 in descending order.\nAnswer: 362071, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146019 - 169480 = -37*z + 389829. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116, -120, -124?\n\"Answer: -4*w - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/2 + 19*z**4\/2 + 40*z**3 - 50*z**2.\nAnswer: z**2*(z - 1)*(z + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63.11833 and 1670.096.\nAnswer: 1733.21433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/(-28)*(-63)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -133315141753600?\nAnswer: -133315141753598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 4736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0*k**5 + 0*k**2 + 0*k**7 + 0*k**3 + 0*k**6 - 3\/56*k**8 - 9*k - 1\/3*k**4 + 0. Find the third derivative of r(m) wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v + 2*v - 8*v to the form c*v + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from bbffqxbfbfxffbfbfb?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 8*y. Let p be 8\/(-3)*90\/40 - 0. Give v(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640880\/21 + 30518. What is the closest to 2 in -1\/2, i, -0.13, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29146675 * 6\nAnswer: 174880050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoppotcl. What is prob of sequence oct?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 26*a**2 + 164*a - 14. Let p be u(-15). Is p at least as big as 1\/17609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -34, -50, -66, -82, -98?\n\"Answer: -16*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/24*q**3 + 8*q - 1\/4*q**2 + 17 - 1\/80*q**5 + 1\/24*q**4. Let d(m) = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/2, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6539 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 18615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 107*s**2 + 5*s + 1. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2190825 divided by 6741\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1639 - -1649. Solve 4*y + 9 = -3*m, 8*m = 6*m - 4*y - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12412 divided by -2\nAnswer: 6206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (24 - (40 + -21))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 13667387232*u + 13667387232*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.8 - -15. Suppose 0 = 4*v - 5*d + d, -4*v - 2*d = 6. Which is the nearest to -0.1? (a) v (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 2*q, 0 = 3*h + 4*q + 20. Let n(t) = 2*t**2 + 5*t - 4. Let y be n(h). Let z(c) = c**3 - 6*c**2 - 6*c - 1. Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 42. Let r(u) be the first derivative of u**2\/2 + 3*u - 15. Let y be r(2). Solve y*j - 5 = -w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4452 and 1869?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -46 - 9*z + 2*z + 48 + 0*z. Let n(m) = -2 + 3*m + 6*m - m. What is -6*n(d) - 7*r(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10*k**2 + 23592*k + 2*k**3 + 23594*k - 47184*k to the form o + t*k + n*k**3 + y*k**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80470 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1996, -4183, -6372, -8563, -10756, -12951?\nAnswer: -15148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 37330*b**2 + 3*b + 5. Let t be u(-2). Let h = -25981639\/174 + t. Calculate the common denominator of h and -71\/14.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -516*m**2*t + 2*m**2 - 4*m*t - 7*m + 3*t wrt m?\nAnswer: -1032*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)\/d*d**(-7))\/((d*d**3*d)\/((d**8\/d)\/d)))**7)**(1\/13) assuming d is positive.\nAnswer: d**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -27, -80, -1, -21, 2 in decreasing order.\nAnswer: 2, 0, -1, -21, -27, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8301.\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -1?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/35 + (-1522)\/(-10). What is the highest common divisor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(200) - (-2 + sqrt(200)))*5 + 1))**2.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5155*i**4 + 99*i**3 + 5*i**2 - i + 102306 wrt i?\nAnswer: 123720*i + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20324.\nAnswer: 2, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**13))**(-20)\/(w**(-17)\/w*w*w**(-22\/3)))**50 assuming w is positive.\nAnswer: w**(-35350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 1290, 1716, 2186, 2694, 3234, 3800?\nAnswer: 4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 40. Suppose -3*b + 10 = -d. Suppose -b = -2*l + 4*l. Sort l, -1, 5 in ascending order.\nAnswer: l, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let h(f) be the second derivative of -2*f**5\/15 + 9*f**2 - 30*f. Let x(l) be the first derivative of h(l). What is k(x(r))?\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131.19 * 3.\nAnswer: 393.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 + 6*z + 2. Let h be p(-3). Suppose 0*a = u + 3*a - h, -63 = -2*u - a. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 times -62.7?\nAnswer: -8151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3248660 to the nearest ten thousand.\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -182, -428, -776, -1226?\n\"Answer: -51*y**2 + 9*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 3*f**3 + 2*f**3)*(-5 + 2 + 4) + 3*f**3 + 4*f**3 - 5*f**3 - 4610*f**2 + 4610*f**2 + 247*f**3.\nAnswer: 250*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + a)*(-514 - 637 + 502) as t + w*a and give w.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144297779 divided by -3?\nAnswer: -144297779\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2549594 * -0.05\nAnswer: 127479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**2 + 0*g**2 + 8*g**4 + 0*g**4 - 4*g**2 wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 9*m**2 - 4*m - 18. Let n be j(8). Does 7 divide -3 + 4 + 3 + n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 15. Let s be 3\/(((-18)\/(-8))\/(-3)). Let y be (-18)\/(-8) + 1\/(-4). Sort l, s, y in ascending order.\nAnswer: l, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11972\/20 - (-6)\/15. Let x = 1047 - h. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000580065 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 506978211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgemxep. What is prob of picking 1 h and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13332 + -5?\nAnswer: -13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.064 + 0.014. Let w = -0.05 - q. What is the nearest to 0.1 in 4, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1652 + -254. What is the remainder when i is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083 - 769 = -259*r - 1075 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.053382 micrometers in nanometers?\nAnswer: 3053.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -14, -37, -76, -137, -226?\n\"Answer: -p**3 + p**2 - 9*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -4 (c) -0.852 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 2*z. Let o(u) = -u. Determine n(i) + 5*o(i).\nAnswer: i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtoweowtditt. What is prob of picking 1 t, 1 i, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100 (base 2) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 478560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3390 - -3532.7. Let y = j + -143. What is the closest to 4\/13 in -2\/15, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -18.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from wlwwlwwwlwwwlllwww.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4)\/x**(-29)*(x**41)**(1\/3) assuming x is positive.\nAnswer: x**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129272.\nAnswer: 2, 391159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from uzghugthuzgtgu.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8) + 63\/(-12). Let c be (2 - -1) + (-5 - -3). Let n(i) = -2*i - c - i + 4*i. Determine n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11264 or -234?\nAnswer: 11264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -39. Let g(p) = 2*p + 8. Let a(k) = 2*k + 9. Let i(j) = 4*a(j) - 5*g(j). What are the prime factors of i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -35*a**3\/3 - 521. Let d(j) = 5*j**2. Determine d(f(g)).\nAnswer: 6125*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785732836 to the nearest integer?\nAnswer: 28031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-132) + ((-2)\/(-3))\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnxn. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, -9, 3, 2\/7.\nAnswer: -9, 2\/7, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3920 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 440 - 437. Put -5, b, 2, -3 in increasing order.\nAnswer: -5, -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 3*b - 3*b. Suppose 2*g = 4*q - 4, -2*g + 3*q = -3*g + 18. Let o(m) = 0*m**2 - 3*m**2 + g*m**2. Calculate o(f(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 778978105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232904878666 + 9*p**3 + 232904878666.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 12:38 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/31914 and -31\/2999916.\nAnswer: 2999916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3710720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 121\/(-1) - (3 - 4). Let a = o + 243. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let h be 5\/((-5)\/2) - (-16)\/6. Let m = 1688 - 1688.1. What is the nearest to h in -7, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 2754*k - 8704*k + 10.\nAnswer: -5950*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 13 = 15*q. Let j be 968\/154 + q\/(-7). Solve j = -a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-36)\/(-15))*(-15)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i - 102. What is the remainder when 952 is divided by g(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30002 - -203022?\nAnswer: 113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 + 10\/8. Let k(x) = -2 - 7*x + 4*x - 2*x - x**v + 0*x. Suppose -4 = -4*o - 12. What is k(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6447435 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9006\/180)\/19 - (-6)\/(-45)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6464, -12916, -19368, -25820, -32272?\n\"Answer: -6452*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28503951701 - -1945.\nAnswer: 28503953646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = 2*b. Let v(p) = p**3 + 6*p**2 - p - 5. Let x be v(b). Let w = -3\/149 - -462\/745. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10186194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 0.48?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(396) + 0 + sqrt(396) + -1))**2 - (-1 + sqrt(396)*-2 + 3)**2.\nAnswer: -3 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.912407 rounded to two decimal places?\nAnswer: -60.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -361*h**6\/30 - h**5\/10 - 628*h**4\/3 + h**2 - 9352*h. Find the third derivative of n(v) wrt v.\nAnswer: -8664*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 4. Suppose -3*u - s + 29 = -5*s, -s + 64 = 4*u. Let h = -9 + u. Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -177, -419, -779, -1269?\n\"Answer: -2*p**3 - 41*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879550 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1.29592, 0.06, -2\/7 in ascending order.\nAnswer: -1.29592, -2\/7, -2\/13, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = 59*k - 2910. Put -3, 3, k, -4 in decreasing order.\nAnswer: k, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*h**2 + 5)*(-24*h**2 + 7*h**2 + 100*h**2).\nAnswer: -166*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (1*78)\/(39\/52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h + 36. Let k be q(5). Suppose v - k = -3*l, 2*v - 5*l + 6 = -6. Determine w so that 1\/4*w**v + 1\/4*w**5 - 1\/4*w**2 + 0*w + 0 - 1\/4*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*r = 434*r - 17*a - 492, -5*r - 4*a = 92 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9219)\/70)\/439*(-2)\/((-168)\/5)\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k**3 - 10*k**2 + 28*k + 4. Let h(p) = -120*p**3 - 124*p**2 + 336*p + 50. Determine 50*d(y) - 4*h(y).\nAnswer: -20*y**3 - 4*y**2 + 56*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 67*m + 30. What is the remainder when 106 is divided by n(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*w, 4*n + 20 = -2*w + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2 - 908*p + 64284 = 0.\nAnswer: -974, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2545367 - -a?\nAnswer: 2545375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = -42. Suppose 18 = 4*n + 2. Suppose i = n*i - m. Calculate the smallest common multiple of 4 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and -119\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 4 + 1 + 6672\/(-240). Let i = j - -422\/15. Factor -2\/3*a**3 + 4*a**2 - 8*a + i.\nAnswer: -2*(a - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 6) + -8 + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62\/7 - -369\/14. Let p = 18 - k. Suppose -773*d - 540 = -638*d. Which is the closest to 0? (a) p (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000037847 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862*w**3 - 2902*w**3 + 684*w**2 - 684*w**2 + 5766*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130, 133, 136, 139, 142?\n\"Answer: 3*f + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63294.4364 - 275.6?\nAnswer: -63570.0364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 2*n = -11, 0 = 2*p + 3*n - 29. Suppose 0*d + d = -v + p, 0 = -5*d - v + 81. Solve 0*a - d = -a - 4*s, 0 = 4*a + 5*s - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:17 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*o - 2082*o - 2043*o - 2614*o as y*o + n and give y.\nAnswer: -6791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*c + 2 - 2)*(c + 2*c - c) + 2*c**2 - 2*c**2 + c**2)*(2 + 6*c - 2)*(4*c - 2*c - 3*c) + 4*c**4 - 4*c**4 + 2*c**4.\nAnswer: 92*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c0 + -d962?\nAnswer: -dc42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*((-29 + 23 + 14)*(-2 + 2 - u) - 2 + 2 - 2*u) in the form g + t*u and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 20 - 10 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**32)**(-2\/25)\/(r\/r**(-26)*((r**(12\/5)\/r)\/r)\/r))**(-2\/19) assuming r is positive.\nAnswer: r**(1452\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + 0\/1 + 1. Let b(q) = -q**2 + q. Let l(p) = 4*p**2 + 3. Let r(s) = 2*b(s) + l(s). Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*k**4 + 120*k**3 - 41*k**2 - 84*k - 20.\nAnswer: (k - 1)*(k + 5)*(5*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + -240851181531\nAnswer: -240851181530.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14443 <= -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - 6*(340\/8)\/17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47.31 and 0.619?\nAnswer: 29.28489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5073 - 10140 + 374*z - z**2 + 5069. Let y(o) = 2*o. What is n(y(i))?\nAnswer: -4*i**2 + 748*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164168 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: What is 184653652 to the power of 1\/3, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -68dc (base 14) to base 15\nAnswer: -5601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 5. Let k be (-56)\/(-12) - 4 - (-4)\/(-6). Determine o(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1 - (7 - 310). Suppose 5*x - 398 = -3*b, -b - 2*b + 414 = -3*x. Let z = l - b. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:01 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a millennium in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11897, 23769, 35649, 47549, 59481, 71457, 83489?\n\"Answer: 2*n**3 - 8*n**2 + 11882*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184 + -218.9. Let h = -46 - -77. Let m = h + f. Round m to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1893*m = -5194*m + 16505 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35965, -71927, -107889, -143851, -179813, -215775?\n\"Answer: -35962*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-32)*8 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-12)*(-5)\/((-70)\/(-4)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**7 - j**4\/3 - 5*j**2\/2 + 25*j + 24. Let l(r) be the first derivative of x(r). Find the third derivative of l(m) wrt m.\nAnswer: -2520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 2948.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*x + 11873 = 0, 2*k = -x + 20476 + 3234. What are the prime factors of k?\nAnswer: 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 + 3*g - 7. Let l be 21\/(-14)*20\/(-6). Suppose 2*w - 2 = 0, l*b = -0*w - 5*w + 105. Calculate the lowest common multiple of x(5) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 1, -20, -59, -122, -215, -344?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -20*w + 230. Let f be y(-25). What is f rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 6:04 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0 (base 12) in base 9?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -145?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-41) assuming k is positive.\nAnswer: k**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7586319 is divided by 42.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1801\/722 - 2\/361. What is the closest to 6\/11 in -3, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289146 = -236*y + 93*y. What is the greatest common factor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 7*o**2 + 33*o - 73. List the prime factors of q(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -49 - -16) + 15 - -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-84))\/(34*(-33)\/(-3927) + 780\/63)\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3512, 3522, 3538, 3560, 3588, 3622, 3662?\nAnswer: 3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 8. Let q(v) be the first derivative of v**2 + 9*v + 5. Let h = 6 - 4. Let r(l) = h*q(l) + 3*o(l). Give r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13370643.\nAnswer: 3, 11, 13, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2932454 and 168?\nAnswer: 35189448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j - j + (-2*j - 4 + 4)*(4 - 2 + 1) - 2*j - 2 + 2 + 3.\nAnswer: -10*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12482?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -220*p**5 + 101105*p**4 + 1500750*p**3 + 1989425*p**2 + 651620*p + 61620 = 0. Calculate p.\nAnswer: -13, -1, -1\/4, -2\/11, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/284 and (1\/35)\/((154\/(-175))\/11).\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:15 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250285796?\nAnswer: 2, 62571449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-4)\/(-8))*(-40)\/(-15). Solve -2*a = -5*k - 29, -q*k + 14 = -a + 36 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823301.\nAnswer: 3823301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 9*i**2 + 8*i + 4. Let r be f(-8). Suppose -r*d = -22830982 - 8278034. Suppose 422746 = h - d. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-28 - -3)*(0 - 1) and 54\/24 + -3 + 432\/64.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 19 + 197 = 2*m, 5*b = -4*m - 400. Which is smaller: -85 or b?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1247 (b) 0.1 (c) -170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1514, -4, 6, 12, -1 in decreasing order.\nAnswer: 1514, 12, 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8. Let j(f) be the second derivative of 4*f**5\/5 + f**3\/6 + f**2\/2 + 2433*f. Calculate j(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 3*m**3)*(-4*m + 3*m - 4*m) + m**4 + 2*m**3 - m**4 - 2*m**4.\nAnswer: 13*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*u - 7*u + 47 = 0, 5*b - 3*u = 71. Suppose 142*s - 1467 = -473. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose -t - 1 = -l. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:57 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 521 + -372. Is a smaller than 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 10*s**3 - 51*s**3.\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 3, -5, -317?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123897*q**3 + 3*q**2 - 4*q**2 + 123881*q**3.\nAnswer: -16*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/((-12)\/(-12)))\/(-15)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*g**2 - 2*g - 117 + 117)*(32 - 7*g - 32).\nAnswer: 826*g**3 + 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 16831.\nAnswer: 84155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 92. Let d = 10 - 19. Let p be w(d). Let f(b) = -12*b. Determine f(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1, 6, -6, -6859, -2 in descending order.\nAnswer: 6, 3, 2, 1, -2, -6, -6859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.93 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 152*q - 780. Let k be c(-5). What is z in -32\/23*z**4 + 0*z + 26\/23*z**3 + 0 + 10\/23*z**k - 4\/23*z**2 = 0?\nAnswer: 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 200, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*m + 7*m + 4*c, m + 4*c = 0. Calculate the common denominator of (-350)\/m + (-4)\/16 and (2\/(-32))\/(3\/183).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 148389 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*((-4)\/(-8))\/((-25)\/(-500))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 154*s + 3624. Does 6 divide m(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 3. Let j be b(3). Let p be (0 - 3\/(-12))*j. Suppose 0 = 2*d - f, -2*d + p*f - f = 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -250, -125, 146, 557, 1102, 1775, 2570?\nAnswer: 3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chb when three letters picked without replacement from {c: 1, h: 1, z: 3, e: 5, s: 1, b: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38294 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18547 - -104?\nAnswer: -18443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.691 - -0.009. Let c = -0.3 + i. Let z = 0.45 - c. Which is bigger: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -134.65. Let b = 1.15 + y. What is the third smallest value in b, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19*f + 41. Let h(m) = -83*m - 163. Let w(k) = -9*b(k) - 2*h(k). Let z be w(-9). What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 + 3*z + 1. Suppose -14 + 19 = i. Suppose i*f + 3*x - 10 = 0, 2*f - 3*f = x. Calculate w(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 162516, 324887, 487268, 649665, 812084, 974531, 1137012?\n\"Answer: o**3 - o**2 + 162367*o + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -5 (c) 3 (d) -0.031 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*h**3 - 3*h**3 + 2217*h - 146*h**2 + 146*h**2.\nAnswer: 3*h**3 + 2217*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 1. Suppose 0 = 3*g - 7*g. Let k be x(g). Let t be (-3)\/9 - k\/2. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:13 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33305, -33308, -33307, -33296, -33269, -33220?\n\"Answer: t**3 - 4*t**2 + 2*t - 33304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11108545.\nAnswer: 5, 7, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 take away -6.8?\nAnswer: -22.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*f + 4*a, -2 - 10 = 3*a. Suppose -148 = -x + 5*w + 27, w - 805 = -f*x. Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from qzqqqqqzqzqqzqqz?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 7:26 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 3*s + 2*s + (6 - 3 - 1)*(0 + s + 0) + (-2 - 2 + 6)*(-4 + 4 + 2*s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v + 156*v - 80*v + 14*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1163, 1713, 2263, 2813, 3363, 3913?\nAnswer: 4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1177 and 642?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 7*z - 120. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:23 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 + 371. Calculate the remainder when b is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 6. Let u be -12*(2 - 9\/6). Is 3 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 63541?\nAnswer: -63546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 28. Let j(i) = 66*i - 8. Let g be j(f). Suppose -3*l + 389 = -4*u, 3*l + 5*u = 7*l - g. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 9, -10, -1, 14, 5 in increasing order.\nAnswer: -10, -1, 5, 9, 14, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1718 - -1721. What is the nearest to -9 in -13, n, -2, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186842832 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025540267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -2*c**2 - 1\/48*c**4 - 1 + 1\/3*c**3 - 30*c. Factor u(z).\nAnswer: -(z - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {n: 2, e: 1, a: 1, g: 6, u: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-18)*8)\/(4\/24). Let i(m) = m**3 - 10*m**2 + 18*m + 5. What are the prime factors of i(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + 0. Let u = k - 35.954. Let z = u - 0.04600011. What is z rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/43928 and 95\/779144?\nAnswer: 14803736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -12*p. Let a be s(-1). Suppose -5*r - a = -9*r. Suppose o - 6*o + 161 = -r*t, -4*o = -3*t - 130. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 11*g + 8*g - 2*j + 80 = -5*j - 0*j, 0 = 170*j + 3400 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 5. Let y be t(5). Calculate the greatest common divisor of y and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24635987 is divided by 547466?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i - 2 - 2*i - 1. Let v = 182151 + -182152. What is n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {g: 1, b: 2, t: 1, o: 1, a: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113506 and 3127389.\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36162411 by 36162411.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -25843*n + 25847*n + 19, -7*n + w = 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/(-3 + -1))\/2)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0*b**3 - 3\/10*b**6 + 0*b**4 + 0 - 3*b**2 - 14*b + 0*b**5. Differentiate a(t) with respect to t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.34521 + -1169?\nAnswer: -1115.65479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 30 + 3)*(-4*w + 1 - 36*w + 6*w + w).\nAnswer: -1815*w + 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 76. Suppose 0 = -s + 115 + p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h + 5*g, 0 = -5*h + 2*g - 2 - 2. Suppose -5*y + 196 + 94 = h. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 933 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1336.167047 to the nearest ten.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 13*d + 50. Let s = -148 + 133. Let w(n) = 4*n + 44. Let i be w(s). Let o be b(i). Solve 2*h + o = 2*u - 6*u, -h + 2 = u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - (-5 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(143)\/(4*2*sqrt(11))) - (1 + (sqrt(1404) + sqrt(1404)*1 - sqrt(1404))\/(1*sqrt(27))).\nAnswer: -17*sqrt(13)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j + 33*j + 19*j)*(-3*j**4 - j**2 + j**2).\nAnswer: -132*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 - 1. Let b be m(-4). Let a be 0 + b + -35 - 0. Let x be 2\/a*(-8)\/6. Is 1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474 or -3316\/7?\nAnswer: -3316\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -45 (b) 0 (c) -5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, 1.6, 0.5 in descending order.\nAnswer: 1.6, 0.5, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from neenennnne.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 1038*k**2 - 98373*k + 43183308.\nAnswer: 3*(k - 271)**2*(k + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 35 - 16 + 24*q - 54*q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 + 5)*(-2*i + 4*i - 4*i)*(-1 + 1 - 1 + (0 + 3 - 1)*(5 - 3 + 0) - 3 + 7 - 2).\nAnswer: -100*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 4. Let y(g) = -g + 1. Determine 2*m(p) + 6*y(p).\nAnswer: -14*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (128\/(-60) - -2) + (-3909)\/45. Calculate the common denominator of 11 and (-3)\/(h\/(-68)) - -3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 15 - 25 + 13*s to r*s + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from xuvgxvxxxxguv?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -66. Suppose -u*o - 56 = -15*o. What is the lowest common multiple of o and 76?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 607 by 607.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-27)\/(-6) + -3). Suppose -2*k + z*k = 106. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2) + 66\/12 + -6. Suppose 4*v - 14 = 3*d - 138, 2 = -a*v. What is the lowest common multiple of 24 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23096722.\nAnswer: 2, 11, 95441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1937265.599999 - -1937264. Let z = -1.6 - x. Round z to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430110954 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 519626*j + 3*j**2 - 58 - 519645*j. Determine y(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 540 = -163*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1) - 184\/(-64). Let u(p) = p**3 + p - 4. Let d be u(0). Let k be 54\/10 - d\/(-10). What is the smallest value in 4, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, b: 7, c: 2, o: 8}. Give prob of sequence cofo.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*y + 39 = 0, -3*k + 5*y = -0*k + 7. Calculate the highest common divisor of k and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)*v\/v**(-2\/19))\/((v**(-3\/5)\/v*v*v)\/(v\/(v\/(v*v**(-1)\/v*v))*v)) assuming v is positive.\nAnswer: v**(219\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 2*n**2 - 2*n + 1. Let f be i(1). Let u(w) = w + 49. Let y be u(f). Suppose -8 = -j - 5*m, m + y = 5*j - 69. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 8*i**2 - 5*i + 3. What is d(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5 - 8625*c**4 + 3479555*c**3 + 10490365*c**2 + 10507590*c + 3505400 = 0.\nAnswer: -2062, -1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**5)\/l)\/l*l)\/l*l*((l**0\/l)\/l)\/l*l*l*(l*l**(-2\/7)*l)\/(l*l\/l**3) assuming l is positive.\nAnswer: l**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/18)\/(2\/12). Suppose 7*a - t*a = 5*m - 396, 0 = m - 4*a - 69. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856602 divided by -142767?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73405?\nAnswer: 5, 53, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 60. Let i = 1\/446 - 517\/31666. Let p = i + 361\/426. Calculate the common denominator of l and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16077871?\nAnswer: 31, 313, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-280)*-71*-4 and -77\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*f + 18, -16*m - 73 = -21*m + 3*f. Solve -m*i + 22*i - 4*v - 11 = 0, -5*i = -v - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 242 = -176 + 1789 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 47106778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*y = -0*y - 91, -i + 85 = -3*y. Suppose 91*z = i*z + 138. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93985.59ug to tonnes.\nAnswer: 0.00000009398559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*-1)\/(sqrt(4) + -2*(sqrt(4)*-3 - sqrt(4))) + (2*sqrt(119)*6)\/((sqrt(56)*-1)\/sqrt(8)).\nAnswer: -104*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27996960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189 - 14*l + 17*l - 3*l + 274*l**2 + 182 wrt l.\nAnswer: 548*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601096 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22618 divided by 263.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*x = -2, 2*t - 19 = t - 5*x. What is the remainder when 2 is divided by 7 + t + (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let z(s) = -140*s - 21. Let x(w) = -14*w - 2. Let i(y) = 22*y - 1. Let u be i(1). Let l(r) = u*x(r) - 2*z(r). Calculate g(l(d)).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 - 15 = -5*i, -i = -3*y - 9. Suppose 3*w + 2*o - 119 = -0*o, 2*o = -w + 41. Solve -w + 42 = i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000122355 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/3)\/((-33)\/5440347) - 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148.396m in millimeters?\nAnswer: 2148396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (sqrt(275) + -2*sqrt(275))*5 - (sqrt(275) + sqrt(275) + 1 + -2)) + -5)**2.\nAnswer: 240*sqrt(11) + 9916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 2*j - 1. Let i be v(1). Let p(g) = -150*g - 25946. Let w be p(-173). Solve k - 4 = i*k - y, -5*y = -w*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1585 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 96?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from ajacccwebcje?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -76. What is the closest to 2 in -0.4, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26.6. Which is the closest to 0.1? (a) -0.5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32156 is divided by 3988.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3882.2 + -3897.6. Which is smaller: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 26 = 2*j + 4*l, 5 = l. Suppose 21474 = j*t + t. Let b = t + -2345. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131 is divided by 289.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (1 + sqrt(99)) - (-1*sqrt(704))**2.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 135084*t**2 + 1141492896*t + 17092013040 = 0.\nAnswer: -16878, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-165)\/110)\/(3\/60*6). Put q, 5, 22 in descending order.\nAnswer: 22, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 - -83 - (-6 + 1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.778028 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-20)\/6)*33\/2. Let y(j) = -8*j. Let p(i) = 26*i. Let h(s) = -2*p(s) - 7*y(s). Let o(q) = -q**2 - 22*q. What is z*h(d) + 4*o(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 3 - 3*a + 3 - 5. Let i(u) be the third derivative of u**4\/24 + u**3\/6 - 4*u**2. What is -i(r) + 2*z(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose j*h - 12 - 9 = 0. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*f - 12 = 0, -4 + 1 = -2*j + 5*f. Suppose -j*u + 111 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*(-30 + -4). Suppose 5*i = i + t. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**3 - 5*y**3 - 5*y**3 - 3*y**2 - 6*y**2 wrt y?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87730.078 rounded to the nearest one hundred?\nAnswer: -87700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 1. Let a be d(-1). Let o(c) = 7*c**2 - 3. Let n(h) = h**2 + h. Let l(k) = -2*n(k) + o(k). Is 7 a factor of l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187321560.\nAnswer: 2, 3, 5, 1561013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 6*s + 12. Let h be g(-5). Let v be (-2)\/(-3)*((-100)\/h)\/(-5). Sort 1\/3, 2\/5, v, 2\/7 in descending order.\nAnswer: 2\/5, 1\/3, 2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1 - (-5 - -3 - 32)) + -9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**5*l + 174*d**4 + 2*d**2*l + 9*d*l + 116*l wrt d.\nAnswer: -960*d**2*l + 4176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476347585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 50*u - 28*u - 23*u. Let m(g) = 2 + 8*g - 2. What is m(p(v))?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186*u**2 + 6512*u + 70.\nAnswer: 2*(u + 35)*(93*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-117789)\/(-28) + -5 + 6\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1001010111011100011?\nAnswer: 1001010111011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.2 (c) 5 (d) -1 (e) -7 (f) 3223\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49332 - -550?\nAnswer: 548.50668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/z**(7\/3)))\/z*z)\/z)\/(z**0*z)*z\/z**(1\/4)*z**(-6))\/((z**(-5\/6)*z**(-1\/2))\/(z*z*z**1)**(-47)) assuming z is positive.\nAnswer: z**(-1735\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*g**4\/4 - 60*g**3 + 301*g**2\/4 + 75*g\/2 + 4 = 0. What is g?\nAnswer: -1\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14876124 times -0.5\nAnswer: -7438062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -171.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/47341973 and -46\/20289417?\nAnswer: 142025919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 28 = 4*a. Suppose -6*j = -a*j + 8. Let u = 14 - 10. What is the highest common factor of j and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:43 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91133677*2.\nAnswer: 182267354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24*(-5)\/10)\/(2\/(-5)). Let q = l + 63\/2. Factor 0*b + 3\/4*b**3 + q*b**2 + 0.\nAnswer: 3*b**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -451*q - 449*q + 900*q + 70*q**2. Let i(v) = -v**2. Determine 6*i(d) + l(d).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7912.581 + -0.5?\nAnswer: -7913.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(1\/10)*g)\/g)\/(g\/(g*g\/g**(-3))))\/(g**(-2\/7)*g*g*g\/(g*g\/(g\/(g**8*g))*g)))**(6\/23))**47 assuming g is positive.\nAnswer: g**(122247\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 2, d: 1, h: 1, n: 4}. What is prob of sequence dnh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) -5 (c) 1 (d) -1798 (e) -3\/5 (f) -28\/5 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 6) in base 10?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 19 - 9 - 30*b**2 - 16*b + 100*b + 9 + b**3. Calculate the remainder when g(27) is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11\/194 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*c**5*r**2 - 38*c**4*r**3 + 1914*c**2 + r**3 wrt c.\nAnswer: 3480*c**2*r**2 - 912*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*y - n + 381, -y - 114 = -4*n. Suppose -39*p + 37*p - 78 = 0. Let q = p - y. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 + 7 = 0. Calculate the common denominator of (-656)\/36*r*2\/(-96) and 64\/21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 9. Let k = -5 - b. What is the second derivative of d + 3*d**3 + 0*d**k - 2*d wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - (-5 + 8 + -12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1568, -5739, -12658, -22319, -34716?\nAnswer: -49843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let s be (3 - 3\/2)*2. Put s, -4, x in increasing order.\nAnswer: -4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40c (base 13) to base 7.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -166*r - 2. Let w(y) = -7*y**2. Determine k(w(g)).\nAnswer: 1162*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**2 + 32*w + 282. Is x(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, 186 in descending order.\nAnswer: 186, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16416 and 152.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 44*c**2 - 88*c - 43. Is g(66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.3 - -16. Let j = -3.3 - o. Suppose -11*d + 59 = 37. Which is the closest to 1\/6? (a) j (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 496*t**2 + 60136*t - 198. Calculate l(211).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -179a (base 11) to base 10\nAnswer: -2287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3724*v + 1308524 = 339*v + 7419*v + 6962*v for v.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 279 - -1078. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22013241, 22013265, 22013289, 22013313, 22013337?\n\"Answer: 24*h + 22013217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 59. Let n = -27 - -46. Suppose 0 = -n*r + 8*r + 132. Calculate the remainder when j(0) is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12948 and 435?\nAnswer: 1877460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*g*m**3 + g*m**2 + 2*g + 220266*m**3 + 586*m**2 + m - 216 wrt m.\nAnswer: -336*g + 1321596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 6:38 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 divided by -1082?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 70, 2, 663, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -286251289*m**2 + 235691504*m.\nAnswer: -572502578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -876\/47, 5 in increasing order.\nAnswer: -876\/47, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84894 and 7?\nAnswer: 594258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 45796*y**2 - 17388784*y + 1650634384 = 0?\nAnswer: 20314\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30666*m**5*t + 2*m*t - 306*t wrt m?\nAnswer: 613320*m**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/190 and 101\/5156980.\nAnswer: 5156980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76544900, 153089790, 229634668, 306179528, 382724364?\nAnswer: 459269170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + -1) - (0 - -1) - 7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 940 and 5225930.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - -2?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/6 - 154*i**3\/3 + 2537*i**2\/6 + 474*i = 0.\nAnswer: -316, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, o: 2, h: 2, y: 1}. Give prob of sequence lh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - 1 - -10\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3076668 and 5742?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - j + 43 = 3, 0 = -3*j + 12. Let w be ((-48)\/(-5))\/(f\/120). Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 24 + 45. Let u(l) be the first derivative of 7 + 4\/3*l**3 - 3\/2*l**2 - w*l - 1\/4*l**4. Give u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 + -215. Sort -0.05, -2\/15, v in decreasing order.\nAnswer: -0.05, -2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaajanneanej. What is prob of picking 1 v, 2 a, and 1 j?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, a: 3, s: 4}. Give prob of sequence as.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 3 = -4*m. Calculate the remainder when 36 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 218174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (18\/14)\/((-221)\/(-1547))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/44144 and 117\/10153120.\nAnswer: 10153120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 26*x + 27*x = -5100, -5*y + 12750 = x. Is 36 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1310 (base 5) to base 6\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:29 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcfbcablq. What is prob of sequence fbaq?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-85) + 10032\/(-323) + 31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let p(f) = -99*f. Determine m(p(v)).\nAnswer: -297*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 59*x + 12 + 176*x.\nAnswer: 117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(3\/(1 + 2)). Suppose -5*q = -x*q - 3. What is the derivative of q + h**3 - 5 + 3 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4862 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5352987661?\nAnswer: 7, 179, 313, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16932, -17367, -17802?\nAnswer: -18237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 230, 356, 482?\n\"Answer: 126*r + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -394, -805, -1214, -1621, -2026?\n\"Answer: t**2 - 414*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + -497a81?\nAnswer: -497a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 3142*o.\nAnswer: o*(o + 3142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhhhhlhhlhh. What is prob of picking 2 h?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -60\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**5 - 3*z**4 + 20*z**2 - 4*z wrt z.\nAnswer: -240*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (1 + 2) - -195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 0*d**2 - 19\/12*d**4 + 6*d + 0*d**3. Let m(y) = -y. Let q(v) = 7*v. Let g(k) = 6*m(k) + q(k). Give x(g(a)).\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*44)\/(16\/200). Suppose -5231 = -9*r - a. Suppose 5*t = -4*p + 3151, 4*t - r = -2*p + 2063. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -4, 2, 12 in descending order.\nAnswer: 12, 2, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538525645 a multiple of 5105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**2 - 22*r**2 - r**3 - 3*r + 3*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 3*k + 3. What is the remainder when n(-7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -3.57. Let u = 1.6 - k. Which is the second smallest value? (a) 1\/4 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45051 is divided by 128.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -348.71549 rounded to 0 decimal places?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -47*t**2 - t. Let d(b) = -276*b + 2112. Let o(j) = 2*j - 16. Let f(w) = 2*d(w) + 264*o(w). Determine p(f(x)).\nAnswer: -27072*x**2 + 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 6}. What is prob of sequence yy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 261, 259, 247, 219, 169, 91?\n\"Answer: -y**3 + y**2 + 2*y + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*u - 19 = 0, 0 = 2*u + u - 3. Let j be 1 + -3 - (-15 - 0). Suppose -5*p - 5 = -5*o, -o - 3 = -2*p - 0. Solve 0 = -o*l + s + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*s - 614*s = -239*s + 167400 for s.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 9*v**2 - 2*v - 12. Let h(x) = 3*x**3 + 13*x**2 + 3*x + 18. Let b(g) = 5*h(g) + 8*n(g). Give b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5093667 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 532998*i + 2664915 = 0. What is i?\nAnswer: -177661, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 14. Let t be l(-5). Solve -4*a - t = 3*v + v, -3*a = -v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1925\/(-15) - 5\/(30\/4). Let q = f - -89. Let x = q - -42. Solve -5 = -5*g + 5*c, -3*g - c - x + 21 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -m - 12, 3*m - b - b - 19 = 0. Let o = 1481 + -688. Suppose -1046 = -4*h + 3*s, -s = m*h + s - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {g: 6, n: 1, u: 3, k: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -22. Suppose 5*l + 16 = 3*y, 0*l + 4 = -3*y + l. Let q be (-1)\/y*(v - (-9 + -2)). Solve -5*z = -q*r - 17, z - 2*r = 5 + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*u**2 + 17*u**2 + 2 + 93*u**2 + 0 - 357*u**2 as s + j*u + q*u**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*p - 583 = 0, -k - 2*p = -7*p + 133. Let m = k - -174. Let r = 160 - 84. What is the remainder when r is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p\/p**(1\/4))\/p)**9\/(p**0)**(-23))\/((p\/p**(-2\/3))**(-2\/49)*(p*(p*p*p**(-4)*p)\/p)\/(p\/p**(-1\/4))) assuming p is positive.\nAnswer: p**(2656\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 10*g = 4*b + 12, -g + 2*b + 6 = 0. Suppose -5*c - 3 = t, -4*t + g*c + 13 = -5*c. Find the second derivative of 69 - 37 - t*r + 5*r**5 - 32 wrt r.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**3 - s**2 - s + 1. Let b be q(1). Let y(z) = 2*z - 2. Let k(o) = 7. Let l(i) = 3. Let p(u) = 2*k(u) - 5*l(u). Give b*p(h) - y(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = -y + 14*b + 8, -b = -1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 211, -3 in decreasing order.\nAnswer: 211, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 11, -170, -2, 88 in ascending order.\nAnswer: -170, -6, -4, -2, 11, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 + (7 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 4*c - 1. Let p be o(3). Let t = p - -11. Let v be (15\/t)\/(7\/28). Calculate the highest common factor of 60 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.3 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 29 = -10*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 822, 1639, 2460, 3285, 4114, 4947?\n\"Answer: 2*w**2 + 811*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 3*k - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**3 + 5. Let o(x) = -17*x**3 + 8. Let c(w) = 2*w - w + 10*w**3 - 2*w**2 - 37*w**3. Let m be c(1). Let j = m - -20. Determine j*i(f) + 5*o(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 246 - 102 + 146 - q + 103 + 40 in the form s + v*q and give s.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1790.9, -0.8, -1, 3, -11 in descending order.\nAnswer: 1790.9, 3, -0.8, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-6)\/(-4))\/(-1). Let w(t) = t**2 + 2*t - 1. Let q be w(-3). Suppose -p - q = -o. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(36\/(-225)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 3. Let g = 2 + l. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103801 is divided by 104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5968 divided by 5968?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c75 - -1?\nAnswer: 8c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuousoouzs. Give prob of sequence ss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 11*y**2 + 2*y + 22. Suppose 7*x + 58 + 19 = 0. Let b be z(x). Solve 0 = -5*g + 3*l + 25, 0 = -g - b*l - l - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.402 + 172.402. Let i = v + -171. Let f = -1.36 - -58.36. What is the biggest value in f, i, 3, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zzsmpzsmszpsmmpazppm?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/7 + 4*p**3\/3 - 2*p**2\/7 - 4*p + 28. Suppose f(s) = 0. What is s?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 3. Let p be a(-11). Let c be (-5)\/(-2) - (-7)\/p. Suppose -c*q = -0*y + 2*y - 21, -4*y + 5*q + 97 = 0. Solve -y = -4*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -45*v. Let w(q) = 71*q**2. Determine w(f(l)).\nAnswer: 143775*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 2. Let z(d) = -d + 1. Let y(k) = -6*v(k) - 11*z(k). Let c be y(-3). Suppose -2*j + c*x = -0*j - 54, 3*j - 26 = -5*x. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64\/207 - 2\/23. Factor t*a**2 + 4\/9 + 2\/3*a.\nAnswer: 2*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1 = -f - 2*f, -3*c + 2*f + 11 = 0. Differentiate -7*h + 7*h + 5 + c*h**3 with respect to h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.66 - 0.04. Let u = y + 3.2. Put u, -3, 2 in descending order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1258 - 1248. Solve w = -3*q - 6*o + 8*o, -q + 5 = o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (407\/(-8140))\/(9\/30*((-630)\/(-24))\/(-7))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*b + 7*b. Let o be 3\/b + 24\/(-10). Let m(z) = z**2 - z - 9. Let g be m(o). Let f(s) = s + 4. What is f(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148404287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*a + 6, 2*f = a + 11 + 8. Suppose -3*k = 9, 7*p - 4*p - 72 = 3*k. What is the highest common divisor of f and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 11 - 6 = -w, 0 = -4*a - 2*w + 24. Let h be 24\/84*14\/30. What is the third smallest value in h, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1573.6 + 1715. Let f = c - 142. What is the third smallest value in -3\/4, 0.2, f, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 32*b**3 - 11*b**2 + 6*b - 7. What is the tens digit of u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5986 divided by 5.\nAnswer: 5986\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7850484240 - 0.016.\nAnswer: 7850484239.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 - 2*a**3 - 3*a**2 - 6*a - 3. Let i be t(-5). Which is smaller: -1\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*(k*k\/k**(-15))\/k*k*k)\/k**(-2\/19))\/((k\/(k*(k**(-5\/4)\/k)\/k))\/k*k)**(-27) assuming k is positive.\nAnswer: k**(8273\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1970 - 157*m + 1971 - 95*m.\nAnswer: -252*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(9 + -8) - 5. Suppose i*p - 814 = 3079. List the prime factors of p.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16854579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/9)\/(-9))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 0. Let o = k - -37. Is 369\/o + 1\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 871 = -d - 0*d, 3*n = d + 653. Let j(h) = 11*h + n - 218. Let y(i) = 2*i. Calculate j(y(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -66, -107, -186, -315, -506, -771?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v - 4*v + (7 + 11 - 2)*(v + 3*v - 3*v))*(-3*v + 0 + 0).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 3\/5, -70, 303.74, 2\/15, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002773015 rounded to six dps?\nAnswer: -0.000277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*d = 1341*d + 64 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 848111629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 10. What is the tens digit of c(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.054\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13301 - -13296. What is the biggest value in 169, 4, q?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 117*d - 2300. Let c be j(25). Let a = 0 + 2. Solve 0 = -a*q - 0*q - 3*b - 1, c = 3*q + 2*b + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -755*w - 26792 + 1735 + 3162 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/7 in -10, 0.1, 0.018, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4 + 4*i**2 - 2*i**2 + 2 + 1. Determine z(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 309*x**3 + 3410*x - 3410*x + (-2*x**3 + 4*x - 4*x)*(0 + 0 + 2) + 3*x**3 - 3*x**3 + x**3 - 8*x + 0*x**3 - x**3 - x**3.\nAnswer: 304*x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 1, l: 3, f: 2, b: 2, s: 3}. What is prob of sequence aqsf?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15607380 is divided by 1543.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 60*g**4 - 796*g**3 - 1866408*g**2 + 497968*g + 497760 = 0.\nAnswer: -170, -2\/5, 2\/3, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01914 + -119.46914. Let u = 95.5 + m. Round u to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363 is divided by 494.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 3*j**6\/80 - 13*j**5\/200 + 11*j**4\/240 - j**3\/60 - 81*j**2. Factor s(p).\nAnswer: (3*p - 1)**2*(5*p - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28784749531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5.4. Let l = u + -0.4. Put 0.5, l, -3 in descending order.\nAnswer: l, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*j + 619*j + 460 = 0. Calculate the least common multiple of 39 and j.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 5*h - 5. Let v be k(5). Let p = v + 8. What is the second derivative of 3*y**5 + 10*y + y**p - y**3 - 6*y wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1600, -6419, -14458, -25723, -40220, -57955, -78934, -103163?\n\"Answer: -m**3 - 1604*m**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/27)\/((-143)\/20592)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416641 and 4468?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*a - b, 3*a - 6 = 2*b + 4. Suppose l = a*l - 29. Suppose -2*v + 5*m = -86, 3*m = -3*v + 100 + l. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1664 (b) -3\/8 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-24)\/3672 + 190\/1326?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:38 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3411 + -6821\/2. Factor -x - w + x**3 + 1\/2*x**4 + 0*x**2.\nAnswer: (x - 1)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7075246.33 and 42.\nAnswer: -7075204.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34506930 and 180.\nAnswer: 207041580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Suppose q*k = -9, -k = 5*o - 8 + 1. Differentiate 95*x**2 + o + x**3 - 95*x**2 wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1027 * 0.52\nAnswer: 534.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -47 + 2*h - 14 + 28. Let d be p(13). Which is the nearest to 0? (a) -0.3 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 302.9 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 18, 41, 84, 153, 254?\n\"Answer: k**3 + k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 1, 27.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 2*j - 3. Let w be l(-3). Suppose 0 = 3*r + 3*o - 141, 0 = r - 5*o - w - 44. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51616.970779 + 51617. Let m = 0.0295 - c. Round m to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-464)\/(-4))\/(924\/231).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235253*u**4 - 307423*u**2 wrt u?\nAnswer: -5646072*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514 divided by 1.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 25*b**2 - 871*b + 312. Let c be i(35). Calculate the highest common factor of c and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u**2 + 226*u - 43. Give h(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2. Let y be 1*(-4)\/(0 - 3 - -1). Let x(j) be the first derivative of 0*j - 1\/3*j**3 - 3 + 0*j**y. What is x(g(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77297, 154437, 231587, 308753, 385941, 463157, 540407, 617697?\nAnswer: 695033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*y**2 - 230*y - 47*y**2 + 4*y**3 + 0*y**3 + y**3 - 200.\nAnswer: 5*(y - 10)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.69, 5, -1\/2, 8\/3, 0.3, -20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m + 1. Let i be a(8). Suppose 4 = g - i. Let u(h) = 220*h - 4394. What is the remainder when u(20) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*f**5 - 1619*f**4*n - 11*f**3*n - 2807*f**2*n + 111*f**2 wrt f?\nAnswer: -480*f**2 - 38856*f*n - 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147 take away -67587723?\nAnswer: 67587723.0147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718 a factor of 1595624550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2341 divided by -5\nAnswer: 2341\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 28*z**2 + 28*z**3 + 24*z**3 - 61*z**4 - 62*z**2 + 2 - 46*z**3 + 36*z**2 to r*z**4 + l*z**3 + d*z + w + k*z**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0416 * 65\nAnswer: 2.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000666524 rounded to 6 dps?\nAnswer: -0.000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {r: 4, n: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71918871 by -23972957.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 831246 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212634?\nAnswer: 2, 3, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f\/(f\/(f*f*f**(-20)\/f)))))\/((f\/f**38*f*f)\/f)*f**(6\/7)*f**26 assuming f is positive.\nAnswer: f**(321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 7*n**2 - 6*n - 5. Let d be r(6). Let q(l) = 5540001*l + 5. Let z be q(d). What is z rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4 + sqrt(245)*-2 + sqrt(245) - (2 + sqrt(245)*-2))**2)*5.\nAnswer: -420*sqrt(5) + 1430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/9)*((c*c*c**(-6))\/c)\/c)\/(c**(-3)\/(c**(-3\/10)\/c*c))*(c**(1\/3)\/c)**23\/(c\/(c*c*c**(2\/15)*c)*c*c**(-1\/7)) assuming c is positive.\nAnswer: c**(-2173\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 - -111. Is a smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (37 - 43)) + -3 + (-137 - 0 - -6)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 8*o**2 - 4*o**2)*(-o**2 - 2*o**3 + o**2) - o**5 + 3*o**5 - 3*o**5 + (-o**3 + 3 - 3)*(2 - 2*o**2 - 2).\nAnswer: -13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.8 + -24.72. Let h = 5 - d. What is h rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1 - 6 + j + 5*j**2 - j**3 - 4*j - 11*j**2. Let b be o(-6). What is the second derivative of 23*v - b*v + 4*v**3 - 8*v wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 0*a**2 - 2*a**2 - 5*a**2 - 3 + 3 + (-1 + 1 - 2*a)*(-4*a + a + 2*a) - 7*a**2 - a**2 + 6*a**2 - 4*a.\nAnswer: -4*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -5d?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0338392745 rounded to 4 decimal places?\nAnswer: 0.0338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 divided by 6?\nAnswer: -515\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -51, 3, 5, -0.027?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s + 16*s + 19*s to k*s + g and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + ((-3)\/(-3) - -103). List the prime factors of 12\/15*k\/2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45466 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let n = 0 - -0.07. Let c = n + 1.93. Is c bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 425966712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 62. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -1. Which is the smallest value? (a) 3 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*p**2 + 24*p - 24*p)*(0*p - 3*p**3 + 0*p).\nAnswer: -69*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 7 = 66*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/15)\/(2\/6). What is the nearest to 3 in y, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**48)**(-37) assuming c is positive.\nAnswer: c**1776","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -68. Suppose -2*l - 394 + 7764 = 0. List the prime factors of l\/h + 4\/(-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 255*z**2 - 994*z + 36. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 335 = -445. What is the remainder when 1 + 216 - (-2 - -2) is divided by k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117195554*g**4 + 657199125?\nAnswer: -468782216*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.12 - 3.92. Let c = 42 - q. Let s = -3.9 + c. Put s, 0.2, 3 in descending order.\nAnswer: 3, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, 1, 61, -1, -62 in descending order.\nAnswer: 61, 9, 5, 1, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 372477321 and 124159107?\nAnswer: 372477321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - 21) + 25 + -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 390.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7551857?\nAnswer: 103, 157, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1171172 divided by -4.\nAnswer: 292793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -763997 and 1?\nAnswer: -763997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/9 in -0.2, 20, 5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 9. Let m be (-4)\/6*10\/(-8)*6. Suppose -s - 2*s + m*t = 23, -2*t + 26 = -4*s. Let n be a(s). Solve 5*i - i = -5*l, i = -n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/18)\/(4\/6). Is -2\/5 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 61 - 317*s)*(-174*s - 50*s + 56*s - 176*s) to the form i*s**2 + l*s + y and give i.\nAnswer: 109048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24011300 rounded to the nearest ten thousand?\nAnswer: -24010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 6. Let w be m(9). Suppose -f + 5*c + 35 = 4*f, 4*f - 25 = w*c. Put -3, -2, f in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose -33*k = 10*k - 645. Suppose 3*r = 5*d - 33, k*r - 11*r = 2*d - 16. What is the least common multiple of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 6. Let z be 1\/(0 + -1)*-4. Give h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3061613, -6123219, -9184817, -12246407, -15307989?\nAnswer: -18369563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(9*d + 18*d - 17*d) + 3 - 3 - 13*d + 3*d + d - 5*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n - 35*n + 103*n - 41*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31667.9 times -112\nAnswer: 3546804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 20 - 4*h**3 - 19 + 3*h + 88 + 2*h**2 - 23 to t*h**3 + y*h**2 + d*h + v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2849 - 46*k + 38*k - 2820 to the form j*k + x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 + (-319)\/(-87). Suppose -n + 0*o - m = -3*o, -3*n + 14 = 4*o. Solve n*g + 0 + 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/24 and (-7)\/(-24)*86 - 1\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:41 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -47) + (-2 + 5 - -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2727 and 9.\nAnswer: 2727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 34*v - 35 - 81*v - 30*v. List the prime factors of i(-2).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/20 - -1)*1020\/9. Let m = -1371\/5 + l. Let r = 2 + m. Which is the closest to 0.1? (a) r (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 34760?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9475 bigger than 9475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -5, 0, 155 in increasing order.\nAnswer: -5, -2, 0, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 935562 divided by 1446\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 14*x + 10. Determine g(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*x**3 + 49*x**3 + 26 + 16*x**3.\nAnswer: 9*x**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let w(b) = 7*b + 14. Let c(t) = -6*l(t) + w(t). Let g be c(-11). Factor 1 + 0*n**3 - 3*n**g + n - n**2 + 2*n**3.\nAnswer: -(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 2:59 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*(-7 + -1). Let w(n) = -n**3 + 7*n**2 - 7*n + 8. Let t be w(6). Solve -2*q + o = t*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*((-50)\/35)\/5*180\/(-300).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 218*2*(4 + -6 + 1). Let m = -3487\/8 - d. Let m*n**3 + 0 + 3\/8*n**2 + 1\/4*n = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - (-1430)\/225)*138\/264 and -38\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 48. What is the closest to j in 1, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = -5*d. Let j = -42 - -48. Let c be 4\/12 - (-10)\/j. Solve -4 = 2*p + k, 0 = -c*p + k + d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11030 + -1?\nAnswer: -11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**3 - 12*s**2 + 5*s - 8. Let x(r) = 9*r**3 - 12*r**2 + 6*r - 11. Determine 6*l(o) - 5*x(o).\nAnswer: 3*o**3 - 12*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -4\/144081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 2243768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/15)\/(3\/(-5) + 1). Suppose 2 = -3*q + 11. Find the second derivative of -3*i**3 - i**3 - 2*i**q + 5*i**3 - n*i wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(2\/282). Suppose -5*l - j = -17. Let m(c) be the first derivative of c**3\/3 + 3*c**2 + 6*c - 746. Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 114?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(143)*-3*-3)\/(sqrt(539)*2 + sqrt(539)*-5).\nAnswer: 15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 3*k + 2. Let m = -5 - -3. Let s be p(m). Suppose -q - 27 = -s*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -237 - -234.59. Let y = 1.41 + m. Which is the nearest to -1\/9? (a) y (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 1049, 1048, 1047, 1046, 1045?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1663 + 15237?\nAnswer: 13574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0*f**5 + 0*f**6 + 0*f**4 - 7\/3*f**3 + 0 - 8*f - 1\/3*f**7 + 0*f**2. Find the second derivative of j(h) wrt h.\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142466231.\nAnswer: 193, 373, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.6921 times 111.6\nAnswer: 77.23836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3564 (base 10) to base 9.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*p - 764*p = 11 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7744512?\nAnswer: 2, 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(99)\/sqrt(9) - 6*(sqrt(176) + -2 + sqrt(176)))**2 + 0 + 3.\nAnswer: -940*sqrt(11) + 24402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*w**2 - 274*w**2 + 121*w**2 + 117*w**2 - 3 - 2*w**2 + 3 + 0 + 0 + w**2 + (w + 1 - 1)*(-w - 2*w + w) to g*w + q*w**2 + n and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/9 + 818*x\/9 + 824\/3 = 0. Calculate x.\nAnswer: -3, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3, -1, 1\/5, 61?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -982504\/217569 + 1536\/347. Find the common denominator of 59\/44 and u.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 2*p**3 + 5*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19359572?\nAnswer: 2, 4839893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46509549, -46509548, -46509547?\nAnswer: -46509546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*k - 894, 777 = 5*t + 5*k - 338. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1767722 (base 8) to base 12\nAnswer: 211016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 10*y**2 + 57*y + 198. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43867564 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + (6 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 147583 + -300?\nAnswer: 147283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5861\/3910 - 2\/1955. Let s = -30\/17 - 59\/34. Which is the second smallest value? (a) g (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {i: 5, x: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87476576?\nAnswer: 2, 11, 181, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1119810?\nAnswer: 3359430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:08 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 5049 = 14*m. Let d = 349 - m. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -30, -69, -118, -177?\n\"Answer: -5*l**2 - 14*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204 * -1.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-3)*(-8)\/108.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 + 0 - 9 + 7 - 9*q**3 + q**2 + 2*q as a*q + s*q**2 + t + y*q**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206632 is divided by 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 26 = -2*b + 18, 4*b - 9 = k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 215600, 211809, 208018, 204227, 200436, 196645?\n\"Answer: -3791*v + 219391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8288526*c**2 - 68335*c + 12.\nAnswer: -16577052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + n - n + (4*n - 4*n + n)*(-2 + 2 - 2*n) - 695*n + 695*n - 16*n**2 as x*n**2 + s*n + f and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 4*j + 287 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from qqqqqqqqqcqcq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*(-3 + (-63)\/(-12)). Suppose -n*y - 2*k + 7 = -13, 3*y = 5*k + 34. Suppose -9 = -11*z + y*z. Sort z, 25, 4 in increasing order.\nAnswer: z, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 163.3174666785.\nAnswer: 163.3274666785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8663, -17312, -25963, -34616, -43271, -51928?\n\"Answer: -k**2 - 8646*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14029 bigger than -14032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3)*0)\/(-1). Let d(g) = 5*g - 45. Suppose -p = 1 - 5, 3*n - 42 = -3*p. Let h be d(n). Solve 2*b + 2*l - 6 = s, -3*b + l = h*l - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76458628685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464340*-3.\nAnswer: -1393020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaew when four letters picked without replacement from {a: 4, e: 2, w: 8}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84\/18 - (-2)\/(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101122 (base 3) in base 10?\nAnswer: -2474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/3 - 11*b**2 + 2*b. Let p be k(11). Suppose -3*n - w = 0, -n - n + w = p. Are 2\/5 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -25, 8, 67, 158?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7) - (-12060)\/1407.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*y = -3*k + 18, 3*y + 10 = 4*k. Let i(d) = 3*d + 3. Let t be i(k). Suppose t = 12*s - 11*s. Calculate the remainder when 44 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/249, -57, 5, -19\/173?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 7 = -7*u. What is the lowest common multiple of (u\/(-8))\/1*48 and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-21)*o\/(o\/(o**(-10)*o))*o*o\/(o\/(o*o*o\/o**(-4\/11)*o))*o*(o*o**(1\/7)*o)\/o*o*o assuming o is positive.\nAnswer: o**(-1578\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1548, -1564, -1586, -1614, -1648, -1688, -1734?\n\"Answer: -3*d**2 - 7*d - 1538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * -25.9\nAnswer: 9.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59757, -59765, -59773, -59781?\nAnswer: -59789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 5*f**2 - 4*f + 3. Calculate the least common multiple of t(4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Suppose i + 106 - 17 = 2*w, 0 = 2*i - 2. Let d be -3*(-2 + w\/21). Let j = -0.24 + 0.04. What is the nearest to 1 in 4, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:08 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21006 and 7738377.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s - 386. Let t be b(-20). Let u(z) = 8*z**3 + 6*z**2 + 6*z + 2. Let g(c) = c**3 + c**2 + c + 1. Give t*g(r) + u(r).\nAnswer: 2*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 58*q**2 + 4*q + 320. Let h be p(-58). Calculate the greatest common divisor of h and 7612.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 47*z + 140. Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25372, 25521, 25874, 26515, 27528, 28997, 31006, 33639?\nAnswer: 36980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10850, 21785, 32722, 43661, 54602, 65545?\n\"Answer: w**2 + 10932*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5764 = -845. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-89034)\/(-284))\/(5\/(-10)). Is q > -1255\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = -0*p + 5*p - 4*w, -5*p + w = -876. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -85. Let a(b) = 3*b + 6. Let h be a(l). Suppose -5*i - 29 = -3*n, -4*n - 6*i + 2*i - 4 = 0. Solve h = -n*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -402 + 401. Let d be (-78)\/(-126) - (-6)\/(-21). Which is the third biggest value? (a) -4 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 + 204. Let b(g) = 24*g**3 - 2*g**2 - 2*g - 1. Give b(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -47*n**2 + 549*n - 5. What is the hundreds digit of d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(152)\/(sqrt(8) - sqrt(200)) - (sqrt(57)\/((sqrt(27) + sqrt(432))\/sqrt(9)))**2).\nAnswer: -sqrt(19)\/4 - 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*z**2 + 699*z**2 - 4*z + 0*z + 1 + 4*z - 468*z**2.\nAnswer: -109*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 + 0*t**3 - 7 - t**3 + 0*t**3 - 2*t. Let d = 40153 + -40144. Calculate the remainder when l(5) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 188 + 0\/14 - -2. Which is smaller: d or 191?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(104)*-1)\/sqrt(8) + (-5 + 1 + sqrt(325) - sqrt(325)).\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.6. Let z = i - -0.5. What is the nearest to 2\/5 in -2\/13, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/23)*i**(-1\/18)\/i)**(6\/7) assuming i is positive.\nAnswer: i**(-473\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 1. Let v(s) = -s - 7. Let k be v(-6). Let c be w(k). Let a be c*(4 + (-9)\/3). Solve -3*o + a = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 4425426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((2691\/(-30))\/(-13) + 1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*l - 28, -5*s - 4*l - 27 = -21. Sort 5, -5, s, 3.\nAnswer: -5, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339610.\nAnswer: 2, 5, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d. Let w(t) be the second derivative of 3*t**5\/20 - 2*t**4\/3 - t**3\/3 - t. Let i(k) = w(k) + 4*y(k). What is i(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -862 - -748.5. Round u to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 2170011*u - 10849980.\nAnswer: -3*(u - 723332)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 0, -k - h = -0*k - 74. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 - 64*d + 171. Let u be h(8). Let r = 41 - 1. Let c = u - r. Solve 0 = -2*t - 5*s - 4, 2*t - c*s = -0*s + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/36*(39\/(-26))\/(12*(-13)\/(-468)).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15410.9 + -15411. Is 3140 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1024)\/(-11648))\/((-4392)\/1586)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-22 - -25) + 67841 + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983?\nAnswer: 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*17\/(-680) - 162\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 34. Let g = -1 + p. Suppose -2*n - 173998 = 3*s - 3*n, 0 = -2*s + g*n - 115990. What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-148)\/8)\/((-4)\/(-8)). Solve 5*l + 0*l + 5*w + p = 0, -5*l - w = 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-165)\/(-22))\/((-6)\/(-16)). Let q be (10 - 4)*l\/8. Let a be 60\/q*(-371 - -1). What is a rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72498?\nAnswer: 2, 3, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:09 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -4*x - 15829. Let d = x - -9915. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 2 + 42\/20. Let b = 29.4 + -30. What is the nearest to -2\/5 in b, 1, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -31 - (8 + -6 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1507 (b) -0.4 (c) -13 (d) -0.2 (e) 15\/856\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 8*z = -1698. Calculate the remainder when z is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6993, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, -6993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -4) + (0 - (1 - -6)) + 283 + -250?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -39 + 25 - 39.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 218 = -4*l. Let s = l - -58. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9021\/388)\/((-33)\/44).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w. Let k(v) be the third derivative of -v**4\/4 - 8*v**2. What is k(a(b))?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.67 + -0.6. Let b = -0.01 - z. Let r = -5.08 - b. What is the second smallest value in -0.3, r, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -465*l + 464*l + 3 - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-202992)\/1755 - 18\/(-45) - (-2)\/13. Which is greater: -115 or l?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 2*o + 1. Determine h(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157729452 divided by 39432363.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786633 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 327. Calculate the remainder when w is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 553419784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {u: 1, n: 3, o: 4, m: 2, g: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3310, 7052, 11230, 15844?\n\"Answer: 218*s**2 + 3088*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.04. Let o = 0.36 + m. Sort -3, o, -0.3 in ascending order.\nAnswer: -3, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j)**(-10)*j**(-2\/87)\/j**14 assuming j is positive.\nAnswer: j**(7480\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47154663 >= 47154652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 27*c = 16*c - 7090356. What are the prime factors of c?\nAnswer: 13, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 - 3*q + 1. Let a be p(2). Find the second derivative of 0*x - 2*x - 2*x + 4*x**a wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343106045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 275\/7, -0.4, -0.5, -0.3?\nAnswer: 275\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 15.7.\nAnswer: -4.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (68368 - 17) + (1 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 874478*d*m*u*w + 3*d*u*w**3 + 8*d*u - 3*m*u - m*w**3 + 16*m*w + 5836*u*w**2 - 31*u wrt d.\nAnswer: 874478*m*u*w + 3*u*w**3 + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297568599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2294323*t**3 - 432802*t**2?\nAnswer: 13765938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 w when three letters picked without replacement from {e: 5, w: 5, t: 2, n: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s + 136 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8782.504 to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 h when four letters picked without replacement from hhaaaaa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 27. Let j be 16\/q*70\/28. Suppose 0 = 3*u - j*u + 3050000. Round u to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 53343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54597, 54564, 54531, 54498, 54465?\nAnswer: 54432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93632 and 736.\nAnswer: 2153536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 5. Suppose -6*t + 14 = -8*t - 2*y, -2*y - 10 = 0. Let v be m(t). Sort 2, 1, v, 3.\nAnswer: v, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - x - 26, l + x + 5 = 37. Suppose 27*i - l*i = -16. Suppose 0 = -2*y + i*y - 1398. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3149\/23 + 137. Let u be 66\/60 + 6\/(-10). What is the third smallest value in 5, g, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 187136\/(-774) - -1*6\/(-27). Is -240 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -962\/101 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -582.771 + 583. Round w to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143111 (base 7) in base 2?\nAnswer: 110101101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 - l + 4. Let u be z(4). Suppose -118 = -3*k - 2*b, 2*k + 21 = -5*b + u. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/8)\/(16\/2 + 1539\/(-190)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14253 or 15143?\nAnswer: 15143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1, 5\/4, -791?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22056 (base 7) to base 6\nAnswer: 41333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2003 + -3382. Let c = i - -11049\/8. Find the common denominator of 93\/2 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 19*q - 40. Let s be g(-18). Is s bigger than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = -18*k + 2*a - 7063, 0 = -k + a + 1414. Calculate the smallest common multiple of 18 and k.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 463680.09 minutes?\nAnswer: 322.0000625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00521 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((636\/5512)\/((-2)\/(-52)))\/(6\/(-26)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1) + (19 - -1). Let r be ((-5)\/(-20))\/((-2)\/(-6)*108\/1440). Solve 0 = -2*s - 5*w + r, 5*s + 2*w - 3 - f = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 139 + 219 = 0. Suppose -t - 3 = 2*c, 19 = -4*c + t + 4. Let r = 8 + c. Solve p*s + 5*z = 30, s - r*z = -2 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 + 2*o + 6. Let h be j(-4). Suppose 4*q = -29 - 23. Let f = q + h. Solve t + f = -4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/5 + -2 + -2)\/(-8).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 17 = 3*r - 5*l, 0 = 2*r - 3*l - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78360975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y**2 + 75*y + 19. What is g(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 2. Let d(r) = -14*r + 3. Let k(u) = 2*d(u) + 3*y(u). Let b(h) = -4*h - 5. Let l(w) = -5*w - 6. Let o(t) = 6*b(t) - 5*l(t). Calculate o(k(g)).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -94679053.44 to the nearest 100000.\nAnswer: -94700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 261 = 3*u + 1760, 0 = -2*u + 8. List the prime factors of a.\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - (-252)\/15*-3. Let t = 57 + b. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + (sqrt(3) - sqrt(15)\/sqrt(5)) - 6*(sqrt(3) + 1)))**2.\nAnswer: 96*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**5 + 23304*r**4 - 132336*r**3 + 23454*r**2 + 256935*r + 77850 = 0 for r.\nAnswer: -2595, -1, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 14814.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 44, 1754, 0 in increasing order.\nAnswer: -3, 0, 44, 1754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(539) + (sqrt(539) - 3*(1 + sqrt(539))) + -4 + 2 + (2*sqrt(11)*-2 - sqrt(11)))**2.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5166 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(152) + sqrt(152)*-1) + sqrt(152))\/sqrt(8).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + i - i)*(5*i**2 - i**2 - 3*i**2) + (-220*i**3 + 408*i**3 - 203*i**3)*(-28 - 2 - 55) to the form h*i**3 + a*i + j*i**2 + m and give h.\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1970845?\nAnswer: 5912535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20245942 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 494156.\nAnswer: 494155.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -175777?\nAnswer: 175773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 118 + 135 = 5*r, -2*w = -r + 119. Let n = -51 - w. Let f = n - -31. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.318*-6\nAnswer: -1.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/(-2))\/3*(-87)\/(3741\/268148) is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*p + 91. Let s = p + -14. Suppose -s*j + 1980 = -0*j. Is j a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcr when three letters picked without replacement from rwzzzctdzzwrwzzz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4840072*o*y**3 + 41*y**3 + 3879*y**2 wrt o.\nAnswer: -4840072*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230547?\nAnswer: 3, 43, 79, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 83 = 4*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*f + 18 = 2*f, 4*w + 2*f - 6 = 0. Let s be (2 - w)\/(-1)*2. Let p be s + ((-2)\/4 - (-24)\/16). Is p >= 14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12747, -27581, -44499, -63513, -84635?\nAnswer: -107877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/240)\/(6\/(-5)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 11:31 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*t**3 + 2\/9*t**5 - 2\/9*t + 0 + 4\/9*t**4 - 4\/9*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 10:06 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from {i: 1, h: 2, l: 8, g: 1, q: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777.17 times -33?\nAnswer: -91646.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2529557\/1004905803 - -2\/360569. Let z = -17483\/66888 + h. Calculate the common denominator of -97\/6 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**7\/504 - k**6\/60 + 3*k**5\/80 + 15*k - 3. Factor w(h).\nAnswer: h**3*(h - 3)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjgj when four letters picked without replacement from {j: 10, b: 2, g: 6, f: 2}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o + 12. Let j be o\/(-15) + (-128)\/20. Let x = j - -7. Sort -3, x, 2 in ascending order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2502 and -1\/4.\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b + 19 = 0. Let l = b + 9. Let o = -0.1181 + 0.1181. Is o less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166116 times 125?\nAnswer: -20764500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 42 = -3*c - c, 5*b + 5*c - 115 = 0. Suppose -b = -5*j, 5*w = j - 14 - 91. Let g be (-172)\/(-5) - (-8)\/w. Is g less than or equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2)*1 + sqrt(2) - 3*(sqrt(2) - (sqrt(2) + -1)))**2.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 + 12*f + 2. Let p be i(-7). Let h = p - -225. What is the remainder when 177 is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:33 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1507592 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Suppose -w - 4 = -2*w. Sort -5, w, u in increasing order.\nAnswer: -5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100065348.\nAnswer: 2, 3, 137, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:05 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 - 1 - (-6 + 4 - 12)) - -33.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6990226?\nAnswer: 2, 1493, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -928, -786, -432, 242, 1344, 2982, 5264?\n\"Answer: 18*o**3 - 2*o**2 + 22*o - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-24)\/(-9) - 3) + (-219)\/(-36).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by ((174\/(-15))\/(-1))\/((-4)\/(-60)*2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - k = -3*k + 46, 0 = 3*l + 2*k - 64. Suppose z = -q + 170 + 12, -2*q + 344 = -2*z. What is the remainder when q is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*n**2 + 171*n**2 - 122*n**2)*(-3 + 1 + 1) + 14 - 14 - 37*n**2.\nAnswer: -246*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 8, 57, 158, 329, 588, 953?\n\"Answer: 3*n**3 - n**2 - 3*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -41. Let k be b\/30 - 6\/10. Let q be 3*-1 + 14\/2. Solve -c - q = -k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1602674587 rounded to three decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48764912?\nAnswer: 2, 7, 435401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5467 = 1335*k - 812*k - 752*k - 14685 for k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 1634238*i**3 - 76 + 43.\nAnswer: -1634238*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c + 360. Suppose 3*v - 2*v = c. Is ((-134)\/(-4))\/(9\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 - 3784105 + 3784105.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7749 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 4, y: 1, z: 2}. Give prob of picking 1 y and 2 d.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12432)\/672 - (-430)\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6 - 3*s + s + s. Let p be j(6). Suppose 0 = -5*f + 26 - 6. Solve -f*x + 8*x - 12 = p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189.2 - -3\nAnswer: -186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - 6. Let b(r) = 8*r + 2*r - l*r. Let k(o) = -5*o. Calculate k(b(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/120 + 5*a**3\/6 + 7*a. Let q(b) be the second derivative of s(b). Let f(j) = -j. Determine q(f(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in -6, -48, 0.3?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = n + 4*u, 5*n - 5 = -u. Suppose 792 = 9*w - n*w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/159 and (9\/(-10) + 1)\/((-55)\/(-1265))?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let u(s) = -4625*s + 2313*s + 2312*s + 64*s**2. What is h(u(x))?\nAnswer: -4096*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - c**4 - c**4 - 103*c**4 + c**2 - 3*c**4 - 68*c**4 + (4 - 5 + 2)*(0*c**4 - 2*c**4 + 0*c**4).\nAnswer: -177*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {d: 2, i: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 0 + 50*i - 3.\nAnswer: 50*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from aajajjjaajaja.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 5.92 in increasing order.\nAnswer: -4, 5.92, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 8 + 7. Let j = 2 + m. Which is the third smallest value? (a) j (b) -0.4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-693))\/((-6)\/(-35)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70\/109 + -149\/1635. Calculate the common denominator of p and 115\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12418 is divided by 827.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(2*sqrt(260) + sqrt(260)) - 1*((sqrt(260)*1 - sqrt(260)) + sqrt(260)))*5)\/(sqrt(45) - sqrt(225)\/sqrt(5) - 6*sqrt(5)*-2))**2.\nAnswer: 93925\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:35 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*3\/1. Let u(s) be the second derivative of s**4\/12 + s**3\/6 - s**2\/2 + 2*s. Let k be u(m). What is the biggest value in k, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -255010351 (base 6) in base 8?\nAnswer: -23031133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {o: 3, d: 3, n: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**6*i*i*i\/(i\/(i\/((i*i**(3\/2))\/i))) assuming i is positive.\nAnswer: i**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575 by 82049.\nAnswer: 575\/82049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -21. Let f be (-6 - -2) + (-26)\/n. Let v = 2.94 + 0.06. Is v > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w + 5*s + 15, 0 = w + 4*s - 12. Are -36\/5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1 + 4\/(-2). Let u be 415\/t - 2\/4. What is the common denominator of (-1502)\/u - 2\/(-13) and -17\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23.80137001527 and -67.\nAnswer: -43.19862998473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 990?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let w = 8 - 8. Suppose w = -3*v - 8*v - 220. Let j(r) = -1. Let k(u) = 4. Let g(a) = v*j(a) - 6*k(a). What is g(l) - 3*m(l)?\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Suppose -k*t + 23 - 17 = 0. Calculate the greatest common factor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1213, 2880, 4989, 7534, 10509, 13908, 17725?\n\"Answer: -w**3 + 227*w**2 + 993*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -36965 != -36841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*j**6 + 2*j**5 - 341*j**2 wrt j?\nAnswer: -2280*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.847540541 to 2 dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 6*r**2 - 2. Let g be (5 - (-28)\/(-8)*1)*2. Let n(k) = -26*k + 84. Let p be n(g). Calculate v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/21, 12, -1\/160, 1\/9 in increasing order.\nAnswer: -1\/160, 1\/9, 4\/21, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166618 and 2497?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -32*q**5\/5 + 10*q**4 - 4*q**3\/3 - 2*q**2 + 17. Suppose g(a) = 0. What is a?\nAnswer: -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -497*j**3 + 3*j**2 + 81*j + 16. Let v(x) = 994*x**3 - 6*x**2 - 162*x - 29. Let m(b) = 7*a(b) + 4*v(b). What is the second derivative of m(w) wrt w?\nAnswer: 2982*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:59 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40870.3 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -551 or -549?\nAnswer: -551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563\/87 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68b (base 13) to base 8.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -567 + -0.75\nAnswer: -567.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 35*z**3 - 278*z**2 - 13*z + 106. Determine c(7).\nAnswer: -1602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -115*q - 19335. Give p(-168).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Suppose a = 4*y + 1, -y + 3*a = p + 10. What is the units digit of 18\/(-1)*y\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33068027 is divided by 501?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607864 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 28. Which is the nearest to o? (a) 0.5 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 38864 + 4*a**3 + 2*a - 38872 to o*a + v*a**2 + c*a**3 + r and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + j + j)*(-4 + 4 - 2*j) to the form w*j**2 + f + b*j and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5423, -10554, -15419, -20024, -24375, -28478, -32339?\nAnswer: -35964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-66)\/18))\/((-33)\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3*o - o)*(2*o - 6 + 6 + (-3 - 2 + 6)*(3*o + 3*o - 4*o)) to s*o**2 + w + b*o and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 36. Let x = -5 - 7. Let s = x + 36. What is the highest common divisor of s and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let v = -1.6 + 3.6. Let m = -1737.5 + 1738. Which is the nearest to v? (a) m (b) -2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418470 is divided by 418450?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88.106 + -88. Let r = -0.176 + p. Is 1\/2 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -125, 1, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 177 = -2*r + 89, 3*k - 44 = 2*k - k + r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180657807.\nAnswer: 7, 109, 1547389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*t = 3697 - 85 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5374 = -77*c - 142*c - 222*c + 523 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*n**5 - 6602*n**3 + 8 + 559*n**4 - 4*n + 3*n + 6600*n**3 + 7*n**2 - 4*n**2 - 188*n**5 wrt n.\nAnswer: -180*n**2 + 13416*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 108*h - 1458.\nAnswer: -2*(h - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-5))\/(-1)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-5)*(5 - 0). Let h be (c\/20)\/(1\/5). Suppose -3*t = 2*t - 3*o - 32, h*o + 17 = 3*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4576 and 26.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(1 + 3 - 1) + 2 - 1 + 1 + 9 + 15 + 0)*(0*x**2 - 3*x**2 + x**2).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/198 and 17\/2005992?\nAnswer: 22065912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 37\/6*t**4 + 40*t + 29\/10*t**5 + 0 + 0*t**3 + 0*t**2. What is the third derivative of m(h) wrt h?\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 5. Let s(c) be the second derivative of c**2\/2 - 247*c. Calculate -f(v) + 4*s(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603524?\nAnswer: 2, 150881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -28 + (0 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12410 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1604, 10, -2598 in descending order.\nAnswer: 10, -1604, -2598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 4*v)*(-1 - 2*v - 1 + 7*v**2 - 2*v**2).\nAnswer: -15*v**3 + 6*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 bigger than 1\/6834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -28*g - 3 + 6 - 2. Let f be w(-2). Suppose -2*j - j = -f. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-225)\/6))\/(3336\/22240)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 22\/10)*(-325)\/26. Suppose -b*h + 15456 = 9*h. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*-2)\/3 - -19. Suppose -f = -3*p + 7. Suppose -4*s - p = -3*s + 5*d, -3*s - 2*d + 2 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 - 8*z - 7. Let h be c(-7). Suppose -4*f + 5*f - 3 = h. Suppose -4 = d - 8. Solve f = -d*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -215*z**4\/24 - 41*z**3\/6 - 3*z**2 + 10*z. What are the prime factors of r(-6)?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (3 + sqrt(17))**2).\nAnswer: 6*sqrt(17) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 139 = -118 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37603233?\nAnswer: 3, 71, 83, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*g, 3 = f - g - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b - -10?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(156)*-2 + sqrt(156) + sqrt(156))*-3 + sqrt(156)))\/(sqrt(144)\/sqrt(3) + sqrt(192)*-1) + 2.\nAnswer: -sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 67*j - 6. Let x be 0 + -1 - (-8)\/(1 - -3). Is f(x) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(-4 + 3). Let o be (3\/4)\/3*-83. Let t = o - -43\/2. What is the closest to i in -1\/5, -1\/11, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x - 585. Let v be t(27). Which is the second smallest value? (a) v (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i*i*i*i*i\/i**10)**3*(i\/(i*i**(-6)))\/i**7*(i\/(i\/(i*i*i**(-2))*i))\/i*i**0\/i*i*i assuming i is positive.\nAnswer: i**(-155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/(-14))\/((-3)\/(-4)). Solve 3*d + 4 = l, 3*d = 2*d + p*l - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86126\/1064799 - 2\/3051. Find the common denominator of -27\/5 and r.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983429.1 millilitres to litres.\nAnswer: 983.4291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22931?\nAnswer: 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 1\/4 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:08 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -69. Let a = j + -22. Suppose -4*h + h + 225 = a. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2679 - 66973\/25. Let n = -3.1 + 0.1. What is the third biggest value in 4, -5\/2, n, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 266653, 266654, 266657, 266662?\n\"Answer: d**2 - 2*d + 266654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20406 (b) -1\/2 (c) 0.17 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.3. Which is the nearest to 0? (a) -0.7 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -195, -488, -987, -1704, -2651, -3840?\n\"Answer: -2*s**3 - 91*s**2 - 6*s - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/4)*r\/(r\/(r**14\/r)))\/(r**22\/(r**(-11)*r)) assuming r is positive.\nAnswer: r**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3472*o**2 - 3136*o - 98. Let b(t) = -217*t**2 + 196*t + 6. Let k(p) = -3*a(p) - 49*b(p). Find the second derivative of k(w) wrt w.\nAnswer: 434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-309837)\/(-110) - (-6)\/20. Suppose 2*n - o = 4541. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2518.1152 - -0.2.\nAnswer: 2518.3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4042316451 to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0297 - 4.9703. Let s be (-2)\/(-5) + 558\/(-1320). Let r = 79\/396 - s. Sort r, u, -1\/3 in decreasing order.\nAnswer: r, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 239*c + 285. What is the thousands digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 1, k: 1, g: 2, r: 1, l: 1}. What is prob of picking 1 g, 1 l, and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 - 816*q**3 - 247*q**4 - 237*q**4 + 482*q**4 to the form t + a*q**4 + v*q + i*q**3 + g*q**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + 5.2. Let i = v - -0.3. Let t = -7 + i. Which is the closest to t? (a) -0.2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f - 3. Let t be c(-1). Solve t = -5*d - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(4*(sqrt(24)\/sqrt(6) + sqrt(4)) - sqrt(4)))**2 + 1 - ((sqrt(1331) - sqrt(1331)*2)*-1 - (-1 + sqrt(1331) + sqrt(1331) + -2))**2.\nAnswer: -65600\/49 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 9*p**3 + 3*p - 16*p + 4*p + 117*p**2.\nAnswer: 9*p**3 + 117*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/79420 - 1359991\/2025210. What is the common denominator of i and -121\/108?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50992*k**2*p - 2*k**2 + 2*k + 11312 wrt p?\nAnswer: 50992*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 1186455877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 19. Let t be (-1)\/4 + c\/(-4). Suppose -t*s + 1 - 5 = 0. Is s at most -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21212021 - -211?\nAnswer: -21211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 12 + -2 + -8 - 33 - 3\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 26 + 4. Let t = -1 - -1. Suppose -4*o = -t*h + 4*h - 16, -4*h = -2*o - 28. What is the remainder when c is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1) + 1 + 6. Let z(i) = -i**3 - 47*i**2 - 90*i - 5. Let q be z(-45). Sort o, q, 4 in descending order.\nAnswer: o, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20 = -r - r, -3*r = -12. Put -2, 0, j in ascending order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + 8. Suppose q = 3*k - 85. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*1\/32*4*46\/253*-44.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 + -4.56. Let k = 0.46 + f. Which is the fourth biggest value? (a) k (b) 2 (c) 8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1 (b) -3 (c) -335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2201321 (base 6) to base 3\nAnswer: -12112210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 88 = -2*f. Let l = f + 35. Let c = -16 - -31. What is the remainder when l is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 8*x + 24. Let o be v(5). What is the highest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3258577.\nAnswer: -3258577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*n + 85. Calculate the remainder when 49 is divided by (-7)\/(n\/(-30)) - (-1 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 j when four letters picked without replacement from ejjjjjjj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5888408\/229 or -25713?\nAnswer: -5888408\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l**4 + 50*l**3 - 50*l**3 + (-l**3 - 2*l**3 + 2*l**3)*(22*l + l + 9*l).\nAnswer: -19*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.8 + 24. Which is the biggest value? (a) l (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13351 = 300*k - 498 + 14183 - 4236 for k.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*y + 123*y + 113 + 63. Which is the nearest to 0? (a) 2\/19 (b) -0.4 (c) -65 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + 47. Let w be n*1 + 5 + -3. What is the greatest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 19908?\nAnswer: 1\/1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4539 - -4281.3. Let q = -258 - t. Put -0.1, q, 97 in increasing order.\nAnswer: q, -0.1, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75278003\/2267 - 33206. Let m = v + -210835\/9068. What is the common denominator of 101\/2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 8*y**2 - y + 4. Let g be t(-6). What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 1155 - 2954. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r - 6. Let o(s) = 73*s**2 + 1. Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.091 * -1579\nAnswer: -143.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(78) - ((sqrt(78)*-2 - sqrt(78)) + sqrt(78))) - sqrt(78))\/sqrt(6)*-3)**2.\nAnswer: 42237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -4. Let w be 0 - (-2)\/(-6)*q. Let p be (-3)\/8 - 3*76\/(-96). Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 206 = 194 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234232 (base 5) to base 13.\nAnswer: -3c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34074061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1353133552 - -4?\nAnswer: 1353134000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/234 and 5370\/2327*4\/54.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose 3*j = -4*d - t + 32, -j - 2 = -d. Suppose -16 = s - 3*s. What is the least common multiple of s and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(11 - (-36)\/27). Suppose 12 - 37 = -5*n. Find the second derivative of -j*y**5 + 15*y**5 - 8*y + 11*y**n wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908292.\nAnswer: 2, 477073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(189\/(-60)) + 3. What is the second smallest value in 3\/2, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64952 and 458900?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2952 - -3465. Calculate the remainder when w is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 67, 8, 14\/9, -1\/4, -0.4.\nAnswer: -0.4, -1\/4, 14\/9, 8, 10, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107 + -105)*20\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 + 664*q**4 - 55106*q**3 - 1996*q**2 + 166664*q - 110224 = 0 for q.\nAnswer: -2, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 61*n**2 + 900*n - 58. Calculate b(-27).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 19*r**2 + 4*r - 7. Let k be o(9). Suppose 145 + k = 3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*f + 2*f, 3*u - 1 = 2*f. Suppose 2*q = s - 144400003, -3*q - u*s + 51559068 = 268159059. Round q to the nearest one million.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - n + 3*n = -14, 2*j = -n - 14. Let v be (20\/(-35)*j)\/((-1)\/(-11)). Calculate the highest common divisor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10804702 and -0.3.\nAnswer: 10804701.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1029?\nAnswer: -1\/1029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 5. Let d be ((-8)\/(-10))\/((-1)\/(-10)). Suppose -4*t + d + 4 = 0. Suppose -t = -x + 1. Calculate m(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289\/2 + 15899\/110. Let g = p - -84\/715. What is the smallest value in -1\/4, g, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30215 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 17*x + 36 = 2*v, x = 4*v - 108. Solve 30 = v*c - 41*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqatqqtataqq. What is prob of picking 2 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 28246530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -f + 64 + 559. Solve -f*s = -90*s - 9 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12 + 0*u**3 + 6*u**2 - 5*u**2 + u**3 + 5*u**2 + 7*u. Let i be g(-5). Put i, -2, 4 in ascending order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 64. Let n be t(0). Suppose -4*g = -n - 124. Suppose 0 = 3*u + 2*h - 58, h = -u - 3*u + 69. Calculate the remainder when g is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3168, -5700, -8228, -10752, -13272, -15788, -18300?\n\"Answer: 2*a**2 - 2538*a - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 37*u - 1. Let q be l(1). 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: Let j(g) = 6*g - 4. Let l(a) = -a + 1. Let w(s) = j(s) + 4*l(s). Let r(z) = -2*z**2 - 2*z**2 + 5*z**2. What is w(r(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 + 1021\/6. Which is the fourth smallest value? (a) -4 (b) l (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 - -600993?\nAnswer: 600895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z + 4*n - 157, 5*z + n - 163 = 0. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2137 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:35 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + -4 + 7 + -4. Let d(n) = -14*n - 18*n + s*n. Suppose -2*p + 3 = p. Give d(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:20 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6 - 3*f + f - 5*f**2 + 4*f**3 - 3*f**3. Suppose -3*l = -2*j + 23, -24 = -j + 5*l - l. Let m(i) = 2*i - 3. Let h be m(j). Give k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 78 - 98 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + -2)*-5) + 5 - ((sqrt(21)\/(sqrt(108) - sqrt(27)))**2 + 3).\nAnswer: -79\/9 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 1. Let l = 7 - 8. Let d(v) = -v**3 - 8*v**2 + 9*v + 6. Let b(y) = l*d(y) - 2*j(y). Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680 = -87*g + 1060 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 61*z - 75 = 0. Is -15 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 6*r**3 + 4*r**3 + 7.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7024794.\nAnswer: 2, 3, 7, 19, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 80, -7, -0.2, 0.09, 0.5 in increasing order.\nAnswer: -7, -4, -0.2, 0.09, 0.5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + a**2 + a + 2. Let l(w) = 11*w**3 + 381*w**2 + 9*w + 12. Determine l(v) - 6*z(v).\nAnswer: -v**3 + 375*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1644)\/120 + 14 + (-45)\/(-50).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)*h**(-4))\/(h**(2\/7))**(1\/7) assuming h is positive.\nAnswer: h**(-445\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:51 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*h**2*n**5 - 5365*h**2*n**2 + 27*h*n**5 - h*n**2 + 2 wrt n?\nAnswer: 2520*h**2*n**2 + 1620*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 45, 148, 341, 654?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, r: 1, a: 4, t: 4, m: 1}. What is prob of picking 1 m and 1 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1319 by 416.\nAnswer: -1319\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0\/(-3))\/(-2 + 3). Suppose 5*v + 7 = p, -4*v = -q*p + 2*p. Is 259 + v + (-5)\/20*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(56)\/(sqrt(252) + sqrt(7))) - ((1 + (sqrt(7) - sqrt(21)\/sqrt(3)))*4)**2.\nAnswer: -16 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 + 552 - 12)*(15 - 60 - 13)*(q + 2*q - q).\nAnswer: -103356*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(175) - (2 + -3*sqrt(28)\/sqrt(4))**2) + 1.\nAnswer: -62 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.65 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 2*x + 80*x**2 + 734 - 732 to o*x**2 + s*x + r and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 33 = -3*d - 8, -2*p + 4*d = -36. Suppose g + g = -p. Put g, 3, -3\/5 in descending order.\nAnswer: 3, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (25 - 23)*(-10)\/4. Let n be (10\/60)\/(v + 6\/(-9)). Which is the third biggest value? (a) n (b) -3 (c) 0.38 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 0.4. Which is the nearest to 2\/11? (a) d (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 224. Suppose 0 = -2*k + 12 + c. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -60 - 48. Calculate the lowest common multiple of 186 and r.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l + 28. Let f be b(-1). What is the third derivative of -1404*y**3 - 3*y**2 - f*y**4 - 33*y + 1439*y**3 + 19*y**4 wrt y?\nAnswer: -24*y + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -19.055. Let q = -0.0550066 - i. What is q rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135502223 - -152?\nAnswer: 135502405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*y - 19 + 7 = 0, 5*y = -3*i - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 2*m - 498. Let v = -605 + 805. Calculate the highest common divisor of v and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9221 + 9221.37. Is p at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i + 5. Let x(j) = j + 1. Let c(w) = o(w) - 5*x(w). Let l(r) = -r + 6. Let m be l(9). Let v(g) = -4*g**3. What is m*c(a) - v(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:37 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 divided by -143?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 - 933*d**2 - 3450*d + 195936 = 0.\nAnswer: -16, 13, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:30 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 25 + 5. Let t = 22 - 14. Solve y*i - 2*i + t = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1781 + 1?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18655 by 13.\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t**(4\/3)*t*(t*((t\/(t*(t*t\/t**(-12))\/t*t))\/t)\/t)\/t**(-13) assuming t is positive.\nAnswer: t**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**5\/9 + 232*r**4\/9 + 440*r**3\/3.\nAnswer: 2*r**3*(r + 6)*(r + 110)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11035 + 11149 - (1 - -147).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 1202*f + 26958. Let c be b(22). Let m be (3\/2)\/(2\/16). What is the greatest common divisor of m and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0477 + 24.8523. Which is the second biggest value? (a) -1\/2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.9 - -6. Let l be 5\/(-9) - (-2)\/9. Let i(s) = -s**3 - 2*s**2 + s - 2. Let j be i(-3). Sort j, k, l in descending order.\nAnswer: j, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 2, -0.3, -477?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-10))\/(-36))\/((-9)\/198*2\/3)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/17 + 21728*h\/17 - 59013248\/17 = 0?\nAnswer: 5432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 - 28 - 2*g**2 + 82 + 6*g - 5*g as q*g**2 + r*g + u*g**4 + z + k*g**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12.2*-6\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i - 1 + (45 - 11 + 12)*(1 + 3*i - 1))*(4 + 7 + 8)*(2 + 0 - 3).\nAnswer: -2660*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3234 + -1326?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 19 - ((-6 - -1) + (-102 - -110)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22708 is divided by 236?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + -22.94. Let h = u + 22.78. Let z = 0.18 - h. What is the biggest value in z, -0.1, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12304*b + 20896 = -1406368 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155656.\nAnswer: 2, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701217279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/4 - 65*z**2\/4 + 25*z + 105.\nAnswer: -5*(z - 3)*(z + 2)*(z + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6457.677 months to decades.\nAnswer: 53.813975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-14))\/(154\/539*(-3)\/1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -3*c**5\/10 - c**4\/12 - c. Let j = 124 - 125. Determine x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819491?\nAnswer: 819491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 333137.\nAnswer: 3997644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -112, -160, -196, -220?\n\"Answer: 6*t**2 - 78*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 6 = 2*t, -4*t = -2*d + 4 + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18 = k - 21, 0 = -3*k + 12. Let z be 14\/10 - b\/((-280)\/16). Is z less than 2\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333622519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 17. Let w(h) = h**2 + 13*h + 5. Let i be w(-9). Let c = u - i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3004 + 8177 = -388*l - 71 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(80\/30))\/(6\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Suppose 0 = -3*j + 9 + 3. Let o = 0.3 - 0.4. Sort o, g, j.\nAnswer: g, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*r + 31 - 9, 2*r = -i. Let o be (-8)\/(-20) - r\/5. Suppose v - 10 = -o*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l. Let u(m) = -2*m**2 + 25. What is u(o(q))?\nAnswer: -32*q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3526 = r, 3*r = 3*i + 2039 - 12611. Suppose 4*w + 11*w - i = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1720*x. Let a(y) = 5*y. Give m(a(g)).\nAnswer: -8600*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11*(1 - 2) - -225 is divided by 76?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17641 + 35292 + 2*p**3 - 17651.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.29391 and -4?\nAnswer: 9.17564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = -2*c - 10, -3*i = 5*c + 25. Let i*t + 0 - 2\/3*t**2 - 2\/3*t**4 + 4\/3*t**3 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -474*q**3 - 3792*q**2 + 18*q + 149. What is t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 20. Suppose 0*f - 3*f = -i. Let d(p) = p + 14. Is 6 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k**2*x - 930*k**2 - 15994466*k*x + 139*k + 4 wrt x.\nAnswer: 3*k**2 - 15994466*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3, -38*q + 33*q = o - 614. Calculate the lowest common multiple of o and 1.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(1\/3))**(-8\/11)\/(k**(-1\/5)\/k)**(-34))**(1\/70) assuming k is positive.\nAnswer: k**(-3466\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 3\/1312?\nAnswer: 3\/1312","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = -q. Let s = q + 16. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, 3, 394239, 0 in ascending order.\nAnswer: -4, -1, 0, 3, 5, 394239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = -u + 16, -4*t = -4*u. Solve -t*n = -5*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01895 from -0.0787216.\nAnswer: -0.0597716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - (-37)\/3. Suppose -2*t - 2*s = -18, -15 = -t + 41*s - 44*s. Solve -t*l - 17 = a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i*t**4 - 195*i*t**3 - i + 17 wrt t?\nAnswer: -8*i*t**3 - 585*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8539, -8559, -8579?\nAnswer: -8599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(8).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966b8 (base 12) in base 7?\nAnswer: 3540464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7665 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26367.0027642 - 26367. What is w rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 192916.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/(-52) - 3)\/(3\/(-2))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*z + 5, -13*m = -18*m + 91*z + 177 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*((sqrt(350) + (sqrt(350)*-2 - sqrt(350))*-1)\/sqrt(10))\/(sqrt(60)\/(sqrt(192) + sqrt(192) + -2*sqrt(192) + sqrt(192)))*-3)**2.\nAnswer: 384*sqrt(7) + 258049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 7376294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.47997 rounded to 1 decimal place?\nAnswer: 807.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, 0.4 in descending order.\nAnswer: 37, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2030031 (base 4) to base 15\nAnswer: -29d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 12*m**2 + 3*m - 2. Give v(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-2*sqrt(228))\/sqrt(12))**2 + (sqrt(475) - (sqrt(475)*1 + -1)))*6.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496 is divided by 114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x + 49*x - 920 = -940 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189.96*0.3.\nAnswer: -56.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 8*u + 4. Suppose 5*h - 2 + 22 = 0. What is the units digit of n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5903664 - 5939906.631. Let f = -36228 - v. Let b = f + -14.7. What is b rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 42146?\nAnswer: 252876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 61.8, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/1056 - (-17)\/(-12))*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*q**2 + 6*q**3 + 1038*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.3786t in milligrams?\nAnswer: 416378600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 407342917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 7. Calculate the remainder when 41 is divided by z(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 5. Let r be l(-7). Let w = -1951 + 1951.03. What is the third biggest value in 2\/9, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 64 (c) 35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b + b**2 - 13*b + 2 - 1 + 24*b to i + a*b**2 + h*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 6 in descending order.\nAnswer: 6, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -82*d - 482. Let i be r(-6). What is the greatest common factor of i and 480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2. Let t(u) = -u**2 - 8*u + 2. Let n be t(-5). Suppose -36 = -9*k - 9. Let h(r) = -n + 17 - k*r. Determine h(p(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 75.1. Which is the nearest to 0? (a) y (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**(-5)\/p)*p*p*p**(2\/5)*p*p**(-1)*p\/(((p\/p**(-3\/7))\/p)\/p) assuming p is positive.\nAnswer: p**(349\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -19. Let u = -27 + m. Let w(z) = 3*z**3 - 5*z**2 + 4*z. Is 12 a factor of w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*k**5 - k**4 + 16*k**3 - 4075*k**2 wrt k?\nAnswer: 1380*k**2 - 24*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o = -81*o. Let g(d) = 5*d + 9. What is g(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6*l + 66 = -8*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883012166 a multiple of 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25394375 or -25394374?\nAnswer: -25394375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*k**2*x**3 + 3972*k**2 - 20658*x**3 - 7 wrt k?\nAnswer: 106*k*x**3 + 7944*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2105*p**2\/2 + 33679*p\/2 - 8 = 0.\nAnswer: -16, 1\/2105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + y - 2*y + 273 = 0, -4*y = -4*j - 540. Let r = -47 - j. List the prime factors of r.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96 and 8213.\nAnswer: -788448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2952 + -2664. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 13913578.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65623920, -131247833, -196871746, -262495659?\n\"Answer: -65623913*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 506 = -67*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 7}. What is prob of sequence llql?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0150806 take away 14.4921?\nAnswer: -14.4770194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7364104*w**3 + w**2 + 59315361*w.\nAnswer: 44184624*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1444310 + -21102?\nAnswer: -2020412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5026, -10037, -15028, -19993, -24926, -29821, -34672?\n\"Answer: m**3 + 4*m**2 - 5030*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w - 36 = 0, -b + 0*w = -w + 9. Let x(n) = 2*n**2 + 5*n - 25. Is x(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*x**3 + 309*x?\nAnswer: 132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 2*b**2 - 7 + 7 + 11*b**2. Let r be x(1). Solve 5*o - r = g, -4*g + 3 = -0*g - 3*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-45)\/(-33)))\/((-51)\/(-5610)*-11)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i - 5. Let p be q(5). Suppose -t - 8 = 4*o, -o + 4*t + 1 - 3 = p. Which is bigger: o or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -610*y**3 + 351*y**2 wrt y?\nAnswer: -3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 + -393. Let n = k - -196. Which is the nearest to n? (a) -4 (b) 4 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/1438 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6ad - 18?\nAnswer: a695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8367850?\nAnswer: 2, 5, 101, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 + 226 - 1154 + 232 + 231 - 1370*w + 234.\nAnswer: -1370*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {q: 2, s: 6, g: 6, n: 2, x: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 g when three letters picked without replacement from {h: 2, w: 1, n: 1, g: 1, o: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 34 = -3*c, 46 = 5*i + 8*c - 6*c. Solve -5*l = 2*t + 12, -i*l - t + 3 = -12*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 21*s - 40. Let h be 3600\/198 + 4\/(-22). What is the tens digit of m(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 13. Suppose -m*u - 9 = -49. Calculate the remainder when u is divided by (-60)\/(-14) + (-4)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178685543 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5 + 4*k - 5*k**2 + 5*k**2 wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 119*k - 4582 = -16966. Let v be -5*6*4\/(-10). Calculate the greatest common divisor of k and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345471 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p*(p\/p**(-2\/5))\/p)\/p*p*p)\/((p*p**(-3)\/p)\/p))\/(p\/p**(-1))**(-22\/9) assuming p is positive.\nAnswer: p**(598\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:31 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 130, 231, 374, 571?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66536247?\nAnswer: 3, 59, 199, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwaxwgxaabawxw. Give prob of sequence wxa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32019, -32023, -32027, -32031, -32035, -32039?\n\"Answer: -4*y - 32015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53469636?\nAnswer: 2, 3, 11, 405073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 2*y - 2. Let n(w) = -w**2 + w - 1. Let g = -54 + 56. Let h(u) = g*n(u) - b(u). Let c(l) = -21*l**2. What is h(c(q))?\nAnswer: 1323*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 74\/19*c**3 + 8\/19*c**5 + 54\/19*c**4 - 10\/19*c + 18\/19*c**2 = 0.\nAnswer: -5, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 6*r + 8. Let u(x) = x**2 + 18*x - 7. Let a be u(-18). Give d(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 8.91?\nAnswer: -9.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2693.92 + -17406\nAnswer: -20099.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 122?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-1))*(-72)\/(-66)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x. Let l(j) = -6*j + 1. Let t be l(0). Let v(p) = 21*p**2 - 258*p + 48. Let a(r) = t*v(r) - 12*m(r). Factor a(n).\nAnswer: 3*(n - 8)*(11*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(11)*5)*-2 + -2 + -2*sqrt(176) + sqrt(1331)*-5)**2.\nAnswer: -876*sqrt(11) + 58655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003411930447 to six decimal places.\nAnswer: -0.003412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2575.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 3*q + 0*q + (-2 + 1 - 1)*(0*q + 3*q - q) - 2*q + 2*q - 2*q + 1 + 2*q - 1 + 2*q + 0*q - 3*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14042*h**3 - 2*h - 10987.\nAnswer: 42126*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (33 + -50 + 2 + 18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (0\/(-2) + 13). Let h be l*-2*2\/8. Solve -h*f + 2 = -8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/15 - 54\/45.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56*9\/360 + (-3)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 - 50. Suppose s = -2*i - 4*i. Let w = i + 82. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 129*g + 261. Let p be d(-2). Solve -3*q + 3*j = 21, -6*q - 5*j = -p*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-1 + 1 - 2*a) + 2*a - 4*a + 6*a + (51 + 43*a - 51)*(-2 + 4 + 0).\nAnswer: 88*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -43.\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by 6.\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k + 254. Let v be (2 - 2)\/(-2 - -3). Suppose v = 2*t + 3*t. Is j(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l. Let v(y) = 2002*y**2 + 6. Determine m(v(g)).\nAnswer: 22022*g**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264310337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 934560 and 176292.\nAnswer: 77568480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -13*z**2 + 6*z + 16. Let k = -25 + 55. Suppose k = -4*w - w. Let p(n) = -n - 1. Let m(g) = w*p(g) - a(g). Find the first derivative of m(u) wrt u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*f = 2*t - 10, 0 = -3*f. Let o be (-4)\/(112\/6)*(-3160)\/(-1185). What is the nearest to 0 in 6\/7, t, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 + 39*i - 8. Determine o(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001 divided by -342?\nAnswer: 667\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -5*i, 3 = 2*i + 1. Let y be -3 + (-1 - h) + 6. Let q(n) = n**3 - 8*n**2 + 4*n + 8. Determine q(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/69363 and 163\/215796?\nAnswer: 1942164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 + 308. What is the common denominator of (138\/16)\/(9 - (-585)\/c) and 37\/49?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7914 is divided by 344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.9, 3, 2\/17, -2\/5?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*b**3 - 354*b**3 + b - b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 5. Let k be p(-7). Let r be (0 - 0) + -3 + k. Let g = 100 - 97. Solve 3*l - r*n + 7 = 0, g*n + 11 + 7 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqqq when four letters picked without replacement from {q: 3, t: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/((-11)\/(-273878)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -5, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**6\/6 + r**5 - 5*r**4\/12 - 5*r**3 - 139*r + 62. Let t(o) be the first derivative of s(o). Factor t(p).\nAnswer: -5*p*(p - 3)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. What is the first derivative of -16*p**3 + p**k + 10*p**3 + 7 wrt p?\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*m + 546*m + 15 = 0. Suppose 4*w = m*w - 4. Which is smaller: w or 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/9)\/(4\/18). Suppose w = 2*z - 20. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(9\/(-2) + 3). Solve o*q - 5 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115.4 + -95. Let j = l + 1.4. Let q = -18 + j. What is q rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -684410.4?\nAnswer: -20532.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 9 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o + 9*a - 9*a + 3*a - 183, -3*o = -3*a - 33 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -19.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x + 6 = 0. Suppose -3*q - 2 = -4*q + 2*y, -x = 3*y. Sort -5, q, -1 in increasing order.\nAnswer: -5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -314, -3 in ascending order.\nAnswer: -314, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7082177*o**6 - 9*o**5 - 2*o**2 + 24*o - 1324416 wrt o?\nAnswer: 849861240*o**3 - 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 8*g - 4. Let a(u) = 32*u**2 - 23307*u - 5816. Let w(c) = -a(c) - 6*n(c). Factor w(q).\nAnswer: -5*(q - 1168)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 171*x - 14. Let i be u(1). Let n = i + -157. Solve n = -5*o - 8 - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486389.\nAnswer: 486389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, q: 2, r: 2}. What is prob of sequence wqwq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 171. Give z(44).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3449 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 420 = 340. Let v be ((-6)\/16)\/((-19)\/f). Put 0.03, v, 1 in decreasing order.\nAnswer: v, 1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 66*u - 432. What is m(-72)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68756021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 50 = 0. Let k be 2*(-2 + 23\/w). Let s = -6 - -3. Which is the smallest value? (a) s (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5 + 33. Let a be 3*(p + 3 + -1). Let y = a - -82. Calculate the remainder when y is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -63*n - 301. Let a(q) = -42*q - 217. Determine -7*a(h) + 5*t(h).\nAnswer: -21*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*d + 2)*(82*d - 1270 + 1270 - 4*d) to c*d**2 + j*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 9*k**2 + 22. What is u(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 38b?\nAnswer: 38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*a + 273 - 273)*(-2 + 1 - 1) - 2080*a + 2571*a + 1700*a in the form v*a + o and give v.\nAnswer: 2241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/9))**(-4\/31)\/(z*z*z**3*z**18) assuming z is positive.\nAnswer: z**(-6461\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 8 - 7*r + 4*r + 15 + r as o*r + p + n*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2566 divide 268906513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 4, m: 5}. Give prob of picking 1 m and 2 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4278581*t**5 + 15087915*t**2.\nAnswer: -256714860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014080225 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 times 1?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 - 181. What is the remainder when 916 is divided by b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*a + 245 - 14, 308 = 4*c - 4*a. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -388076.27 to the nearest 1000.\nAnswer: -388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, o: 4, e: 5, i: 2}. What is prob of picking 2 e and 1 o?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644 is divided by 635?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-9)*(-1332)\/(-296)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1548 and 143\/2064.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 157334\/(-291) - 4\/(-6). Let z = a - -543. Solve 5*r = 4*d + 2, 18 = -0*d - 4*d - z*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s + 3*s)*(-2 - 3 + 6) - 1413*s + 700*s + 671*s + 23.\nAnswer: -41*s + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 5*x)*(-2*x + 3*x + 0*x) + (-8*x - 17*x + 8*x)*(0 - 2 + 1)*(3*x - x - x).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1516, -5, -4 in ascending order.\nAnswer: -5, -4, 3, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -6 - 43\/2*d**2 - d. Let o be s(-1). What is the highest common divisor of 28 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23352.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1\/3) + (-23 - -20). Suppose 12 + 14 = -2*a. Let k = -9 - a. Put 1, x, -2, k in descending order.\nAnswer: k, 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29510927123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 7. Let z(u) = 4*u**3 + 4 - 4*u**3 - u**3 + v*u**2. Let a be z(4). Solve -f - f = a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -46, 2 in decreasing order.\nAnswer: 7, 2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5, -2\/15, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-5 + -1 + sqrt(3) + 0 + 3 - (4*sqrt(384)*-4 - sqrt(384))\/sqrt(8))**2.\nAnswer: 176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3. Let d be g(-4). Let r(i) = 3*i - 14. What are the prime factors of r(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 + 6*m + 1. Let l(c) = c**2 + c - 2. What is 2*l(q) - p(q)?\nAnswer: -q**2 - 4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -13, 23, 75, 149, 251, 387, 563?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537402 is divided by 933.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50687141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 11*i - 3. Let a be u(-6). Suppose a*v - 160 = 2*q, -228 = -4*v - 0*q - q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1683, 1730, 1827, 1986, 2219, 2538, 2955, 3482?\nAnswer: 4131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = -5*c - a, -5*c - 2*a + 15 = 0. Let s = 1 - c. Let l = s + 0. Solve 0*f - 3*f - 9 = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 2*k - 13. Let l be j(-9). Let g(z) = 4*z - 3. Let y be g(2). Solve -5*m - l = 3*v, 2*v + 2 = -y*m - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 4*g = -38, 5*y - 2 = 6*y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(3*(-1)\/7). Solve -m*a + 51 = -75 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollooollloolwoooooo. What is prob of sequence lllo?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4710\/1400 + -1 + 1 + -4 and 31\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-47)\/(-9) - (-2)\/(-9). Let k be (-18)\/45 - (-137)\/v. Let h = 41 - k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -6 + (-4 - -9). Suppose 12*o + 4*o - 6*o = q. Solve o*g + 4 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 124.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 196?\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4867836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/20 + 5410757\/117370.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 6*t + 6. Let v be (-2*3\/2)\/((-42)\/56). Let a(m) = -v*m - 107 + 53 + 3*m + 58. Let y be a(-2). Calculate c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -174 in -0.3, 1\/2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 2, -2, 0, -30, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 125328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13 = 2*c - 13, 28 = 2*k + 3*c. Solve 3*l = -3*t + 15, -t + 2*l - k = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490, 852, 1214, 1576?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 37*y - 71. Determine v(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5792 + 2903 + 984*h + 2889 + 105*h.\nAnswer: 1089*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f. Let s = 27\/26 + 2545\/78. Let r = -34 + s. Is r equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 7*v - v. What is the biggest value in 2, v, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151874 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/54)\/((-4)\/(-6))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 7744?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 40. Let r be h(-7). Suppose 0 = -r*a + 315 - 189. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -149*i**2. Let r(f) be the second derivative of 1 - 1\/3*f**3 + 0*f**2 - 27*f. What is a(r(z))?\nAnswer: -596*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485, -486, -487, -488?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.63 + 12.63. Which is the biggest value? (a) -1 (b) 6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 9*t**2 - 289*t - 2301. Determine c(-8).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -3, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1 - (-4 - (2 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30937988?\nAnswer: 2, 7734497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 40938\/1151?\nAnswer: 40938\/1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 + -176. Let v be c\/(-189) - (33\/(-7) - -5). What is the third biggest value in v, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -1142, -1639, -2140, -2645, -3154, -3667?\nAnswer: -4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-925)\/(-175) - (-2)\/(-7). Find x such that 2 - 2603*x**5 - 5*x**4 + 6*x**3 - 2 + 2602*x**o = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 5*s**4\/4 - 5*s**3 - 1485*s**2\/2 - 8505*s - 12928. Factor y(g).\nAnswer: 5*(g - 21)*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/34 - -61\/238. Is f bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, i: 1, c: 2, j: 2, v: 1, a: 3}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 445, 454, 463?\n\"Answer: 9*h + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 85*g - 21*g)*(3*g**4 + 2*g**4 - 3*g**4).\nAnswer: 130*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:04 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006992386 to six dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t - 186. Suppose 43 + t = 5*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 6) in base 5?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1991 divide 2426882048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837243622 is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - -0.12. Let a = -7 + 5. Do o and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 158*h + 2534. Let y be u(-136). Round y to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 8*d - 49. Let s = d - -48. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -8\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 640.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(((1*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10) - sqrt(7) - sqrt(7)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 4*q**5\/5 - 2*q**4 + 4*q**2 - 4*q - 6. Find f such that l(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y**2 - 16 + 18 + 9*y**2 to q + k*y**2 + n*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:02 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r = -74*r. Solve 4*l + 4 + 8 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -150*z**5 - 130*z**4 + 162*z**3 + 146*z**2 - 12*z - 16 = 0.\nAnswer: -1, -4\/5, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and (36\/15)\/(22\/55)?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(132) + sqrt(132)) + -6*-2*sqrt(132))\/(sqrt(12) + (-3*sqrt(24))\/sqrt(2) - ((sqrt(1764) + sqrt(36))\/sqrt(3) + sqrt(12))).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 4*m + 10627. Let c(p) = 131*p + 2. What is o(c(r))?\nAnswer: -34322*r**2 - 1572*r + 10611","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12.10525060579333 - 5\nAnswer: 7.10525060579333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 194, 710, 1704, 3332?\n\"Answer: 26*z**3 + 5*z**2 - 3*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 326587 and 4.\nAnswer: 326591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1624 - 1624.3. Put -4, 2\/7, p, -0.24 in decreasing order.\nAnswer: 2\/7, -0.24, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24676\/4145 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 2 c when four letters picked without replacement from yssscseeccssed?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 12. Suppose -4*k - 11 = -3*i + 3, 2*k = r*i - 12. Suppose 4*o = -5*p + 44, -3*o - 4*p = -i*o - 11. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 4, f: 3}. Give prob of sequence kw.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 17. Let p(b) = b**3 + 8*b**2 + 7*b + 4. Let o be p(s). Solve -o*v + t + 14 = 0, 0 = -v + 6*v - 4*t - 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1592\/45 - -178\/5. Find the common denominator of -6\/11 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589258 is divided by 6403.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 298\/5 + -351\/10. Find the common denominator of x and 25\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313 - 330. Let j = s + 19. Solve -5*z - 16 = -4*x, -4*z + 3 = -j*x + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h**4 + 22851378*h**3 + 3*h + 575599398 wrt h?\nAnswer: -12*h**3 + 68554134*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 91, 111, 147, 205, 291, 411?\n\"Answer: o**3 - o**2 + 6*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126004846*o + 193382409 with respect to o.\nAnswer: 126004846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2673)\/(-10395))\/(12\/(-7))*(-4)\/(-6)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. What is the first derivative of 11*w**4 + y*w**4 + 2*w**4 - 5 wrt w?\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 999*i**2 - 1010*i**2 - 10*i + 15*i + 4*i + 2*i.\nAnswer: -11*i**2 + 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-57) - ((-1035)\/95 + 7). Let k(x) = -57*x - 17. Let u(q) = -19*q - 5. Let z(p) = f*k(p) - 11*u(p). Let c(l) = 3*l + 2. What is 39*c(y) + 6*z(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/12 + y**3\/3 - 2*y**2 - 26*y. Let z be d(-2). Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1467\/4 - 366. Let m = -2.01 - -0.01. Let n be 72\/(-224) - ((-27)\/(-14) - 2). What is the closest to m in n, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3621314 divided by 2.\nAnswer: 1810657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 4. Let f(y) = -y + 1. Determine -11*f(j) + 2*m(j).\nAnswer: -j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 11 = -5*v, -3*o + 2*v + 3 + 8 = 0. What is the third derivative of -3*b**2 - 5*b**3 - 5*b**2 + 4*b**o wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:28 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5919 - 3877. What are the prime factors of v?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 - (-32 - -60 - 20) - -30\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-6) + 4 + -1. Suppose -237*x - 243 - 53 = 178. Which is the third biggest value? (a) -2\/7 (b) 2 (c) x (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 18, t: 2}. Give prob of sequence vtvt.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(2\/(-3)))\/(6\/(-44)). Let j(x) = -7*x**2 + 23*x + 30. Let a(p) = 10*p**2 - 34*p - 45. Let y(s) = 5*a(s) + 7*j(s). Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022615 plus -0.09647057?\nAnswer: -1022615.09647057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4 + -7.4. Suppose 3*d - 22 = -7. Let m = -156\/5 - -31. Put d, m, x in descending order.\nAnswer: d, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14966389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*i - 79*i + 5 - 1 + (0*i - 2*i + 4*i)*(0 + 3 - 2) in the form q*i + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181974?\nAnswer: 2, 3, 13, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35056 and 64.\nAnswer: 140224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/(-5))\/32*(-1)\/10*1?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14 + 7420*a - 3718*a - a**2 - 3712*a. What is u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81646, -159327, -237008?\nAnswer: -314689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 7. Let c be z(-3). Let i be c - -3 - 423\/(-3). Suppose 0 = 5*t - i - 126. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.010873133 - 119.010966133. Let j = -119 - k. Round j to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 6*j - 9*j = 0. Let u(g) = -g**3 + g + 21. Determine u(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 127, 113, 93, 67, 35?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - 4*n - 4. Let q(b) = 36*b**2 + 21*b + 21. Let w be 2\/(0 - 1)*-4. Suppose y - w + 4 = 0. Give y*q(a) + 21*l(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 = 1. Let b = y + 5. Calculate the remainder when b\/(-6)*(-1 - 20) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 2, p: 1, k: 2}. Give prob of sequence ip.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 717357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + (sqrt(2880)*3 - sqrt(2880)))\/(sqrt(44)\/(sqrt(11) + sqrt(88)\/sqrt(8))) - (sqrt(10)\/sqrt(2) + -5 + sqrt(5) - (sqrt(20) + sqrt(5) + -2))*1.\nAnswer: 3 + 73*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxqb when four letters picked without replacement from {q: 1, b: 3, x: 6, m: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 25. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0 + 1\/30*i**5 + 0*i - 8*i**2 + 0*i**4 + 0*i**3. Let x(c) = -3*c. Give x(j(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4027244*r - 436529 with respect to r.\nAnswer: 4027244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11203*z = -4741*z - 180936 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 14*t**2 - 17. Determine g(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p**(8\/9)\/p)\/p)*p)\/p)**(-9) assuming p is positive.\nAnswer: p**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + ((8 - 3) + -34 - (-127 - -109)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 66*c**2 + 195*c - 23. Let z be k(-7). What is the highest common factor of 710 and z?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50217?\nAnswer: 3, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1274099*k**3 + 2*k**2 + 173080*k - 2 wrt k?\nAnswer: -7644594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-66)*(-783)\/(-348)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-5*x**2 + 0*x**2 + 2*x**2) + 4*x**2 + x**2 - 3*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23623 divided by 13\nAnswer: 23623\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgt when three letters picked without replacement from {v: 2, t: 2, g: 2, d: 5, f: 1, e: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1118007 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*(4 - 0). Suppose 7*c = -y*t + 3*c + 16, 2*t + 4 = c. Suppose -2*w + 12 = -t*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1421928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**2. Let o(y) = -67*y**2 - 11181*y + 11181*y. Calculate o(m(c)).\nAnswer: -4288*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h - 32. Let i be y(22). Let p = i + -148. Let v(b) = -2*b - 8. Let o(n) = -2*n - 7. Determine p*v(u) + 5*o(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8137006 to the power of 1\/2, to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 80. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + 0 + -3 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 5, 57881, 2, -2 in increasing order.\nAnswer: -28, -3, -2, 2, 5, 57881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14188 and 42564.\nAnswer: 42564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 84 - 42 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*h - 0*h + 24, -1 = h + j. Let o be -1*202\/(h\/2). Suppose -5*t - 3 = -13, -3*r + 2*t + o = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2048\/3*v**5 - 21056*v**3 - 21168*v**2 + 64827\/2 + 33957\/2*v - 19456\/3*v**4.\nAnswer: -(v - 1)*(8*v + 21)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 - 1292 - (-1 + -19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let m be g(-4). Is 4 - m\/(-1 + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22565 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368, -377, -398, -437, -500, -593?\n\"Answer: -i**3 - 2*i - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 20*t**2 - 22*t - 21. Let y be o(-21). Let z(v) be the first derivative of -1 + 0*v + 2\/3*v**3 + y*v**2. Factor z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 126 + (14 - 62).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((-30)\/14)\/3. Which is the closest to n? (a) 0.3 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306.608 years in millennia?\nAnswer: 1.306608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60351257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 77300?\nAnswer: 77300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (27 + -35 - (1 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 110*b**3 - 703 - 30*b**3 + 548.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -374, -406, -438?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 - -5.4. What is the closest to -5 in 0.2, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(0 - 1 + 0) - 5 - 1 + 2)*(2 - 2 + 2*c)*(0*c - 16*c + 4*c).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.1 (c) 0 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -853702250 rounded to the nearest 1000000?\nAnswer: -854000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8\/((-16)\/402))\/((-15)\/20) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -11*w**5\/60 + 19*w**4\/24 + 8*w**3\/3 + 25*w**2. Let c(o) = -12*o**2 + 18*o + 15. Let b(h) = -2*c(h) + 3*m(h). Factor b(d).\nAnswer: -3*(d - 3)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 8*q**2 + 9*q - 5. Let l be (-10)\/(-6)*(-6)\/(-2). Let v be r(l). List the prime factors of (-63)\/(-5) - (-36)\/v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(7) + (5*sqrt(252) - sqrt(7))))**2 + sqrt(140)\/sqrt(5)*-2*-5.\nAnswer: 20*sqrt(7) + 56699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-485)\/97 + (0 - -67686) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49746 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 106. Let g = 73 - s. Let p = g - -32. Is p < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 12*y + 17. Let l be m(-13). Suppose 12 - l = g. What is the greatest common factor of 36 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 + 124*g - 78078 = 0.\nAnswer: -231, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixixcbcxxxxbi. What is prob of picking 1 i, 1 c, and 2 b?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 110, 165, 238, 335, 462, 625, 830?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636104692?\nAnswer: 2, 1117, 142369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 385 - -130. Let n = 624 - f. Suppose 0 = -2*b - 2*b + 56. Calculate the remainder when n is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -57. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 6:10 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20160.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -141, -142, -143, -144?\n\"Answer: -o - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {e: 17, q: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 2*p**2 - p - p**2 in the form m*p**2 + q + y*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121600301 to the nearest integer?\nAnswer: 11027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2340*z - 84382. Calculate m(36).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 39*g - 34*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than -204.19948?\nAnswer: -190.19948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 = 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -49. Let u = b - 18. What is the least common multiple of 20 and u?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14466977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*u)**(1\/4)\/(u\/u**8*u*u*(u*u**(1\/6))\/u))**37 assuming u is positive.\nAnswer: u**(777\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 - 145. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2727 + -2731. Sort 10, -1, 0.07, g in ascending order.\nAnswer: g, -1, 0.07, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*a + 2*z, -66*a + 65*a + 5*z = -17*z + 105 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*k - 7627 + 7452. Calculate the remainder when 7373 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8344*f**3*r - f**2*r**3 + 45*f**2 + 6409286*f*r**3 - f wrt f?\nAnswer: -50064*f*r - 2*r**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -17\/2, -1 in decreasing order.\nAnswer: -1, -17\/2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.7469 centuries in millennia?\nAnswer: 5.37469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6. Let c = 11 + -6. Let w = c + t. Solve 4*d - w*l = -16, -14 = 5*d - l - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p**2 + 2 - 2*p**2 + 32*p**4 + 5*p**3 + 6*p**2 + 9*p**2 in the form w + y*p**3 + k*p + q*p**4 + v*p**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 3 + 3*q**2 - 7*q + 4 + 2. Let h = -9 + 2. What is the units digit of f(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 837 = 56*i + 13*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/2 - s**2\/2 + 3*s. Let g be n(2). What is the second biggest value in 1\/5, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2873 is divided by 1414?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -139, -4 in increasing order.\nAnswer: -139, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/5 + 672*i**3\/5 - 220902*i**2\/5 - 28955808*i\/5 + 5569985763\/5.\nAnswer: 3*(i - 159)**2*(i + 271)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w + 10*w**2 - 20*w**2 + 9*w**2 - 7. Let s be h(7). Let b(z) = z**2 + 8*z + 4. Give b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 12*w**2 + 2*w + 1. Let d be f(-13). Let r = 99 + d. Let v = -477\/5 - r. Put v, 2\/11, 1, -6 in increasing order.\nAnswer: -6, v, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/21 (b) -0.2 (c) -0.4 (d) 73\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2e?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c + 1 + 5*c - 5*c wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**3 - 5*y**2 + 12*y - 2. Let o(r) = 9*r**3 + 12*r**2 - 25*r + 3. Let i(s) = -6*o(s) - 10*u(s). What is the second derivative of i(w) wrt w?\nAnswer: -24*w - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g**(-5)\/g)\/(g*g\/(g**(-2\/7)*g*g)*g)**31*(g**(-1\/4)*g*g**(2\/7)*g*g)**(-21\/5) assuming g is positive.\nAnswer: g**(-1529\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -1239*b**5\/5 - 271*b**2 + 891. What is the second derivative of a(z) wrt z?\nAnswer: -14868*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 100. Let u be (k\/(-2))\/1*12\/15. Suppose u*q = 11*q - 4. Solve q = -2*r - 0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q - 4. Let a = q + 29. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.278 - 75.908. Let g = -76 - b. Let y = -0.3699991 - g. Round y to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/10*119730\/52.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k + 56 + 7 + 9*k - 6. Give p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50904, 50818, 50674, 50472, 50212, 49894, 49518?\nAnswer: 49084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10*r = 31544. Let d = 177 - r. Let l = 14860 + d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*40\/(-6600)*15\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 19*j - 80. Suppose -12 = -c - j*c. Let u(x) = x**3 + x**2. Let q(l) = 6*l**3 + 2*l**2. What is c*u(b) - q(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -272728961, -545457920, -818186879, -1090915838, -1363644797, -1636373756?\n\"Answer: -272728959*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 757.449 and 409?\nAnswer: 309796.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-28) + (-1791)\/4088. Let o = 2\/73 + r. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73435081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -30. Let p(f) = -f + 22. What is the units digit of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 857\/19 + -12899\/342. Let t = -63221\/6 - -10551. Calculate the common denominator of y and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.481835521 - 5.4818. What is j rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5450.7 + -5464. Let d = -190 + 166.4. Let n = k - d. What is n rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 + 12 + -1 - 164\/41 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 13. Let j = -2 - u. Suppose i + 0*i - 74 = j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -6944*f**3\/3 + 11*f**2\/2 - 339*f - 2359. What is the second derivative of t(p) wrt p?\nAnswer: -13888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:12 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -105*c. Let u(x) = -2 + 8*x + 2. Let y(n) = -3*d(n) - 40*u(n). Is y(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-3 - 253\/(-42)) + -3). Let r be (g\/(-28))\/(1\/(-2)). Is 1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5*h + 10 - 4, 2*h + 2 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4083 - 4085. Sort 6, b, -3, -1, 25 in decreasing order.\nAnswer: 25, 6, -1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-1)\/(-10))\/(2\/45).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1745 + 1745 - 98*t)*(-55*t + 24*t + 29*t - 18).\nAnswer: 196*t**2 + 1764*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9.06. Let i = d + 0.16. Let s = 0.4 - i. Sort s, 0.2, 0.1 in decreasing order.\nAnswer: s, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*y + 273*y = 1098. What is the remainder when 283 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/46455 and -70\/213693.\nAnswer: 1068465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 13*x**3\/3 - 17*x - 8. What is the derivative of n(l) wrt l?\nAnswer: 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l + 10. Let b(j) = 2*j + 2. Let m(k) = k**3 + 103*k**2 + 295*k - 514. Let q be m(-100). What is q*b(x) + 3*n(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3407500 and 1112.896.\nAnswer: 3408612.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {f: 2, n: 5, y: 1, u: 3, c: 4, r: 5}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102200414 - 14121?\nAnswer: 102131243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41118?\nAnswer: 2, 3, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.8 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*l - 18 = 0, 7*l - 2*l = -2*t + 26. What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839575457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59872509 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 * 106\nAnswer: -22.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 15448448?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525014 (base 9) to base 3.\nAnswer: 120212000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5374 from -0.0928.\nAnswer: -5374.0928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i**3 - 4*i**2 - 68*i + 71. Calculate a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 + 1605\/7. Let g = -15 + 15.3. Which is the fourth smallest value? (a) -0.3 (b) s (c) 0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69672 != -69692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9512 >= 9629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -32\/9*q - 77\/9*q**2 - 49\/9*q**3 - 4\/9 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44984, 180113, 405336, 720659, 1126088, 1621629?\nAnswer: 2207288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/85 - 76\/140?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -3\/4 (c) -461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/11 + 18*k\/11 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170806, -168327, -165848?\nAnswer: -163369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 647580824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412523 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*b + 15 = 258*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 4*d**2 + 1 - 3*d**2 - 5*d**2 - 6*d. Determine l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124889 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:17 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -69.3*72.984\nAnswer: -5057.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {j: 1, b: 1, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:07 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70\/439? (a) 26 (b) -6 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 7*o + 6. Let q be g(7). Suppose -w = -0*w + q*w. Solve w*s - 2*s - 24 = 4*l, 0 = 3*s + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {a: 6, j: 1, i: 2, h: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2061 - 1307 = 75*o + 1301 - 6094 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.2, 2\/5, 3, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35 + 800539936.\nAnswer: 800539935.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 4*a - 6*a)*(-11 - 46 - 6) + 5*a - 3*a + 2*a in the form x*a + j and give x.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthppvpvhpppppvvhvp. What is prob of picking 3 h?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:47 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + 7. Suppose 5*o + 200 = 4*j, 5*o + 22 - 2 = 0. Let k = j + -51. Let c(b) = b**2 + 1. Calculate k*c(g) + m(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -390\/206591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 814, 816, 816, 814, 810, 804, 796?\n\"Answer: -i**2 + 5*i + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/12)\/(2\/(-18)). Sort 6, -2\/9, 2, h.\nAnswer: -2\/9, h, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 481 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/13))**(-1))**(1\/4) assuming y is positive.\nAnswer: y**(-15\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22356\/567*(-8)\/3 - (-2)\/14.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/6 + 23*f**3\/2 - 39*f**2. Let k be h(-16). Solve -5*s - a = -s - 3, 3*a + k = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(9\/4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) -1 (b) -5 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 3466 = 3691. Solve 0 = d + 2*q - 7*q + s, -5*q + 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 6*y - 29 = y, 4*c - 5*y = -8. Suppose -c*g + 5*g + 6 = 0. Let d = 386 - 386. Put d, -4, g, -2 in decreasing order.\nAnswer: d, -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1027080 and 527.\nAnswer: 541271160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 904, 626, 288, -110, -568?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -85\/2. What is the nearest to -2 in -0.1, q, 0.0216?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/27 and -3 + 13 + (-409184)\/40320.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*c**3*i*n - 50*c**3 + 3981*i*n - 73*n wrt i?\nAnswer: 10*c**3*n + 3981*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1232102 - 6610?\nAnswer: -1242012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*a**3 + 69652*a - 136485*a + 68034*a.\nAnswer: 7*a**3 + 1201*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138671977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put 63, 5, -4 in increasing order.\nAnswer: -4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -338299 (base 15) to base 16\nAnswer: -257ffa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -36*10\/16*4. Find the common denominator of -5*1*w\/110 and 3\/((-66)\/(-104)) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5672, 5737, 5848, 6005, 6208, 6457?\n\"Answer: 23*t**2 - 4*t + 5653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4, 0, -5 in descending order.\nAnswer: 2\/3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3 + 320*r**2 + 3 - 318*r**2. Let h(y) = 4 - 7 + 1 - 5 - 3*y. What is q(h(m))?\nAnswer: 18*m**2 + 84*m + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*a - 1 = -13, 3*m = 3*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 t when three letters picked without replacement from {a: 3, h: 3, w: 1, t: 2, d: 5, l: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-16)\/(-320))\/(8\/(-185)) and 71\/80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3905 and 402996.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 p when three letters picked without replacement from nnwzuphh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.93 - 9.93. Which is bigger: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/9 - 10*l**3\/9 + 14*l**2\/3 - 46*l\/9 + 16\/9 = 0. Calculate l.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**5 - 11*s**5 + 30*s**5 + (4 - 4 + 2*s**5)*(3 + 3 - 4) + 0*s**5 + 0*s**5 + s**5 + 3*s**5 + 4*s**5 - 6*s**5)*(-10 + 4 + 18)*(-1 + 2 - 2).\nAnswer: -384*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 97*a**3 + 71584*a**2 - 1471*a + 3683. Give l(-738).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/(-4)*6\/3. Let n = w - 10. What is the smallest common multiple of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/3, -2, -3, 2\/9, 4.\nAnswer: -3, -2, 2\/9, 4, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 4*c + 8. Let b be a(6). Let m = 1\/21 - -521\/84. Find the common denominator of ((-1)\/(-3))\/(b\/(-2037)) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2. Let m(g) = 3*g - 11*g - g. Give c(m(t)).\nAnswer: -243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233657 is divided by 2715?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13287)\/(-5253))\/(22\/1122).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 37\/5, 2\/13, 1039?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4 + 627*z**3\/2 + 945*z**2\/2 = 0. Calculate z.\nAnswer: -3\/2, 0, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207027 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3 + 2*x - 3*x - x + 4*x. Let c(l) = 2*l - 3. Calculate -3*c(j) + 4*i(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 27. Suppose -o*d - 62788 = -4*g, -d + 0*g = 3*g + 31409. What is d rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20290 + -20286. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) 0.3 (d) y (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18402 and 18402.\nAnswer: 18402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 17 - 35 = 0. What is the biggest value in 3, 2\/17, p, 52, -2\/9?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:06 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 19*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2622 + -f?\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -183\/908065 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144) - sqrt(144) - sqrt(36)\/(4*sqrt(9)))\/(-5*-3*(sqrt(162)*-3 + sqrt(162) + sqrt(162))))**2.\nAnswer: 9409\/145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34\/66 + (2670\/90 - 30)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/13 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3685*c**3 - 60*c - 3737. Let h(o) = -7371*o**3 + 110*o + 7474. Let q(s) = -6*h(s) - 11*l(s). What is the derivative of q(x) wrt x?\nAnswer: 11073*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.125872cm in millimeters?\nAnswer: 41.25872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 11*n - 12. Let o = 225 + -227. Let w(j) = -j + 1. Calculate o*r(f) - 22*w(f).\nAnswer: 2*f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*a**3 + 0*a - 9*a + 27*a**3 + (-3*a**3 + 3*a**3 - a**3)*(-1 + 4 - 4) + 2*a**3 - 2*a**3 + a**3.\nAnswer: a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/14 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1634084769 to the nearest 1000000.\nAnswer: 1634000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, d: 2, s: 2, u: 1}. Give prob of sequence lu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 30. Let l be 246842\/80 - (-4)\/h. Let w = l + -3091. Calculate the common denominator of w and 75\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106964516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1202 (base 3) to base 12\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7708.195 litres?\nAnswer: 7708195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 319*y - 14938. What is p(57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 4*w + w**2 - 3 + 5 - 9 - 9. Let k be u(-10). Calculate the greatest common factor of k and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1231680 - -28320. Round w to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Suppose v = 6*p - 7*p + 12. Calculate the highest common divisor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/60*w**5 + 1\/3*w**3 + 6*w**2 + 0*w - 1\/6*w**4 + 0. Let b = -10 - -5. What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 - -1?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 39 = 5*l + 26, l - 4*q = 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away -4370.95?\nAnswer: 4371.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 940*r - 6737. Give q(8).\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:09 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5411948549 to the nearest integer?\nAnswer: 73566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1663061 millilitres to litres.\nAnswer: 0.0001663061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 1) + -2 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/4, -8\/21, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -860459\/28 - -30734. What is the common denominator of 34\/133 and f?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2573\/166*(8 - 10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.07 - 0.93. Sort r, 0.4, -0.05.\nAnswer: r, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnaannnnann?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*y - 78 = 0, 4*t = -27*y + 22*y + 46. Let m be (6880\/(-602))\/((-2)\/t). What is the highest common factor of m and 300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 + 6*z + 9. Let t be f(-8). Suppose -25 = 4*g - 5*d, g - 3*d - 2*d = -t. Suppose -4*p - 16 = g, l = -3*l - 5*p + 116. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 0)*(0 - 4 - 2) + (124 - 124 - 18*t)*(3 - 4 + 2).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*w + 3271 = -104 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/197, 3, 2, 121, -5, -0.2?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4978 + 3864 - 877 = 27*i. What is the smallest value in -0.2, i, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -831 (base 16) in base 12?\nAnswer: -1269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 2)*(2 - 2 + 2) + 0 - 2 + 4)*(3 - p - 3).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 73674.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/60)\/1 + (1 - 11\/3). Let n(b) = -b**3 + 6*b**2 - 4*b. Let m be n(5). Sort 2, h, m in ascending order.\nAnswer: h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -415656\nAnswer: 41565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 6. Let l = 10 - -297. Let c = 2761\/9 - l. Put t, c, -1 in decreasing order.\nAnswer: c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**8\/840 - q**7\/84 + 7*q**6\/180 - q**5\/20 + 10*q**3\/3 + 4. Let c(a) be the third derivative of d(a). Factor c(h).\nAnswer: 2*h*(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 3*n + 13. Let b = 256 + -240. What is the hundreds digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 510 + 49*v**2 - 506 + v + 33*v**2 + 3*v**2 - 2*v**2 + 0*v**2 + (0*v**2 - v**2 - v**2)*(-3 + 4 - 2) - v**2 + 0*v**2 - v**2 + 2*v**2 + 3*v - 3*v.\nAnswer: 85*v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a + 1. Let y(p) = -2332*p**2. Calculate g(y(r)).\nAnswer: -34980*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2061 + -1134. What is the second derivative of 927*q**3 + 9*q**4 + 34*q - u*q**3 wrt q?\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 6 - 5 + 3*g**2 - g**2. Let m be f(0). Let r(j) = -j**2 - 13*j - 2. What is the units digit of r(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3\/2*(-80)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 42 = -4*j, -y + 5*y = 4*j - 36. Let z = 1 - 1. Solve z*d = -3*d - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*p - 832, 0 = -4*p + 8*q - 6*q + 832. Let m = -208 + p. Solve -s - 5*i + 14 = m, 2*i - 3 - 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 174 = -8*f. Let r be 16\/(-56) + f\/(-7). Solve x = -x + r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 54 = 6*i. Let n(p) = p**2 - 3*p - 1. Let g be n(4). Suppose g*o + 15 = i. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 6*z**2 - 3*z - 4. Let t = -25 + 15. Let a be 6\/4*t\/(-3). Let w be r(a). Solve -m + 12 = -4*b, w*m - m - 28 = 4*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*(72\/32)\/(-3) + 0 + -4. Sort -16, -1, 16, m in increasing order.\nAnswer: -16, -1, m, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17176518.6 and -113?\nAnswer: 17176405.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12072779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/20 - q**3\/6 + q. Let x be a(-3). Let m = x + 35. Calculate the greatest common factor of 110 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005131 to six decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -0.04, 1, -0.1, 12, 109.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11561.\nAnswer: 11, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(24) - sqrt(96)\/sqrt(4)))\/sqrt(2)*-5)\/((sqrt(864) + sqrt(864)*-1)*2 - (sqrt(864) - sqrt(864)*-2)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22967163 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1515 and 10177467.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:30 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-6)*(-4)\/(32\/(-12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 17. Suppose -7 - 65 = -18*d. Let g(x) = -21*x - 18 - d - 16 + 5. Let r(p) = -7*a(p) + 4*g(p). Differentiate r(q) wrt q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3\/2 + 33*i**2 - 303*i\/2 + 120 = 0. What is i?\nAnswer: 1, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1241*y**2 - y - 1. Let u(q) = -3*q**2 + 2*q + 1. What is -k(r) - u(r)?\nAnswer: -1238*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886038 is divided by 3356?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/3 + 640*p - 7664\/3 = 0. What is p?\nAnswer: 4, 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 831180 and 3090?\nAnswer: 85611540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - 4*sqrt(143)*-3)\/(sqrt(11) + (sqrt(396) - sqrt(11))*-3) + 3.\nAnswer: -13*sqrt(13)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + ((-3 + sqrt(12)\/sqrt(4) + -5 + 3*sqrt(15)\/sqrt(5)*-4)*5)**2.\nAnswer: 4400*sqrt(3) + 10668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 6*i**2 - 60*i + 463. What are the prime factors of p(17)?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 + -133?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 4 - -2) + -2 + (-5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Sort 7, 0.2, -741, -653 in decreasing order.\nAnswer: 7, 0.2, -653, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = -21*r + 68. Sort r, 1\/8, 9.\nAnswer: 1\/8, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -5 (c) -30 (d) 5 (e) -2 (f) -4 (g) -20\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = 3*j + 25, -1 = j - 2*q. Let b = j - 0. Sort -4, 0, b in decreasing order.\nAnswer: 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003284524 rounded to six decimal places?\nAnswer: -0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esz when three letters picked without replacement from weeeseeeezzeez.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 20. Let d be s(-8). Suppose 0*n = 4*f - d*n - 2200, -4*n = 5*f - 2723. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2371250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3086 and 26911463?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 3. Let y(q) = -q**3 - 9*q**2 - 9*q - 8. Let b be y(-8). Let z be r(b). Let f(l) = 3*l**2 + 3*l + 2. Is 20 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 13*h**2 - 31*h - 30. What is c(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 21*o - 139. Give l(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 1, w: 4, f: 2, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27193*d**3*w + 27*d**3 - 2*d**2 - 16*d*w + 2501*d + 6 wrt d?\nAnswer: -163158*w + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8509, -17057, -25605, -34153, -42701?\nAnswer: -51249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003963 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 118*g**2 + 102*g - 15065. What is b(-116)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/144 - (-26)\/(-88)) + (-708)\/33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (0 - 8\/20). Which is the second smallest value? (a) -2\/9 (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(26)\/sqrt(2) + 3 + (-4*((sqrt(78)*1)\/sqrt(6) + sqrt(13)))**2.\nAnswer: sqrt(13) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 111 + 19?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -44. Sort -4, k, -9.\nAnswer: -9, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7270.\nAnswer: 2, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24d08 (base 15) to base 13.\nAnswer: -41747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3725.9 - -95.1. Let x = u + -3821.01581. What is x rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -536027?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.83\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/3 - 8*j - 40\/3 = 0?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -12*q - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -1241, -1181, -1135, -1109?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -53 + 7 + 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 4*x - 5. Let a(c) be the first derivative of -5\/2*c**2 + 30 + 6*c + 2\/3*c**3. What is -3*a(r) - 4*v(r)?\nAnswer: 2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 + 0.6\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2662 = -3*o + 2*f, -24*f + 3547 = 4*o - 29*f. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.4 (c) -1.12 (d) -11638\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 13*z - 19. Let m be (z\/2)\/((-30)\/(-180)). Solve 5*g + 3 = -m*h, -g + 17 = 3*h + 2*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, -4, -2, 2, 4.\nAnswer: -77, -4, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r = -1938, 4*r - 363 - 794 = 3*x. Let k = 401 + x. Calculate the remainder when 124 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-48) - (1406211\/(-12) - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -49. Let u = -627 + 623. Let w be 1 + 0 + (-4)\/3. Which is the third smallest value? (a) w (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.309 + 620\nAnswer: 616.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470*i + 1640*i - 2210 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236, 197, 160, 125?\n\"Answer: v**2 - 42*v + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2838499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -1\/45 (d) -3 (e) 146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**2 - 28613982*y - 512651554.\nAnswer: -4*y - 28613982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 j when three letters picked without replacement from ggmjjmggggmg?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 257730435 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = -0*s. Let v = s + -1. What is the units digit of (-20)\/(-9) - v\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11088 by -11.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 50. Calculate the least common multiple of 24 and a(-19).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 607*u + 6. Let l(s) = -605*s - 4. What is 6*l(c) + 5*z(c)?\nAnswer: -595*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17332 - -11179. Suppose -28526 = -12*f + 8*f + 2*x, -4*f = 3*x - m. Suppose f = 4*n + 6*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1570 = 3*z + 556. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.26 * -36.79\nAnswer: -119.9354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 23*h**4 - 11*h**3 - h**2 + 50 - 57 + 22*h**4 in the form g*h**4 + w*h + m + a*h**2 + j*h**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -1101111111?\nAnswer: 1111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2043 + -520344?\nAnswer: -522431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 78, 143, 228, 339, 482, 663, 888?\n\"Answer: u**3 + u**2 + 41*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 296. Let a = 235 + w. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -49. Suppose -17*c + 13*c = g. Suppose 3*o + 1 = 13, c = 2*t - o - 66. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226 plus 0.014334?\nAnswer: -1225.985666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 6 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/5)*m*(m*m*m\/(m**(2\/7)*m))\/m*m)\/((m*m**3*m*m)\/m*m*m*m*m**(-2\/9)))**37 assuming m is positive.\nAnswer: m**(-49691\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 28*f - 48.\nAnswer: -4*(f + 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*r - 1 - 4 + 1 + 1.\nAnswer: 125*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 9*l - 12. Let b be 11\/44 - 23\/(-4). What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(39*x**2 - 7*x**2 + 70*x**2)*(0 + 1 + 0).\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -73*g - 18. Let j(h) = 6*h. What is j(x(o))?\nAnswer: -438*o - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g\/g**1))\/g)\/g**(-2\/15))\/(g*g**1)**5)**(-6) assuming g is positive.\nAnswer: g**(326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 1264.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - x**3 - 3*x**3)*(0*x - 2*x + 4*x) + 2*x**4 + 3 - 3 + 3*x**4 - 15*x**3 + 15*x**3 + (-5*x + 2*x + 2*x)*(-x**3 - 2*x**3 + 2*x**3).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 - 12*n**3 + 16*n**3 + 29*n**2 - 6*n**3 + n**3.\nAnswer: -n**3 + 29*n**2 - 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 9*l**2 + 2 + l + 0 - 4*l**2. Calculate n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -1 (c) 3\/5 (d) -0.83 (e) 2259\/8 (f) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 9:08 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*g = -3, 0 = 3*q + 3*g - 6456 + 6477 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156743 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 149 = 119. Let n be -9 - -8 - ((-6)\/(-4) - 2). What is the closest to n in v, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3785 times 2.3516\nAnswer: 8900.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b + 11. Let q be s(-13). Let t = -130 - q. Solve -t*j = 2 + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11403159?\nAnswer: 3, 3801053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -20\/3*q + 2\/27*q**3 + 13\/9*q**2 + 11. Factor d(j).\nAnswer: 2*(j - 2)*(j + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 120?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (10 + (-3 + 8 - 7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, q: 4, z: 4}. Give prob of picking 3 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-8)\/4 + -1. Suppose -8*d = -x*d - 176. Calculate the remainder when d is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 12 in ascending order.\nAnswer: -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.4, -1\/6, -23442, 1\/2, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -9*d - 4*x, -4*x + 36 = -d. Let g = -15.73 - 0.27. Which is bigger: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u + 336 = 9*u + u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -202210 (base 4) in base 7?\nAnswer: -6310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 446*f + 14637. What is o(-33)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2306656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*i + 12, 4*i + 12 = -k + 32. Suppose 8 + 0 = i*s. Calculate the least common multiple of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21021 (base 3) to base 8\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/6780 - 2501911\/88140. Let w = g + 4462\/143. Calculate the common denominator of w and 107\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21652666 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9616935 decades?\nAnswer: 115.40322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Let l be (-15)\/(-10)*8\/i. Suppose -l*a + 56 = 26. What is the highest common divisor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 66486139\nAnswer: -265944556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -121176048 divided by 4\nAnswer: -30294012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 22 - 16) + -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - (sqrt(1400)\/sqrt(7) - sqrt(8)))\/(sqrt(18)*-1 - sqrt(2)))\/(sqrt(98) + -1*sqrt(98)*-3 - -4*((sqrt(98) - -2*sqrt(98)) + sqrt(98))).\nAnswer: 3*sqrt(2)\/560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4\/3, 47, -2.4 in descending order.\nAnswer: 47, 3\/4, -4\/3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) + -1*sqrt(121))*1 + sqrt(121)))\/(3*sqrt(1100)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 376, 374, 370, 364, 356, 346, 334?\n\"Answer: -t**2 + t + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 2\/5 (c) -2\/7 (d) 0.1873 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 92. Let d = z + -20. What is the greatest common divisor of 65 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5801 + -5800.5. Let q be -12*3\/(18\/(-4)). Let g be 2\/q + 15\/4. What is the second smallest value in g, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*k**2 + 2*k**3 + 103*k**2 + 6)*(4 - 3*k - 4 - 2*k + 2*k + k - 5*k + k + 3*k + (3*k + 0*k - 2*k)*(-3 + 6 - 4)).\nAnswer: -8*k**4 - 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9305*5\nAnswer: 46525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -9*c - 8*c. Calculate the lowest common multiple of 14 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-4)\/(-6) - -1962. Calculate the greatest common divisor of y and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129149 is divided by 7173.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/4 + 1)\/((-79)\/(-158)). What is the highest common factor of j and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 22 + 183 = 0. Let r = u - -380. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/9))\/(l**(2\/13)\/l)*(l**(2\/7))**(-43)*(((l\/(l\/(l\/(l\/(l\/((l\/l**(-2))\/l))))))\/l)**(-1\/13))**28 assuming l is positive.\nAnswer: l**(-4931\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -733155 divided by -111?\nAnswer: 6605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28598 and 10586.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/60*w**6 - 7*w + 1\/20*w**5 - 1\/84*w**7 + 0 + 1\/12*w**4 - 1\/12*w**3 - 1\/4*w**2. Suppose o(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/9 - 2*x**2\/9 + 4*x\/9 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 245231826 + 5?\nAnswer: 245231832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 343 + -198. Let r be 30\/(-12) - w\/(-50). Which is the third biggest value? (a) 0 (b) 1\/4 (c) 1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291078863 is divided by 97026273?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193 = 2*v - 7349. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*i + 156 = 418*i - 36*n, 0 = 4*i - 5*n - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*i = 2*d + 336*i - 28, -2*i + 3 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 11 (c) -20 (d) -3 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234865*a*n**3 + 2*a*n**2 - a*n - 30010*a + 2*n**2 wrt n.\nAnswer: -1409190*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/100 - v**4\/12 + 11*v**3\/10 - 27*v**2\/10 - 1421*v. What is p in z(p) = 0?\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 80*r**2 + r**3 + r**4 - 79*r**2 - 2 in the form u*r**2 + y*r**4 + a*r**3 + i + m*r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 9*w + 4. Suppose 4*m - 16 = 2*m. Let h be l(m). Solve s + 16 = 3*t, -s = 2*t - 3*s - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/12, -1\/49.\nAnswer: -1\/2, -1\/49, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5444522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:20 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 2 v when four letters picked without replacement from yvvvtrbvyr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*l - 6, -2*o + 44 = 3*l + 48 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z + 5047 = 431*z + 390*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.52961 hours to microseconds.\nAnswer: 264706596000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -101*v + 54022. Let k(m) = -37*m. Determine k(f(l)).\nAnswer: 3737*l - 1998814","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 36835 + 21517 - 9749. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 5*k - 7. Let g be j(-4). Let n(f) be the first derivative of -f**3\/3 - 2*f**2 - 2*f - 7. What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 0*i**4 + 0*i**4 - 3*i**4 - i**4 + 6*i**4 + (3*i + 2*i - 6*i)*(-2*i**3 - 2*i**3 + 3*i**3) - i**2 + i**2 + i**4 - 3*i**4 + 4*i**4 - 2*i**4.\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -8 + 3)*1\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*z + 3828, -5*z - 3*o = -7*z - 1908. What are the prime factors of 135*1*z\/(-144)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 28*h**2 + 28. Let a(l) = 2*l**2 + 1. Let q(d) = 28*a(d) - o(d). Let y(m) = 5*m**2. Give y(q(n)).\nAnswer: 3920*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:09 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 229569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let m(c) = -66*c**2 + 10. Give m(h(i)).\nAnswer: -66*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7141 - 6.5141. Let w(m) = m**2 - 6*m + 6. Let i be w(5). Let q be (1 - (-1)\/1)*i. Put q, r, -2\/5 in descending order.\nAnswer: q, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99382 - 51011. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2.017 (b) -0.21 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 16897 + 15772 = 0. Suppose 5*m - r + 1507 = 0. Suppose 312 = 2*v - 4*j, 4*v - 8*j - m = -4*j. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w - 68*w = -3*d - 5, 3*d + 20 = -w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12*n**2 + 15*n - 16. Let h be k(1). Let s(g) = 6*g - 12 - 10 + h. Determine s(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1641 and -53\/7?\nAnswer: 11487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - 28 = 2*g, -4*g - 8 = 0. Let s(b) = -b**2 - 6*b. Calculate s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7918759 is divided by 8750.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 3*g**3 - g + (-1 + g + 1)*(-5*g + 4*g**2 + 5*g) + (0*g - 2*g + 0*g)*(-2*g - 1 - 3 + 5)*(123 + 5*g - 123) as q*g**3 + t*g + s*g**2 + d and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 2*u, 8*u + 4*l - 4 = 6*u. Solve -2*q = -3*m + 9, u*m - 11 = 3*q + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3 - 4. Let z = 3 - n. Let p = -20866 + 20876. Solve z*i + 4*o - 24 = 0, -5*o = -5*i - 0*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 - (2 + 0) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 117.3.\nAnswer: 120.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11903\/932 - 5\/233. What is the common denominator of t and -17\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 473*q + 3895. Give p(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 5010885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*s = -8, 13*n = 15*n + 5*s - 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 1)*(-2)\/4. What is the third derivative of -11*j**2 + 2*j**3 - 4*j**3 + 4*j**f - 5*j**3 wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703677936?\nAnswer: 2, 3, 13, 563, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m + 31*m**2 - 8*m - 18*m**2 + 2*m**3 to d + u*m**3 + x*m**2 + z*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*v**2 + 1\/6*v + 1\/3*v**4 - 1\/6*v**5 + 0*v**3 + 0 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*y - u - 26 = -131*y, 3*y - 17*u = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -0.5 (c) -0.2 (d) -7.296 (e) -1347\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydaaytxatbxx. Give prob of sequence ttx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6568 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28626, -28142, -27336, -26208, -24758?\n\"Answer: 161*h**2 + h - 28788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222548 is divided by 433?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6\/(k**48*k))\/(k*k**(-32))**(-8\/3))**24 assuming k is positive.\nAnswer: k**(-3016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 11. Let h be s(-4). Is 262\/h + (5 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - (-30)\/72. Let a = 0.4 - -3.6. What is the closest to b in a, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/3 - 217645*g**2\/3 + 2904600*g.\nAnswer: -5*g*(g - 40)*(g + 43569)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-8) + 2)*18224\/(-23919)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24496, 49105, 73706, 98293, 122860, 147401, 171910?\nAnswer: 196381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1\/(-1) + 10. Let y = n - 5. Suppose y*h - 36 = -z, h + 44 = 4*z - 83. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.13, 540551?\nAnswer: 540551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:17 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 857 + -287. Let k be ((-2)\/4)\/(y\/144 + -4). What is the highest common factor of 108 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*b + 6 = -10, -15 = 5*b. Suppose 0 = -3*k - 0*j - 2*j + 5, 0 = -3*k - 3*j + 6. Let a be (2 - -1)\/(-9) + k. Put a, 1\/3, u in decreasing order.\nAnswer: a, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317*v - 5688 + 871 = 17109 + 21195 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.4, 4, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 361.7784 to one decimal place.\nAnswer: 361.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*v + 99*v - 200 = 0. Which is the smallest value? (a) v (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80543\/26124 - -1\/4354. Let z be ((-2568)\/33200)\/(36\/(-2110)). Let u = -29\/249 - z. What is the common denominator of j and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a93 (base 14) to base 6.\nAnswer: -13401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9)*(2448\/1700)\/(6\/(-20)). Let o(u) be the first derivative of -1\/25*u**5 - 24 - x*u**3 + 0*u + 0*u**2 + 2\/5*u**4. Factor o(p).\nAnswer: -p**2*(p - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h = -2*h + 32 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + a = -133, -9*m + 4*a - 216 = -12*m. Solve -5 = m*i - 63*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 8.94. Let l = 4 + 3. Let t = v + l. Which is the biggest value? (a) -2\/7 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3215075 divided by 9.\nAnswer: -3215075\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130045\/849068 - 3\/23?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p + 3\/5*p**2 - 8\/5 = 0. What is p?\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1.23, 10\/11 in decreasing order.\nAnswer: 10\/11, 0.4, -1.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 239467.02 months?\nAnswer: 19.955585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4331*i = -4343*i - 72 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 5*v**3 + 106*v - 106*v.\nAnswer: 5*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-60))\/(-42*(-6)\/5355)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1466, 1474, 1494, 1532, 1594?\n\"Answer: q**3 + q + 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b - 118*b + 2*b**3 + 0*b**4 + 2 - 2*b**4 + 26*b to a + t*b**4 + i*b + u*b**3 + d*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267185587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1408 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {c: 2, t: 10, z: 1, l: 6, o: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/45)\/11*(-10)\/4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 3, -4*l + 5 = -8*l + 5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 15, u: 3}. Give prob of sequence uu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328132274 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*f + 113 = 0, -3*f + 37 = y - 5*f. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -7*o + 41432. Which is smaller: o or 5933?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:43 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41222.5 - 30\nAnswer: 41192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 + i - 7. Let y be s(-3). Let o be y + -1 + (-22)\/11. Is 2 - (o - (-3 - -4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.3 - 4.3. Sort 3, l, -0.3 in ascending order.\nAnswer: -0.3, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7999 = -355. Let m = -1739 + w. Suppose m = 14*c + 193. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/10*(91\/(-14) + -1). Let s(v) = -3*v - v + 5 - 3*v - v**2. Calculate s(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3936\/14 + 5\/(-35). Let g = -281 + c. Factor g + 1\/3*f**5 + 1\/3*f**3 - f**2 + f**4 - 2\/3*f.\nAnswer: f*(f - 1)*(f + 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*o - 341*o + 173*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 4*f - 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20330890 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l - 0 + 66 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.57 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k = 71*k - 4*v, 0 = -k - 2*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 530, 3\/4, -235, 0.3, 2, 0.2 in descending order.\nAnswer: 530, 2, 3\/4, 0.3, 0.2, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-134)\/1005*3\/13*15\/(-6)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43730.5008 times -0.4?\nAnswer: 17492.20032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/(-15))\/((-2)\/(-5)). Solve -2*g - q = -a, 0 = -g - 2*q + 3 + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 3*m + 69. Let f(s) = -s**2 - s - 1. Let n = 108 + -103. Let j(v) = n*f(v) - u(v). What is the derivative of j(h) wrt h?\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-1)\/1*2. Suppose t = -2*y + 3*y - 1. Solve -b + 4 = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 j, and 1 n when four letters picked without replacement from {j: 2, n: 6, e: 8, w: 1, b: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 58. Calculate the highest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 189*g + 161. Let j(w) = 19*w + 16. Let p(s) = 2*i(s) - 21*j(s). Differentiate p(n) with respect to n.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 3\/2 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 8 - (2 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*n - 8 = 0, n + 1 + 8 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3) + -2 + -1. Let s = -86.62 - -86.52. Which is the nearest to -2? (a) g (b) s (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**4\/8 - 25*x**3\/3 + 15*x**2. Let p be a(20). Find the second derivative of -p*c - 3*c**5 + 4*c**5 - 6*c**5 wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 175.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -181. Let l = 0 + 3. Suppose l*v - o = 87. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39487364 by -4.\nAnswer: 9871841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 123 = -59 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 360\/7*p + 2592\/7 - 64\/7*p**2 + 2\/7*p**3 = 0.\nAnswer: -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1317*m**3 + 4*m**2 - 2*m - 4. What are the prime factors of b(-1)?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*k**4*u**3 + 3*k**4*u - 1077*k**4 - 18*k**2 - k*u**3 - 2*k + 1320*u**3 wrt k?\nAnswer: 888*k*u**3 + 72*k*u - 25848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19694075 is divided by 44.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 81163365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026*-10058.\nAnswer: -10319508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1590*x. Let p(t) = 2*t + 7. Let o(k) = 47*k + 161. Let w(b) = 2*o(b) - 46*p(b). Determine a(w(q)).\nAnswer: -3180*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1650851, -1650848, -1650845, -1650842?\nAnswer: -1650839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/92)\/(6\/(-16)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4620 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 18, z: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 20*f - 16.\nAnswer: -4*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 6) in base 5?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {k: 5, d: 15}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2. Let t(c) = -4680*c. What is w(t(h))?\nAnswer: 65707200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 26*o - 788. Determine b(19).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*r - 191*r + 59*r + 136922 = 0. What is the remainder when r is divided by 147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 1411565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (221\/(-3) - 1)\/(7\/(-147)). Suppose y + 3*w = z, -y + 3*w - 414 + 2012 = 0. What are the prime factors of y?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.8 + 22.62. Let t = 2.7 - p. Let f = t + 0.22. Is f less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 4881470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82266372 divided by 922?\nAnswer: 89226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-18) - (-2)\/(-4). Let w = -31 + 26.6. Let v = w + 4. What is the second smallest value in v, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5451327.\nAnswer: -4\/5451327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 1404, 2109, 2814?\nAnswer: 3519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -13.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 - f + 43. Is 8 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/8*(24 - ((-608)\/475)\/((-68)\/850)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1792 and 57\/332416.\nAnswer: 664832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d = -5*d + 58140. Is d a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220930 divided by -32?\nAnswer: 110465\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 + 7*h**2 - 3*h - 5. Let m be 1*8 + 0 - (-44 + 47). Let s(c) = 4*c**3 - c**2 + 6 + 4*c - 7*c**2 + 0*c. Determine m*s(d) + 6*j(d).\nAnswer: 2*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) 6 (c) -0.1 (d) 0.065\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267083?\nAnswer: 19, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 936.\nAnswer: 1\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 7*u - 6. Let t be y(-5). Suppose t*f + f = 0. What is the third smallest value in f, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 174?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, -0.5, -27?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/3 - f**3\/3 + 9*f**2 + 27*f + 18.\nAnswer: -(f - 6)*(f + 1)*(f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.383 (b) 285 (c) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1232 and 1078.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/15)\/(6\/15). Put g, -5, 5 in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -13113033225?\nAnswer: 13113033213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-461)\/((-3094693)\/1096))\/((-4)\/(-7))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 13. Let h(u) = 3*u - 20. Let n(z) = 5*h(z) - 8*t(z). Let g be n(4). Solve g*j + j - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 12. Calculate the remainder when 46 is divided by j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/60 - 31*y**4\/24 - 17*y**3\/3 - 7*y + 2. Let j(m) be the second derivative of z(m). Determine j(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c8b (base 13) to base 9\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let r = 0.74 + 1055.26. Let b = r + -1053. What is the nearest to h in b, -2\/9, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198092 + 398847. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(192) - sqrt(12))\/(sqrt(256) + (sqrt(256) + sqrt(256)*1 + sqrt(256) + sqrt(256) + sqrt(256) - sqrt(256)) + sqrt(4)).\nAnswer: 9*sqrt(3)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10376*p**2 + 117*p + 844. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-6)*(-4)\/48. What is the second smallest value in -3, -16, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 18*z**2 - 16*z + 17. What is the tens digit of u(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {s: 12, c: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5430577\/93 - 58394. Calculate the common denominator of (-8)\/(-28) + 58\/42 and z.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m + 4*a = 32*m - 1, -2*a - 46 = -4*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)\/r**(-4\/3) assuming r is positive.\nAnswer: r**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 13*d**3\/6 + 65*d**2 + 17*d - 1. Let l be s(-10). Let x be 7\/(-9) + 16\/(-72). Put x, -47, l in descending order.\nAnswer: l, x, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181146023.\nAnswer: 10589, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y**2 - 12*y - 15. Let k be 1\/(-2)*(-4 - 16). Is s(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(45\/(-59) - -1). Let p = -5791\/354 - o. Is p > -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216684.39 - 4?\nAnswer: 2216680.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -228, -349, -470, -591?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 1082*b\/7 - 937492.\nAnswer: 2*(b - 2102)*(b + 1561)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + y + 3. Let h be (10 - (-1141)\/(-105)) + (-4)\/30. Let f(o) = o**2 + o + 1. What is h*a(l) + f(l)?\nAnswer: 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 307 + 3942. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 + (-5)\/(-20) + -2. Is b at most 1\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279278579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -19*z**4 + 6*z**3 - 6*z**2 - 4*z. Let a(p) = p**4 - p**3 + p**2 + p. Let s(o) = -6*a(o) - f(o). Find the second derivative of s(j) wrt j.\nAnswer: 156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let m = b + -5. What is the closest to m in -0.4, 2\/13, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**8*d)*d)\/d)\/d**(-2))\/(d*(d*d*d**(-1\/6))\/d*d*d**3) assuming d is positive.\nAnswer: d**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let k(h) = 3*h**2 - 35*h + 53. Let o be k(10). Let q(y) be the first derivative of 0*y - 2\/3*y**o - 6 + 0*y**2. Calculate r(q(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4234, 8483, 12732, 16981?\n\"Answer: 4249*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 28 - 9*v - 13 + 88 - 88 - 80*v + (0 + 3 - 5)*(4 - 4 - 2*v) - 2 + 2 - 2*v + 4*v + 3*v - 6*v in the form x + t*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58416*y**2 - 25012*y + 2?\nAnswer: -116832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*s**2 - 14*s - 1222 wrt s?\nAnswer: 34*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -126.1 times 75627\nAnswer: -9536564.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -13?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -30\/7*y**3 - 14*y + 0 + 2\/7*y**4 + 18*y**2 = 0. What is y?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-1*sqrt(2200) + sqrt(2200))\/sqrt(2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145503 (base 7) in base 12?\nAnswer: 14506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 3, -17, 2\/7 in decreasing order.\nAnswer: 3, 8\/3, 2\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d**3 + 270*d**2 - 766*d**2 + 257*d**2 + 252*d**2.\nAnswer: -d**3 + 13*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 12*i**2 + 37*i**2.\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u - 65*u + 4*v + 24 = 0, -5*u - 4*v + 21 = 0. Solve -4*i = -3 - 9, -u*w = 2*i + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2161 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*i - 980, -8*i + 3*i - 3*j + 980 = 0. Does 221 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2302\/6906*45\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 10, -h + 123 + 116 = -3*d. Let z = 12\/11 - 161\/198. Calculate the common denominator of 28\/h + (-590)\/176 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:33 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3609357 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 35*z**3 - 3 + 98*z**3 + 3 - 34*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, 2, -1, 1, 42 in ascending order.\nAnswer: -13, -3, -1, 1, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12*k + 8 = 0. Suppose u = 3*y - 8, -2*y - k*u + 8 + 16 = 0. Solve -2*v + 5*i = -v - 8, -y = 4*i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*c + 23*c - 2744 = 190 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1245926 by -5.\nAnswer: -1245926\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(65)*2*1 - ((1*sqrt(65) + sqrt(65))*4 - sqrt(65)))\/((4*sqrt(800))\/sqrt(10)).\nAnswer: -5 - 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 935820797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 5*b**2 - 5*b**2)*(b**2 - b**2 - 2*b**3) + (-12 - 18*b**2 + 8*b**2 + 11*b**2)*(4*b**3 - 5*b**3 + 2*b**3).\nAnswer: 5*b**5 - 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 3*r**3 + r + 27 + 3*r**3 + 4*r**3 to the form w*r**3 + q*r**2 + g + m*r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43568244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f + 3. Let i(g) = g - 1. Let n(u) = a(u) + 5*i(u). Give n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2662 or 2672?\nAnswer: 2672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((2 - -2) + -6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17969 + 114*n - 17969.\nAnswer: 114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.120254 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 + r + 18. What is n(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -16 + (-12 - (-10 - 15)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -r - 2*g + 14, -3*r + 5*g = 0. Suppose 2*u + 3*x - 15 = -0*x, -x + r = -3*u. Solve -2 = z, u*h + 2*h - 2*z = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -1, -23, -4, 0 in increasing order.\nAnswer: -23, -4, -1, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 156782, -2\/5, 0.9 in descending order.\nAnswer: 156782, 0.9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4248 + 4247. Let g(u) be the second derivative of 11*u**5\/20 + u**4\/2 - u**3 - u**2 + u. Let f(d) = -d**3 - d**2 + d. What is k*g(n) - 6*f(n)?\nAnswer: -5*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1431 (base 10) to base 5\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1539)*1 + -5).\nAnswer: -54*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182 in 5, -0.4, 3, -0.2, -155, -21?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -862*s + 16426 + 11158 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2. Let t(a) = 8*a + 6. Let d(x) = -23*x - 17. Let r(q) = 6*d(q) + 17*t(q). Calculate l(r(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 + 75*w - 116. Let m(q) = 4*q**2 + 25*q - 43. Let t(s) = 7*m(s) - 2*o(s). Calculate t(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - o + 1170 - 14*o**2 - 1170 to t*o + c + m*o**2 + v*o**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 9*l**2 - 37*l + 24. Let p be m(12). What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/4)\/((-1)\/40). Suppose 5*f + w = -2*w + 125, 2*f = 5*w + r. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/14560 + -2*4\/(-104)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + 55. Suppose -3*m + t - 20 = 0. Let f = m + -20. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63871268269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*k = -11864403 - 29621951. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886536687?\nAnswer: 3, 37, 7986817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-27) - (38\/33)\/2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 9*i + 3*i)*(16*i**2 - 40*i**2 + 9*i**2) in the form x*i**3 + m*i + k*i**2 + d and give x.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749340 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1424 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, w: 1, l: 2, a: 1}. What is prob of sequence wl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiwiiiiiwiiiiiwiiw?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -25. Let x = p - -32. Suppose -15*c + 3*c + 684 = 0. What is the greatest common factor of x and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(1\/16))**(6\/5) assuming r is positive.\nAnswer: r**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 2695?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let a(g) = -g**3 + 3*g**2 + 5*g - 2. Let f(t) = -2*t**2 + 1 + 0*t**2 - t**3 - 4*t + 2*t**3. Calculate i*a(s) - 3*f(s).\nAnswer: -s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22651 - -6524. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/693 and 62\/3861.\nAnswer: 27027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 56a (base 12) to base 11\nAnswer: 66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 7}. Give prob of picking 2 j and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012*j**3 + 3 - 1310*j**3 + 544*j**3 - j to c*j**2 + s*j**3 + h + y*j and give s.\nAnswer: -1778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55804\/9 + 6200. Which is the nearest to 7? (a) o (b) -0.05 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11910422.\nAnswer: 2, 5955211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60*0.5\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (10 + -19 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-112)\/(-12) + 1\/(-3). Let n be 6\/a + (-111)\/(-9). Solve 1 - 12 = -4*t - 5*h, -3*t = -h - n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**2 - 81*d + 477. Determine u(11).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/315 + z**6\/30 - z**4\/3 + 42*z**2. Let t(f) be the second derivative of v(f). Find the second derivative of t(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(48\/(-9)))\/(9\/8)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 88*g + 12812. What is j(-145)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-8))\/(g\/(g**(-9\/7)*g)))\/(g**36\/g*g\/(g*g\/(g**(-1\/2)\/g)*g)) assuming g is positive.\nAnswer: g**(-333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 183 = -3*w + 550, 0 = d - 1. Let h = -66 + w. Suppose -z + 23 = a, h - 142 = -4*z + 3*a. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b + 1. Let p(g) = -11*g. What is 3*h(y) + 2*p(y)?\nAnswer: 8*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 26*p + 79. Determine v(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6f8e (base 16) in base 3?\nAnswer: 1110011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, f: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Suppose 2*a + 0*p + 4*p = 24, -20 = -a - o*p. Let -2\/3*q**3 + 0 + 2\/3*q - 2\/3*q**a + 2\/3*q**2 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 2*i**2 + 4*i**2 + (3*i - 4*i - i)*(-316*i + 544*i + 114*i) to o + u*i + d*i**2 and give d.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -55. Which is the nearest to r? (a) 0.2 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3232 and 6161?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*c - 682 = -5*g - 119*c, -432 = -3*g + 5*c. What is the greatest common divisor of 2881 and g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*c**5\/3 - 142800*c**4 + 11828272*c**3 - 391290304*c**2\/3 + 480954624*c - 532528128 = 0. What is c?\nAnswer: -2266, 2, 36\/7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 9}. What is prob of picking 2 n and 1 q?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 = -63*v + 1732 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-711)\/(-2) + (-2)\/4. Suppose -2*w - 89 = -l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -113, -113, -111, -107, -101, -93, -83?\n\"Answer: o**2 - 3*o - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 + 20020122121?\nAnswer: 20020120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15167300 to the nearest one hundred thousand.\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5*j - 2*j)*(5*j**2 - 2*j**2 - 2749789*j**4 + 2758182*j**4 - 4*j**2).\nAnswer: -16786*j**5 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/13 + 4\/65. Let y = -277.3 - -276.7. Which is the second smallest value? (a) -0.1 (b) y (c) s (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(270)\/(-2*sqrt(50)\/sqrt(5)) - ((sqrt(270) - (sqrt(270) + (sqrt(270) - (2*sqrt(270) - sqrt(270))) + sqrt(270)))*-2)\/(sqrt(10) - -2*sqrt(10)*2).\nAnswer: -27*sqrt(3)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9188192 to the power of 1\/2, to the nearest integer?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 4190285 and 6.\nAnswer: 4190291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 3. Suppose j + 2*q - 28 = -2*j, m*j - 16 = 4*q. Suppose 3*s = 5*p + 20, 5*s - 3*p - j = -p. Solve 0*d + 2*d + 2 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/48*(-6)\/(-8). Let z = 0.81 + 7.19. Sort f, -1, z, -0.4.\nAnswer: -1, -0.4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25563 + 0*t - 281*t**3 + 0*t - 25555.\nAnswer: -281*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*b + 5*f, 26 = -5*b + 3*f - 4*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:26 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 258*a**2 - 776*a\/3.\nAnswer: 2*a*(a - 388)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) 0 (b) -2847 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 3\/2, -5 in increasing order.\nAnswer: -5, 0.25, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000142422 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 15227*a + 13. Calculate f(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p)**(-1)*p**(-11)\/p**(-4) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 19*c**2 - c + 21. Let q be y(-19). What is the highest common divisor of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -261*z**3\/4 - 777*z**2\/4 + 3663*z\/2 - 42 = 0. What is z?\nAnswer: -7, 2\/87, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = a + 1024, -5125 = -0*z - 5*z + 4*a. Suppose -u = -5*u - 3*s + z, 768 = 3*u + s. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6776 > -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 41. Let q = -12 - j. Let z = 26 - q. Do z and -1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10696 is divided by 3300.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspsp. Give prob of picking 1 p and 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10670)\/(-1358))\/((-35)\/(-14))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = z + 2*i, 0 = -2*z - 707*i + 709*i + 944. What is the remainder when z is divided by 222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110100000 (base 2) in base 3?\nAnswer: 102002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-955 + 1030 - (4 + -56)) + (-10 - 1) + 0?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220122 (base 3) to base 2.\nAnswer: 10101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uihzyuyh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -393488 not equal to -19280936\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 66 (c) 664\/3 (d) 84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faat when four letters picked without replacement from fotrarrotrtrorta.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 104 - 230*z + 2*z**2 + 230*z in the form m*z + t*z**2 + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus 101?\nAnswer: 100.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -183 in 0.975, -3\/2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 984*n - 774 with respect to n.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1381623 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4298 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24980*h = 25102*h - 854 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57*-97314.08.\nAnswer: -55469.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243.454301 - 243.47. Round c to 4 dps.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.996231 litres to millilitres.\nAnswer: 2996.231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70376 and 1852.\nAnswer: 70376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 207, 262, 335, 432, 559, 722, 927?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 1 - 17. List the prime factors of ((-3753)\/(-2))\/f + (-4)\/(-8).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g + 11 = -y, 0 = -y - 5*g + 34. Solve -6 = -0*n - 3*n + 5*b, -y = -2*n + 5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*i + 2*k + 165, 0 = 4*k + 12. Let w = i - -2. Suppose q = -5, -2*x + 4*q + w = x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1015)\/(-87) - (18\/(-24) + 62\/(-24)) - 110\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 14*c**2 - 23*c + 25. What is the units digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) 0.4 (c) -5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.68105 rounded to two dps?\nAnswer: 23.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 4, r: 2, p: 2}. What is prob of picking 3 j?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-10)\/(-12)))\/(198\/(-990)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14319 - -12028.6. Round z to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220383581 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.948*-24.328\nAnswer: 23.062944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**5\/40 - 19*m**4\/8 - 361*m**3\/4 - 6859*m**2\/4 - 80*m + 55. Let o(j) be the first derivative of u(j). Factor o(x).\nAnswer: -(x + 19)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 10658*l - 85512. What is k(8)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 7010 + 7076. What is the remainder when 254 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20250173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcacctac. What is prob of picking 1 t and 1 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 129656136 and 1698552.\nAnswer: 388968408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3789*d**4 - 8706*d**3 + 2*d**2 + 250475827*d?\nAnswer: 45468*d**2 - 52236*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**2 + 57*y**2 - 1 + 17*y**2 to the form n*y**2 + h*y + m and give n.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.25804 or -3\/2?\nAnswer: 0.25804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 9. Let i be o(12). Solve i*x + 2 = -13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -132 in decreasing order.\nAnswer: 4, 3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.3 and 3607651716?\nAnswer: 3607651706.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 126, 82 in increasing order.\nAnswer: 2, 82, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91\/2 + 48. Let a(z) be the first derivative of -3*z + 1\/3*z**3 + 2 + t*z**2. Calculate a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-52)*-6*(-176)\/(-99)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32059.\nAnswer: 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/((-1)\/(-6)). Suppose 4*w = o*w + 446. Suppose 0 = -4*f + 86 + w. What is the highest common factor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78557.\nAnswer: 17, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 420 = -4*r, 43 = r + 5*b - 74. Suppose j = -j + 4*y + r, -2*y + 145 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r - 4*w, 0*w + 7 = 3*r - w. Let s = -26 - -24. Does 9 divide (-2)\/s*r + 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -121*t + 567. List the prime factors of k(3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = 5*k + 27, 4*w - 4*k - 16 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**6\/15 - u**4\/6 - 18*u. Suppose c(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 360 (b) 2 (c) -3\/7 (d) -0.4 (e) 0.119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 510, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3481*a**2*j**3 + 408*a**2*j + 2*a**2 - a*j**3 - 526586*a*j + j**3 wrt a.\nAnswer: 6962*j**3 + 816*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-517)\/33)\/(1\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70865, -141722, -212577, -283430?\nAnswer: -354281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.79 + 0.49. What is the smallest value in -3\/7, -0.2, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833 - 1719 = -48*s. Suppose 5*p + 13 = y - 0*p, -3*p = 0. Calculate the remainder when s is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226396266 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 - 35*q + 35*q.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eftgtgfftbgffffgf. Give prob of sequence ttf.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 29. Is 7 a factor of p(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -54, -123, -230, -381, -582, -839?\n\"Answer: -r**3 - 10*r**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*l + 161*l + 504. Solve -m - 5*q - l = 0, 4*m - 5*m = -4*q - 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*o + 170*o - 3*o**2 + 2*o**2 as k + l*o + p*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = -11*u - 327 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esessegggsersserr. Give prob of picking 1 s and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*l**2 - 730*l**2 + 1 - 1.\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + -11001000000010?\nAnswer: -11001000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*n*o*w - 3*k**2*n - k**2*o*w**2 + 30*k*o + 3*n*w**2 - 2*o*w**2 wrt k.\nAnswer: -6*n*o*w - 6*n - 2*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 + d - 4. Let f = 7 - -2. Let t be (-1)\/(-1)*-1*(f - 10). Suppose -2*k + 4*h = 5 + t, -2*k = -3*h + 6. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30 and 46\/1737.\nAnswer: 17370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -40160.251618 + -0.0307?\nAnswer: -40160.282318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h + 0*h**2 - 17*h + 26 - h**2. Let l be y(-13). Suppose -2*x = 4*w - 97 + 11, l = -3*x - 3*w + 114. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h*h**(13\/4)*h)\/h)))\/(h*h**(-30\/7)) assuming h is positive.\nAnswer: h**(211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.9 or 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -375228, -750630, -1126032, -1501434?\n\"Answer: -375402*w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10696 and -2\/77.\nAnswer: 117656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**3 - 41*u + 112 wrt u?\nAnswer: 6*u**2 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 z when three letters picked without replacement from {z: 7, a: 9}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 725400 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -42*((-1)\/2)\/((-90)\/(-60)). Solve 4*a - 5*o - 13 = -45, 2*o - c = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*g + 3*t - 2*t, 0 = 5*g - t - 60. Let s = g - 8. Suppose 3*h - 5*v + 16 = 0, 2*h + s*v + v - 26 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 - 6*p**4 + 0*p**4 - p**2)*(4 - 3 + 0)*(0 - 3 - 4).\nAnswer: 14*p**4 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9651*o**4 + 19190*o**2?\nAnswer: -231624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1336496135 divided by -65\nAnswer: -20561479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 900423 at most as big as 900536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 12) to base 13.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -50.54. Let t = -0.26 - v. Which is the closest to 2? (a) -2\/21 (b) -4\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366, -2, 2324, 5, 3.\nAnswer: -366, -2, 3, 5, 2324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k + 32. Let t be f(2). Put 2, t, -76 in descending order.\nAnswer: 2, t, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.8669528 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 14*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - z + 5. Let u be t(0). Let a = -0.004 + -4.996. What is the third smallest value in -3, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) 5 (b) 10 (c) 0.37 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9 = -0*z + 3*z - 0, 4*d = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -117203?\nAnswer: -117181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 10*c + 3 = 0, 0 = 3*n + 5*c + 9. Let p be ((-38)\/3)\/((-1)\/3). Suppose -g = -n*g + p. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 8*p + 0*p + (-1 - 1 + 4)*(p - p + p) + 0*p + 0*p + p + p + 4*p - 4*p)*(-1 + 1 + 1).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 2, v: 11, h: 1}. What is prob of sequence vvhy?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -9167589100 to the nearest one million.\nAnswer: -9168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 365 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 83 (c) 6255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-20) - 243\/(-36). Let s be n\/4 - 4*(-4)\/(-32). Find j such that 1\/2 + 1\/4*j**3 + s*j + j**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59853\/2 or -29926?\nAnswer: -59853\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -114, 0.02, 1\/6?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*a - 821*a + 5238 = -38778 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let b(t) = 79098*t**2 - 10*t + 51. Determine b(a(k)).\nAnswer: 79098*k**2 + 10*k + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 167*q + 3343. Let f be g(-20). Solve -47 = -f*b - 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-12155\nAnswer: 60775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -199497.0198 to the nearest one thousand.\nAnswer: -199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:32 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 1925.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*x, 485*r - 5*x = 480*r - 10. Solve -3*p + 0 = -15, 0 = r*f - p - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -135, -201, -267?\n\"Answer: -66*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.526, 2847\/7, 0?\nAnswer: -2.526","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + z**2 - 1. Let o = 928 + -494. Suppose -246 - o = -4*t. Let x(p) = -p**3 + t + 176 - 347. Give w(d) + x(d).\nAnswer: -3*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 27*s**2 - 3*s**2.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(16\/10)*-2. Let p = -1 + d. Suppose -p*v + 136 = -32. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y - 287 = 301 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*s + 0 - 4 = -7*c, -30*c + 29 = -25*c + s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 2300?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/390 - 5*g**4\/39 + 17*g**3\/13 + 1175*g**2. Factor x(v).\nAnswer: 2*(v - 17)*(v - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-3)*(-348)\/4. Let i = g - 74. Suppose 3*q = 2*w - q - 14, -4*w = -3*q - i. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317208 and 9912750?\nAnswer: 39651000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-1)\/(-2))*-1. Let m(k) be the first derivative of -i*k**2 - 2\/3*k**3 + 0*k + 1. Find the second derivative of m(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 779438 and 25418.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3789)\/(-21))\/(-3) + (220\/(-10) - (-465)\/21).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85118, 170225, 255332, 340439?\n\"Answer: 85107*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -143710.\nAnswer: 1\/143710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12547 - 4836. List the prime factors of b.\nAnswer: 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -77, -118, -177, -260?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665113451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 14) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/48 and 29\/66?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 222825.82 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 24*n + 111. What is k(6)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2384544 and 3196384?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5\/6 - 6955*k**4\/2 + 55725*k**3\/2 - 271735*k**2\/6 + 20905*k = 0 for k.\nAnswer: -4181, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.896 * 5.\nAnswer: -4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2}. Give prob of picking 2 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -2*q - 34. What are the prime factors of q*(-11)\/(-5) - 8\/(-20)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1392 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 + -5 - (-28 + (-23 - -53)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -489, -488, -487?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -28*y + 144. What is the remainder when q(5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237.67 - -236. Let q = i - -1.67000029. Round q to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20208 is divided by 1877?\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1174081 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2127 - 2039. What is the lowest common multiple of j and 99?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:21 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*m - 34548607 - 36674803. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:46 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/479073287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 23*b**3 + 13*b**2 + 22*b + 69. Let s(a) = 13*a**3 + 6*a**2 + 11*a + 36. Let t(z) = 4*d(z) - 7*s(z). Determine t(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - (sqrt(2448)*3 - sqrt(2448) - sqrt(2448))) + sqrt(2448) - sqrt(17))*-5)**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*j - 2369 - 2725*j + 2368 + 366*j.\nAnswer: -2863*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 2*t. Suppose 0 = -5*o + 5*f - 35, 5 = t*f - 0. Let w be (-4)\/(-12) + 32\/o. Put 0.3, w, -0.4 in ascending order.\nAnswer: w, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Suppose 0 = -j + 4 + 1. Let w = 74 - 78. What is the closest to -1\/2 in j, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:59 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*d = 4135 - 19783 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15562530.73052 from 0.1.\nAnswer: -15562530.63052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5177329*n**2 + 46679482*n?\nAnswer: -10354658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 4 = -34*f. Let s(v) = -117 - 4*v**3 - v + 116 + 9*v**3. Give s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 786, 705, 554, 321, -6?\n\"Answer: -2*t**3 - 23*t**2 + 2*t + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10 and 71\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*o - 7784 + 29398 + 28867 = 443*o for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156440?\nAnswer: 2, 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 13*f = a - 19, 4*f - 3*a = 23. Calculate the highest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5829570?\nAnswer: 2, 3, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 128.5, 123, -2.5 in increasing order.\nAnswer: -2.5, 123, 128.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6789.95 kilograms?\nAnswer: 6789950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h - 9*h**2 + 0*h**3 - 27*h**3 + 2*h**3. Let p(g) = 6*g**3 + 2*g**2 - 2*g. Let t(c) = 2*j(c) + 9*p(c). Factor t(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*f + 25, -5 + 0 = -5*d + f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 1386?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/19 + -59\/76. Suppose -13*j + 7*j - 30 = 0. Let s be 11\/j + 27\/135. Is r > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/67 at most 12194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 57 = -19*z. Suppose 25*b - 26473 = z*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*h - 73*h + 2 = 0. Let w be 35 - h - (7 - (-20)\/(-4)). Let z(x) = 2*x**2 + 8*x + 6. Let r be z(-7). Calculate the greatest common divisor of w and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.83 rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6593, 6651, 6709, 6767, 6825, 6883?\n\"Answer: 58*l + 6535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -772 + -2586. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.2, -18, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/12 - w**4\/12 + w**3\/3 + 28*w**2. Let r(x) = -5*x**2 + 2*x - 2. Determine 7*h(m) + 6*r(m).\nAnswer: 5*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 30, -0.3, 2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58135 and 1925.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95)*2 - sqrt(95) - sqrt(95))*5 + sqrt(95))\/sqrt(5).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142616?\nAnswer: 2, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -24. What is the third derivative of -26*g**6 + 14*g**6 + d*g**2 - 7*g**6 wrt g?\nAnswer: -2280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/8 + 2*i**3\/3 - i**2. Suppose 3*u - 6*u - 9*u = 60. Give f(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 6*s + 52. Let z = s - -212. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.177 in -4, -604, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/14)\/(15382\/(-53837))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60387120 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 75. Let x = 9 + z. Let k(w) = -4 - 3 - 137*w - 1 + 135*w. What is k(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2434487607 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 6*o - 18. Let d(w) = -5*w**2 + 7*w + 18. What is -3*d(m) - 4*i(m)?\nAnswer: -m**2 + 3*m + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-1)\/(-10))*(-3138)\/(-2615)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 195246*t**3 - 1952551*t**2 + 1757304*t.\nAnswer: t*(t - 9)*(t - 1)*(t + 195256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*g, -4*l - 52 = 2*g - 7*g. Let p be ((-2)\/l)\/(1\/(-3)). Let f = -0.11 - -0.41. Which is the biggest value? (a) p (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 - 3*m + 6*m**2 + 7*m**2 + (2*m - m + 0*m)*(-1 + 1 - 2*m) to the form y + w*m + v*m**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -505499.\nAnswer: -252749.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, 18\/199, -1?\nAnswer: 18\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3 = 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, d: 3}. Give prob of sequence dd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 3*n + 283 = -19*j, 0 = -2*j + 3*n + 539. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133\/20 + 9\/2. What is the common denominator of f and -48\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}