diff --git "a/data/dm_maths/full_data_2/11038_11255.jsonl" "b/data/dm_maths/full_data_2/11038_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11038_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 0.529298 hours to minutes.\nAnswer: 31.75788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5*y + 10)*(1 + 0*y + 1 - y)*(-13*y + 55*y + 61*y).\nAnswer: 515*y**3 - 1030*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533932091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - h**2 - h - 1. Let x be t(-1). What is the greatest common divisor of 9 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 12. Suppose -4*j = 2*j - 54. Calculate the least common multiple of p(j) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1*(-3 - -2). Suppose -s*d + 0 = 3. Is d greater than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 4*g - 49297 + 49349, 5*w + 5*g = -0*g + 85 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 591533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*t + 84. Factor -t*m**2 - 8*m**3 + 8 + 8 + 4*m**3.\nAnswer: -4*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 7.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 10*y**2 - 5*y - 18. Let f be (0 + -2 - -12) + -1. Let i be p(f). Suppose -6 = 3*s - i. Solve 3*q - q + s = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1 - 5 - 59*m**3 - 2*m**2.\nAnswer: -59*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + c + 328470, 2*x + 4*c + 10419 = 174645. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 133. Is c(-9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 - (-24)\/10. Let z = h - -1. Suppose 2*a - 53 = -z*t, 5 = 4*a + 1. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -20*u + 8. Suppose -118*i = -120*i + 4. Let m(o) = -5*o + 2. Give i*z(y) - 9*m(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-1 + (-12 - (-6 + -11))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -8, -221, 75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26455 (base 9) to base 2\nAnswer: -100010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 + 88*q**3 + 468*q**2 + 224*q - 784 = 0 for q.\nAnswer: -14, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59577017 to the power of 1\/2, to the nearest integer?\nAnswer: 7719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -18. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (48\/(-36))\/((-18)\/20) and -76\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03011614 rounded to 4 decimal places?\nAnswer: 0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -815.02 minus 13.03?\nAnswer: -828.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.2 - -14. Let j = -2.696 + g. Let p = 0.1040063 - j. What is p rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from aaawwaaaaaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*(a**3*a)\/a*a)*a*a)*a*a*a)*a*a\/(a**(3\/4)*a)*(a**(-1\/3)*a)**33)\/((a*a**(-2)\/a)**3)**(2\/11) assuming a is positive.\nAnswer: a**(807\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*o + 6 - 54, f - 12 = 3*o. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - 6 + 7*d + 7*d**2 - 2 - 3. Let q be c(-9). Suppose -5*v + 14 = -m, 3*m = -2*v + 2*m + q. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8210163 and 131?\nAnswer: 8210163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6677 or 6895?\nAnswer: 6677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23915 and 0.1.\nAnswer: -2391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 561.2 + -561. Which is smaller: -1.78 or j?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 3*o**2 - o**3 - 2*o**2 + 35*o - 34*o to q*o**2 + s*o**3 + t*o + d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75205, 76120, 77035, 77950, 78865?\n\"Answer: 915*z + 74290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - 84. Let w = k - -123. What is the greatest common factor of w and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2, 4*v - 10 = 3*v + 3*a. What is the second derivative of f**4 + 3*f - f**v - 2*f**4 - 2*f wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c - 140*c - 313*c + 2*c**2 - 431*c + 17*c - 692 = 0.\nAnswer: -1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010011100 (base 2) to base 8\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anzzazawznzznfzzfz. What is prob of sequence nnwn?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1 + 29*b**2 + b**3 - 11*b**2 - 17*b**2 - b + 0*b. Calculate r(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147097505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-26) - (-1460)\/(-26). Let b be (6\/(-21))\/(4\/t). Suppose 0 = 3*u - 12, -35 = -5*f - u - 4*u. Solve -b*r + 4 = -12, 2*r - 2 = f*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10 + (-100)\/10 + 15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11401\/26)\/(3\/18 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2881*h**3 + 34*h**2 - 3*h - 2. What are the prime factors of u(2)?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6))\/l*l**(1\/9))**(-50)\/((l**(1\/4))**(7\/2))**3 assuming l is positive.\nAnswer: l**(21011\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -3*k, 2*j + 5 = 5*k + 7*j. Suppose 2*z + 5*w + 12466 = 12438, 5*z - 22 = -w. What is the nearest to z in -1\/3, -6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 7}. What is prob of sequence nn?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/38479 and 73\/805.\nAnswer: 192395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08324 - -8159253147.\nAnswer: 8159253147.08324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l**2 - 2*l + 5. Let m(o) = -o**3 + o**2 + 4*o + 3. Let v be m(3). Let s(d) = -11*d**2 + 4*d - 9. What is v*s(z) - 5*i(z)?\nAnswer: 3*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568.84 - 350?\nAnswer: 3218.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*b + 60 = -744*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*f = -25, 4*f - 1 + 8 = 5*l. Suppose -l*u + 761 = -4*c + 8*c, c - 195 = 4*u. List the prime factors of c.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 2436\nAnswer: -68208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1356, 1430, 1540, 1680, 1844, 2026, 2220?\n\"Answer: -w**3 + 24*w**2 + 9*w + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 2*z**3 - z**2 - 4*z**3 + 4*z**3 + z**3 + (-1 + 3 + 0)*(5*z**3 - 3*z**3 - 4*z**3).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24087 + -24087.3. Let t be (0 + -2)*26\/(-4). Put b, -1\/3, t, -1 in increasing order.\nAnswer: -1, -1\/3, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 101*b**2 + 119*b - 58. What is the thousands digit of p(101)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -57, -69, -61, -27?\n\"Answer: l**3 + l**2 - 36*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/452 and -19\/791.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*t + t + v, -3*v - 15 = 0. Find the third derivative of 6 - 3*u**t - 6 + 3*u**3 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 135.6. Let y = -27.9 - g. Put y, -5\/3, 0.2, 3 in decreasing order.\nAnswer: 3, 0.2, y, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10562436 to the power of 1\/2, to the nearest integer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 65*l - 24*l - 737 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1553 > -1553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-54) - 1258\/(-9). Let o = r - 63. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -23*n - 28*n + 3*n + 0*n. Let m(w) = -8*w**2. Determine o(m(c)).\nAnswer: 384*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -56 + 0*a**2 - 1\/12*a**4 + 0*a**3 - 2*a. Let i(f) = -37*f. Calculate i(l(t)).\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k - 4*k**3 + 1\/2*k**2 + 69. Determine r(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (25 + -34 - (-4 + -1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862*n - 5041 = 545. Factor 96\/13 + 664\/13*c - 98\/13*c**n + 1120\/13*c**2.\nAnswer: -2*(c - 12)*(7*c + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 - -98. Solve 2*c - f = 3, 0*f - 2*f - j = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4884*l**2*t**2 - 3*l**2 + 15*l*t - 10*l wrt t.\nAnswer: 9768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13241303 (base 5) in base 2?\nAnswer: 100000101101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -10.0967988.\nAnswer: 30.2903964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-65)\/30) + 2\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.047332 and 0.2.\nAnswer: 0.152668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 37 + 15 = -14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 17342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2123211 + 1?\nAnswer: 2123212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 1. Suppose l - 63 = -u*l. Suppose m = -2*m + l. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b + 3. Let u(g) = -4*g - 3. Let z be u(b). Suppose 11*i - 30 = z*i. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**3 - 4*k**2 + 10*k + 8 = 0. Calculate k.\nAnswer: -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 12 = g, 0 = -4*g + 3*h + 2 + 19. Let l(u) = u + 11. Let v be l(-7). Solve 3*f = 6, 1 = v*o - 3*f + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Let a(r) = 141*r - 9. Let j(u) = -10998*u + 705. Let s(n) = 235*a(n) + 3*j(n). Calculate s(o(v)).\nAnswer: -282*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -0.04 (c) -3\/7 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*p - 286 - 239 = 0, -p = 0. Calculate the highest common divisor of m and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 471749629*w**5 - 2*w**2 - 353402*w + 581.\nAnswer: 9434992580*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -59?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 2*a - 1. Is u(-4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**3 - 2073*z**2 - 195*z**4 + 529*z**4 + 757*z**2 wrt z.\nAnswer: 8016*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 379480, 761859, 1144238, 1526617?\n\"Answer: 382379*a - 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 - -261. Suppose -2 = 2*i - 0*i, 4*i = -n - 4. Let q = 6 + n. What is the least common multiple of q and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*a**2 - 2*a + 436*a**2 - 8*a**2.\nAnswer: 68*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 10*k - 0*k. What is the remainder when -36*(-2 - -4)\/(-2) is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*w + 18, 0*w - 2*w - 6 = -4*u. Put -0.08, u, 5 in increasing order.\nAnswer: u, -0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1212405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c**3 + 6*c**2 + 6. Suppose -w + 1482 - 1483 = -2*b, b + 5*w + 16 = 0. Let l(v) = -v**2 - 1. What is b*q(s) - 6*l(s)?\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1008 from -52.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 14\/6. Let y be (-1)\/(-1*m\/4). Suppose 7*p = 2*p, 6 = y*x - 5*p. Solve -x*u - 2*u - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12715838658 + 79151.\nAnswer: 79151.12715838658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*r + 55 = 0, 3*t - 15 = -5*r + 2*r. Suppose t*o - 80 = 8. Calculate the highest common divisor of o and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -16. Which is the third biggest value? (a) -1 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 2 = -3*d, -5*y + 4*d = -23. Solve 9 = -y*u + 4*z, -6*u = -u - z + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5*(-2 + sqrt(13)) - 3*sqrt(208)) + (0 + 1*sqrt(13))*1 + ((sqrt(13) + sqrt(26)\/sqrt(2))*5 - (sqrt(1300) + (sqrt(1300)*2 - sqrt(1300)))))**2.\nAnswer: 6120*sqrt(13) + 37413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 29 = 5*m, 3*m - 7 = 3*i - 28. Which is the third smallest value? (a) 1 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 13*d**2 - 24*d - 26. Let z(o) = -o**3 - o - 1. Let u(n) = j(n) - 5*z(n). What is the remainder when u(-14) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -34. Suppose 4*x - t*u = 5 - 21, 2*u = 4*x + 12. Let w(k) = 18*k**2 - k + 3. Is w(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 11*v**6\/6 + 3*v**5 - v**4\/4 - 1287*v**3 - v**2\/2 - 6406. Find the third derivative of w(b) wrt b.\nAnswer: 660*b**2 + 360*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.58 - 0.08. Do w and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 252 + 284 + 2*o - 42 + (1 - 3 - 1)*(9*o - o + 10*o).\nAnswer: -52*o + 507","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzk when three letters picked without replacement from {k: 7, h: 4, z: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554890 and 7.\nAnswer: 554890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -26, -34, -38, -38?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/2*(2 - (-60)\/(-21)). Solve 0 = -3*z - n*g - 3, 6*z - 7 = 5*z + g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4)\/p)*p*p**(-2\/27)\/p*(p**0*p)**(-1\/20))**(-42) assuming p is positive.\nAnswer: p**(-22211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 93\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8520.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 41652712*r**2 - 41652712*r**2.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*u - 49350 + 22684 = 0 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 301660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1231042440?\nAnswer: -1231042442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + z + 2*z - 15, z - 53 = 3*g. Let j be (g\/3)\/(-1) - 3. Find the second derivative of -6*l - 4*l**4 + 5*l**4 - j*l**4 - 6*l**4 wrt l.\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z + 4. Which is the closest to 1\/3? (a) -0.4 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 79, 14, 5, 1 in decreasing order.\nAnswer: 79, 14, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 + 14*d - 19. Give l(-9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174736337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/14 and 107\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-130)\/(-42))*(-4 - -5). What is the second smallest value in w, -6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h*h)**(-9))**(-2\/33) assuming h is positive.\nAnswer: h**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 112 (b) -1 (c) -5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/27 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/81)*z*z\/(z**(-1\/9)*z*z) assuming z is positive.\nAnswer: z**(7\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -2966.\nAnswer: -45\/2966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -766.1 < 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 27405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 + 125. Suppose 20 = -2*f - 2*f + 3*d, 0 = -2*d. Let x = s + f. Which is the closest to 2\/3? (a) x (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyrr when four letters picked without replacement from {r: 2, n: 2, d: 2, h: 1, y: 1, q: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 46*c**2 - 239*c + 26. Give b(-40).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 17 = j. Let o be 1\/((3*(-4)\/(-36))\/1). Sort -4, -3, o, j in decreasing order.\nAnswer: o, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -955 - -939. What is the second smallest value in -0.4, v, 4, 0.3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90*(-10)\/60)\/(18\/((-216)\/(-10))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3493*s*t - 3752*s - 1 wrt t?\nAnswer: 3493*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 828408*g + 2. Let o(k) = -3*k. Determine x(o(p)).\nAnswer: -2485224*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkw when three letters picked without replacement from thwtnkkh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831 take away -91428890?\nAnswer: 91430721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 938 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17174.4379 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 67*r\/2.\nAnswer: r*(r + 134)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**(-36)\/m*m)\/m)*m)**(16\/5))**37 assuming m is positive.\nAnswer: m**(23088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/316110 and -2\/42405.\nAnswer: 3477210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 4. Let p be n(15). Let s = 12 + p. Suppose -236 + s = -5*o. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1489156347*r**2 - 1106346122 wrt r.\nAnswer: 2978312694*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923*-0.5.\nAnswer: -461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {w: 1, y: 3, p: 2, a: 3, g: 4, h: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 12:38 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:39 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v + 87. Determine u(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -1 (d) -517960\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1385 divided by 4267.\nAnswer: 1385\/4267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -56. Suppose a*y = 3*q, -y - 6 = q + q. Calculate the common denominator of -16\/9 and (77\/q)\/(5\/2*3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2 + 2333837796*u - 453899904836511468 = 0?\nAnswer: 388972966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y - 5*l - 516 = -541, 2*y + l - 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*l**3 + 666*l**3 + 2102*l**3 - 560*l**3.\nAnswer: 1737*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1.05, 0.3, -1, -40?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7989*c**6 + 8*c**3 + 93806*c**2?\nAnswer: 958680*c**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.0473 millimeters to kilometers.\nAnswer: 0.0005840473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*k + 28 = -652 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12 = -2*n, -m + 3*m + 14 = -3*n. Is (m*9564\/18)\/((-4)\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c**5 + 0 + 0*c**6 + 3*c**2 - 1\/70*c**7 + 0*c**4 + 0*c + 1\/6*c**3. What is the first derivative of k(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 u when three letters picked without replacement from {u: 9, k: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -54. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w + 2. Let p be m(-3). Solve -p*h - 2*u + 10 = 0, -2*h - 2*u + 2 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14889768 by -2.\nAnswer: -7444884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -2. Let h = 16.8 + c. Sort 2\/13, 3, h in decreasing order.\nAnswer: 3, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {x: 1, d: 6, m: 11}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6921 by 9.\nAnswer: -769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(d + 0*d - 2*d) - 4*d + 2*d + 3*d - 396*d - 88*d - 473*d as z + t*d and give t.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 2. Suppose -34 = 5*w + 6. Let b be (-16)\/12*(-2)\/w. What is the third smallest value in -0.1, a, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -2\/35, -0.4, 2\/11 in descending order.\nAnswer: 2\/11, -2\/35, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*-2 + 2 + (3*(sqrt(126)\/sqrt(7) + sqrt(2)))**2.\nAnswer: -20*sqrt(2) + 290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3484 = 5*k - 12889. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*f - 124*f + 106*f**2 - 124*f - 127*f - 715.\nAnswer: 106*f**2 - 715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:15 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*s - 6114997, -4*s = -s - 3. What is v rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9) + 16401\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.73 - -8.5495. Let k = -0.41982 + h. Let a = 0.6 + k. Round a to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 13*k = 2*r + 281, -3*r = -k + 51. Let j be k - (-3 + -1 + 1). Suppose j*f + f**4 + 2*f**4 + 84 + 54*f**2 - 60 + 21*f**3 = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120331 (base 4) to base 8\nAnswer: -3075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25835898*b**3*f**2 - 555421*b**2*f**2 - 2*b**2*f - 6*b*f**2 wrt b?\nAnswer: 155015388*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9490175.73us?\nAnswer: 0.000015691428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*4 - 0. Suppose -l*m + m - 3 = -5*t, -3*t = 2*m - 17. Suppose 3*b + 0*b = t*x + 9, -2*x - 4*b = 0. Let v(r) = r**3 + 4*r**2 + 4*r + 3. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -890 - -10693\/12. Let p = 3\/4 - q. Let k = 1 - -4. Which is the third biggest value? (a) k (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 p when three letters picked without replacement from ddmpkemmeddpdkepkkp.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 545.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 6 = 2*u, -3*u - 619*j + 615*j + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*z - z - 12, -z + 11 = -2*q. Let x be (-3 + 12\/3)*z. Solve x = w - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608962 bigger than 608961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 490*a + 19. Let w(o) = -982*o - 33. What is 4*w(j) + 7*z(j)?\nAnswer: -498*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3636408749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1474854 or 1?\nAnswer: 1\/1474854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1480, 2944, 4410, 5878, 7348?\n\"Answer: m**2 + 1461*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 52.05. Let y = 0.05 - z. Let d = 1 + -1. What is the nearest to y in -0.2, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:32 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87033222?\nAnswer: 2, 3, 4835179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018800976 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/4 + 3005984*h - 4007979\/4 = 0.\nAnswer: -4007979, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 490, 1366, 2836, 4900, 7558, 10810?\n\"Answer: 297*x**2 - 15*x + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*f - 3 - 3, v = -3*f + 13. Which is greater: f or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 7. Let j(u) = -1. Let l = -115 + 175. Let t = l + -54. What is t*j(p) - o(p)?\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47582 and 9250?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(180))*5 + sqrt(180) - (sqrt(180) - 2*(1 + sqrt(180))))**2.\nAnswer: 588*sqrt(5) + 8869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2*n**2 - 2*n**2)*(398*n + 171*n - 160*n)*(0 + 1 + 4).\nAnswer: -2045*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y**2 - 89*y**2 - 80*y**2.\nAnswer: -230*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 9*s**2 - 4*s + 10. Let q be l(-10). Let t be (-531)\/6*q\/15. Suppose 8*o = 489 + t. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6133398 to the nearest integer?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxx when four letters picked without replacement from xxxxxxxxxxqqqxx.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*1*12\/27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 7 + 11*c**3 - 8 + 2*c + 5*c**3 to f + o*c**3 + g*c + q*c**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5879 is divided by 1963?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:21 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m + 4*z = 1448, -2*z - 740 = -m. What are the prime factors of m?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**7\/70 - 69*o**6\/10 - 279*o**5\/5 - 140*o**4 - 36*o**2 - 95*o. Factor a(g).\nAnswer: 3*g*(g - 280)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2914978 and 1324990.\nAnswer: 14574890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365638*s**4 + 4*s**3 + 47*s**2 + 1417330.\nAnswer: -8775312*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3356342.01 minutes to weeks.\nAnswer: 332.9704375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.4, 3, -0.5, -231?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 163916*d + 163918.\nAnswer: -2*(d - 1)*(d + 81959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.5754 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4*k**5\/5 - 46*k**4 + 1924*k**3\/3 + 2208*k**2 + 2304*k + 137. Determine n, given that a(n) = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -2, 23338 in decreasing order.\nAnswer: 23338, 152, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 16746*h - 133991. Give v(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 57 = 3*f, 49 = -4*f - y - 27. Let j = 44 + f. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.272 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -375 - -708. Let c = -61 + g. Calculate the highest common divisor of 34 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 417 = -1217. Find the common denominator of ((-4)\/u)\/((-2)\/(-65)) and -3\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 19*j - 36 = -21*j, -3*j = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**2*u**5 - 2*c**2*u**2 - 6*c**2 - 3*c*u - 3778*c - 193200*u**6 wrt u.\nAnswer: 840*c**2*u**2 - 23184000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 24*y**2 - 73*y - 208. Let n be k(-21). Let g be ((-96)\/21)\/2 + 2. Which is the closest to -2? (a) g (b) 0.2 (c) n (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -84, -135, -192, -255, -324, -399?\n\"Answer: -3*r**2 - 36*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a kilogram in grams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 2 + 71\/120*w**6 + 13\/2*w**3 + 0*w**5 + 0*w**4 + 0*w - 13*w**2. Find the first derivative of k(g) wrt g.\nAnswer: 213*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - sqrt(16)\/sqrt(128)))*3 + 2.\nAnswer: 3*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*c - 3, 5*c = 29*r - 43*r - 100 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1032.149 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose c*m + 4 = 4*m. What are the prime factors of -1 - 2\/m - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14516 - -29364. Suppose 170 = 4*n - 2*u, 486*n + 5*u = 481*n + 205. Does 2 divide (-4)\/n + k\/672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 19*t**2 + 15*t - 17. What is h(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:20 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -0.5 (b) 1 (c) -1\/1454 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 19*y - 45. Let c be s(-4). Solve 10 + c = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -207208 divided by 59\nAnswer: -3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20113 (base 7) to base 15.\nAnswer: -1691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*f - 23 + 6, f + 1 = 0. Let b be u + -4 + 529999 + 1. What is b rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 4, 3*g = 2*s + 2. Suppose -5*k - f = -15, -2*f = -3*f + s. Let t = 159 + -154. Solve -p = -t*n + 14, -10 = -k*n + 4*p + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crup when four letters picked without replacement from {u: 1, p: 2, w: 1, c: 5, g: 10, r: 1}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u - 4 + 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 21743.\nAnswer: 8\/21743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80186.54ml?\nAnswer: 80.18654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096 divided by 2?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6608063 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*z + 36, 0 = t + 3*z - 2*z - 9. Suppose t = 6*d - 5*d. Let l(n) = -n**2 + 9*n + 7. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 16. Let d(a) = -1. Let u(c) = 3*d(c) + p(c). Let v be u(10). Solve v*r + 15 = -0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*p - 15 = -2*p, p + 14 = 4*s. Suppose 2*m + d - 2*d = 25, -d = -s*m + 36. Suppose 49 = 3*o - m. Solve -2*b - o = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 10, 1, -40, 5, -2 in increasing order.\nAnswer: -40, -2, 1, 5, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10990, -21974, -32954, -43930, -54902?\n\"Answer: 2*r**2 - 10990*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*i**2 - 85*i**2 + 270*i**2 + 9*i**3 - 105*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3\/4*24\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t - 189*t**2 + 0 - 101*t**3 - t**4 - 1 + t + 6*t + 188*t**2 to q + k*t**4 + s*t**2 + z*t + w*t**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 3. Let r = -7 + 1. Let v = r + 5.9. Which is the nearest to 1? (a) v (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (-1 - -4) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1396*w - 702*w - 697*w - 2. What is h(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -382, -578, -778, -982, -1190, -1402?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Suppose -1 = p - z. Let o(j) be the first derivative of j**4\/4 - 4*j**3\/3 - 2*j**2 - 7*j + 13. Determine o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -293515*f**4 + 105562 wrt f?\nAnswer: -1174060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -76218, -3, -119 in ascending order.\nAnswer: -76218, -119, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 9008*w**5\/7 - 90078*w**4\/7 - 935548*w**3 + 6628434*w**2\/7 + 1472*w\/7 = 0?\nAnswer: -23, -1\/4504, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let q(u) = 6*u + 1. Let x be q(l). Suppose 2*t + g = -3*t + 23, x = 3*t - 5*g. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:53 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 234 - 263 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**(3\/22)*t**(-1\/2)\/t*t\/((t\/t**(1\/10))\/t)*t assuming t is positive.\nAnswer: t**(81\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -12*x + 29. What is the greatest common divisor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 348*w + 17. Let u be y(-2). Let b = 3317 + u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 5. Let p be (11 - 2)\/(1 + -2). Let w be y(p). Let x be w\/2 - (0 + -4). Solve -b - 3 = x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6662 + 1692151\/254. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, n: 15}. Give prob of picking 2 n and 1 s.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 91 + 593 = -59*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = d + f - 73, -5*d = -2*f - 225. What is the units digit of (d - 6)\/((-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z - 225. What is t(24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 - y**4\/24 - 2565*y**2 - 2. Let b(s) = 84*s**2 + 70*s. What is 3*b(c) + 210*q(c)?\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861 = 17*b + 4*b. Solve 58*n + 307 = -b for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-20)\/(-18)*-15. Let b = -32 - k. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 2 + -4 + 5. Factor -3*k**2 + j*k - 20*k + 10*k - k**3.\nAnswer: -k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7 - 0)) + (4 - 2) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 17*t - 4*z + 145, -655 = -4*t - z. Is 33 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 202\/9 (b) -0.5 (c) -9 (d) -0.2 (e) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 6*q + 11*q**3 - 20 - q**2 + 271*q**3 - 4*q.\nAnswer: 282*q**3 - q**2 - q - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 5138715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/874650 and -79\/41650?\nAnswer: 874650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:58 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:16 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/9 - 18672028*m\/9 + 43580578704098\/9 = 0.\nAnswer: 4668007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - ((-24)\/8 - 5). Which is greater: v or -9\/122?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 37. Let z = d + -15. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 165288 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 - 5 = 0. Suppose -10 = 5*b, 4*c + 4 = 2*c - i*b. Solve -6 - 3 = -c*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79943.79 weeks to minutes.\nAnswer: 805833403.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 5 - -14 - (10 - -37).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11278063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, h: 5}. What is prob of picking 2 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**3 + 10*y**2 + 4*y + 1. Let h(l) = -l**3 - l**2 - l + 1. Let d(o) = a(o) + 5*h(o). Let j be d(5). Let z = 4 + -2. Is z not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19470807.\nAnswer: 3, 721141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/20 - (-2)\/(-5). Solve -v*j - j = -3*z - 15, 4*j - 16 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390234877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80509.02 nanograms in micrograms?\nAnswer: 80.50902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142.7 + 142.6. Which is the nearest to y? (a) -3 (b) -1\/18 (c) 5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 6. Let w = 7 + d. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15349 - -55\nAnswer: -15294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 22*s - 162350. Suppose -5*n - 3096 = -y - s, 5*n - 3*y - 6452 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.779226026 rounded to 3 decimal places?\nAnswer: -0.779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 17. Let a(x) = -x - 8. Let n(z) = z**3 + 8*z**2 + 3*z + 11. Let h be n(-8). Give h*a(j) - 6*y(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-255)\/(-9) + (-4)\/(-6). Suppose -2*t - 71 = -3*r, y = r - 0*r + 2*t. Let u = r + -15. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*u - 90 = -238*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348 is divided by 505?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, 44, 86, 156, 260, 404, 594?\n\"Answer: b**3 + 5*b**2 - 2*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 45*p**3 - 6*p**2 - 45*p + 11. Let m(f) = 44*f**3 - 6*f**2 - 44*f + 10. Let t(w) = 5*m(w) - 4*y(w). Factor t(j).\nAnswer: 2*(j - 1)*(j + 1)*(20*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*f - 40 = -r + 119*f, 66 = 2*r - 4*f. Solve 15*n = r*n + 28 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 22*n**2 + 3*n + 6. Is r(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/10, 5, -4, 3\/10, 1.1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 27*s - 5. What is the hundreds digit of i(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 707, 1426, 2147, 2870, 3595, 4322?\n\"Answer: s**2 + 716*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 22 = 3*h - 10, 0 = u - 2*h - 13. Let i = 5 - 3. Which is the closest to 2\/3? (a) u (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*n + n + 11 - 33 + 5 + 5.\nAnswer: -2*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c. Let k be h(2). Let v = k - -63. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 = -2*p, 6 = -4*m - 5*p + 10. Let q(j) = -9*j + 12. Let n be q(m). Let d(w) = 14*w**2 - 7 + 21*w**2 + 14*w**2 - n*w**2 + 5*w. Give d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600799 is divided by 198?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -1\/20*g**5 - 7*g + 6*g**2 + g**3 + 0 + 7\/12*g**4. Let j be n(8). Let p(f) = -2*f - 4. What is p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270 divided by 5?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*l = -0*l - 4, -2 = -5*i + 2*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8319.\nAnswer: 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 137.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 6. Let s(v) = 1. Let u(h) = j(h) - 4*s(h). Let k be u(4). Suppose 5*w - k = 3*w. Solve 4*o + 3*a + 16 = 5*a, w*a - 4 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*a + 30 = 0, 3*c - 3*a = -0*c + 6. Suppose 2*x - 17 + c = 0. Let l(j) = 4*j - 13. Is l(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1. Let v(u) be the first derivative of -u**4\/24 + 5*u**3\/6 - u**2\/2 - 1. Let l(s) be the second derivative of v(s). Calculate -3*k(m) - l(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*g. Suppose 2*a + 2*h + 41 = -3*h, a - 2 = g*h. List the prime factors of a\/20 + 44\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**21*k)*k\/(k*k\/((k**(-22)\/k)\/k)*k)*k*(k\/k**5)**(4\/11))**(6\/11) assuming k is positive.\nAnswer: k**(-426\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 16 = 24. Suppose -u + 13 = 5*d. Which is the nearest to -3? (a) -1\/7 (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 16*p**2 + p. Let u be t(-1). Suppose 2*v - 432 = -6*k + 2*k, 2*k - 2*v = 222. Let m = -49 + k. What is the highest common divisor of u and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-1744)\/(-112))*(-14)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3509, -3917, -4355, -4817, -5297, -5789, -6287, -6785?\nAnswer: -7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -6.8. Let s = i + 4. Let m be (-4)\/(59840\/(-3300) + 4\/30). Which is the closest to -0.13? (a) s (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61040 and 270480.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -4, 0, -9, 1\/2, -74.61 in ascending order.\nAnswer: -120, -74.61, -9, -4, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43923755 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w - 2. Let p(j) = -j. Determine 2*l(q) - 14*p(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*s + n, -3*s - 2*s - 3*n = -169. Let w = 4 + s. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 - 191.6. Let k = 54 + -539\/10. Put -4, d, -3, k in decreasing order.\nAnswer: d, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 39. Suppose 0 = -0*s - s + 19. What is the remainder when s is divided by a*2\/(-2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -5177, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*q = -15, -25*i - 5*q - 68 - 61 = 28*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 3*z + 50 = -6, 5*y = -225271*z + 225269*z - 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**7\/7 + 59*f**4\/12 + 4*f**2 - 1. Find the second derivative of m(u) wrt u.\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24425 in 0.3, 3, -0.046?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 275.339 + -276.5. Let v = 0.061 + y. Which is the second smallest value? (a) 1\/6 (b) v (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -281, -283, -285?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 251 divided by 5\nAnswer: 251\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - (-24)\/40. Let j be (h + 24 - 4) + 0. Let n = 20 - j. Sort n, 3, -3 in descending order.\nAnswer: 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256954431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.63455 centimeters to kilometers.\nAnswer: 0.0000163455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -74. Solve r - 5*s + 0*s - 16 = 0, v*r = s + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 582, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -7 - (-2 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 17 + 97. Let t = 23 + a. Solve 0 = 4*r + t + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 41*i - 3*i = -107855. What is the greatest common factor of i and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 113552?\nAnswer: 113552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*v**3 - 136*v - 123*v**3 + 136*v.\nAnswer: -208*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) -213\/8 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.421 and 2331732699.05?\nAnswer: 2331732700.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46985839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3.1. Let s = 1.09974 + l. What is s rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c + 0*c + 5*c - 2*c - 2*c + (-5*c + 4*c + 3*c)*(2 + 3 - 3))*(24*c**2 + 26*c**2 + 58*c**2) to the form k + r*c**2 + u*c + x*c**3 and give x.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 = 2*x, -4*f + 6 = -2*x - 0*x. Suppose 0 = 5*y - 15, 2*y = f*g + 3*y - 1853. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22221 - -521187. Suppose n + v = -n. Let i = -978296 + n. Round i to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 3*t**2 - 6*t - 5. Let h be 23\/4 - (-36)\/(-48). Let w(f) = -7*f**3 - 6*f**2 + 11*f + 8. Let l(i) = h*n(i) + 3*w(i). Calculate l(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, s: 6}. What is prob of picking 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.981 + -5.1. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (18\/(-3) - 570) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289186*c**3*k*x**3 - c**3*k - 24*c**3*x**2 + c**3*x + 3*c**2*x**2 - 1682*c*k**2*x**3 + 2208*c*k**2*x + 47*c*x wrt x.\nAnswer: -1735116*c**3*k - 10092*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v - 1. Let c(m) = -60*m + 2. Give -5*c(k) - 12*h(k).\nAnswer: 12*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -361128425 divided by -3241?\nAnswer: 111425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -6 - (-4 + 2). Suppose -4*q + 2*q = h. Let b(i) = i**3 - 15*i**2 - 38*i + 72. Let o be b(17). Sort -4, q, o in increasing order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 4*v)*(5 - 5 - v)*(-263 + 40 - 85).\nAnswer: -308*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11*2)\/((-18)\/12*((-31200)\/72)\/65)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k. Let w(f) = -311*f + 311*f + 6*f**2. Give m(w(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5926544 and -17\/4444908.\nAnswer: 17779632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26706995 to the nearest integer?\nAnswer: 5168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*t - 4*t. What is the third derivative of 45*r**2 - t*r**3 + 14*r**3 - 46*r**2 wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12684 - -12696. What is the smallest value in i, 0.11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106502151 * -3\nAnswer: 319506453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1753\/112 - -255\/16. Let h(r) be the second derivative of 0 + 1\/14*r**3 + f*r**2 - 1\/84*r**4 + 3*r. Factor h(t).\nAnswer: -(t - 4)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00543 to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 + (-2 - -2). Let j(h) = h - 6. Let o be j(5). Let m = -98\/3 + 33. Which is the third smallest value? (a) y (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8045.01 - 8012. Let u = -33 + l. Let k = -0.44 - -0.14. What is the second smallest value in k, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, k: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 11 = -j - 4, -5*f + 10 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(1*80\/(-24))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/16 - (-66)\/176 - (88 - 10).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 226 - 0.6\nAnswer: 225.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18414 divided by 1.\nAnswer: 18414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 277807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33959181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25029635 - -22\nAnswer: -25029613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258058 - 36978.\nAnswer: -295036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + 70\/(-20))\/((-1)\/2844)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7777*j + 17927 wrt j?\nAnswer: 7777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose 3*a = a + m, -4*u = 2*a - 22. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2891 > 5361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/3 - 28803*p - 5267228\/3 = 0.\nAnswer: -86348, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {d: 1, p: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 213?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n + 257. Let q(p) = 3*p - 64. Calculate 2*i(f) + 9*q(f).\nAnswer: f - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-13)\/(-26) + (-3)\/(-18)). Put 0, 135, -4, i in descending order.\nAnswer: 135, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2592 or -20745\/8?\nAnswer: -20745\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 104 (b) -2\/9 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29405*n + 88169. Calculate s(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + z - 26, 4*k + 3 - 16 = 3*z. Let b(j) = -j**3 + 13*j**2 + 8*j - 13. Is b(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1460, 11475, 38546, 91163, 177816?\n\"Answer: 1415*f**3 + 38*f**2 - 4*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 3 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 4*v**3 - 3*v**2 + 524 - 2*v**3 + v**2.\nAnswer: -v**3 - 2*v**2 + 524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106562678 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: Suppose 3*w - 10 = -16*n + 14*n, 3*w - 8 = -n. Let x(r) = 31*r**2 - 37*r + 76. Calculate the remainder when x(w) is divided by 118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**3 + z**2 + (z**3 - z**2 + z**2)*(3 - 1 - 3) + 5*z**3 - 4*z**3 + 0*z**3 + (-2*z**2 + 0 + 0)*(2 + z - 2) + z**3 + z**3 + z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*((-342)\/(-4) + (-24926)\/4532).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 46*r**2 + 107. Let c be q(23). Solve 58*l - c = 67 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1373*u + 1537*u + 12909 - 2409 = 2770*u for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 890704203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f**(2\/5))**(-1\/3) assuming f is positive.\nAnswer: f**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -133014?\nAnswer: -133024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, c: 1, g: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21072\/144 + -148)\/(10\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 3*m**2 + 8*m + 4. What is i(4)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.79 + -5.49. Let x = -12.4 - n. Let q = -8 - x. Put -3, -4, q in increasing order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/(114\/72) + 4491 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z - 16. Let j be h(-3). Let v be (1154\/3)\/(j\/12). Suppose v + 584 = 3*a. What is the greatest common divisor of a and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 38*c - 40*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 29*i**3\/3 + 2*i**2 + 4*i - 154. What is the units digit of d(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**4 + 4*x**3 + 3*x**2 - 3. Let q(g) = 3*g**3 - 5 + 3*g**3 - g**3 - 3*g**4 + 4*g**2 + 1. Let o(h) = -3*q(h) + 4*v(h). Find i, given that o(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -6, 3, -3, 2 in decreasing order.\nAnswer: 112, 3, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s. Let f(t) be the second derivative of -12*t + 0*t**3 + 0*t**2 - 4\/3*t**4 - 4. Determine f(y(c)).\nAnswer: -1936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*w**3 + 14*w**4 - 8 + 9 + 135*w**3 - 60*w**2 + 61*w**2 in the form i*w + t + b*w**4 + o*w**3 + z*w**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 1473650*h - 14737000 = 0.\nAnswer: -10, 294740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**5 + 7*v**4 + 26*v**3 + 25*v**2 + 2*v + 4. Let j(q) = q**5 + q**3 - 2*q. Let s(m) = -35*j(m) + 5*o(m). Factor s(h).\nAnswer: 5*(h + 1)**3*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 + 2*o + 1. Let j be c(2). Let i = j - 21. Let v = -8 + i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3993224 and 432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 19*m**5\/20 - 5*m**4\/12 - 805*m**3\/6 - 24*m + 4. What is the second derivative of b(r) wrt r?\nAnswer: 114*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.25.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v - 3. Let c be q(-4). Let l = 1962 + -1998. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 940, 495, -1260, -4325, -8700, -14385, -21380?\nAnswer: -29685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 46. Let x = -39 - s. Let l = x + 0.9. What is the third biggest value in -2\/3, l, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rennnjnnnnrnnn. What is prob of picking 1 r and 1 e?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -25. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o + 1\/3*o**3 - 8 - o**2. Let u be ((-2)\/3)\/((-2)\/6). What is w(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403042, -1611861, -3626562, -6447145, -10073610, -14505957, -19744186?\nAnswer: -25788297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 805 - 390. Let k = u - 402. Solve -23 = 2*x - 3*t, -3*x - 3*t + k = 2*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/176814 and -17\/275652?\nAnswer: 142512084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233\/42 - 35\/6. Let j = 9917\/5 + -1983. Which is the third biggest value? (a) -4 (b) 127\/5 (c) j (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (19 - 10 - (-3 + 3 + -1))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 9 - 33 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 12342535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(5330\/(-20664) + 2\/7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 121*u**2\/7 + 262*u\/7 + 120.\nAnswer: (u - 14)*(u - 5)*(7*u + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -2\/7 (c) -13\/250 (d) -4 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((5\/5)\/(222\/(-18))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -u - 3*u. Let i be 2\/6 - 980\/u. Let h = 147 - i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 3 + -50 + 40?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 23*p**2 - 6*p + 4. Give i(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19189380 is divided by 838?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 - 10*d - 1. Calculate the least common multiple of 12 and b(-7).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnnx when four letters picked without replacement from nxxnxn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1244 less than 13\/844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**7\/2520 - q**4\/3 + 3*q. Let w(b) be the third derivative of t(b). Let s(u) = 5*u. Give w(s(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/80 and 57\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(0 - (-2 + 1)). Let a(r) = r**2 - 4*r - 8. Let f be a(6). Put g, -0.5, f in decreasing order.\nAnswer: g, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 3*w + 100 = 0, 10819*w = 4*y + 10812*w + 72 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42970*z**2 + 902355*z - 315.\nAnswer: 5*(z + 21)*(8594*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7.40170563443.\nAnswer: 12.40170563443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**5\/15 + 2*l**3\/3 - 2*l**2\/3 + 9. Determine f so that x(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/17 and 42\/251816767.\nAnswer: 251816767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*g - 15 = 3*h, 3*h - g = -3. Suppose h*o - 2*o = 2*b - 250, -4*b - 2*o + 502 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 6:08 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32831 is divided by 767?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = r + 8, 5*d - 5 = 4*r - 1. Let q(z) = z**2 + z - 5. Let f be q(-3). Calculate the greatest common factor of f and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)*p*p*p*p**6*p*p*(p**(-1\/2)\/p)**(-3\/5) assuming p is positive.\nAnswer: p**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219954 is divided by 468.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.98625 rounded to one decimal place?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*o + 20, o - 8 = -4*b - o. Suppose 6*j - 4*j = 2*y + 6, b = 3*j - 5*y - 9. Suppose j*u + 2*u = 250. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 500 - -220. Does 30 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = 0, 0 = 4*i - 2*i - 2*s - 62. Let p be (2\/4)\/(6\/(-180)). Let x = i + p. Solve -j - x = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 172*a + 4717. Determine d(-108).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1647.\nAnswer: 3, 5, 1647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = -25. Calculate the least common multiple of c and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (27 - (15 - 7)). Solve -2*b - 4*l - d = 0, b - 2 = 3*b - 3*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(147))*-2.\nAnswer: -14*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*r**2 - 581*r**2 + 224*r**2.\nAnswer: -165*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2464 (base 8) to base 6\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, o: 10, e: 5}. Give prob of picking 1 v and 1 o.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 688 = -3*c, 4*c - v - 936 = v. Suppose 4*k - 152 = c. Calculate the remainder when k is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - (142 + -60)) + (-6 - -2) + -12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70)*-2*3 - sqrt(70)) - 1*(1*sqrt(70) - sqrt(70)))\/(sqrt(40) + sqrt(360) + 3*sqrt(10)*-2 + sqrt(10)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/15 + 72818*t\/15 - 2040472\/15.\nAnswer: 2*(t - 28)*(t + 36437)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h + 12*h + 77*h - 2288 = -77*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16982 divided by -8491\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 10 = -14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6957, -5, -1\/2 in ascending order.\nAnswer: -5, -1\/2, 6957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 14 = -14*l - 68 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -571 - -0.4.\nAnswer: -570.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(-8) + (-12)\/(-16). Suppose 4*z = 5*n + 17, -z - 5 - c = 3*n. Let t(u) = -u**2 - 5*u - 4. Let d be t(z). Solve 0 = -d*x - 4 - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let n(p) be the first derivative of -110*p**3\/3 - 294*p + 137. Let z(o) be the first derivative of n(o). Determine z(d(t)).\nAnswer: -440*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -644792, 0, -2 in ascending order.\nAnswer: -644792, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4536 divided by -3.\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 - 2*l. Let b be d(-6). Suppose -m + 5*m - b = 0. Calculate the highest common divisor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 24 = 3*q + 15, 9 = 4*q + 5*v for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**3\/(y**(1\/2))**(-3\/16))\/((y**(-4)\/y)**(-2\/3))**48 assuming y is positive.\nAnswer: y**(-5141\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*a = 2*a + 85, -b - a = -85. Suppose -123 = -19*w - b. Solve 4*s + 4*r = 8*s, -5*s = -w*r + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -279424.471 to the nearest 10.\nAnswer: -279420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*t + 635 = 2*l, 2*l - 614 = 4*t. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -10. Suppose 0 = -w + 4*f + 29, -3*w + 5*f - 7*f + c = 0. Let i(g) = -w*g + g**3 - 19*g - 3*g**3. Let a(h) = 2*h. Calculate -36*a(m) - 2*i(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1586*0.3\nAnswer: 475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-14) - ((-42249)\/7 + 0\/10).\nAnswer: 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -84896?\nAnswer: -84896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -14401 at most -11538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6\/11)*i*i**17)\/(((i*i**(2\/13))\/i)\/i**(-18)) assuming i is positive.\nAnswer: i**(43\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*x**4 + 247*x**3 - 162*x**2 wrt x?\nAnswer: 48*x + 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utututmtuuutttmutut. Give prob of sequence ut.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1512 divided by 2\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 10*c = 3*q - 1741, -2*c - 1166 = -2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - 6*y**2 - 7*y - 8. Let v(d) = 9*d**3 - 5*d**2 - 6*d - 7. Let b(g) = 6*q(g) - 7*v(g). Calculate b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let i be 1 - (68\/48 + 6\/(-9)). Which is the nearest to 3\/2? (a) i (b) 3\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - x = -0*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -329, -503, -635, -707, -701, -599, -383, -35?\n\"Answer: 3*j**3 + 3*j**2 - 204*j - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/3 + w. Let x(z) = -9*z - 18. Let l(g) = -10*g - 21. Let n(b) = 6*l(b) - 7*x(b). Determine n(r(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/7)\/x)**(-5\/9)*x**(-2)\/(x**5*x) assuming x is positive.\nAnswer: x**(-494\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*v**6 + 15585*v**4 + 8*v**3 - 4*v**2 + 22284431*v - 2 wrt v.\nAnswer: -16080*v**3 + 374040*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1730673 and 11844?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m = -4*w + 338, 2*m - w - 631 = 0. Let x = -316 + m. Calculate the highest common divisor of x and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750 = -68*m - 32*m - 25*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k = 38*k - 3. Suppose -3*o - o + 40 = 0. Solve 2*x - o = -k*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*s = 5 - 26, -k + 5*s + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14621 and 9?\nAnswer: 131589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195401949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -141, -357, -669, -1083?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyddnppfzzfppnn. What is prob of sequence nffy?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111211201 (base 3) in base 14?\nAnswer: -303c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:08 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4*sqrt(44)*4)**2 - (sqrt(66) - (sqrt(66)*3*2 + sqrt(66) + sqrt(66) + sqrt(66)))\/sqrt(6)).\nAnswer: 8*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4128 - -4132. Calculate the least common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -83, 5, 141, 1 in ascending order.\nAnswer: -83, -3, 1, 5, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 568 - 1273. Is (x\/(-25) + -3)\/(2\/30) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 44659*g + 2 + 44659*g - 2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1639409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -15. Let h(s) = 6*s**2 + 2. Let b(y) = -6*y**2 - 1. Let q(a) = z*h(a) + 4*b(a). Find the first derivative of q(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (-4*6*(-4*-2*sqrt(108) + sqrt(108)))**2)*-6.\nAnswer: -30233072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877, 858, 839, 820, 801?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4214)\/9)\/((-558)\/(-27)). Let r = v + -21\/31. Find the common denominator of r and -58\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33 = -4*p, -b + 5 = -2*p - 6. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-38)\/(h*h\/h**(-2)*h*h**(6\/11)*h) assuming h is positive.\nAnswer: h**(764\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48076600 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -35. Suppose b*j + 20 = -4*j. Let v(i) = i - 2 + 4*i - 3*i - 5*i. What is v(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -4)\/((-2)\/12). Suppose 3*c + g = 3*g + b, 0 = -c - 4*g + 4. Solve 3*w + 1 = 5*y + 4, c*y = 3*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j + 1 - 1 - 33*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.02 - 41. Let j = n + -0.22. Which is the closest to 2? (a) -5\/2 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009207542 to 7 decimal places.\nAnswer: -0.0000921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 22*p + 15. Let f be (8\/6)\/(p\/90). Suppose f*k = 25*k + 2. Which is the biggest value? (a) k (b) -5 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -7 - (-5 - 6)) + -8 - 60 - 1\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240885371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 786254 less than 229417.68?\nAnswer: -556836.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15144 and -0.4.\nAnswer: -15144.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 103 = 4*y, 17*y - 148 = 10*y - 2*h. Solve -8*c = -3*z - 7*c + 1, 2*z + 5*c + y = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/60 - 13*b**5\/60 + 8*b**2. Find the third derivative of l(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + 0.08. Let r = -0.0862 + -0.3338. Let j = s + r. What is the second smallest value in 4\/3, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101101101011110100?\nAnswer: 101101101011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**2 + g + 1. Let h be (-5 + 6)\/(-3 - -2). What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + (66 - 2). Let q = 98 - x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 11. What is q(22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-2) + (-30)\/(-100)*-5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88.96 - 89.3. What is the biggest value in -5, 0, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 17 + 17)*(6566*w**4 - 21496*w**4 + 11210*w**4).\nAnswer: -26040*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/408)\/(313\/(-11268))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9514 + -0.0486. Let i = -3 - -3.04. Let s = 0.44 - i. Which is the closest to -0.7? (a) s (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10234 (b) -3\/4 (c) -0.5 (d) 3 (e) -1\/3 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9025720 is divided by 4696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 14*m + 545. Let n be j(-24). Is -271 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 + 1)\/(-2))\/1. Suppose -3*d - 3*y - 21 = 0, 8 + 0 = -4*d + y. Let g(t) = t**2 + 28*t + 5. Let b be g(-28). Sort d, b, s.\nAnswer: d, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i**12\/i)\/i*i))*i)**(-5)\/(i\/((i*i**(-1\/27)*i)\/i))**(7\/8) assuming i is positive.\nAnswer: i**(-12967\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.02 = -2155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -23 - 8*v + 29\/2*v**2. What is the derivative of d(u) wrt u?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -0.5 (d) 23.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64252, -64056, -63732, -63280?\n\"Answer: 64*w**2 + 4*w - 64320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 3\/4, -0.7576, 3?\nAnswer: -0.7576","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*p = -592*p + 338 + 922 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383881.\nAnswer: 3, 23, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1230952*g**3 - 2*g**2 - g + 22062709?\nAnswer: -7385712*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v - 2*u + 90, 5*v - 4*u - 119 = 0. Suppose v = -4*b + 15. Suppose -2*a - 2*o - 8 = 4, 5*o + 28 = -3*a. Is b less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385412, -384797, -384180, -383561, -382940, -382317?\nAnswer: -381692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2944*l**2. Let y(a) = 38*a. Calculate h(y(j)).\nAnswer: 4251136*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.5, -160, -1.\nAnswer: -160, -5, -3, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-13) + 4\/((-208)\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/24*d**4 + 45*d + 0 + 43\/6*d**3 - 2*d**2. Find the first derivative of p(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:44 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -1.4. What is the second biggest value in m, -0.2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138329993 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -3568?\nAnswer: -27\/3568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(490\/(-21))*(-2344)\/(-6). Let p = a + 84. Factor 0 - 2\/7*y**2 + 0*y + 4\/7*y**3 - p*y**4.\nAnswer: -2*y**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 1. What is the second derivative of 2*s - 4*s + 3*s**i + 4*s + 0*s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111788 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3006055 and 1105?\nAnswer: 51102935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + 22?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/2*(-3)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10705 (base 8) to base 2\nAnswer: -1000111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:11 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 5257.\nAnswer: 757008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421726 is divided by 4055.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/30 and 20\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 22 = 2*t, 0 = -t + 2*t - a + 7. Let q(y) be the first derivative of y**4\/4 + y**3 - 71. Let f be q(t). Solve f = 6*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (7 + (-7 - -4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4577152140 + 0.9.\nAnswer: 4577152140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0889 - 0.0189. What is the third smallest value in -5, 0.03, 1, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 13*k + 35. Let w = -231 - -246. What is d(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vfvw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -640 - -652. Solve s + w = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0243 and 6347021552?\nAnswer: 6347021551.9757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443305 - 1?\nAnswer: -443310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*z + 8*z + 4*i, 2*i - 42 = 3*z. Calculate the remainder when (259\/z)\/(5\/(-50)) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 864, 872, 880, 888, 896?\n\"Answer: 8*x + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 3:49 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/16 and 21\/1544?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1642, 4, -1, -0.1 in increasing order.\nAnswer: -1642, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655381?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*r + 1, -t - 5 = -5*r - 0. Let x(n) = 1 + r - 3 - n**2. Let z(y) = -5*y - 3. Let o(f) = -f - 1. Let k(i) = 3*o(i) - z(i). Determine x(k(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d - 6*d - 265*d**2 + 46*d**3 + 273*d**2 - 3 wrt d?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 185.74?\nAnswer: 182.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 10 = 3*k. Suppose 0 = 2*f + 4*h - 28, -2*f = k*f + 4*h - 76. Factor 3 - 3 - 12*w - f*w**2 - 9*w**3.\nAnswer: -3*w*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686433730 to the power of 1\/3, to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-8)*((-12)\/1)\/((-160)\/(-144))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 34*i**2 - 34*i + 32. Let x be f(33). Let g(t) = 1. Let u(l) = 2*l**2 - 5. Determine x*g(a) - u(a).\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2340, -2344, -2348, -2352, -2356?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 9. Suppose 3*n - 2*d - 25 = 0, n + 2*d + u = -3*d. Suppose -n*p - 20 = -132. Calculate the least common multiple of p and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 150. Let n = v + -17. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qehq. Give prob of picking 2 q and 1 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 33*i - 157. Let m(h) = -98*h + 469. Let w(p) = -14*k(p) - 5*m(p). What is the smallest common multiple of w(6) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.8 times -3503428\nAnswer: -34333594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**8\/840 - o**7\/210 - o**3\/6 - 11*o**2. Let j(u) be the first derivative of z(u). Let j(a) = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9854? (a) -5 (b) 39\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snoksokrwnornoooor. What is prob of picking 1 s, 1 k, and 1 o?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) + -1*((sqrt(88)*-5 + sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88)))\/((3*sqrt(80))\/sqrt(10)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308208680 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3094 divided by -17.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 758194687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**3 - 2*l**2 + 15*l - 41. Calculate d(3).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 - 424\/10. Find the common denominator of (-951)\/(-126) - (-4)\/14 and (-2)\/8 - x\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = -0*j + 175 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8444*k + 731*k - 1339*k - 1168*k)*(1 - 3 - 8)*(0 - 1 + 3).\nAnswer: 204400*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/12 - x**2\/2 + 2*x. Let f(r) = 7*r**2 - 2. Let p(i) = -8*i**2 + 3. Let y(l) = -5*f(l) - 4*p(l). Give 2*q(m) - y(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -151, -354, -617, -928, -1275, -1646?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 856916*h**5 + h + 140998 wrt h?\nAnswer: 17138320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o**5\/5 - 988*o**4 - 7138*o**3 + 4712*o**2 + 17088*o\/5 = 0. What is o?\nAnswer: -267, -8, -4\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 3, h: 3, b: 8}. Give prob of picking 2 v and 2 o.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8323*o + 3978403. Calculate g(-478).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 220*n*q**3 - 4*q**3 - 32*q wrt n?\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4\/7))\/(p**(-1\/9)\/p*p*p*p)*((p**(9\/2)*p*p)\/p)\/(p\/(p\/p**(-8))))**(-2) assuming p is positive.\nAnswer: p**(-1517\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -2*i - 2\/3*i**3 + 0*i**2 + 0. Let o(d) = d. Calculate o(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 45 = 21*c. Suppose 2*a - 11 = 5*h, -7 = -5*h - 2. What is the lowest common multiple of c and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 12. Suppose p*n - 3*q = 865, 0*n - 4*q + 900 = 4*n. Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g + 3. Let s(y) = 22*y - 4. Calculate -7*f(q) - 5*s(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 5*l - 2*y, -176 = -2*l + 3*y + y. What is the remainder when l is divided by (-34)\/5*((-3)\/(-2) - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -54*y = -53*y - 5. Solve y*j - 5*f = 10, -2*j + x*f - 4*f + 8 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 2*f + 13*f - 6*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.3235 from 0.101.\nAnswer: -1.2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 less than 4.57?\nAnswer: -843.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)\/(7\/7). Let p = 10 - 11. Let w be (p\/(-10))\/((-10)\/12). Is w != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {b: 1, k: 2, c: 2, z: 1, g: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Suppose -5*q = -a, -5*c - 2*q = -c - 10. Suppose 16 = 2*i + 2*p, -3*i - 3*p = -2*i - 18. Solve -2*g = -0*g - i*n + 10, 5*g = -4*n - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + 5\/(-7). Let w be y*(1 - 0)*-8. Suppose 0 = 5*c + 4*o - 24, -3*c = 2*o - 5 - 9. Solve w*u - c*u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 812, 1817, 3222?\nAnswer: 5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/107 and 44\/535?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33716101?\nAnswer: 33716101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060564 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13.8, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-9) - (-1900)\/36.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/45 and -99\/14110124.\nAnswer: 634955580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3840\/(-25))\/12*(-770)\/616?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1088)*-1.\nAnswer: -8*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**3 + 3*y**3)*(1 - 3 + 4) + ((2 - 1 + 1)*(5*y - 3*y + y) + 5 + 2*y - 5 - y + y - 2*y)*(3*y**2 + 0 + 0).\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12190.25429 rounded to zero dps?\nAnswer: -12190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110094961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*o**3 - 369*o**2 + 11*o**4 - 10*o**4 + 88*o**3 + 85*o**3 + o**4 + 2 as j + z*o + b*o**3 + s*o**4 + h*o**2 and give h.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(176) - (sqrt(176) + sqrt(176)*1)) + -5 + (sqrt(176) - (-1 + sqrt(176))) - (sqrt(176) + -5*(sqrt(176) + 0))*-2) + -4)**2 + 5.\nAnswer: 832*sqrt(11) + 29813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (124\/(-6))\/(68\/(-204)) is divided by 44\/6 - (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g + 7. Let x(a) = 5*a - 3. Suppose -4*u + 4*k = u - 50, -2*u - 5*k - 13 = 0. Let p(m) = u*o(m) + 13*x(m). Differentiate p(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.832 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*o + 213*o + 108*o)*(-2*o + 4 - 4).\nAnswer: -490*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1629, -1669, -1709?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 76*v - 76*v - 163718*v**3 + 3*v**2 - 5*v**2 + 163712*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-176)\/(-10) - -7*(-14)\/(-49))*-16000. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(6292) - (sqrt(6292) - sqrt(6292)*2)) + sqrt(6292))\/(2*sqrt(64)*-4).\nAnswer: -121*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 18474542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(4\/16*4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*w + 496*w + 37310 + 6370 = 0 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 16*l - 3. Let o be j(-3). Is o > -16\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 482, -4, 0, -2, -5 in descending order.\nAnswer: 482, 16, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5680807*a**2 + 5680804*a**2 - 11361599*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 115*f**2 - 29*f - 1. Let j be l(-29). Put 0.3, j, 0.039 in descending order.\nAnswer: 0.3, 0.039, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwwnwnnnwwwwwwnnn. What is prob of picking 1 w and 1 n?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1153 rounded to 3 dps?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 8) to base 13\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29888981 and -0.08?\nAnswer: 29888980.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12786246 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/30 + 7*a**4\/8 + 2*a**3 - 3*a**2 + 8. List the prime factors of v(-16).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-9 + -7 + 20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, r: 9}. What is prob of sequence rre?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3928 is divided by 1295?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21511.8 + -21512. Let x = 0.05 - -1.55. Let v = 0.4 + x. Which is the smallest value? (a) -1.8 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -2, -32, 4 in increasing order.\nAnswer: -32, -7, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 62 = 12*q. Solve 6*k = 5*k - q*n - 1, -4*k - 4*n - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 40 = 4*c, 0 = 4*f + 24*c - 26*c - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 3*n - 6*i - 17, 0 = 4*n - 18*i + 98 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 155*h**2 + 101*h - 47. Calculate d(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7178 + 7921. Calculate the remainder when y is divided by 64.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + ((-108)\/378 - 58\/(-7)). Let q(i) = 5*i**2 - 6*i + 1. Let w(u) be the first derivative of -4*u**3\/3 + 5*u**2\/2 + 2. Give m*q(f) - 3*w(f).\nAnswer: 2*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -269*f. Let o(j) = 2157*j**2. Give c(o(n)).\nAnswer: -580233*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1 + 6*t - 4*t - 3*t. Let c be j(-2). Factor -20*u**4 + 12*u**2 + 5*u**c + 17*u**4 - 2*u**3 - 12*u.\nAnswer: -3*u*(u - 2)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31674 + -5?\nAnswer: -31679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 163.2. Let b = 24 + u. Let p = 7.8047 - b. Round p to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 24*y + 3. Let c be o(10). Let q = 117 + c. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = 110*r - 111*r, 4 = 2*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 224\/10 + (-4)\/10. Suppose 0 = -2*t - t - 5*m + n, -3*t + 2*m + 8 = 0. What is the second derivative of -2*j**4 - j**t - 2*j + 6*j**4 wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 530*d - 260*d - 6*d**2 - 269*d + 0*d**2 + 3*d**2 + 1403*d**4 in the form p*d + f*d**2 + t*d**3 + c + b*d**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*q = -90, 5*v + 65 - 187 = -q. Let -19*c - 3*c - 4*c**3 + 2*c - v*c**2 + 0*c = 0. Calculate c.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*t - 125*t - 3*m + 21 + 40 = 0, -3*m = -3*t - 57 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -6*sqrt(7)*4) + 0.\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -67*u + 10. Suppose -4*a + 50 = 3*i - i, 10 = -i + 5*a. Let l = 8 - i. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 divided by -68?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79057168771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3774 is divided by 126.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7261234 is divided by 1978.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 10) to base 9\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**5)**(23\/3) assuming h is positive.\nAnswer: h**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64961353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2. Let k(g) be the third derivative of 19*g**5\/60 + 6*g**2. Let l(c) = 3*k(c) - 8*m(c). Let r(h) = h**2. Calculate r(l(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4132 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79862549 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13541 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -7. Let r = 17 + -9. Let c(k) = 4*k - 1. Let l(p) = -5*p + 8. Let n(d) = 11*d - 15. Let o(s) = 11*l(s) + 6*n(s). Determine i*o(v) + r*c(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 165 = -4*t, 2*t - 3*r - 62 = 43. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*m + 995*m + 63 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4756.5 + 4756. Which is the smallest value? (a) 1\/3 (b) 2\/45 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 29*x - 1. Let s(l) = 139*l**2 + 1383*l. What is s(p(k))?\nAnswer: 116899*k**2 + 32045*k - 1244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:06 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6)*(-1)\/1)\/((-2310)\/(-1260))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3915 is divided by 304?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -l - 4*g + 5*g, -2*g = l - 201. Let d = l - 203. Factor 0*w**d - 1\/2*w + 0 + 1\/2*w**3.\nAnswer: w*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbu when three letters picked without replacement from bbruptpprrtprbbrrbpt?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3 - 432225*m**2 - 3458220*m + 8645300 = 0?\nAnswer: -10, 2, 86453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 789508155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*t = -44*t - 500. What is the greatest common factor of 150 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 1, c: 1, m: 2, n: 1, j: 2}. Give prob of picking 1 t, 1 j, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -19 - (-34 - -11 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(448) + (-2 + sqrt(448))**2.\nAnswer: -24*sqrt(7) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/((-3420)\/(-2679)) - -35.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.044 + -4.056. Let l = q + 3.7. Let v = -10\/21 + -6\/7. Which is the closest to 2? (a) -0.1 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 - 9*x - 4. Let y(b) be the first derivative of -20*b**3\/3 + 13*b**2 + 11*b + 7. Calculate 6*y(u) + 17*z(u).\nAnswer: -u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232444 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -7*z**4\/24 + z**3\/2 - 4*z**2. Let y(f) = 3*f - 20*f + 8 - 3*f. Suppose a - 16 = -0*a + s, 5*s = -10. Give a*x(g) - 5*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.12 - -0.12. Let q = 102 + -175. Let w = -73 - q. What is the nearest to 0 in 1.3, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06234 * 6.3.\nAnswer: -0.392742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b36 + da?\nAnswer: -8a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -23. Let p be (4\/d)\/((-1)\/(-26)). Let q = p - -8. What is the third smallest value in 3\/7, 0.2, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 429, 1441, 3153, 5571, 8701, 12549?\n\"Answer: h**3 + 344*h**2 - 27*h + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(24)\/sqrt(6))*5)\/(3*sqrt(196)*-4).\nAnswer: -5*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:30 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 8:01 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssf when three letters picked without replacement from {s: 2, h: 1, e: 1, w: 1, f: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, q: 3}. Give prob of sequence qooo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3503*g - 8188 = 1806*g + 1875*g for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.3197l to millilitres.\nAnswer: 381319.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {c: 4, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.11 + -4.4. Let o = -59 - f. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 44. Let u(k) = 2*k - 4. Give u(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 3*t - 4. Let m(c) = 7 - 8*c + 4*c - 3*c. Let y(a) = -a + 1. Let l be (13\/(-26))\/((-1)\/(-2)). Let i(j) = l*m(j) + 6*y(j). Give -3*i(v) + p(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*b = 70 - 12, -5 = -3*b - 5 + 12 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3051 - 5597. Let t = 4483 + q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13266 and 63.\nAnswer: 92862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2173*r - 798 + 336 = 1711 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*p + 60120008, 195*y + 120239994 = 197*y - 3*p. Round y to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 - m**3 - 2935005*m**2 + 612*m + 9779?\nAnswer: -12*m**2 - 6*m - 5870010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 7) in base 9?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 18. Let y = j + -7. Suppose -5*z = -y*i + 120, 5*i + 3*z - 68 = 3*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (3 - 4)*-1835. Suppose -2*n - 3*i = -t, -2*i = 4*n + 2*i - 3688. Suppose -3*u + n = x - 578, -5*x + 483 = u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(-1 + sqrt(208))*-6 + 1.\nAnswer: -96*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 8 + 24. Let l be (4 - 38\/p)*-4. Let o = -12 + 16. What is the closest to 2 in o, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 = 41*w - 84 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1708081938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 45891439.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 430\/13 (b) -5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, r: 4, m: 8}. What is prob of sequence rhrh?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/70 and 121\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3084.2874 seconds?\nAnswer: 0.8567465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35645, -4, -0.3 in increasing order.\nAnswer: -5, -4, -0.3, 35645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/3)\/t)\/t)**4*t**(-4)*t**(-1\/2))\/((t\/(t**(3\/8)\/t)*t)\/t**4*t**(-2\/13)\/t**(1\/3)) assuming t is positive.\nAnswer: t**(-4151\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/(l\/(l**(-12\/13)\/l)))**(-30) assuming l is positive.\nAnswer: l**(7200\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4410 and 4998?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19147 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 222465*k**2 - 198 + 222470*k**2 in the form s + q*k + a*k**2 and give s.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 n when four letters picked without replacement from hunnnuhhuju?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.754 to 1 decimal place.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-49.0352.\nAnswer: -196.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 35.7?\nAnswer: -13.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, -46\/5?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.3. Let c = m + 3.5. Let l = -424389.4 + 424389. Put c, -4, l, 1\/2 in descending order.\nAnswer: c, 1\/2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -152979179 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 216*x - 221*x + 128, 0 = -6*c - 2*x + 296. Solve 8*r = -19 + c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/96*92 + 6\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + 342e?\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8581 (base 14) to base 8.\nAnswer: -55005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 + 2*b - 4. Let t(q) = q**2 + 1. Let w(l) = -m(l) - 4*t(l). Let h be w(2). Find the third derivative of f**3 + 4*f**2 + h*f**3 - 5*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/899 - -58423\/2697. Find the common denominator of q and 85\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6870108 and 242760.\nAnswer: 68701080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(66)\/sqrt(6)))\/((sqrt(192)\/sqrt(6))\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/50*(-17)\/(1088\/80)*-3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**3 + 41*n**3 - 71*n**3 - 4*n**2 + 6423.\nAnswer: -n**3 - 4*n**2 + 6423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:43 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 4*x - 2*x - 3*x - 782 + 815 + 20*x.\nAnswer: 2*x + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576993 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8428*h - 8330*h = 4998 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 7*j + 4. Let r be m(-6). What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -51*w - 14. Let p be s(-8). Let d = -201 + p. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let c(d) = 23*d - 3. Let t(r) = 10 - 2 - 17*r - 6*r - 4. Let y(n) = -4*c(n) - 3*t(n). What is y(s(f))?\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1581160 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0330332 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49874 (base 11) in base 12?\nAnswer: -35520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(931) - 2*sqrt(931)) + (sqrt(931) - (-4 + sqrt(931) + sqrt(931) + -1))*6 + -1)**2.\nAnswer: 5684*sqrt(19) + 183317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2935 in -2\/19, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 453938998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 10*d**2 + 4*d - 9. Suppose -4*v + 52 = 5*l, -6*l + 17 = -2*l - 5*v. Let k be n(l). What is the units digit of 7\/(k\/(-12))*15\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*x**2 - 145*x**2 - 468*x + 214*x + 212*x.\nAnswer: 504*x**2 - 42*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -5700*g**2 - 6. Let s be v(-1). Suppose 3*j = 6*j + s. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-120)\/16)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 + 7*u**2 + 31*u**2 + 35*u**2 + 2.\nAnswer: 63*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 393878 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(3*(-1)\/(-6)). Let k = t + -3. What is the tens digit of -20*k\/2*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 141, -4\/15, 341\/74?\nAnswer: 341\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*173726\nAnswer: 694904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3024 = -3*p - 8028, 0 = f - 3*p - 5529. List the prime factors of f.\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11377937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13500, -27237, -40974, -54711, -68448?\n\"Answer: -13737*r + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*h + 35 - 103, 5*z - h = 147. Let y = -28 + 136. Suppose 3*l = -24 + y. Is l <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 37*q**2. Let f(v) = v**2. Determine 2*f(h) - m(h).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259\/244 - 1569\/1708. Let y = -10.6 - 1.4. Let q = y - -7. What is the nearest to -0.05 in 1, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-49)\/p**(-12)*p**(17\/2)\/(p*p*p\/(p**(2\/7)\/p)*p) assuming p is positive.\nAnswer: p**(-465\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14058 is divided by 3452.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -11*f**4\/8 - 8*f**2 - 4. Let o(r) = -r**2. Determine o(t(g)).\nAnswer: -1089*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -129.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.61 + -0.09. Let d = -3340 - -3341. Let y = -17\/2 + 8. What is the smallest value in y, d, 2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -801 + 1638. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68.7 + -69. What is the closest to -2\/7 in 0.3, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.2, -1, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b. Let d(a) = -7*a**3 + 8*a**2 - 2*a + 9. Let p(y) = d(y) + 6*k(y). Let n be p(7). Suppose 10 = n*m + 3*m. Solve 0 = u + m*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*l - 5*a, -3*l - 4*a = 0. Solve f + 7*g - 20 = 3*g, l = 5*f + 2*g - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 7 - 7*k**2 + 7 + 13*k**2 to t*k + n*k**2 + g and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -799*p**3*s**2 + 4421*p**2*s**3 - 127*p*s**2 + 6*p*s - 16*s**3 + 505 wrt p.\nAnswer: -4794*p*s**2 + 8842*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447658 is divided by 55940?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-22) + 1 + (-124)\/682?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 9\/(-15))*5. Let c(u) be the second derivative of 2*u - u**2 + 1\/12*u**4 - 1\/6*u**b + 0. Determine n, given that c(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550375779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7 and 371.1.\nAnswer: 369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 1063 - 494)*(0*x - 14 - 3*x + 9).\nAnswer: 4524*x + 7540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 505*f**4 - 225*f**3 - 28809*f + 1?\nAnswer: 6060*f**2 - 1350*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76155.3262 * -0.2.\nAnswer: -15231.06524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - 7845?\nAnswer: -7834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 0 - (-1880 + 1864) - -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -6359998?\nAnswer: 31\/6359998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5972000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55534 = -104*t + 26002. Solve -766 = -3*l - t for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-2))\/(12\/(-42)). Suppose 3 = m + u. Let k(d) be the third derivative of d**4\/24 + 3*d**3\/2 - 3*d**2. Give k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 7*l**4\/12 - 2*l. Let t(x) = 2*x + x - x. Determine t(g(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 8*n + 17*n - n**3 + 9.\nAnswer: -n**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**8\/28 - p**6\/30 - 7*p**4\/12 + p + 3. What is the third derivative of b(m) wrt m?\nAnswer: -240*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790600 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 194*s**2 + 2569*s + 8820.\nAnswer: (s + 7)**2*(s + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40719777?\nAnswer: 3, 7, 17, 167, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -715963\/5 + 143193. Let 0 + 4\/5*l - v*l**2 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 11) to base 9\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let w(q) be the third derivative of 17*q**5\/60 - q**4\/24 + q**3\/6 - 11*q**2. Is w(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163453 and 596.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -p + 7, 4*p = 131*h - 135*h + 64 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 15*a**2 - 25*a - 13. Let y be k(13). Let o = 11 - 9. Solve -4*b + 5*b - o = y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/400 and -53\/40.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320774 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 24. Let r be (56\/b)\/((-4)\/(-6)). Suppose r*u = -4*i + 3*u + 59, -3*i - 5*u + 57 = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -2, 25, 76, 157, 274?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -778*w**2 + 5446*w - 56. What is t(7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1154 - -7?\nAnswer: -114b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 19*j**2 - 224*j + 38. Let g be m(-28). Which is the biggest value? (a) 2 (b) g (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 56. Let c = v - -28. Let k(i) = 9*i**2 - 3*i + 9. Let g(n) = 5*n**2 + n + 0*n - 4 - 2*n**2 - 7*n**2. Determine c*g(z) - 3*k(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6163796 divided by 4.\nAnswer: 1540949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*d - 531111 + 133206 = 0, 5*g - 397945 = -3*d. List the prime factors of g.\nAnswer: 2, 13, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -26. Is (-12)\/(-3) + (i - -20) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 656082 by -7.\nAnswer: -93726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, b: 3, s: 1, e: 1}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33 + 33 + 24*w**4 + (5*w - 11*w - 13*w)*(-2*w**3 + 0*w**3 + w**3).\nAnswer: 43*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 508395?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25690362?\nAnswer: 2, 3, 683, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4023 - -40?\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/62282 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-4) - 2) + 49\/(-14). What is the closest to -1 in p, -3\/8, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (4 - ((20 - 9) + -4 + 3)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + 0.26. Let l = d - -0.7. Let h(k) = k**3 + 7*k**2 + 7*k + 6. Let z be h(-6). What is the nearest to -3 in l, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001929 to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 - h + 5*h**3 - h**3. Let j be k(2). Let v = j + -1. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71 and -34.\nAnswer: -2414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00977 to 4 dps.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2955831 is divided by 422233?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15\/(s*s*s*s\/(s\/(s\/s**1)))*s**(-2\/41)\/(s*(s*(s\/(s**14\/s))\/s)\/s*s) assuming s is positive.\nAnswer: s**(941\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -484, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**3 - 4187356*q**2 - 96851814 wrt q.\nAnswer: 9*q**2 - 8374712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 26*p. Let v(z) be the third derivative of -z**6\/180 + 23*z**3\/2 + 140*z**2. Let j(h) be the first derivative of v(h). Determine j(i(t)).\nAnswer: -1352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.029 + -0.329. Sort -1\/8, g, 4, -0.07 in decreasing order.\nAnswer: 4, -0.07, -1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -105?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191.8 + -192. Let z = -6.06 - -6. Let l = -0.46 - z. Which is the third smallest value? (a) -9 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7667.99 + 7668. What is the nearest to f in 4, 1\/17, -2\/7?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 - 17 = -5*r, -a = -4*r + 22. Let n be 9\/(-2)*6\/9. Let j(l) = -l - 5. Let f be j(-4). Put n, r, f in descending order.\nAnswer: r, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3406*s - 296 = -3443*s. Calculate the smallest common multiple of 1740 and s.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/27, -6, 0.4, 10, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 3*y - 3*y)*(2*y - 6*y + 3*y) + 2 - 2 + 2*y**2 + (-2 - 2 + 6)*(3*y + 5*y**2 - 3*y) + 19*y**2 - 8*y**2 + 6*y**2 to s*y + b*y**2 + m and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 7. Let n(f) = -f - 3. Let c be n(s). Suppose 5*a - c*a - 6 = 0. Solve 2*g = -a, 21 = 4*y - 0*g - 3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {x: 1, z: 2, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 15, 4*o = -3*b + 2*o - 7. Let g be 6\/(-21) - (0 + b\/(-28)). What is the biggest value in -1\/2, g, -5\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188540*f - 188119*f - 842 = 0. Determine i so that -40\/7*i + 48\/7 - 20\/7*i**f + 2\/7*i**4 + 10\/7*i**3 = 0.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + 41. Suppose 0 = 4*q - 71 - w. Let h = -11173 + 11185. What is the greatest common divisor of h and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 1. Let d(h) = 1127*h - 341. Let v(u) = 2*d(u) - 8*o(u). What is the derivative of v(z) wrt z?\nAnswer: 2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66475188 by -1257.\nAnswer: -52884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1319904 by -4.\nAnswer: -329976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9856*d + 3645*d + 6207*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489494096.3 rounded to the nearest one million?\nAnswer: -1489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4 - 15*y**3 - 64*y**2 + 180*y = 0.\nAnswer: -5, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 12.6.\nAnswer: 21.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*d + 608713, 22*x - 18*x = -d + 152194. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 98*i**2 - i - 1. Let t be b(1). Let j be ((-3)\/(0 - -3))\/((-4)\/t). Suppose -19*r + 25*r = j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112977, 112781, 112585, 112389, 112193, 111997?\n\"Answer: -196*c + 113173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -207, -277, -347, -417?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404359175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11443*c**2 - 31*c + 1. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*v - 5 = -6*l, -4*l + 28 = -4*v. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5713 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22\/(-33))\/((-24)\/(-19575)). Let f = 544 + b. Let t = -179 + 891\/5. Sort 2, t, 0, f in increasing order.\nAnswer: t, 0, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 - 294 - 116)*(-30 - 21*m + 30) in the form p + t*m and give t.\nAnswer: 10206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (160\/288)\/(1\/(26\/(-4))) and -23\/342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 5)\/(10 + -12). Solve q = -3*s + 13, -5*s + 9 = -o*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:11 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*350\/60 - 25 - (-35)\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36518*g*u**2 + 28325*u**2 wrt g?\nAnswer: 36518*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 7*u**2 + 7*u + 5. Let z be y(-4). Suppose 4*s - z = 303. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*u = 61849 + 48003 for u.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - 62 - (10 + -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/19 + 14*w**2\/19 - 140*w\/19 - 800\/19 = 0.\nAnswer: -10, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.17 - -35. Let w = -0.170042 - l. What is w rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - (87 + -53)) + 26 + 2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -19009*c - 1539710. Determine n(-81).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 35*m**2 - 1351*m + 126. Give o(23).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2128812.\nAnswer: 2, 3, 7, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8673294 and 4336647.\nAnswer: 8673294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*k - 203*k + n + 8, 0 = -3*k - n + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -63*a - 3. Let h(c) = 2*c. What is x(h(m))?\nAnswer: -126*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**3 + 587*u**2 - 6*u. Let a(i) = 3*i**3 + 294*i**2 - 3*i. Calculate -13*a(n) + 6*k(n).\nAnswer: -3*n**3 - 300*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -108, -493, -1420, -3129, -5860, -9853?\nAnswer: -15348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, q: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 8) to base 3.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**25*w)**(-2\/117)*(w**(-1\/15))**(4\/27) assuming w is positive.\nAnswer: w**(-2572\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2664491 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1 + 0 + -2. Let r(j) = j + 7. Let v be r(x). Suppose -4*g - 2 = -62. Solve 36 = -5*l + 4*b + g, 2*l - v*b = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from ddddddddvvd?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + c - 326 - 912, -2*f - 1238 = 2*c. Is -619 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + v + 11 = -4*v, -3 = w + 3*v. Let y be (-3 + 33\/w)*21. Let q(h) = -3*h**2 + h**3 - 10*h**2 - 1 - 5*h**2 + y*h**2 + 2*h. Determine q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/205 and 44\/3.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1561 - -1416?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-1560)\/15)\/34840?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183600 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 220258?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -20. Suppose -5*p = l + 19. Let q = 21 + p. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 42 - 4)*(2 - 2 + 11*z).\nAnswer: -825*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 23 + 36 = o, 0 = 4*r + 4*o - 76. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 223488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*16\/15600*26?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3584727931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/497070 and -127\/497070.\nAnswer: 497070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(3))**2 + (sqrt(36)\/sqrt(108) - sqrt(3)) + -3 + (sqrt(48) - sqrt(192)\/sqrt(4)).\nAnswer: -3 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6605 and 29635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/(-90) - (-2)\/(-10). Let s be 2\/((-10)\/(1 - -4)). Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-14)*1\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 + 527165*d**4 - 69475997888*d**3 + 69475470724*d**2 = 0. What is d?\nAnswer: 0, 1, 263582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -67\/4 (c) 3.1 (d) -0.3 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8598 smaller than 8571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 334576565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202120 + 1?\nAnswer: -202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 + -1 + 10 + -7 + -9 + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 + 3*j - 4. Suppose 0 = -4*u - 2*u + 6. Let n(x) = -x + 1. Let v(f) = u*t(f) + 3*n(f). Determine v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30343*a**3 - 85755*a**2 wrt a?\nAnswer: 182058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-10)\/(-4) + -1. Let a be f\/(-4)*2\/(-3). Let q = -3345 - -3350. Sort 0.5, q, a in decreasing order.\nAnswer: q, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2)*(11 - 12) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8086*u - 8109*u + 16195*u + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n - 94*n + 45*n.\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117181, -234362, -351543?\nAnswer: -468724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 10*h + 12. Let r be z(-9). Let k be 2 + (-24)\/28 + 12\/(-21). Which is the closest to k? (a) 1 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-273*v**2 + 284*v**2 + 1 - 2*v + 5*v)*(-6 + 2 + 1)*(1 - 3 + 4) in the form l*v**2 + p*v + x and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g + 62*g = 120 + 177. Let m(o) be the second derivative of 3\/2*o**2 + 0 - 29*o + 1\/3*o**g. Calculate m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1287 - 0.0648.\nAnswer: 1286.9352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3425 is divided by 1120.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1474638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/30)\/(-4) - (-6)\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4676*b + 2104218. Give c(450).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -446 + 642. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**5 - 3867*j**4 - 7755*j**3 + 11595*j**2 + 30972*j + 15492 = 0?\nAnswer: -2, -1, 2, 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093664869 to 5 dps.\nAnswer: 0.09366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2657914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (0 - 9)*635\/(-1905).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:41 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 123 - 108 + 249 + 11*l**2 - 12*l**2 + 5*l - 6*l in the form h*l + p*l**2 + s and give s.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*r + 2*r. Let y(o) = o - 6. Let p be y(r). Is 2 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 6*y - 1 - 1)*(y**2 - 3*y**2 + 0*y**2) - y**3 - 3*y**3 + 2*y**3 as n*y**3 + p*y + o*y**2 + r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) -1\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -411 + 492. What is the second smallest value in 2, -3, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111*-93\nAnswer: -10323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 118424 divided by 904?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*k - 3568, 5*a + 6*k = 3*k + 4454. Suppose a = 3*y - 1016. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r - 41. Let s(q) = -3*q + 8. Let g(d) = 4*h(d) + 22*s(d). Suppose 3*u - 18 = -0. Let b be g(u). Solve b*i + i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = r - 1, -15 = -3*v - 4*r. Let b be (-65)\/(-20) - v\/4. Factor 0*w + 0*w**b + 2\/5*w**4 + 0 + 0*w**2.\nAnswer: 2*w**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 9*r = 12. Let k = -0.8 + 5.8. Which is the biggest value? (a) k (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 - -3*(-2)\/3. Suppose s = f - 6*f. Let k be f\/12 + 18\/8. Solve 4*c = -a + 5*a - 8, k*a - c = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 462 = -65*p + 6 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*f + 76*f + 537*f.\nAnswer: 700*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a - 10*a - 3*a. Let h(g) = 5*g**2. Determine h(q(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*h. Let m(o) = 2*o**2 + 2*o + 5*o - 4*o + h. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:00 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 - 124656619*o**2 + 202308656*o wrt o.\nAnswer: -12*o**2 - 249313238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times -0.06?\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -190506300 rounded to the nearest one million?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**38\/((b*b*((((b*(b**(-4)*b*b)\/b*b*b)\/b)\/b*b)\/b)\/b)\/b))\/(b**(-8\/11)*b\/b**(-8)) assuming b is positive.\nAnswer: b**(349\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 4*t**2\/5 + 38*t\/5 - 8.\nAnswer: -2*(t - 5)*(t - 1)*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 7*m - 4*m + 22, 5*j = -3*m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1230 - 27*o - 1230.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {b: 2, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -34. What is the third biggest value in y, -3\/2, -2\/21, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 13 + -8 + 1118036\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 8226?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, 34, 0, 1\/12, -4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6))**16)**(-3) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l. Let j(n) = 23*n. What is f(j(p))?\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(57)\/sqrt(3) - sqrt(19))*-2)**2 + sqrt(19)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 4*c - 3*l = -90, 5*c + l = -123 + 241 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + -156.7. Let i = q - -104. Let r = i - -51.29. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932522 is divided by 483128?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)*(-3 + 9). Let j = -7 - a. Let u be -1*(-2 + 2)*j. Is 2\/17 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 4, -4, -3, -34 in ascending order.\nAnswer: -34, -4, -3, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210 = -8*j + 16*j - 2098 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18889.9 rounded to the nearest one hundred?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -0.4253?\nAnswer: 0.2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615292 is divided by 586?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2740650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-14) - 39\/91.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/105 - l**6\/30 + 2*l**5\/15 + 2*l**4\/3 + 7*l**2. Find q such that j(q) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2364*o**5 - 1069*o**2 wrt o.\nAnswer: -141840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 2*f + 1. Suppose -2*c = 2 + 2. Calculate the smallest common multiple of (5 - 3) + -1 + 7 and u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhl when three letters picked without replacement from {h: 5, l: 8, i: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11576747 is divided by 826908?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 220329338 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1832, -1826, -1806, -1772, -1724, -1662?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011010010 (base 2) to base 8.\nAnswer: -6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 870340 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:39 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 6 = -36 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18444 - -1217. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 5*i + 5, -32*i = -2*d - 30*i + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 288.017+-17\nAnswer: 271.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305671 (base 9) in base 15?\nAnswer: -1989d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*z**2 + 0*z + 0 + 4\/7*z**3 + 2\/7*z**4.\nAnswer: 2*z**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -5 + -6 + 6 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i**4 - 1230994*i**3 - 307720*i**2 + 4308454*i - 2769732 = 0.\nAnswer: -153874, -9\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03812 + 0.23812. Sort 4, l, 1109 in increasing order.\nAnswer: l, 4, 1109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -80, -5, 15, -51, -2 in ascending order.\nAnswer: -80, -51, -5, -3, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718 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: Suppose 0*k - 18 = -2*k. Let x = k - 4. Solve 0*z + x = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42392 + 306?\nAnswer: -42086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 3*g**2 + 0*g**2)*(-3*g**2 + 6*g**2 - g**2) + 5*g**2 - 2*g**4 - 5*g**2 + (-3*g**3 - 8*g**4 + 3*g**3)*(-4 + 4 + 2) - 2 + g**4 + 2.\nAnswer: -15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 40. What is t(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 6004 - g**2 + 3129 + 15*g + 2981. Calculate z(15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 3956495971.\nAnswer: 3956495970.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2248 = 4*a + 5*k + 20273, -k - 22547 = 5*a. Round a to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 9. Let k be v(-11). Find the second derivative of 0*g - g**2 - k*g**2 - g**2 - 3*g wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -813, -816, -819, -822, -825, -828?\n\"Answer: -3*k - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -3\/8*l**4 + 0 - 2*l**2 + 0*l**3 - 97*l. Let m(w) = 27*w**2. What is m(s(v))?\nAnswer: 2187*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5 + 4*y + 5 - 4 + 1. Let f be k(9). Suppose 7 = -3*s + f. Calculate the highest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3893, 13291, 33693, 70601, 129517, 215943, 335381?\n\"Answer: 917*s**3 + 2979*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -4*a - 43, 20864 - 20826 = -4*a + 2*j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - 2*p, -i = -p - 2 + 3. What is the second derivative of 4*y**2 + i*y**5 + y - 4*y**2 - 2*y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1365)\/(-550) - 0 - (-2)\/(-11) - 4045\/1618?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 1, w: 6, y: 5, r: 4}. What is prob of picking 3 w and 1 y?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Calculate the common denominator of (-189)\/(-30) - (g - 0) and 49\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036998 rounded to 5 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14) + 680\/714.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55990233 and 1534.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-1)\/2)\/((-40)\/(-120)). Suppose -5*n + 5*c + 4 = -21, 0 = -2*n + 4*c + 20. Are n and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*g + 445*g + 35 - 188*g.\nAnswer: 25*g + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1243706 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 558 and 90?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 10:34 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 45?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -2. Suppose -f - 14*j + k*j = -5, 0 = 2*j. Let l(n) = 3*n**2 + n - 7. Let x(t) = -t**2 + 1. Calculate f*x(i) + l(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54590247 a multiple of 1173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.6\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16 + 32*g + 25*g - 49*g. Let a be t(4). Suppose -3*l - 3*b + 39 + 0 = 0, -5*l + 2*b + 72 = 0. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36750b (base 12) to base 5.\nAnswer: 211234424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 + 7)*-5 + (53 - 50).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*i + 2, 4*d + 56*i - 53*i - 24 = 0. Suppose -l + 2*q = -0*q - 15, -2*q - 5 = l. Let w = -1 + l. Sort d, w, -2, -4.\nAnswer: -4, -2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 9*d + 2. Calculate f(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:37 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/6 + 4*q - 10. Let z(y) = -82*y**2 + 2. Determine z(a(b)).\nAnswer: -328*b**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 5, -182, -593, -1306, -2399, -3950, -6037?\n\"Answer: -13*u**3 + 5*u**2 + 35*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 132. Suppose 2*o = -o + f. What is the remainder when 30 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510477 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 29*m**2 - 39*m - 59. Give z(-27).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:03 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -236265 and -236380 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13\/13)\/((28\/21)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 63*x**2 - 648*x + 3. Determine o(11).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -13*c - 85. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-748)\/55)*(-396)\/(-630)*4\/33.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/5))**23*(z\/(z*z**20))\/z**21 assuming z is positive.\nAnswer: z**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002562.\nAnswer: 2, 11, 199, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-14 - (-34 + 24)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) + (sqrt(12) - sqrt(36)\/sqrt(3)) - sqrt(12))*-3)\/sqrt(4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.12. Let z = 0.38 - h. Let i = -0.4032 + z. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -6\/19, -6, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 144093.\nAnswer: 288186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-11 + 78 - (45 - 45))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000528999 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7105*n - 910*n + 210630 = 0 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7*d + 2)*(11 + 0 + 2)*(721*d - 2 - 545*d + 1) to g*d**2 + c + u*d and give u.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*u - 4, 3*h + u - 6*u = -17. Let f be ((-775)\/(-20))\/(4\/(h*160)). What is f rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4733758\/35 and -135249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47\/3*d**2 - 103823\/9 - 2209\/3*d - 1\/9*d**3.\nAnswer: -(d + 47)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65870879 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 9*r + 12. Let n be u(-8). Is -329*4\/(-1*n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42636 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3132 + -21888\/7. Suppose 4*f = 4 - 40. Calculate the common denominator of x and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 47376 + 60*f + 47277 - 3*f**3.\nAnswer: -f**3 + 60*f - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53783 in -4, 5\/4, 0.1, -1\/69?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - k = 45, -k + 30 = -o. Let w = -2\/24543 + 38228\/613575. Let s = -4\/25 - w. Which is the biggest value? (a) s (b) -0.3 (c) 4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -57 (b) 1\/17 (c) -2\/3 (d) -1 (e) 2\/7 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2808689 and -2.\nAnswer: -2.2808689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - z + 4)*(-1 - 2*z**3 + 1)*(-2 - 3 + 2) as i*z**2 + o + h*z**4 + w*z + r*z**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 33*c - 32. Let j(n) = -5*n**2 + 32*n + 33. Let f(m) = -3*j(m) - 2*s(m). Suppose f(d) = 0. Calculate d.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:06 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*o + 157832 = -750*o + 314*o for o.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3307*y**2 + 5*y. Let z(t) = 19850*t**2 - 32*t. Calculate -38*x(l) - 6*z(l).\nAnswer: 6566*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Let o be 1*a\/(-3) - -5. Find the second derivative of 2*s + 0*s - 4*s - 2*s**o wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*r + 1. Let x = 7 + r. What is the remainder when 2 + 3\/x*15 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3021375 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - o**2 + 2*o**2)*(-o + 8*o - 3*o) + 53*o**3 - 30*o**3 + 416*o**3 + 2*o**2 + 3*o**3 - 2*o**2 to s*o + y + m*o**3 + q*o**2 and give m.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.519 + 3.519. Put v, -2, 1.3 in ascending order.\nAnswer: -2, 1.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.98 + 12.35. Let t = 10.9 - b. Round t to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*w - 2, 0 = 5*b - 37*w + 40*w + 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27555*b + 14418*b + 13136*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/54 of a week in seconds?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 3*z**5\/20 + z**4 + 5*z**3\/2 + 3*z**2 + 18*z + 2. Factor i(r).\nAnswer: 3*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, w: 1, e: 1}. Give prob of picking 1 c and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/141 + 121\/1410. Let a(w) = w**2 - 4*w - 5. Let g be a(4). Let k be 5 + -7 - 26\/(-14). Put g, k, s in decreasing order.\nAnswer: s, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 47 + 19 = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 + 216.09. Let i = q - 0.01. Let f = i - -3. Round f to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-8 + (-189)\/(-15) - (-9)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1 (c) -38\/2913 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 - 23*c. Let b(x) = x**2 + x. Suppose 368*n = 299*n - 138. What is n*b(z) - p(z)?\nAnswer: 2*z**2 + 21*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (22\/1)\/(14\/49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21374.6509 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 20. Suppose 0 = -2*t + 3*m + 30, -3*t - 47 = -v*t + 4*m. Find the third derivative of t*n**6 - 8*n**6 - 6*n**2 - 6*n**6 wrt n.\nAnswer: 840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*g - 75. Let o be (1 - -3)*15\/20. Suppose -5*l - 4*v - 14 = 0, -o*v - v = -2*l. Which is the nearest to 2\/3? (a) g (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 515*d**2 + 301*d**2 + 1516 + 2*d**4 - 814*d**2 in the form x*d + b*d**2 + n + p*d**4 + y*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20568 + 20905. Put j, 3, 0.1, 5 in descending order.\nAnswer: j, 5, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 2. Let c = -5 - -7. Let u be y(c). Suppose 2\/5*p**2 + 1\/5*p + u + 1\/5*p**3 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 8, f = 3*p + 1 - 2. Suppose 14*a = 38*a - 4*a. Solve f*u + g - 8 = 0, a*g + 7 = -2*u + 3*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1224408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 3*v**2 - 4*v - 24. Let k(b) = -b**3 + 2*b**2 - 3*b - 16. Give 7*k(j) - 5*s(j).\nAnswer: -2*j**3 - j**2 - j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o - 210. Let y be 468\/o*(2 - 9). Suppose 0 = -5*k + 5*h + 95, 21 - y = -3*k - 4*h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykquqyuqquuuuru. What is prob of picking 2 u?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -191.704488?\nAnswer: 958.52244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 335 in 2\/7, 22, -1\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/9 - (-6)\/9. Let l(r) = -4*r + 3 + r**3 + 4*r**2 - 2 - j*r**2. Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = -10. Calculate the greatest common divisor of m and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, f: 1, k: 1, y: 1, p: 2}. Give prob of sequence fn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/(a\/(a**(-2\/15)\/a))*a)\/a*a)\/((a\/(a*a**(3\/5)*a))\/a)*(a*a\/(a\/a**(-1\/4)))\/a**5)\/(a**(2\/5)*a\/a**(1\/3))**(2\/69) assuming a is positive.\nAnswer: a**(769\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 3*p**2 + 3*p**2 - 3*p**2 + 3. What is t(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -10\/3581?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.87 + 3.764. Round l to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - u - 2*u + 100 = 0, 4*z = -3*u + 364. Let x = 3 + z. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -846 divided by -141.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2796*z**2 + 2798*z**2 + 1 - 1 + 0.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564552*v**2 - 540869*v**2 - 234639*v**2.\nAnswer: -1340060*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69594 >= 69594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*1*-9. Let u = -23 + 48. Let t = u + o. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/49 + 164\/14. Suppose -3*t + 2*t = z, -t = 4*z - s. Calculate the remainder when 7 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4479366 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 58. Calculate k(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.021388.\nAnswer: -0.0384984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y**3\/5 - 87*y**2\/5 - 39*y\/5 + 27 = 0 for y.\nAnswer: -9, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170526 - 169493 - h**3 - h**3 + 0*h**3.\nAnswer: -2*h**3 + 1033","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 424, 874, 1502, 2308, 3292, 4454?\nAnswer: 5794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 7*p**2 - 6*p + 9. Let w(d) = d + 25. Let l be w(-17). Let i be k(l). What is the greatest common factor of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3859 <= 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(700)*2 + 1 + -3).\nAnswer: -60*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8) + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = w - 5*k, -61*k + 4 = w - 58*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose -3*r = 3, 3*h - 4*r - 80 = -2*r. Let v = h - 19. Calculate the remainder when v is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-12)\/(-6))\/(35\/(-2)). Is 1 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.3 - 12.3. What is the second smallest value in -3\/8, 1\/11, n, -3\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -3 (c) 2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/2 - 10*i**2 + 3*i. Let m be a(0). Let t = m - -28. Solve 4*u - 2*n + 3*n = -t, -8 = -2*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + -2 - sqrt(12)\/(-3*sqrt(4)).\nAnswer: -2 + 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2. Let n(t) = -6*t**2. Let x(i) = -5*h(i) + 2*n(i). Let o(k) = -2*k**2 + 4*k**2 + 0*k**2. Determine x(o(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -270, -526, -874, -1308, -1822?\nAnswer: -2410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -23. Let y(j) be the second derivative of -1\/72*j**4 - i*j - 1\/9*j**3 - 1\/3*j**2 + 0. Let y(s) = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 7:26 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037581511 rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i**4 + i**2 - 57*i**3 + 112*i**3 - 55*i**3 + 3*i as a + l*i**3 + f*i**4 + h*i**2 + n*i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12) + ((-585)\/(-12))\/(-5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 206*h - 2404. Give q(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2)*((-3)\/(-15))\/((-14)\/175)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4219*a**4*b + a**3*b**2 - 1522*a - 2*b**2 wrt a.\nAnswer: -50628*a**2*b + 6*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0, 3, 30 in increasing order.\nAnswer: -103, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 210390721, 420781442, 631172163, 841562884, 1051953605?\n\"Answer: 210390721*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2 - 2 - 2 - h. Let y be z(-6). Let t = 12 + -6. Solve y = -4*v + v - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321372, 320227, 319082, 317937, 316792, 315647?\n\"Answer: -1145*j + 322517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 0. Calculate the greatest common factor of 63 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 + 7*y - 2. Let o be b(-6). Let g be ((-2)\/5)\/(o\/(-120)). Let c(i) = -2*i - 7. What is c(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11915353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1) + 15826\/(-12). Let l = p + 1318. What is the common denominator of 6\/7 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5382)\/4761*46\/(-4) - 3298\/254\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 121*h + 121*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -106. Which is the smallest value? (a) -0.1 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 + -46. Suppose -s = s - c. Calculate the highest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 5 - (-4 + 8 + -14). Sort 1, 0, h, 6.\nAnswer: 0, 1, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 8 = -v, 0*v - 6*v + 40 = 4*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/37842 and -167\/18768.\nAnswer: 6962928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26529 + 1235*h**3 - 13253 - 13276 + 1004*h**3.\nAnswer: 2239*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = 3*w - 20*n - 11, 4*n = 16. Sort 4, w, -29 in decreasing order.\nAnswer: w, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 16*v + 0*v**3 + 1\/2*v**2 + 1\/4*v**4 - 3. Does 6 divide o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 29*s**2 + 3*s + 90. Let a be -5*1732\/300 + (-4)\/30. Let g be c(a). Suppose 4*b - 15 - 5 = 0. Solve i - 16 = -g*i, 0 = -b*j - i - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0379679752 rounded to six decimal places?\nAnswer: -0.037968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1005024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 28, -8, -370 in decreasing order.\nAnswer: 28, -3, -8, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29642 or 1?\nAnswer: 29642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24bab (base 13) to base 9.\nAnswer: 113135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - 5\/210*-214. Which is the third biggest value? (a) -20 (b) -3 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483203342?\nAnswer: 2, 3, 73, 367, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**4 - r**2 - 2*r + 2. Let m(a) = -a**4 + a**2 + a - 1. Let l(s) = -c(s) - 2*m(s). What is the third derivative of l(i) wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59799223 to four dps.\nAnswer: 0.598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72385783 to the nearest integer?\nAnswer: 8508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11815015.\nAnswer: 5, 1151, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -16, -21, -24?\n\"Answer: d**2 - 10*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + b - 2*b)*(2 - 7 + 3) + b - 2*b + 5*b + 3*b - b - b - 2 + 2 - b)*(-3 + 4 - 3).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -57509?\nAnswer: 5750e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484778, -969591, -1454404, -1939217, -2424030?\nAnswer: -2908843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -505.19 - -505. What is the biggest value in d, -3, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1800 (base 10) to base 3.\nAnswer: -2110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/8)\/(1\/(-4)). Let f = 0.2 + 0.1. What is the smallest value in f, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725301 divided by 23111?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/2, 3, -0.88.\nAnswer: -0.88, 3, 53\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 13*h = -3146. Let m(w) = -13*w + 4. Let k(q) = 468*q - 143. Determine h*m(u) - 4*k(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5 - 2 - 3*f - 5*f**2 + 6*f**2. Let z be i(3). Solve 5*r - z*r = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5 (c) 4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 24 = 6*c. Let i be 30\/(-4)*(-4)\/c. Let r(l) = -l**2 + 5*l - 5. Let x be r(i). Put x, -1, 3 in ascending order.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5806 rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 9\/3)\/((-33)\/(-2)). Which is the second smallest value? (a) -4 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.1. Let g = s + -0.4. Let m = -1.06 + -3.94. What is the smallest value in m, g, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2985*i = 2979*i - 4 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 846061.2t?\nAnswer: 846061200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98528944 divided by -98528944.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8425990 to the nearest integer?\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 0 + sqrt(68))*-1 + (sqrt(68)\/sqrt(4) + -3 - sqrt(17) - sqrt(187)\/(sqrt(11) - (sqrt(396) + sqrt(11)))) + 3.\nAnswer: 25 + 61*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 783169111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7525368 + 11684988 = 11*y. Let u = -3776396 + y. Round u to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + -2 + sqrt(3) + -5 + sqrt(192)*-3*3*-2)**2.\nAnswer: -2030*sqrt(3) + 63124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193493\/779616 + -9\/5414. Let q = v + -15\/32. Let g = -4.1 + 0.1. Which is the second smallest value? (a) q (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 37540*o**2 + 3047067*o + 8803314.\nAnswer: -(o - 37621)*(o + 3)*(o + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2445877 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 31*n**2 + 8*n - 48. Let s be r(-11). Let k = -2545 + s. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74020\/41 or -1804?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 33 = -18*x + t, 0*t = 4*t + 12 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*s + 1572. Let y(x) = 280*x - s*x + 0 + 0. Let k(v) = -v. Give y(k(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3*n**2\/2 + 7*n - 9. List the prime factors of i(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and -144944.8.\nAnswer: 3188785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162671\/15 - -10845. Is -116 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3315164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 62090?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -547 - 443915*w**3 + 443915*w**3 + 1583*w**4 wrt w.\nAnswer: 6332*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184.19826 months to decades.\nAnswer: 1.5349855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51030433 (base 6) to base 3.\nAnswer: 2201200120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - 2 + 2)*(-2 + 2 + 2*z**2) - 3*z**3 + 4*z**3 - 3*z**3)*(33*z**2 - 31*z**2 + 2474*z + 650*z - 484*z).\nAnswer: -8*z**5 - 10560*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -139108.143 - -139171. Let i = a - -0.143. Let g = i - 62.999898. What is g rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868083 divided by 3.\nAnswer: -289361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 + s + 14 + 11 - 21 to g*s**3 + v + l*s + u*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18379 = 524*h + 4755 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 490734.\nAnswer: -1962936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(4*(-56)\/192). Which is the smallest value? (a) 34 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 24 = 8*x. Solve 5*t - 18 = -b, b + x = -t + 3*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-24) - 246890\/(-84). Suppose 15*i - 2836 = w. What is the greatest common factor of i and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 10*l - 75. Suppose l = -3*a, -4*a - 484 = 11*s - 7*s. Let r be ((-1 - 0) + -3)*2\/s. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/170 and -73\/238.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8833 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/3)\/(w**(-3\/10)\/w)*w*w*w**(-38)*w*(w**(2\/67)*w)\/w assuming w is positive.\nAnswer: w**(-71027\/2010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:10 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*k = 13, 2*p + 9 = -3*p + 2*k. Which is smaller: p or -4\/1447?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -118*x**2 + 836*x - 8. Let z be w(6). Calculate the highest common factor of 722 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -677, -1307, -1893, -2435?\n\"Answer: 22*d**2 - 696*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*c + 16, -p - 2*c = c - 17. Find the third derivative of 13*w**5 - w**2 + 11*w**2 + w**p wrt w.\nAnswer: 780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12736 + -12716. Solve 0 = -3*g + 5*n + 16, n + t - 18 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 2*f + 1. Let l be x(-1). Suppose l - 9 = 2*i. Let b be 5 - 2\/i*2. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402691 is divided by 5671?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735990407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*i**3 + 0*i + 0*i**2.\nAnswer: -2*i**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120 - 4114?\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2 + 2228*w = 0. What is w?\nAnswer: 0, 2228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 201507 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-6\/7)\/j))\/j**(-2\/7))\/(j\/(j*(j*j**4)\/j))**(19\/5) assuming j is positive.\nAnswer: j**(642\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7911058 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let z(i) = -i**2 - 107*i - 1127. Let f be z(-95). Is f at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 3584.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57386 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 53*s. Let a(l) = l**2 + 2*l + 1. Determine -2*a(z) + g(z).\nAnswer: -3*z**2 + 49*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238625141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**2 - h - 16. Let f be l(-2). Suppose f*o = -4*o + 532. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - -7. Round n to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 14 = -4*v - 9, 0 = 3*l - 2*v - 13. Suppose 27 - l = 4*f. Calculate the remainder when (-162)\/(-14) - (-4)\/(-7) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**3 + 36*x**2 + 74*x - 27. Is h(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -257, -252, -247, -242?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*o + 5*o = -1202, -1197 = 4*z + 3*o. Let m be z\/(-66) - ((-6)\/(-3) - -3). Are 1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 - 495. Let n = r + 160. Which is the nearest to 1\/3? (a) n (b) 13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (125 + -124)\/((-2)\/4 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 195444765 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176824.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2 + ((-6648)\/(-16) - -4 - -8)*18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r\/r**15)))**(-24) assuming r is positive.\nAnswer: r**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -2\/7 (c) 4\/9 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 3 = 3*n + 5*z, -5 = -5*n - 5*z. What is the second derivative of -4*g**2 + 2*g + 17*g**3 - n + 5*g + 5*g + g**2 - 4*g wrt g?\nAnswer: 102*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3927*u. Let o(q) = -28880574 + 2*q + 28880574. Determine b(o(g)).\nAnswer: -7854*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 1059 - 279. Suppose -2*u = -5*x - 732, -3*x = -5*u + r + 1459. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 2*t**3 + 0*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let n = 0.12 - -0.38. Let v be (5\/10 - -2) + -4. Sort n, v, l in increasing order.\nAnswer: v, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((6 - 5) + -1) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12)*(0 - 15). Let a be 2\/(-4) + u\/(-5). Let h(c) = -c**3 - 5*c**2 + 5*c - 8. Let z be h(-6). Which is greater: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -517, -1138, -1959, -3082, -4609?\n\"Answer: -17*v**3 + 2*v**2 - 508*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3 + (0 + 0 + 1)*(3 + 0 - 5))*(-39 - 6 - 6)*(-g**3 - g**3 + 0*g**3).\nAnswer: -408*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507 - 249. List the prime factors of r.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -35*j - 96. Determine m(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 4\/5, -1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Let m(r) = -40*r**2 - 24. Determine k(m(c)).\nAnswer: 80*c**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1457698 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**4 + u**2 + u. Let d(w) = -w**5 + 11*w**4 + w**3 + 7*w**2 + 9*w. Let t(a) = 2*d(a) - 18*g(a). Let t(z) = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2080 and -1\/496?\nAnswer: 64480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 - 5 + 4 - 3 + (1 + 2 - 4)*(-4 + 3 + 0))*(5*u**2 - 7*u**2 + 7*u**2).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/18*(-4 - 2). Suppose 0 = x*n + 5*k - 90, 0 = 3*n + k - 4*k - 90. Calculate the least common multiple of n and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -13*o**5\/20 - o**4\/4 - o**3\/2 - o**2\/2 - 11*o - 16. Let i(h) be the first derivative of p(h). Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 16*l**2 - 12*l + 70. Let s be w(-15). Let y = 30 - s. Solve 8*c + y = -11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*q - 5*q + 3*q)*((-3 - 1 + 5)*(-3 + 4 - 2) - 12 - 16 + 8) - 51 + 51 + 44*q to the form x + d*q and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzzggzzzgggzgzgzzgg. Give prob of sequence zgzz.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15149438.1s in days?\nAnswer: 175.34071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 506*m**3 - 23632*m**2 - 308896*m = 0. What is m?\nAnswer: -197, -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/310 and -87\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-5)\/(-920)*2). Find the common denominator of (30\/(-100))\/(2 + d\/(-45)) and -123\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45881700 to the nearest 100000.\nAnswer: -45900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - sqrt(500)*-2)\/sqrt(10))\/(sqrt(360)*-1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(9\/7)*z*z*z*z)\/z*z*z\/(z**(-3\/2)\/z) assuming z is positive.\nAnswer: z**(137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/((280\/(-28))\/(-70)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -45*i - 1. Let v(p) = 48*p + 2. Calculate -7*u(q) - 6*v(q).\nAnswer: 27*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -35, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 7*b**4\/12 - b**2\/2 + b. What is the units digit of p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5432 and 89\/162960.\nAnswer: 162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1113\/4081)\/(6\/55).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000000100001100001001 (base 2) in base 4?\nAnswer: -100010030021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 4*i**2 - 10*i + 24. Let a(m) = -m**3 + 11*m**2 - 5*m + 60. Let r be a(11). What is z(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:11 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmqmqmmqq. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 5\/(-2)*12. Let v = f + -15. What is the tens digit of v*6*(-3)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174303461 + -174303450.8331527. Let c = o + -10.11985. Let h = c + -0.047. What is h rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 8*g**2 - 8*g + 13. Give m(6).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/53 (b) -0.5 (c) -0.28 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-9))\/((-71)\/279243*115))\/(4\/10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllall. What is prob of picking 3 l?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281669.\nAnswer: 13, 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/623)\/((-39)\/13*(-2)\/(-1554)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 6. Let o = -0.5 + 0.4. Which is the second smallest value? (a) i (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19422)\/(-780))\/83*1340\/6\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 6*q - 14. Let u be w(6). Let s = u - 86. Calculate the highest common divisor of s and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3500 divided by 35.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from zczzziiclccuczzl?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sysvsyysvvvyijyvvy. Give prob of sequence sjyi.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2498 - -2982. Calculate the greatest common divisor of h and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0)*18\/(-6). Let g be ((-21)\/(-2))\/(d\/(-70)). Let m = 412 - g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3342 + 3344. Sort -900, v, 3, -2 in ascending order.\nAnswer: -900, -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -2*m**3\/3 + m**2\/2 - 10. Calculate q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -74\/5, 2 in increasing order.\nAnswer: -74\/5, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(1300)*-2 - (-1*sqrt(1300) + 3)) - ((2 + sqrt(1300) + -1)*5 + -3))**2.\nAnswer: -2800*sqrt(13) + 520049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f = -0*f + 129. Suppose 0 = f*z - 5*s - 731, 3*z - 41 = s + 674. Is z less than 238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:29 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197826 is divided by 129.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 799 (b) -2\/5 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 + (-2)\/2. Let l(k) = k**3 - 43*k**2 + 44*k - 87. Let g be (75 - 7)\/2 - -8. Let q be l(g). Put h, -11, q in descending order.\nAnswer: h, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 16. Let g = y + -76\/5. Let n = -56 - -56.5. Sort g, n, 0.4 in decreasing order.\nAnswer: n, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/13 - 6*o**3 - 254*o**2\/13 + 6*o + 252\/13 = 0.\nAnswer: -3, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1395 + 1 - (-189)\/21. Which is smaller: -1384 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199384153 to the power of 1\/2, to the nearest integer?\nAnswer: 64803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/8 - (595\/56 - 11))*5 + 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/10 and -103\/1467295134.\nAnswer: 7336475670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmu when three letters picked without replacement from {y: 1, q: 2, u: 1, f: 2, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/26)\/((-6832)\/(-510692)).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let c(i) be the first derivative of 0*i + 9\/2*i**2 + 1. Determine b(c(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1 + sqrt(245))*-4.\nAnswer: -56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 - 4. Let p(d) = 7*d**2 - 3*d - 18. Let z(j) = j + 6. Let k(c) = 2*p(c) + 6*z(c). Give k(o(g)).\nAnswer: 1134*g**4 - 1008*g**2 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 892*a**3 - 2 + 891*a**3 - 48*a**2 in the form o*a + m*a**3 + v + i*a**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 3*l. Let m = -60 + 61. Let n(g) = -10*g - m + 1 + 11*g + 2*g. Determine t(n(i)).\nAnswer: -27*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 3. Let g(w) = 10*w - 14. Let l be 1\/(-2) - (-27)\/6. Suppose 2 = l*d - 10. Let z(c) = d*g(c) - 14*i(c). Let x(o) = -3*o**2. Calculate x(z(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noc when three letters picked without replacement from {o: 2, n: 1, t: 1, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - g)*(3*g**2 + 0*g**2 - 7*g**2)*((6 - 1 - 2)*(-1 + 1 - 2) - 1 + 2 + 2).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3573 + 3846. What is the greatest common divisor of 26 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 502305.\nAnswer: 11553015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26273.1 + 1638817?\nAnswer: 1612543.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 minus -3.4?\nAnswer: -118.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f + 4*f**3)*(f - 7*f + 4*f) to the form g + h*f**4 + j*f**3 + l*f + p*f**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 + 336 = 6*r. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(8\/(-144)). What is the greatest common factor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.102824 grams?\nAnswer: 0.000006102824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556134 (base 7) to base 10.\nAnswer: -98172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 + -228. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 14*y = 0. Let c(u) be the second derivative of -5\/2*u**2 + 3*u + 1\/12*u**4 + y*u**3 + 0. What is the first derivative of c(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003659 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/18 and -67\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 216*r + 229. Is f(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -498446 - -794863. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f**3 - 1)*(-2*f**2 - 2 + 1 - 338*f + 341*f).\nAnswer: -2*f**5 + 3*f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 597*n**4*v**2 - 8*n**2*v**2 - 57927*v**2 wrt n?\nAnswer: 2388*n**3*v**2 - 16*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112368030 divided by 6?\nAnswer: 18728005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 7\/6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5507 not equal to -5506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13192 + -13072. Solve 313*h = 298*h - c for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 99*r - 492. Let j be q(5). Let m(a) = a**2 - 4*a + 1. Let b be m(4). Let g(z) = z + 1. Let d(s) = -4*s - 2. What is b*d(y) + j*g(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y**2. Let r = -7 + 30. Let v(g) = 23 - r - 2*g. Calculate v(f(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23425, -46857, -70289, -93721, -117153?\nAnswer: -140585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -74) + (119 - 98) + -27?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(2450)\/sqrt(2))\/(-1*1*sqrt(5)) + -2)**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 11\/12 (c) 0.4 (d) 2\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -14 + -3 - (-5 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -0.7 (c) 0.2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2230.83 * 0.1\nAnswer: -223.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - -0.2. Let o = -0.6 + 0.4. Let m = o - z. Which is bigger: -1\/3 or m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 2*n - 38, 0 = 2*n + 2*g - 6. Suppose 0 = n*r - 2153 - 5414. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (22 - 7 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -20*a**2 - 3*a + 4. Let w(t) = 41*t**2 + 6*t - 9. Suppose 2*r = -42 + 38. Let u(b) = r*w(b) - 5*c(b). What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1563 or -1559?\nAnswer: -1563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*2064\/(-774).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 36*m - 2049. Determine f(-31).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - 271. Is (40\/14)\/((-16)\/v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -36. Let o = -0.1 - -1.1. Which is the nearest to o? (a) 3\/8 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(4\/(-16)*8\/(-5)). Calculate the greatest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*s + 7*m + 288, m + 4 = 0. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -26, -0.19, 419\/5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516221 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63537241.3602 less than -2.49?\nAnswer: 63537238.8702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575\/(15\/3) + -1.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 45*u + 55 = 40*u, 5*i + 20 = 2*u. Which is the third biggest value? (a) -1 (b) i (c) 0.3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**3 - 60*s**2 + 110*s + 28. Determine p(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j - 1197 = 299 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -238*z - 152*z - 774*z + 2*z**2 - 6*z**2.\nAnswer: -4*z*(z + 291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**3 + 328*w**2 - 60*w - 26. Calculate o(-30).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477 = -109*f - 2240 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 817261 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 3*i + 3. Let g(a) = -2*a**2 + 9*a + 8. Determine 6*g(v) - 17*t(v).\nAnswer: 5*v**2 + 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 3. Let l be (1\/4)\/(6\/120). Let s be l + -9 + 15 + -2. What is v(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 4 + 5 + 5*r**4 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6147*y**3\/2 - 6145*y**2\/2 - 172117*y - 56 = 0?\nAnswer: -7, -2\/6147, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.1 - 4.7. Let w = 6 - r. Which is the nearest to -0.1? (a) w (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - p + 166, 0 = -p - 292 + 288 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by 5.\nAnswer: -108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 974*y - 2301*y + 712*y. Let r(i) = -7*i. Calculate r(c(u)).\nAnswer: 4305*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + m**2 - 2*m - 1 + 2*m**2 + 4. Let z(g) = -g**3 - 6*g**2 - 5*g - 3. Let x be z(-5). What is l(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1*sqrt(343) - (sqrt(343) - -4*sqrt(343)*-1)) + (-2 + (sqrt(343) - (sqrt(343) + 0 + sqrt(343))))*3)**2.\nAnswer: -140*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5616 - 14491*g**2 + 7*g + 7246*g**2 - 5*g + 1484 + 7247*g**2 as s + v*g**2 + w*g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2580 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4573 = 4*g - 9*g + t, 4*g + 4*t - 3668 = 0. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x + 3. Calculate the remainder when 15 is divided by l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let a(g) = -3 - h*g + 4 + 0*g. Suppose 0 = 3*f + 4 - 16. What is a(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 28 + (-16 - 0) - (-1 + 6 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1029 + 1859. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 33. Let k(m) = -5*m + 67. Suppose 2*u - 3*f = 11, 7*f + 26 = 4*u + 5*f. Let j(o) = u*z(o) + 3*k(o). Determine j(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3715533 and 1238511.\nAnswer: 3715533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*h + 1187 = 407 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/132 + (4 - (6 + -2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111 * -0.03\nAnswer: -3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -28761840 less than -28761841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -258*r**3 - 5*r**2 + 3*r + 1. Let m be v(1). Let i = -256 - m. Calculate the remainder when 6 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*o + 11 + 7*o - o**3 + 21*o**2 - 3*o**2 + 24 wrt o?\nAnswer: -6*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104\/184*1\/1*-8*(-161)\/84\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 11*i**2 + 15*i - 15*i + 21*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -o - 9. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 18*m**2 - 41*m - 16. Let i be w(-20). Let s be (-1 + 1)\/(-2 + 3). Solve 0 = -r - s + i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 33. Let l be a - (-2 + 3\/(-3)). Suppose -4*v + l*v = -52. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 12 = 0. Let s be (-1)\/2*n + 1. Solve -s*l + 2 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*u + 16 = -x, -5*x - 5*u - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**2*o**4 - 3*f**2*o**2 - 3*f**2*o - 2*f**2 - 2*f*o**5 wrt o?\nAnswer: 216*f**2*o - 120*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -243 (b) 8 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - m - 34 = 0, 0 = 4*n + 3*m + 70. List the prime factors of (-4)\/n - (-14034)\/24.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*p + 29 = 0, 0 = 2*d - 123*p + 122*p - 27. Calculate the remainder when 47 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -407, -816, -1227, -1640, -2055, -2472, -2891?\n\"Answer: -y**2 - 406*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 399*t**2 - 13722*t + 908. Calculate j(361).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2395 + 5*n**2 - 7*n**2 - 5*n**2 - 649*n**3 + 5*n**2 + 884 with respect to n.\nAnswer: -1947*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25167.\nAnswer: 3, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 726 - -67. What are the prime factors of m?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 1, c: 2, x: 7}. What is prob of picking 2 c and 1 x?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 - 7 = 0, 3*q - 5*m - 27 = 0. Let s be (18\/10*-1)\/(4\/(-20)). Solve -j + q = -3*p + 17, -3*j = p + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 - 5)*(0*u - 2*u**3 + 0*u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 1764*s + 129654. Let k(p) = 2*p**2 + 588*p + 43218. Let l(q) = 4*g(q) - 11*k(q). Factor l(w).\nAnswer: 2*(w + 147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/22, -4, -0.5, 1, 119, 0.1 in descending order.\nAnswer: 119, 1, 0.1, -9\/22, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100\/7? (a) -2 (b) 2 (c) 3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t - 28. Let x be u(-4). Suppose x = -3*n + 32. Suppose 2*d + n = 4*d. Solve -d*v + 7 = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 5. Let q(u) = 5*u**2 - 6. Let m(n) = 6*j(n) - 5*q(n). Let l(k) = 4*k**2. Calculate m(l(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5, -n - 3*n = 3*h - 159. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 7*r + 7. Let a(p) = -6*p**2 - 3*p - 2. Let g be a(-1). Determine m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(98)*-1 + sqrt(98)) + sqrt(98) + 3*(sqrt(98) + 1) - (sqrt(98)*-1*1 - 4*((sqrt(98) + 0)**2 - sqrt(98)))) + 4.\nAnswer: 7*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1 + 3 = -19*a, -21*a + 24*a + 40 + 26 = -3*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1347, 1283, 1219?\n\"Answer: -64*i + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 9. Let x = 808 + -822. Let k(z) = -z - 3. Give x*k(v) - 4*d(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6253*h - 12228*h - 3.\nAnswer: -18481*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 5*z**4\/12 + 17*z**3\/3 + z**2 + 80*z. Calculate j(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 5 + 4 + 2*h - 5*h - 8. Let s(i) = -i**2 + 4*i + 7. Suppose -l - 25 = -6*l. Let m be s(l). Determine t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018054.\nAnswer: 2, 509027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i + 1. Let o be (154\/35 + -2)*10\/4. Determine r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + c**2 - 3*c**2 + 4*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17993693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604569464 a multiple of 1123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116103836 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 714\/(-1 + -6)*(-12)\/(-9). Let h = m + 139. Solve 32 - 17 = -h*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -4 (c) -2 (d) 0.66 (e) -0.9 (f) -6\/13 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*q**2 - 3*q + 3*q - 2*q**2 + (5*q - 3*q - 4*q)*(2 - 2 + 3*q) - 5*q**2 + q**2 + 3*q**2 + 2*q - 2*q - q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -84\/377 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 - 3649*c**3 - 8 + 3649*c**3 + (-3*c**4 + 6*c**4 - 2*c**4)*(0*c + 2*c - 4*c).\nAnswer: -3*c**5 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from iiuuiiwmuuu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 50*m + 255. Let g = -46 - -43. Is g equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -r + 9, -3*d + r - 14 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 11*j**2 + 3908*j + 15707. What is l(-4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 - 7*m\/3 + 4 = 0. Calculate m.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/60 + 3*w**4\/8 - w**3\/6 + 3*w**2. Let g be s(7). Which is greater: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 w when three letters picked without replacement from {h: 1, w: 1, t: 2, n: 2, d: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:39 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2103744 + -5?\nAnswer: 2103738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8051 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673.08081 minutes in weeks?\nAnswer: 0.3643929375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-6)\/180.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 48. Let y be l(0). Suppose 4*z - y = 8. Calculate the remainder when 53 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12971*w**2 + 4*w - 34119 wrt w?\nAnswer: 25942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -0.5, -58, -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from nnnnnnnnwwnnnnwn?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3*(-1 + 2). Suppose -5*i - 6 + 16 = 0. Let q be i + 35\/(-11) - -1. What is the nearest to n in 4\/9, 0.2, q?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23152113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 581*c - 306*c - 277*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193.99999564 - 194. Round u to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681159 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25324, -101330, -228006, -405352?\n\"Answer: -25335*g**2 - g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -17\/14, 4, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 39907031?\nAnswer: -15962812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18911 or -1996?\nAnswer: -18911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*z = 85, -5*k - 163564*z + 9 = -163565*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14485*y**2 - 45506*y**2 + 14480*y**2 + 16556*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1376 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10958*p + 10953*p + 2 = 2*y, -5*y + 4*p = 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113589591.\nAnswer: 1113589591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8907.748 millilitres to litres.\nAnswer: 8.907748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/6*(13\/26 + 114\/(-240)). Let v(b) be the third derivative of f*b**4 + 0 + 4*b**2 + 0*b + 0*b**3. Let c(d) = -8*d. Calculate v(c(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*m + m + 2 = 0, 2*m + 1 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/47)*g*g)\/g*g\/(g\/g**24))\/((g\/(g\/g**(-30\/11))*g)\/(g\/(g*g\/(g\/(g*g*g\/g**(-21\/4)*g))))) assuming g is positive.\nAnswer: g**(36231\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20635305 is divided by 144?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 51*c**2 - 4. Let j be v(-2). What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-36 - -54) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 162, -0.2?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -226, -888, -1992, -3538?\n\"Answer: -221*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475) + 5)**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Let f be 1\/(-1 + 0 - -2). Suppose 13 = 2*s + f. Calculate the highest common divisor of o and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41db0 (base 14) to base 13.\nAnswer: 57563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 4*a**3 - 5*a**3)*(-3 - 1 + 5)*(670*a - 134 + 134) + (-4*a - 3*a + 4*a)*(-3*a**3 - a**3 + 2*a**3).\nAnswer: -664*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkg when three letters picked without replacement from knfkengeu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, 1 n, and 1 b when four letters picked without replacement from chhcnccnhcccbkh?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/3 - (-2)\/(-3). Let v be (1 - k) + 1 + 3. Let l(s) = -17*s**2 + 91*s**2 - 1 + 5*s - 20*s**2 - 55*s**2 - 1 - s**3. Determine l(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1974533\/9 - -219152. Let y be 4\/30 - 25214\/105. Let s = y - w. Is s <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116477 = -71*y + 76*y - 2*z, 5*y - 4*z = 116479. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. Let n be 6\/((-1)\/(-2) - -1). Suppose -n*m - x = -5*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6786 times 0.331?\nAnswer: 2246.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkktmzmzkmmknmmt. What is prob of sequence ztn?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g - 49 + 2*g**2 - 3*g**2 + 45 as o*g + i + m*g**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, d: 3}. What is prob of picking 4 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101961 divided by -33987\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*-4 - (-58)\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qereirtrrere. Give prob of sequence qie.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70710.\nAnswer: 2, 3, 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (69\/23)\/(78\/(-1066))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749 and 40139?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/120 + 2*q**6\/45 - 11*q**5\/120 + q**4\/12 + q**3\/3 + 6*q**2. Let l(v) be the first derivative of f(v). Factor l(n).\nAnswer: -(n - 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than 78.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12896?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 10:41 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffyffffffyyffyffff?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p + 3. Let k(x) = -2*x**2 + 7*x - 6. Let q be (-660)\/(-45) - 17 - 1\/(-3). Calculate q*k(n) - 5*t(n).\nAnswer: -n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21) + (-4)\/(-14). Suppose w = z + 12 - 13. Let n = 25 + -21. What is the third biggest value in -1\/4, z, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -28, -25, -22, -19, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.525988 milliseconds to minutes.\nAnswer: 0.0004420998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210025 (base 6) to base 11.\nAnswer: 437a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1. Let o(x) = -8*x**2 + 2. Let j(a) = o(a) + 5*v(a). Let u(b) be the first derivative of j(b). Let y(p) = -2*p**2. Determine u(y(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m - 4. Let w be q(-4). Let k = 53 - 51. Sort w, 5, k.\nAnswer: w, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 52 = -8*z. What is the second derivative of 32*u**z + 79*u - 91*u**5 + 2*u wrt u?\nAnswer: -1180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-12432)\/37)\/(-28)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 28. Let s be 7*(-2 + -2 + 3)\/r. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 4*o - 4. Let i be k(4). Let f be 13\/(26\/(-450))*i\/(-6). Let z be (-2)\/(-3)*f\/20. Sort 1\/9, z, -0.3 in descending order.\nAnswer: 1\/9, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 34.21. Let d = -0.2095 - g. What is d rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/8 + 4*h**3\/3 + 5*h**2. Is k(-5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/5 - 1536*m**3\/5 - 23594*m**2\/5 + 81504*m\/5 - 56376\/5 = 0.\nAnswer: -18, 1, 2, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 3:24 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -23419, 0, -9.\nAnswer: -23419, -11, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 7*k + 1408. Suppose j = -7*j + k. What is the least common multiple of 2 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 3. Let y(f) = 6*f**2 + 11*f - 1. Let q(b) = -2*b**2 - 4*b. Let l(o) = 8*q(o) + 3*y(o). Determine -3*i(n) - 2*l(n).\nAnswer: -n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42*(5 - (-66)\/(-18)). Solve n = -2*q + 64 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13038, 13039, 13040, 13041, 13042, 13043?\n\"Answer: z + 13037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 0 - (-2 + -29). Does 17 divide (-2)\/(100\/a + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -5. Let f = 5 - z. Let a be (3\/f)\/((-1)\/4). Solve -h = a + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n. Let v(x) = 179*x**2. Determine g(v(d)).\nAnswer: -358*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 731369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + 5 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 5, g: 2}. Give prob of picking 3 t and 1 c.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 191*r**2 + 11379*r - 1106. Give q(137).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 11*r + 14. Let f be a(-6). Calculate the greatest common factor of f and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 3*a**2 - 22*a\/3 = 0. What is a?\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v + 9*v - 23*v + v. Suppose 0 = -i + u + 4*u + 10, 2 = 4*i - u. Let c(r) = -r - r + i*r. Give d(c(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 951 - 946. Solve f*y + 20 = -5*m, -22 = 5*y - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 902, 815, 662, 437, 134?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 3\/2*z**3 - 5*z + 0 - 3*z**2 - 1\/4*z**4. Determine v so that i(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3396, 0.3, 0.9, -2\/5, -5 in descending order.\nAnswer: 3396, 0.9, 0.3, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100223 - -3?\nAnswer: 100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4045013 is divided by 17435?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Let t = -13 - -15. Let m be 0*(t + (-12)\/8). Solve -5*z - o + 24 = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 6, w: 7}. What is prob of picking 3 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2 + 4444952*q - 44449320 = 0.\nAnswer: 10, 2222466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.440111 months to centuries.\nAnswer: 0.0162000925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 4.5.\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6918 + 61. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142003.\nAnswer: 211, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -42, -4 in decreasing order.\nAnswer: 4, 1, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 18675846?\nAnswer: 18675846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3140 + 3642 - q - 7789 + 3639 + 3648.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 660\/(-1155)*(-4830)\/24?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 467?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2*72\/168?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*r**2 - 27\/8*r - 1\/8*r**3 - 9\/4 = 0. What is r?\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, and 1 d when three letters picked without replacement from rmpdmudkk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 24*d + 28*d - 175755, 3*y - 105451 = -2*d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 30. Let o = 602.53 + 11.47. Let d = 614 - o. Is d > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(57)\/(sqrt(75) - sqrt(75)*-1).\nAnswer: sqrt(19)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255*(-2 - -5 - 12\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 20*o + 41. Let p be w(7). Let r = 150 + p. Solve r*l - 2 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1276 - 0.1276. Which is the second smallest value? (a) g (b) 3\/31 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 11*d**2 - 3*d. Let c(j) = 2*j**3 + 23*j**2 + 7*j + 1. Let y(o) = 3*c(o) + 7*v(o). Let u be y(-8). Solve u*n = 2*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 7381 - 581 = 0. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**4 + 5*b**3 + 114 + 112 - 434 + 105 + 104 to the form z + o*b**3 + p*b + v*b**2 + c*b**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 331*q - 21993. Give u(-239).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152.7 + 153.817. Let g = -0.213 - t. What is g rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(192))**2 - (sqrt(34)\/sqrt(2)*-2 + sqrt(17))**2.\nAnswer: -255\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -1\/2*d**3 - 3\/2*d**2 + 3\/2*d**4 - 3 + 0*d + 9\/10*d**5. Suppose t(h) = 0. What is h?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b - 10. Let s be c(7). Suppose -r + 260 = 5*a, 2*r + 222 = 1473*a - 1469*a. Do s and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/15 - 41*y**4\/24 + 61*y**3\/6 - 105*y**2. Is p(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 101 - (-5)\/(15\/6). Calculate the greatest common factor of f and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 3*j - 5. Let s = -7 - -3. Let o = s - -9. Let a be z(o). Solve 0 = m + v - 0*v + 4, a*v = m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.242531 minutes to nanoseconds.\nAnswer: 14551860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 70.1. Let o = -61781 - -6548729\/106. Let b = o - -2\/53. Is q greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 4?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 - 11*z + 39. Let s be y(8). What is the greatest common divisor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 31185*s**2 - 7484976*s - 444078132.\nAnswer: 3*(s - 10631)*(s + 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2698, -9387, -20524, -36103, -56118, -80563?\n\"Answer: f**3 - 2230*f**2 - 6*f - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:33 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-176))\/(6*(-8)\/160)*-6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -j + 12, -158 = -5*c + 2*j - 170 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/633)\/((-1)\/2). Let n = -8233\/422 - t. Let k = n + 113\/6. Which is the third biggest value? (a) k (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -35. Suppose 28 = 5*q + 4*r, 4*q + 0*q - 6 = 5*r. Suppose 4*b - 3*f - 60 = -7*f, -5*b + c = -q*f. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808 = 142*z - 606 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 895081?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 933473147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 9:55 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 219564?\nAnswer: 1536948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 - 22 = -j + 49*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302.\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -128*v**3 + v**2 + 47*v + 87. What is k(-2)?\nAnswer: 1021","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 463 - 5?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*k - 5. Let u = 5 + -3. Calculate the remainder when u is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - -3255676?\nAnswer: 3255717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/5 (b) -12 (c) 4 (d) -6 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18970\/(-140920)*4*2?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + -2?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -158, -153, -144, -131?\n\"Answer: 2*s**2 - s - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-2)*(-188)\/(-470)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 1\/5, 3, 0.6 in increasing order.\nAnswer: 1\/5, 0.6, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 22. Suppose 4*o + b = 13*o. Suppose -o*k = 3*s - 72, 8*k - 11*k = s - 17. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -30*u**3 - 3*u**2 + u + 1. What is l(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -38 - 14) + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4628*t + 296 wrt t?\nAnswer: -4628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3\/3 - 3*f**2\/2 + 5*f. Let g be k(-4). Suppose g*w = 2*c - 383, 5*w - 12 = 3. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53234 is divided by 272?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076\/49 at most 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -169, -248, -327, -406, -485?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. What is the third derivative of -11 + 5 + 6 + j**5 - 3*j**k wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:16 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7657253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/11 equal to 3400.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 - 23*f**3 + 19*f**3 - 7*f**2 + 8*f = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/6 + m**2\/2 - 2*m. Let v = -2 - -2. What is the units digit of u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkqk when four letters picked without replacement from {k: 2, q: 11, h: 6}?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*sqrt(5) - (-1*sqrt(5) + 5)**2)*-2 + (((sqrt(500) - sqrt(500)*-1) + -1)*6)**2)*-6.\nAnswer: -432516 + 8772*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.64 - 62.56. Which is the third smallest value? (a) -3 (b) g (c) 5\/12 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1298162606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 427488221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -41*u**2. Let m(f) = 26*f + 2. What is m(h(s))?\nAnswer: -1066*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -68*d**2 + 5*d - 5. Let a(t) = 1836*t**2 - 136*t + 136. Give -5*a(z) - 136*p(z).\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(128))**2 + sqrt(2))*1 + -5*sqrt(22)\/(sqrt(33)\/sqrt(3)))*-3.\nAnswer: -1536 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*k**3 + 1\/6*k**4 + 0 + 8\/3*k - 5\/3*k**2.\nAnswer: k*(k - 8)*(k - 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4853914?\nAnswer: 2, 13, 186689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 226821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5 - 6)*(2 + 2 - 5)*(0*f + 3*f - 2*f) to the form m + p*f and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {z: 8, x: 1, c: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 40442*v\/7 - 161800\/7.\nAnswer: 2*(v - 4)*(v + 20225)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 185, -343, -0.2 in decreasing order.\nAnswer: 185, 4, -0.2, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7543*t**3 + 2841*t**3 - 2.\nAnswer: -4702*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/389 + 1157\/1945. Which is the closest to 10? (a) -4\/9 (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 19, -126, -279, -440, -609, -786?\n\"Answer: -4*i**2 - 125*i + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 - u + 1657. Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -8*n + 13, 2169 = -3*n + 2157 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35990*b + 18235*b + 19392*b in the form i + s*b and give s.\nAnswer: 1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v - 2. Let g be s(-7). Suppose -o = 3*w - 12, -2*w + g + 4 = o. Find the common denominator of -56*-2*w\/54 and -79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*c + 22 - 38 - 182*c + 12 as n + f*c and give f.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2 - 18. Suppose -5*a - 19 = z - 0*a, 4*z - 5*a = 49. Suppose 3*r + 3*n + 3 = -n, -3*r = 2*n - 3. What is the biggest value in h, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) + -1 + -2)**2.\nAnswer: -30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1142042134 - 0?\nAnswer: 1142042134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/11*25059\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*3\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 492?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Solve -2*x + 7*x + 31 = -3*t, 0 = m*x - t + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/6*3\/2. Let q = 0.0192 - 0.3192. Which is the nearest to z? (a) q (b) 2\/21 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.4021 times -0.24\nAnswer: 7.056504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1174, 1277, 1448, 1687?\n\"Answer: 34*t**2 + t + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -85*f + 156. Solve 6*b - 38 = -f for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6814, 2, -11, -4, -21, 0, 3 in decreasing order.\nAnswer: 6814, 3, 2, 0, -4, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - f**3 - 304*f**2 + 306*f**2 - 3*f**3 to m*f**4 + z*f + g*f**2 + l*f**3 + u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34763897\/1084 - 32070. Calculate the common denominator of -39\/16 and q.\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 102699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -4, 1\/7, -0.8, 5\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -48) + -36 + -15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 946*l - 947*l + 2, 3*l + 2*v = -11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 17*j - 17*j = 0. What is the smallest value in j, 86, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/18)\/(5\/270*3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let a = -0.07 + -0.13. Let v = 3.2 + a. Put -1\/2, r, v in descending order.\nAnswer: v, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 14. Let d be 0*(-2)\/6 - -4. Let b = n - d. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 20.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.9 + 0.1. Let o = -230 - -242.9. Let j = o - 12.75. What is the third smallest value in j, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 18. Let t be x(8). Let f = t - -10. Are -1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -11 - 0) + -5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 3318485 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41308803680 - 26.\nAnswer: -41308803706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 8. Let s = -709 + 703. What is b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*c + 3*c - 27, 0 = -c - 3. Calculate the remainder when 27 is divided by (-90)\/(-14) + 12\/q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c + 1154 = -410 + 122 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 86*n**3 + n**2 - 316*n + 317. Give v(1).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 0*p + 0*p)*(44 - 8 + 21).\nAnswer: -342*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*p - 19*p + 35*p)*(4*p + 0*p - 2*p)*(0*p - 29*p + 3*p).\nAnswer: 1248*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 21, -2 in decreasing order.\nAnswer: 21, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 1063 - 1517 = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-544)\/3808 + 54\/(-14) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -19.8. Let n = x + 2. Let s(o) = -o**3 - 252*o**2 + o + 255. Let t be s(-252). Which is the nearest to n? (a) 0 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1437.74737 to one dp.\nAnswer: -1437.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/708 and -107\/18.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i. Let f(v) be the second derivative of 1 + v**2 + 3\/4*v**4 - 10*v + 0*v**3. Give f(m(x)).\nAnswer: 9*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1668.9 + -1669. What is the nearest to -2\/17 in -3, -1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 89. Let d = -28.0046 - j. What is d rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1842 * -13.15\nAnswer: 24222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(200) + sqrt(200)*2))\/(sqrt(110)\/(sqrt(44)\/sqrt(4))))\/(-3*1*sqrt(1210)*6).\nAnswer: -sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 293 = 18*u - 21, 2*h - 159*u + 154*u = 89 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293008259.\nAnswer: 293008259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.27 (b) 0.5 (c) -5 (d) -30\/17 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.215376 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 3*u - 1. Let p(m) = -6*m + 5*m**2 - 2 - 4*m + 3*m. Suppose -3*y + 13 = -11. Let q = 5 - y. What is q*p(d) + 7*w(d)?\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1775 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxkxkcxxickkckcxxx. What is prob of sequence xkkx?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*g - 57*g + 118*g + 48*g in the form z + m*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -713260 * 0.1.\nAnswer: -71326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a4 (base 15) to base 9.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*z - y + 30 = 1564*z, -5*y + 40 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 4*u**2)*(4*u**2 - 2 + 2).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -2*15\/(-10). Is (-3989)\/(-5) + (48\/(-10) - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:02 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2952 = 14061*x - 6802*x - 6890*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:00 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 4. Let o(i) = -3*i + 6. Let t(j) = -28*j + 68. Let k(n) = 10*o(n) - t(n). Determine -4*k(c) + 9*z(c).\nAnswer: -c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bbb13 + 660?\nAnswer: -bb473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -21, -54, -99, -162, -249?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + -4 - (8 - (4 + 11) - -3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 4*q**2 - 6*q**2 + (-2*q - q + 4*q)*(3*q - 5*q + q) + 1265*q**2 - 3227*q**2 + 1150*q**2 + 2.\nAnswer: -814*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/16680869?\nAnswer: 2\/16680869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1066018474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6928, 6378, 4888, 1990, -2784, -9902, -19832, -33042?\nAnswer: -50000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f**2 - 264*f + 3. Calculate k(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -258*x. Let p(w) = -3349*w. What is p(z(o))?\nAnswer: 864042*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53352)\/(-6840))\/((72\/(-15))\/(-6)*1\/4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 8 - -2)*(2 + -1). Solve -p - 1 = f, -3*p + 8 = 4*b - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010633649 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 246 = -p, 5*g - 517 = 3*g - 3*p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/85*((-490)\/(-4))\/49\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:55 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(448))\/((sqrt(40)*2 + sqrt(40))\/sqrt(10)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = -324*h + 328*h, 3 = 4*h + 5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053689 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 3. Let n(w) be the first derivative of w**3\/3 - 3*w + 1. Let m be (-2 - -4)*(-45)\/30. Determine m*n(r) - 4*i(r).\nAnswer: r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0. Let f = w + 3. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17717342 and 0.1?\nAnswer: -1771734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l - 3*l. Suppose 4*t = -l + 21. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a11a (base 14) to base 13\nAnswer: -3873b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 2*c + 3. Let u(j) be the third derivative of j**6\/60 + j**4\/24 + j**3\/3 - 9*j**2. Give -2*b(s) + 3*u(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let d(k) be the second derivative of 2*k**3\/3 + 3*k**2\/2 - 2*k. Let j be d(-2). Sort a, j, 0 in ascending order.\nAnswer: j, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*n - 18. Put -4, 776, n in descending order.\nAnswer: 776, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 190 - 130*z)*(-23 - 60 + 26)*(z + 2*z - 2*z).\nAnswer: 7410*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*n + 35, -4*n - 9 = -3*k + 4*k. Suppose -f - 5*p = -k, 2*f - 2 = 5*p + 5. Calculate the highest common factor of 42 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 10849464*o - 9809239090608.\nAnswer: -3*(o + 1808244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7603754 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 1)*(3*n - 3*n - 2*n**2) + 3*n**2 - 4*n**2 - n**2 + (3*n + 3*n - 4*n)*(-3*n + 5*n - n) - 4*n**2 + 3*n**2 + 2*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*z + 3*p, -4*p = -2*z + 1 + 51. Let u = 0.27 + -5.27. Sort z, u, 1 in increasing order.\nAnswer: u, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 166, 163, 160, 157, 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60412 - -312?\nAnswer: -60100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjww when four letters picked without replacement from nddndwwwwdddnjdw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 + 2510630*u**5 - 8206*u**2 - 218?\nAnswer: 120*u**3 + 150637800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 3*u - 7, u + 1 = -2*r. Let z be -9 + (1 - r\/1). Let w = z - -17. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - (-2)\/(-3). Let v be (-1)\/((21\/24)\/((-10)\/40)). Which is the nearest to v? (a) 0.05 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 9\/(-1) + 3. Let t be -44003 - (15\/(-10) - (-6)\/l). Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cghcf. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 19 - 7 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 678904608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(6*2*sqrt(3))*1)\/(-1*(sqrt(175) + -2*sqrt(175)*3)).\nAnswer: sqrt(5)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)*c)\/(c\/(c**4*c)))\/(c**0\/((c*c**6)\/c))*c**6\/(c**(5\/2)\/c*c)*c**(-3)\/c**3 assuming c is positive.\nAnswer: c**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*m + 4*m. Suppose -q - m = z - 5*z, q + 2 = -2*z. Let k = 6 + -7. Which is the biggest value? (a) q (b) 1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 175\/26 (b) 543 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2\/8 - 15*y\/4 + 63\/8 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 8. Let o be b(-5). What is the second smallest value in -4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1785 = -3*l + h, -l + 12*h = 9*h - 603. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/506*5\/(-10)*1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576*c**3 + 561*c - 1126*c + 565*c.\nAnswer: -576*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 173986272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010353269 to 6 dps.\nAnswer: 0.001035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1055 - -1058. Let q = -4 - -7. Suppose -q*y - z + 5 = 0, 5*z - 9 = -2*y + 16. Sort b, -3, y.\nAnswer: -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-660))\/((-7)\/(-14)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9984 and 59116928.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-247) + 50\/(-52))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, -6*y + h = -3*y - 3. Suppose 8*o - 11*o + 621 = y. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 141*f**2 + 272*f + 831. Calculate l(139).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 113, 181, 277, 413?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -220a (base 12) to base 5\nAnswer: -110004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1012905 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-52420)\/(-35) - 172\/(-602) is divided by 363.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49031 - 637405\/13. Let s = -3 - -2.6. Which is the third smallest value? (a) w (b) 4 (c) -2\/9 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214830 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -249, -939, -2095, -3723, -5829, -8419, -11499?\n\"Answer: -k**3 - 227*k**2 - 2*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 14580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 + 16*o**3 + 60*o**2 - 72*o = 0?\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/132 + 27\/11. Suppose a*h + 70 = 4*h. Is 70 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Let h be (p - 0)\/(3\/(-2)). Let j = 5 + 0. Sort j, -5, h in increasing order.\nAnswer: -5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-429742)\/(-284829)*57\/1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11685140 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0305763km in micrometers?\nAnswer: 30576300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -8, -1458.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from xbbgmbnbx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32007 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)*((y\/(y\/(y\/y**6)))\/y)\/y)\/(y**(-2\/5)*y**(-1\/5)) assuming y is positive.\nAnswer: y**(-261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.77 * 4.\nAnswer: 31.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Suppose -2 = 5*f + i. Which is the closest to f? (a) 1\/9 (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 + 4 = 0. Let h = -1 + o. Let c be 4 - (3 + h)\/3. Is c less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - 1. Let w(r) = -r**3 + 11*r**2 + 13*r - 9. Let c be w(12). Suppose 3*p - 12 = -2*z, -c*p - z - 5 = -7*p. Is o(p) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105629 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:41 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(10 + 376\/(-37)). Let d(h) = h**3 + 36*h**2 - 37*h + 1. Calculate d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 33 = 3*t, 2*h = t + 2*t - 25. Let s be (-2)\/8 + (-1)\/h. Let i = 1.4 + -0.4. Put i, s, -5 in descending order.\nAnswer: i, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348118 + 348118 - s**3 - 647*s to the form i*s**2 + m + h*s**3 + b*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Let v(z) = -10 - 14 + 26 + 4*z - 10. Calculate 6*p(s) + v(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 20. Let u(h) = -12*h**2 + 2*h - 1. Let a be u(1). Let k be x(a). Suppose 4 = -k*d + 82. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267633 and 18078.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, -56072648, 2 in increasing order.\nAnswer: -56072648, 0.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1414 times 8359.5\nAnswer: -11820333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((2*sqrt(102))\/sqrt(6)*-2*2)**2.\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g - 11. Determine u(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63834.\nAnswer: 2, 3, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*x + 1, 2*h - 5*h - 4*x = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + v**3\/2 - v**2\/2 + 4*v. Let j be z(-5). Solve j + 1 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1740)\/(-377))\/(-60)*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3*(-5)\/30). Suppose 0 = -5*n + g + 14, 6 = t*n - n + 3*g. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19158.62 * -4\nAnswer: 76634.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13786129 to the nearest integer?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 147404, 294778, 442152, 589526, 736900?\n\"Answer: 147374*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1643 divided by 6.\nAnswer: -1643\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + -3 - (-8)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 248 = -z, 0 = 4*z - z - 2*y - 705. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -122, -412, -1194, -2714, -5218, -8952, -14162?\n\"Answer: -41*g**3 - 3*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7412 - -7414. Sort -3, 4, -9, w, -1 in decreasing order.\nAnswer: 4, w, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 219388?\nAnswer: 219388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 2}. Give prob of sequence lii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + -14 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 2\/3, 1\/6, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - (-20)\/8. Suppose v - 63 = 3*o, r = -3*o - 12. Let d be (1\/(-2))\/((-1)\/32). What is the greatest common factor of d and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-4) - 1\/(-4). Let m be 5*((x - 3) + -8). Let t be (m\/4)\/((-2)\/8). What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((-4)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/4? (a) -0.5 (b) 4 (c) 0.01 (d) 1.4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46, 48, 52, 58, 66, 76?\n\"Answer: c**2 - c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/24*80640\/(-25088).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63862 and 388.\nAnswer: 12389228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 53*d**2 - 15*d + 52. What are the prime factors of j(8)?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 5592740, -5 in decreasing order.\nAnswer: 5592740, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*o = 20, 4*o + 8 = 5*x + 2*o. Suppose -2*j + 566 = -x*j. Suppose 2*m - j = -61. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 5\/4 (c) -5 (d) -935 (e) 0.2 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037277420?\nAnswer: 2, 3, 5, 463, 37339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 4, -4, 3, 4\/3, -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*6\/(-42) - 0. Let x(c) = 8*c**2 - c + 1. Determine x(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*u - 2*p, -2*p + 8 = -3*u + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5 + 1076*i**4 - 5444*i**3 + 9836*i**2 - 7664*i + 2192 = 0.\nAnswer: -274, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132389 to five dps.\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**7\/42 + 2*n**6\/3 + 24*n**5\/5 + 4*n**4\/3 - 184*n**3\/3 - 192*n**2 - 2*n + 1137. What is h in d(h) = 0?\nAnswer: -2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 45.4?\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/((u*u**(-3\/2))\/u))\/u)**(3\/5)\/(u*u\/((u\/(u*u**(-12\/7)))\/u)*u\/((u*u*u\/u**(-2\/19)*u*u)\/u*u)*u) assuming u is positive.\nAnswer: u**(883\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13657 - -0.05\nAnswer: 13657.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-462) - (-12454)\/(-546)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.55 + -0.45. Which is the third biggest value? (a) y (b) -1\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 5*l**2 + 5*l - 4. Suppose 3*x + 30 = 4*p, 5*x + 3*p - 3 = 4*x. Let k be f(x). Solve -k*h = 2*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2203*b**5 + 16341*b**4 - b + 3*b - 569 - 16341*b**4 wrt b.\nAnswer: -44060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {i: 1, s: 1, u: 1, a: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/14 - 4*z**3\/21 - 3*z**2\/7 - 2904. Determine q, given that n(q) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.17, -0.003, -89\/3, 0.7?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-21) + (-4)\/(-6). Suppose 4*p + 3*w - 4*w = 35, 3*p = -4*w + 50. Suppose -p = -2*y, 6*a + q*y = 3*a + 22. Is a > 3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 19*r = -270. Let f = -323\/6 - r. Factor -f + 1\/6*p**2 + 0*p.\nAnswer: (p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, -156, -513, -1012, -1653, -2436, -3361?\n\"Answer: -71*d**2 - 2*d + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60 and -51.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103492 smaller than 103495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 151 = 80*l - 21, -4*s + 5*l = 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(5\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 + 8*i - 15 = 0. What is i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -213.536039 (b) -3 (c) -1\/4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 78*k + 15 = -76*k, 2*k - 20 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - -38 - (-6 - (-9 - 6) - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 9)\/(((-45)\/50)\/((-108)\/24)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwgwbwwwgbvwg. What is prob of sequence bv?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 35*b**2 + 150*b - 3. Determine p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let f(k) = 3325*k**2 - 2*k. What is f(v(i))?\nAnswer: 13300*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 q, and 1 m when four letters picked without replacement from {f: 1, m: 9, u: 5, q: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 0*p**2 - 9*p + 6*p**2 + 1 - 5*p**2 + 8. Let v be y(9). Suppose -v*u = -7*u - 634. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3273390, 3273390, 3273426, 3273516, 3273678, 3273930, 3274290, 3274776?\nAnswer: 3275406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 - -158599145.4579?\nAnswer: 158598873.4579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79019660 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 16.2. Let o = -22.2 - t. Let w = 19.00101 + o. Round w to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - q**2 - q**2 - 4*q**2 - 2*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -233 divided by -4\nAnswer: 233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 170. Let p(k) = k**2 - 5*k - 13. List the prime factors of p(m).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 88*u**2 + 489*u - 13. Calculate g(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + f**3 + 0*f**3 + 0*f**3 + 132 - 785 to the form r*f**2 + c + g*f + u*f**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - j + 0*j + 4*k = 5*j + 7 + 13, 2*j = 715*k - 3575 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*n + 1884, -2*n = 214 - 206. Calculate the lowest common multiple of 121 and q.\nAnswer: 5203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**14*l))\/(l**(-22)*l*l)*(l**(-2\/29)\/l)\/(l*l*l**25) assuming l is positive.\nAnswer: l**(-611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1420 and 27\/37133.\nAnswer: 742660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sywssswnwyn. Give prob of sequence nn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:02 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159251 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*o**3 - 888*o**2 + 18*o**2 + 870*o**2.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 119*f - f**3 - 119*f - 95.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Suppose -r = v - 0. Which is the third biggest value? (a) 5\/4 (b) v (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3491001294 take away -0.4?\nAnswer: -5.9491001294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5395121 - 6*n**2 - 21*n**3 - 5395112 + 3*n**2 as r*n + o*n**3 + x*n**2 + t and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3)*44\/(-6). Solve 5*z - s = 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 963970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 156154794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 - 1918*t + 13475 = 0 for t.\nAnswer: -1925, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(1 + sqrt(1200)))**2 - ((sqrt(240) + 2*sqrt(240) - sqrt(240))*-6)\/(sqrt(15)\/(sqrt(3)*-1)).\nAnswer: 15952*sqrt(3) + 480400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5163 + 5159 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (63\/(-3))\/3 + (-276)\/8*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + n + 79 + 13 = 0, -5*p - n + 148 = 0. Suppose -2*r + 4*r = -4. What is the units digit of -2 + (-1)\/r*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 3*l - 1. Let r(g) = 55*g**4 - 18*g**3 + g**2 - 2035*g - 1. Let m(o) = -r(o) - z(o). Find the third derivative of m(k) wrt k.\nAnswer: -1320*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*s + 558*s + 16533 + 11347 = 0 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 3*w + 6. Let s(p) = 1. Determine -o(d) + 5*s(d).\nAnswer: 3*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*a - 14. Are 1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3531 + -1269. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(190)*1)\/sqrt(10) + (sqrt(475) + 0)**2).\nAnswer: 2*sqrt(19) + 950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 5*o - 2, -4*o + q + 4 = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315713, 315712, 315711, 315710, 315709?\nAnswer: 315708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 268 + -131. Let m = -130 + u. Suppose m*s = 12*s - 95. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-9)*(-894)\/2086\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1699200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 5*k - 3*k + k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (9 - 1) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 365, 1325, 2875, 5015, 7745, 11065, 14975?\n\"Answer: 295*v**2 + 75*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.38885 and -0.091?\nAnswer: 1.67338535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 104763357?\nAnswer: 5\/104763357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610931167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1935*m + 7083*m - 830*m + 4975*m + 1303*m)*(1 - 5 + 2).\nAnswer: -21192*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*f - 71. Let q(l) = -l**3 - l - 17 - 3*l**2 + 2*l**3 - f*l + 15 + 3*l. Let p(u) = 3*u**2 - u + 1. Let i be p(1). Give q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*i*w**4 + 113*i*w**3 + 627*i + w**4 + 288*w**2 wrt w.\nAnswer: 10872*i*w + 678*i + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/176)\/(4\/((-816)\/(-238)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -366, -373, -382, -393, -406, -421, -438?\n\"Answer: -n**2 - 4*n - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 + 0*c**3 - 6 + 2*c + 7 to the form k*c**2 + z*c + j*c**3 + r and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from iqewiewiew.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 348 - 208. Let i be (-4 - r\/(-34)) + (-2174)\/(-17). Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002454 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392695 is divided by 49086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 154?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, n: 5}. What is prob of picking 1 n, 1 f, and 2 z?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, and 1 i when three letters picked without replacement from {r: 3, i: 6, j: 1, s: 3, y: 2}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let r(a) = 443*a + 2. Calculate 2*r(n) + 4*t(n).\nAnswer: 886*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7274\/7*18\/(-24). Let w = l - -780. Calculate the common denominator of w and 125\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r. Let t(y) = -10*y**2. Calculate t(m(p)).\nAnswer: -2890*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12040 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*g + 5*s, -2*s = -4*g + 3*s + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4119, -1, -112 in ascending order.\nAnswer: -4119, -112, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * 213.07.\nAnswer: 110.7964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3834199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:00 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.8*-623470.\nAnswer: 9227356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + b**2 - 2*b. Determine w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**3 + 5*g**2 - 3*g - 2. Let s be i(1). Solve -s*l = 7 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose -x = -2*l - 144, -4*x - a*l + 370 = -151. Suppose -4*q - i - i = -x, -104 = -4*q + 4*i. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h + 3743. Let i(p) = 4*p. What is m(i(o))?\nAnswer: -32*o + 3743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*q - 9732 = 454 - 1149 + 21251 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1952 and 46653824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.107, -1, -4.\nAnswer: -4, -3, -1, 0.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1295)\/(-105) + (-494)\/78.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - f**2 - 4*f**2 + (0*f + 0*f + 2*f**2)*(-4 + 1 + 1) + f**2 + 0*f + 0*f - 1435*f**2 + 1421*f**2 + 6 + 16.\nAnswer: -18*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*h, 2*h + 5*c = -8 + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:23 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.916034?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26560*i*k**3 + 461*i*k - 8*i + k**3 - 2*k + 1 wrt k.\nAnswer: 159360*i*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -769 - -5?\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034215018 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 21*s - 10. Let i be u(-15). Let m = i - 112. Differentiate -l**3 + 20 + m*l**3 - 2 with respect to l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - 41 - (-15 - (33 - 44))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r**3 + 3*r + 7. Let v(m) = 4*m**3 - 2*m - 3. Let i(f) = -3*n(f) - 7*v(f). What is the second derivative of i(c) wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 2*n**2 - 22*n + 60. Let w be x(4). Let r = -13 + 19. Suppose w*l + r = 6*l, 2*i - 3*l + 9 = 0. What is the second biggest value in -3, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131616*l + 1071847*l + 4957059*l.\nAnswer: 5897290*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4*(-12)\/(-16) - -48263. Round j to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 64*i + 39160\/9.\nAnswer: 2*(i + 110)*(i + 178)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -321497578, -321497577, -321497576, -321497575, -321497574?\n\"Answer: r - 321497579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/479495 and -51\/70.\nAnswer: 6712930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(8*i**3 - 9*i**3 + 1 - 2*i**3)*(-2 - 4 + 2)*(2 - 5 + 1).\nAnswer: 48*i**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71035, -284446, -640139, -1138120, -1778395, -2560970?\nAnswer: -3485851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 101 = -5*b - 3*x, -4*x = -3*b + 55. What is the least common multiple of b and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 1. Let t be y(1). Let m = 124.84 + -124.04. Which is the biggest value? (a) m (b) -5 (c) t (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ac3 (base 14) to base 13.\nAnswer: -4942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -176*t**2 - 468*t - 467. Calculate y(-1).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Let d(r) = -4 + 2413*r + 11 - 2419*r + 1. Let h be d(w). What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 285*-5*6\/(-75). Let a = t - -15. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 11:13 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/65)\/((3\/2)\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laqcsskc. Give prob of sequence qcc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051841 is divided by 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 6*n - 2*n + 3*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 3. Let a(s) = s + 1. Let j(h) = -3*a(h) - y(h). Let g(v) be the first derivative of 7*v**3\/3 - 5785. Determine j(g(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from pvpdpdvpppdp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - x - 5, 0*v - 4*v = -x + 10. Let f be (-3)\/(v\/((-3)\/(-1))). Let u be (-5)\/6 + (4 - f). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -18. Suppose m*h + 5*r - 103 = 0, -5*h + 105 = -h + 3*r. Let o = 52 - h. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n = 176 - 193 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1425*r - 7137. What is u(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20441*k**3 - 11*k + 195 wrt k?\nAnswer: 122646*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 18 = y, 367902*y = 367907*y + 45 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 30 (b) -19 (c) 2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1242 - -4?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v. Let i(q) = 23*q + 30. Let n(h) = i(h) + 4*j(h). Let f(x) = -x. What is f(n(m))?\nAnswer: -3*m - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 + 6*x. Let r = 2977 + -2979. Let h(n) = 2*n**3 - n**2 - 7*n. Calculate r*h(k) - 3*j(k).\nAnswer: -k**3 - k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 1 - (sqrt(99) + 1))*2.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:53 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 5. Calculate b(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -36988*o - 184866. Calculate s(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*f**2 - f**3 - 37*f**2 - 2 - 20*f**2)*(3 + f - 3).\nAnswer: -f**4 - 4*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 8) to base 2.\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:10 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 379.1 + -379. Which is the third smallest value? (a) 2 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 3, 2, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 543 (c) -1\/7 (d) 0.3 (e) 89 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 163662?\nAnswer: -163646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 8*w - 8. Let z be v(1). Solve g = -2*t - t, 15 = -z*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 40 + 40*c**3 - 10*c**2 - 38*c**3 - c**3 + 5*c. Let x be y(9). Solve 0*g + 16 = -v - 5*g, -2*v + 10 = -x*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*a - 220*a = -416. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2934\/(-18)*(2 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.06, 4, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 696419.4ng?\nAnswer: 0.6964194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 8. Let s(n) = -65*n + 37. Calculate -s(y) + 5*v(y).\nAnswer: 60*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12923232 and 2688.\nAnswer: 51692928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2989 + 2995. What is the remainder when 57 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/60*66*(-8)\/160?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2 - -6) + 72\/(-6). Let q(x) = 5*x**2 - 7*x. Let z(c) = -2*c**2 + 2*c. Give i*q(n) - 21*z(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 3. Let s(b) = -21*b + 16. Suppose -a + 4*c + 0*c = 20, 32 = -4*a + 4*c. Let j = 409 - 387. Determine a*s(l) + j*z(l).\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 18584.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -1, -14, -4 in decreasing order.\nAnswer: 9, 0, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o**5 - 2 + 0*o**4 + 0*o**2 - 5*o**3 + 5\/3*o**6 + 0*o. What is the third derivative of z(j) wrt j?\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195302441?\nAnswer: 195302441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49759.61mg to nanograms.\nAnswer: 49759610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37844\/236525*2\/((-4)\/(-1))*10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 925532 by -4.\nAnswer: -231383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -804.761247 - -793.5613. Let f = t + 11.2. What is f rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = -2*y. Suppose 0*h = y*k + 5*h - 26, -4*k + 44 = -4*h. Let z(r) = -r**2 + 22*r - 28. Is z(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 13. Let g be m(9). Suppose 16 = g*l - 0. Solve -l*y + 14 = w - 3*w, -3*y + 15 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v - 5. What is p(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (21 - (34 - 15) - -91).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353 + -349. What is the units digit of (-203)\/(-63) + r\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = 0, -4*s = -0*h + 4*h - 24. Let u be h\/18*(-10 - -1). Are 0.6 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4.72, -0.5, -1, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1320674385?\nAnswer: 3, 5, 47, 1873297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, 10.8, 2\/11, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.1 - 61.14. Let t = 20 - w. Let u = t + -0.825. What is u rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 17*f - 14*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 4, 5 in descending order.\nAnswer: 10, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) -1 (c) 0 (d) -286 (e) -8 (f) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 3*r - 1. Let n(z) = z**3 + z**2 - 3*z + 1. Let s(w) = -3*h(w) - 4*n(w). Calculate the remainder when s(2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 126*d - 467*d - 200*d + 132 + 174.\nAnswer: -793*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-7))**(-5)*(p*(p*p**(5\/3)\/p)\/p)**18 assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -13, -2, -7\/2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*w - 290*w - 247 = -568*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -958638\/7 or -136947?\nAnswer: -136947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 11 - 3 = 0. Put -1\/8, 2\/9, j in decreasing order.\nAnswer: 2\/9, -1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 + 5128*r**2\/3 - 12576872*r\/3 - 986965056.\nAnswer: -(r - 5236)**2*(r + 216)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 12*u. Let o be h(-6). Let r be (-1 - 0)\/(6\/o). What is the common denominator of r\/33 - (-1462)\/(-176) and -87\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 - 230. Let c = -5.5 - -6. What is the biggest value in 1, 1\/4, c, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g + 1. What is the remainder when 215 is divided by v(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64532480 divided by -140288?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1658720.133 milliseconds to weeks.\nAnswer: 0.0027425928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*d - 20, d = -4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7530*v + 1671 - 1671.\nAnswer: 7530*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -1 - (5 + 1)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - 5*c)*(3*c**3 - 5*c**3 + 0*c**3)*(-2 + 1 + 0).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voov when four letters picked without replacement from vvvvvovvvvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1811387515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5414*r + 75767. Determine l(14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 102. Suppose -m*x + 975 = -x. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 39, -557, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2 + v - v**2 + 5\/3*v**3. What is f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5073 + -5?\nAnswer: 5069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2. Let n be 2\/(0*4\/(-16) - -1). Let o be h(n). Let a(d) = 2*d**2 + 1. Let l be a(-1). Solve o = l*c - 5*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d + 41. Let g be k(-5). Solve 0 = -0*q - g*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 + h**3\/3 - 2*h**2 + 59*h. What is f(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.92112 millimeters in meters?\nAnswer: 0.01292112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10124*q + 10135*q + 198 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 134*s + 871. Determine m(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60609 by -7.\nAnswer: 60609\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 20, 11, -2, -19, -40, -65?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b + 2. Let v be g(1). What is the second derivative of 301 - 301 - v*o - 14*o**2 wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 28. Suppose -2*b + 0 = 2, 2*b = 2*w - 48. Let u = w + c. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 222*f + 2271. Give p(-61).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 4*i)*(-1 + 1 + 2*i) + 1022*i**2 - 1015*i**2 - 1 + 2.\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2113 (base 4) to base 5.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**29\/w)\/w*w**(-4))**49)**23 assuming w is positive.\nAnswer: w**25921","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4888 and 5358?\nAnswer: 278616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivs. Give prob of sequence is.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m**2 - m - 2. Let l(h) = h**2 - 1. Determine 6*l(w) - 2*v(w).\nAnswer: -12*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + w. Let y be h(1). Suppose -3*q - 4*p + 18 = -y*p, 2*p = -6. Suppose 2*c - n = 27 - q, -5*c + 63 = 4*n. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3885 or 129\/13?\nAnswer: -3885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 28 + 3*y + y**2 - 36 - 19. What are the prime factors of c(-15)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 4. What is the least common multiple of (-7 + (-27)\/(-9) + -398)\/(-6) and u?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 24824.\nAnswer: 9929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 9*r + 2. Let g(j) = -29*j**2 - 28*j + 15*j + 29*j**2 + 3 - 3*j**3. Calculate -5*g(i) + 7*h(i).\nAnswer: i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 26 = -4*s + 3*u, -4*s + u = -22. Solve -3*k + s*i = -k + 10, -5*i = -3*k - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9264869 tonnes to micrograms.\nAnswer: 926486900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39081.85*0.03\nAnswer: 1172.4555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(-5 + -3*(sqrt(162) + -1) + 1)*-3*-6)**2.\nAnswer: 1119744*sqrt(2) + 30253824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 7*w = 2*w, -4*w + 4 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140413 + -10?\nAnswer: -1140423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6918902928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*m**3 - 691*m**3 + 207 + 392 + 232*m**3 + 227*m**3.\nAnswer: -2*m**3 + 599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3283.679 days to hours.\nAnswer: 78808.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40. Let q(s) = s + 113. Let k(n) = 11*b(n) - 4*q(n). Determine k(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53099?\nAnswer: 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 931, 2713, 4481, 6229, 7951, 9641, 11293?\nAnswer: 12901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 7\/24*b**4 + 0*b + 0 + 3*b**2 + 0*b**3. Calculate c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0) + 26\/65 + 282\/120\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0 (c) -9 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29d95 (base 15) in base 12?\nAnswer: -65b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 b, and 1 t when four letters picked without replacement from {b: 3, t: 13, g: 2, n: 2}?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssz when three letters picked without replacement from snncncnzsnsnzzz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3576*a**3 - 3 + 3 - 3580*a**3 + 7157*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2587052.\nAnswer: 2, 13, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(448) + sqrt(7)) - sqrt(11)) + -2.\nAnswer: -8*sqrt(11)\/9 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*d - 20 = -6*d, 4*d + 25 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1731, 1730, 1727, 1722, 1715, 1706, 1695?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507462.1 milligrams to nanograms.\nAnswer: 507462100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45 - -3 - 4 - -4)*-6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 1.696860436?\nAnswer: 0.296860436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 0.67. Let w = -0.550011 + c. Round w to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 4*y**2 - 13*y + 13. Let d be h(6). Suppose -4*g + d = 23. Let u be (1\/(-4))\/((10 + -6)\/g). What is the nearest to u in 15, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 45. Let l(q) = -n + 3 + 4 + q. Let g(s) = s - 7. Suppose 0 = 2*r - 1 - 9, 2*k - 5*r + 35 = 0. Determine k*g(v) + 7*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3 and 73\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 - 26. Calculate the lowest common multiple of s and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 2) + (1 - -1). Let d(p) = p**3 + 3*p**2 - p + 4. Let n be d(-4). Let m = j - n. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 x when three letters picked without replacement from kyuzpuyxyzzuupy.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10994 = -2*w + 5*s, 34*w + 5*s + 5497 = 35*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202044\/5 less than or equal to 240409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**8\/16 - v**5\/4 + 14*v**2. What is the third derivative of m(a) wrt a?\nAnswer: 1260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = -23*w - 103 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467649519?\nAnswer: 7, 29952031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r - 4*n - 65 + 179, -15 - 1 = -25*n + 29*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 5*n + n)*(4 + 4*n - 4) + (3*n + 3*n - 4*n)*(-2 + 2 - n) + 3*n**2 + 0 + 0.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -503, -954, -1405, -1856?\n\"Answer: -451*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-6*f**2 - 3 + 5*f**2 + 5) + 14 - 39*f**2 - 14.\nAnswer: -37*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1057781 * 9.\nAnswer: 36.9520029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from axtxgppptpttxrp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2156, 2368, 2580, 2792, 3004?\n\"Answer: 212*d + 1944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 548*x**3 + 804*x**2 - 840*x - 512 = 0.\nAnswer: -2, -64\/137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/105 and 33\/158438.\nAnswer: 2376570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-3)\/(-9)). Suppose 1 + 5 = -2*r. Let j be r\/(-1 + -1 - (2 + -3)). Solve -j*u = -2*u + x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + (-276)\/(-161). What is the closest to 0.1 in 9, s, 4, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (3 + (1 - 0))) + 12 + -10 + -61.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641666 divided by -3.\nAnswer: 641666\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -47*s + 156*s**2 + 51*s + s**5 + 3319*s**3 - 3240*s**3 + 104*s + 16*s**4 = 0.\nAnswer: -9, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -837.7 + 838. Put -1\/2, -131, k in descending order.\nAnswer: k, -1\/2, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 9. Let p be ((-65)\/4 - -2) + 9\/(-12). Let o be k(p). Let w(g) = g + 1. What is w(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.78 - 0.02. Let s = 0.2 - j. Let l be 54\/45 - 260\/175. Which is the nearest to l? (a) 4 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815873795 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43455, -43380, -43261, -43104, -42915, -42700?\n\"Answer: -b**3 + 28*b**2 - 2*b - 43480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 245754.202 and 0.6362.\nAnswer: 245754.8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-964)\/(-8) - (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5*k - 4*w + 6, -9 = -4*k + 3*w. Let x(v) = v**3 + 3*v**2 + 2*v**2 + 4 - 4*v**2 - v. List the prime factors of x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 14, -12, -70, -172, -330, -556, -862?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 581 - 574. Suppose -7*x - q*x + 138334 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.5, 1, 436, 3, -0.3, 4 in decreasing order.\nAnswer: 436, 4, 3, 1, -0.3, -0.5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111512, -111914, -112314, -112712, -113108, -113502?\nAnswer: -113894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*l - 15. Let a = 10 + l. Suppose 11 = 2*w - 7. What is the highest common factor of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 + w**3 - w**3)*(3 - 3 - 2).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -203585, -203585, -203567, -203531, -203477, -203405?\n\"Answer: 9*f**2 - 27*f - 203567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 + 981*g**4 + 55641*g**3 + 257519*g**2 + 202860*g = 0. Calculate g.\nAnswer: -49, -4, -1, 0, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 - 19*j**4\/6 - 4*j**3\/3 - 17*j**2 - 16*j. Does 15 divide m(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3311524 rounded to four dps?\nAnswer: -0.3312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -164*v**2 + 7*v - 10. Let t be q(2). Let r be (5\/(20\/t))\/(-4)*-4. Let m = -91 - r. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicrrgrigoigrj. Give prob of sequence or.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 93*i = -90*i + 13, 2*o = -5*i - 24 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -26*j. Let k(y) = -16292069*y**2. What is x(k(i))?\nAnswer: 423593794*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1409*h - 24401 - 58002 + 11953 = 0 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 221912802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -5*v**3\/3 - 10*v**2 - 15*v + 22. Factor o(m).\nAnswer: -5*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29379 - 8181. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 3. Let f be h(6). Let t(q) = 2*q**3. Let i be t(1). Let j(x) = -2*x - 3*x**i + x + 1 + 0 + x**3. What is j(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 21*f + 106. Determine v(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17019, -16838, -16657, -16476, -16295?\n\"Answer: 181*f - 17200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/9 (c) 0.1 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/(q**(2\/73)*q))\/(q*q**13)**(-1\/42))**(-23) assuming q is positive.\nAnswer: q**(12029\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*c + 220*c + 216*c - 5*c - 28*c - 4*c**2 to k + w*c + j*c**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (97 + 135 - 91)*(-1 + 1 + 2*i) as u + p*i and give p.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -903 by 19637.\nAnswer: -903\/19637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*6*3\/(-63)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57341820*x**2 - 313460493 wrt x?\nAnswer: -114683640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11324 (base 5) to base 10.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 + 1135*a**4 + 11413*a**3 + 42305*a**2 + 68664*a + 41220 = 0 for a.\nAnswer: -3, -2, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 808522 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 13260\/400)*(-16)\/(-30)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -2140646.2.\nAnswer: -428129.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d + 3*d + 2*d)*(2 + 1 - 4)*(4 + 1 - 2) as l*d + r and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 39. Solve -2*w + d*w - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5\/5 - 897*r**4\/5 - 68841*r**3\/5 - 145455*r**2 + 45984576*r\/5 - 62517312 = 0.\nAnswer: -184, -72, -65, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j - 154. Let x be w(36). Find the third derivative of -19 - 2*c**6 - 22 - x*c**2 + 568*c**2 - 17*c**4 wrt c.\nAnswer: -240*c**3 - 408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448) + 3)**2*3 + (-1*sqrt(448)*-2 + -2*sqrt(448) + -1)**2.\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (632\/(-10))\/((-8)\/30) and 315?\nAnswer: 24885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -z + 135. Suppose -z*o + 50*o - 159 = 0. Which is greater: o or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7139403 to the nearest ten thousand.\nAnswer: -7140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20776 - 20772. Let c = -0.1 + 10.1. Sort 0.4, c, -0.5, m.\nAnswer: -0.5, 0.4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 34*l - 8*l to a + k*l and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 646*k + 270235. Determine r(-289).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = 8. Is (-2205)\/(-14) + 3\/(12\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1903313408 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 12.\nAnswer: 3*(c - 4)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**3 - 6791*s**2 - 5685*s - 33926. Give f(-1131).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 129. Calculate the remainder when j\/((4\/1)\/2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80797248 by 841638.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45566\/14 - (-56)\/196. Round a to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13520 - 13491. What is the remainder when 1420 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 107999*d + 10. Let x be v(10). Let f = -9 - -15. Suppose -4*y = -f*y + x. What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79316, 158640, 237976, 317324?\nAnswer: 396684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3903 - -3906.191. What is r rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220232 + -2?\nAnswer: 2220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 z when three letters picked without replacement from {b: 3, z: 4, s: 9}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-36 - -17) - -37 - -11?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 300\/(-44) + 3*2\/(-33). Let o be 0*(w - (-39)\/6). Is -20.2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*r = -47 - 905. Let b = 30 - 18. Solve b*w = r*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3083 - -2.2083. Which is smaller: k or -4\/675?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:55 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(24)\/sqrt(2) - (sqrt(33)\/(sqrt(44)\/sqrt(4)) - ((sqrt(3)*-2 - sqrt(3)) + 3 - sqrt(3))))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/5)*b)**(5\/3)*(b**(-2))**(-31) assuming b is positive.\nAnswer: b**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -91, -149, -225, -325, -455?\n\"Answer: -x**3 - 39*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - s**3 - 71*s + 57*s - 372*s.\nAnswer: -s**3 - 8*s**2 - 386*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 < -0.246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 47 + 13 = 0. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.6 + -8. Let o = 1 + s. Let i = -89\/558 + -2\/279. Which is the nearest to -1\/2? (a) o (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let d(j) = -10*j**2 - 18*j - 29. Give d(a(l)).\nAnswer: -40*l**2 + 36*l - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c - 14. Let u(y) = -4*y - 3. Let o be 6\/10 - 1662\/(-30). Let j be -6 + 0 + o\/(-7). Determine j*u(z) + 3*d(z).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - t**2. Let b be (-5)\/(-2)*(1 - 33\/15). Let g(p) = -5*p**3 - 3*p**2. Let j be (0 + -2)*(-7)\/2. Determine b*g(r) + j*l(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123331 is divided by 39905?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - (-165 - -187).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 268483591*a*g + 115951765*a - 1 wrt g?\nAnswer: 268483591*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i - 10. Let f be n(-5). Which is smaller: 2\/53 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 52, 71, 86?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*y + 2 = 0, 31*b - 5*y = 35*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 6. Suppose -4*c - 4*i + 2*i + 6 = 0, 4*c = 3*i - 9. Does 2 divide m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 650*j**2*m*t*x**2 - j**2*t + 136*j*m*t*x**2 + 21*j*t - 2*j*x**2 + 15*j*x + 6*t wrt m.\nAnswer: 650*j**2*t*x**2 + 136*j*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 704, 160, -0.06?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -6*d + 10*d, 2*r = 6*d - 52. Let q(m) = m**3 + 3*m**2 + 6*m + 4. Determine q(r).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -n + 6*g - 19, 0 = n + 4*g + 14. Let u be (n\/(-12))\/(1\/(-8)). What is the tens digit of ((-48)\/(-18))\/(u\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 35 = -3*y. Let m be (6*y\/(-80))\/((-28)\/35). Find v such that -m*v**2 - 243\/8 + 27\/4*v = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 6*y**3 + 0*y**3 + 3*y**3 + (y**2 + 0*y**2 - 4*y**2)*(-2*y + 32 - 32).\nAnswer: 3*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-9))\/(311\/(-1866)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -27*q**2 - 14*q**3 + 35*q**2 - 14*q - 19*q**2. Let a(r) = -5*r**3 - 4*r**2 - 5*r. Give 11*a(u) - 4*o(u).\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -2048994.\nAnswer: -16\/1024497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t + 5. Let m be (1\/(-2))\/((-2)\/32). Let r = m - 8. Do r and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3 = 0, -23*y + 28*y = -5*m + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, m: 14}. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-42)*(-12)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*c + 28, 3*v + 3*c = -123 + 270 - 123 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11159796*b*f*m - 1404180*b*f - 2*b wrt m.\nAnswer: -11159796*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvevevevevv. Give prob of sequence eve.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460\/(-575)*(-1 + 21\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*i + 4528 = -1344 - 9080 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let h = 161 - 161.3. Which is the nearest to j? (a) -0.5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 14. Let b be 15\/25*35*1. Suppose -2*f + b = t, -4*f = -3*f - 5*t - 16. Calculate the remainder when f is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 7*s)*(9*s - 3 - 50*s + 2).\nAnswer: 123*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 7 + -41 + 35.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2\/3 + 3545*g\/3 + 33120 = 0.\nAnswer: -27, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100676571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/291 - 200\/873. Let j(i) = i**2 - 6*i - 7. Let w be j(7). Which is the nearest to w? (a) -2\/3 (b) -0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202443 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - ((-13)\/52 + 2\/8). Suppose j = 7*u - 30 + 2. Suppose -5*c + 32 = -u*n, 6*c - 3*n = 3*c + 21. Solve -2*a - 14 = -r, -6*r = -c*r - 5*a - 33 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*m + 4 = 0, 16*p + 4*m = 21*p + 5. Which is smaller: p or -4\/51?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210.21 + 210.21029018. What is x rounded to six dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/1*(322\/686)\/(-23)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 4 = 21*m. Put m, -3, -5, 0.5 in ascending order.\nAnswer: -5, -3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + 3*a + 4. Let t be p(4). Let q = -29 - t. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043679 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**3 + 11*w**3 - 65*w**3 - 39*w**3.\nAnswer: -75*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 14. Let t(b) = 2*b - 4. Let n be t(g). What is the highest common divisor of n and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 8*a**2 - 13*a - 10. Determine u(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9.7 (b) -4\/7 (c) -0.5 (d) -2\/5 (e) -0.3 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -31*c - 122 + 317 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 6*p + 165 = 0. Calculate the common denominator of (-1)\/p*435\/45 and -11\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 538 + -253. Calculate the remainder when l is divided by 59.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3186991 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 69, 177, 359?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n**2 - 4*n**4 + 48\/7*n**5 + 0 + 0*n + 4\/7*n**3 = 0. Calculate n.\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {p: 2, c: 1, v: 1, o: 10}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.618 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 10 + (-3 + 2 + 0)*(3 - 6 + 0))*(5*c**4 - c**4 - 2*c**2 - c**4).\nAnswer: -21*c**4 + 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 4*r**2 + 6*r - 6. Let d be 4 + (-2 - -1) + 2. Let z be k(d). Which is greater: z or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 40168035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 - 5*v**2 + 28*v + 1. Let u(y) = 2*y**2 - 7*y - 1. Let m(a) = f(a) + 4*u(a). Let h(c) = 20*c**3 + 8*c**2 - 8. Determine -3*h(x) + 8*m(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 minus 110?\nAnswer: -110.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*o + 544 = -1100 + 3828 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = 5*j - 155, 0 = -261766*j + 261764*j + p + 2*p + 5 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6091)\/(-7) + (-6 - 533\/(-91)).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8841 is divided by 1608?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 181048.\nAnswer: 26070912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10005540213 - 4?\nAnswer: -10005540221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m - 184*m**2 + 86*m**2 + 92*m**2 - 19*m to the form a*m**2 + l*m + j and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -260, -635, -1188, -1931, -2876?\nAnswer: -4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26650 = -2*c + 4*q, -66612 = -5*c + 4*q - 7*q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.46? (a) 9\/13 (b) -4 (c) -2\/15 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 3*o + 6, -5*w + 3*o = 18. Let l be -1 + 6 + 0\/w. Solve l*y + 7 = -3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114158 and 13584802.\nAnswer: 13584802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26393201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.5 (b) 0 (c) -4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a7a05 - 5?\nAnswer: a7a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10402463 (base 9) to base 10.\nAnswer: -5021004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*u**3 - 979*u**3 - 1006*u**3 + 2989*u**3 + 32*u.\nAnswer: -2*u**3 + 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64101 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16245 rounded to three dps?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 614159.9ml in litres?\nAnswer: 614.1599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02553 - 0.07447. Let l = 11 + -6. What is the nearest to 2\/7 in 1, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/72*-4 - 1\/(-2). What is the fourth biggest value in 0.4, 0.04, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 - 477. Sort -5, 14, v in decreasing order.\nAnswer: 14, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otvxovoovoocoxvo. What is prob of picking 1 t, 1 v, and 1 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781647785 to the power of 1\/3, to the nearest integer?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -418802 (b) 4\/7 (c) 1.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-9))*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2099 + -114. List the prime factors of c.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 4, -4*g = 5*c - 2*g + 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a2236 (base 13) to base 8.\nAnswer: 47263042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-8))\/(15\/40). Suppose 7*i = -u*i. Factor 0 + i*d**2 + 2\/15*d**4 + 0*d + 2\/15*d**3.\nAnswer: 2*d**3*(d + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m + 23. Let h be p(-8). Suppose 2*y + 31 = h. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 23*k**3\/6 + 167*k**2 - 3367*k. Give v(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1636, -22, 61, -1\/8?\nAnswer: 1636","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.3 (b) -5 (c) -1\/2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 1693*y**3 + 74204*y**2 - 72512*y.\nAnswer: y*(y - 1648)*(y - 44)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(-3)*0. Suppose p = -3*v + 3*o + 12, 0 = 5*v - 2*o - 18 - 2. Suppose -c + 4 = 3*f + f, 92 = 5*c - v*f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5874, -5817, -5722, -5589?\nAnswer: -5418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 12747*u + 221 - 894 - 12747*u. Let t(c) = 2*c**2. Calculate t(q(o)).\nAnswer: 8*o**4 + 5384*o**2 + 905858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.062 - 0.362. Which is the fourth smallest value? (a) -1\/2 (b) -8 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1423623*i**2*o**2*x - 41*i*o**2*x - 109*i*o*x + o**2*x wrt i?\nAnswer: -2847246*o**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 80*i**3 + 312*i**2 + 880*i + 484.\nAnswer: 4*(i - 11)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/7)*d*d**(1\/17) assuming d is positive.\nAnswer: d**(143\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1480694017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14476120*2.\nAnswer: -28952240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*t + 25 = 0, 26*i - 22*i + 35 = 3*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 120. Suppose 828 = 5*d - r, -4*d + 3*r + 492 = -d. Suppose 5*t + 5*a = 145 + s, 4*t = -5*a + d. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/19219068 and -149\/828.\nAnswer: 442038564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -11. Calculate the common denominator of -65\/18 and z\/6 - (-582)\/108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 + 6*x**4 + 3*x**4 - 5*x**4 - 2 with respect to x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**3 + 8*a**2 - 6. Let y be r(7). Let v = 823 - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 93*o**2 - 195*o + 1425. Give k(91).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**3 + f + 2 - 2 - 4*f wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 z, and 2 h when four letters picked without replacement from {b: 1, o: 1, y: 3, z: 1, f: 3, h: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 - 6)*3*(-1)\/9. Is 5 - (-2 + 2) - (-230 + d) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/27))\/c)\/(c*(c*c**(-37))\/c) assuming c is positive.\nAnswer: c**(970\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 46 + 382. Let s = i - -200. Let x(y) = -14*y + 1. Let w be x(1). Are s and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 18*q + 4327. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3 = 6*t - 4*t, 3*v = t + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37762000 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 7, -3.\nAnswer: -3, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let r(g) = 105*g + 42. Let i(q) = -736*q - 310. Let s(a) = -2*i(a) - 15*r(a). Determine s(j(m)).\nAnswer: 103*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5528, 22102, 49726, 88400, 138124, 198898, 270722?\nAnswer: 353596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {e: 2, a: 4, o: 5, i: 3, p: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + n + n)*(-2*n + n + 0*n) - 1 - 2*n**2 + 1)*(-90*n - 130*n + 134*n)*(1 + 2 + 0)*(3 - 2 - 3).\nAnswer: -1548*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 3*c**3 + 0*c**2 - 2*c**4 - 3*c**2)*(4 - 3 - 6 + (0 - 3 + 5)*(1 + 2 - 4)).\nAnswer: 14*c**4 - 21*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c + 4. Determine b(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 31, 68, 119?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 310 and 258695.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -559 - -1145\/2. Let k = -28 - -41. Let l = k - r. What is the nearest to 0.2 in -2, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in 0.5, 1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -14, 4, -1, -4 in descending order.\nAnswer: 4, -1, -4, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17214556 to the nearest integer?\nAnswer: 4149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968633 to the power of 1\/2, to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/1800 - 2*r**3\/3 + 3*r. Let c(i) be the second derivative of p(i). Factor c(o).\nAnswer: -o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + h - 19. Calculate l(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 7*y - 507. Determine h(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8, -y - 248 = x - 249. Let k be 4\/(-6) + 83\/3. Suppose 0 = 5*q - x*r - k, -6*q + q - 3*r + 33 = 0. Solve -q*g = -g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16073c6 (base 13) to base 16.\nAnswer: 6be397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t + 42*t - 6 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -5832?\nAnswer: -5840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133) + sqrt(133)*-2*-4)*1)\/((3*-1*sqrt(70))\/(sqrt(30)\/sqrt(3)*-5)).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 4. Let j(r) = -3*r - 9. Let m(f) = 4*j(f) - 9*o(f). Let c(q) = 850 - 56*q**2 - 1703 + 853. Calculate c(m(u)).\nAnswer: -504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -663, -2640, -5937, -10554, -16491, -23748?\n\"Answer: -660*x**2 + 3*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 3 + 19 + 1. Let r(o) = -2*o**3 - 8*o**2 - 2*o - 6. Let w be r(-5). What is the highest common factor of k and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by ((-204)\/9 + -35)\/(2\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -308, 6, -4 in descending order.\nAnswer: 6, -4, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(2\/(-54)). Let f = 16 - y. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*z = 18*z - 336 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:39 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.7 + -13.1. Which is the third biggest value? (a) u (b) -2\/7 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232959363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1*4\/(-6). Suppose 0 = 2*l + 3*s - 8, -t*l + 40 = -6*s + s. Let w be l + (-3 - (-3 - -1)). Solve 0 = 2*m - 5*m - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102212 (base 3) to base 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 987 - 1000 = -d, -5*b - 5 = -5*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l + 4 - 2*l**2 - 3*l**2 - 4 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 50, 152, 336, 626, 1046, 1620, 2372?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 12 - (7 + 1 + (-53 - -20 - -20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 7, f: 1, q: 3, c: 1}. What is prob of sequence yfc?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 117 = -51. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - 1 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:43 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -450, -1683, -3688, -6459, -9990, -14275, -19308?\n\"Answer: s**3 - 392*s**2 - 64*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 548 - 540. Is o\/(-16) + (-22819)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((2 - 3) + -9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 16?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3703 + 5322. List the prime factors of x.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127095139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61520305, 123040611, 184560917, 246081223?\nAnswer: 307601529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 3*g - g. Let o(r) = -2*r + 2*r**2 - r**2 + 2*r. Calculate o(p(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5 (c) 1\/5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 2. Let y(p) = -6*p + 5. What is 8*v(i) + 3*y(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2 - 15) + -33 + 70.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/211003 or 1?\nAnswer: 3\/211003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29897209 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -15, -2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:07 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115801 a multiple of 1631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 61. Solve -5*o = 5*t - k, 3*t + t = 5*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26\/7 of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 68. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*q - 908*q**2 - 39*q + 2 - 124*q**2 + 61*q to the form x + b*q**2 + g*q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 53. What are the prime factors of (-54855)\/(-253) + 2\/11*x?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 6. Let m(h) be the third derivative of -1\/30*h**5 + h**2 + 0*h**4 + 0*h**n + 0 + 0*h. Let s(f) = f. Give m(s(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/516 and 95\/688.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s + 3. Calculate k(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-21)\/6 - -4). Let v be (61794 - -6)\/(a\/100). Round v to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 70. Let w(o) = -11*o**3 - 17*o**2 - 17*o + 6. Let z(k) = -2*k**3 - 3*k**2 - 3*k + 1. Give b*z(m) - 6*w(m).\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14977979?\nAnswer: 1901, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - -5*(sqrt(396) + -1*sqrt(396))) + (sqrt(396) + 1 + 5 - sqrt(396)).\nAnswer: 6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*sqrt(187)*5)\/(sqrt(11) + -2*-1*sqrt(11) + -6*sqrt(11)*-2).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 135*h**3 + 660*h**2 - 800*h.\nAnswer: 5*h*(h - 1)*(h + 8)*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.295102ml?\nAnswer: 0.008295102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 4*b**2\/3 + 340*b.\nAnswer: -b*(b - 34)*(b + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/((-3685)\/(-242)))\/((-3)\/(-15))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -10. Let m be v\/2*(1 - -27). Is 14\/(-3)*72\/m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 78\/7 + 2\/7*j**2 + 80\/7*j = 0. What is j?\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -896 less than -896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/3 - 8*j**4 + 284*j**3\/3 - 240*j**2 + 18*j + 360 = 0 for j.\nAnswer: -20, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 - 83. Suppose 0*y + 3*y + 4*a - u = 0, 3*y - a - 31 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -577130, -577149, -577166, -577181, -577194?\nAnswer: -577205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 6. Let c(i) = 3*i - 9. Suppose 0 = 6*g - 3*g + 15. Let m(x) = g*c(x) + 7*n(x). Is m(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2 + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047162 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746707.\nAnswer: 13, 71, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -3*c + 0*c**2 - 8\/3*c**3 - 2. Find the first derivative of k(m) wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -61*s**6\/6 + 4429*s**3\/6 - 3427*s**2. Find the first derivative of f(y) wrt y.\nAnswer: -3660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*z - 382*z - 6 = -3*b, 0 = -2*z + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/47)\/b)\/b*((b*b\/(b\/(b\/(b*b\/(b**9\/b)))*b))\/b)\/b)**(2\/37))**42 assuming b is positive.\nAnswer: b**(11676\/1739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.66 - -6.1.\nAnswer: 6.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o - 3. Let y be f(3). Suppose -3*v - 2*x = -2*v + 3, -5*v - 5*x = y. Solve -5*w - 2*p - 15 = 0, -w - 3 = p - v*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509508 divided by -812.\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + 240. Suppose 4*x = -4*r + s, -2 - 1 = -r + 5*x. What is the remainder when 23 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 2*l**2 - 229*l**3 - 158*l**3.\nAnswer: -387*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192838.\nAnswer: 2, 596419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47615856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 17 = 16. Solve 2*i + 2 = -2*u, -i + 5*i - s = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r + 63*r = -168*r - 282. Let x(i) = 3*i**2 - 12*i - 4. Let v(p) = -p**2 + 6*p + 2. Give r*x(g) - 5*v(g).\nAnswer: -g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 139\/13?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164531757.\nAnswer: 3, 13, 4218763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -208, -4, -8, 3 in decreasing order.\nAnswer: 4, 3, -4, -8, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a96a (base 13) in base 9?\nAnswer: -35308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -1*(-1)\/(-1)*1. What is the derivative of 2*l**4 - 42 - 3*l**j - 31*l + 29*l wrt l?\nAnswer: -4*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/2, 13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1996722 + 3163*d - 1996722 in the form m*d + b and give m.\nAnswer: 3163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/56 and -83\/876.\nAnswer: 12264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(17)*-2 + 2 + sqrt(17) + sqrt(17) + 4 + sqrt(17) + sqrt(17)))**2.\nAnswer: 640*sqrt(17) + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24*u**2 - 2. Let b(v) = -146*v. What is b(y(m))?\nAnswer: -3504*m**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*t + 591, 4*t = -i - 2*i + 585. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -52*x**2 - 2*x + 1. Let d(w) = -51*w**2 - 3*w + 1. Let t(c) = 2*d(c) - 3*n(c). Is t(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2 + s**2 + 6 - 5*s + 4*s + 8*s. Let p be c(-6). Suppose o + p*d - 20 = -0*o, -52 = -3*o + 2*d. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9710093nm?\nAnswer: 0.0000000009710093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3200)\/(-4000)*10\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 3 (b) -1\/5 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -543 (c) 7 (d) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.16, 39131?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:53 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-378)\/45)\/14 - -6) + 2\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*c**4*p + c**3 + 467*c*p**2 - 726*p**2 - 76 wrt c?\nAnswer: 140*c**3*p + 3*c**2 + 467*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36684 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7477228 is divided by 623100?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 4, z: 13}. What is prob of picking 1 z and 1 f?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1)\/2*-4. Suppose q*k - 3*k + 3*d = -9, 0 = 2*k + 2*d - 2. Suppose p = 2*v + k*p - 41, 3*v - 94 = 5*p. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9749618341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -3 (c) -1359368 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9855\/3052 - -49\/109. What is the common denominator of r and -65\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 37*u**7\/1260 - 5*u**4\/12 + 33*u**2. Let o(w) be the second derivative of b(w). Let z(k) = -k**2. Determine z(o(q)).\nAnswer: -5476*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -29*d**2 - 8. Let s(m) be the third derivative of 29*m**5\/30 + 5*m**3\/2 - 2000*m**2 - m + 2. What is 11*n(f) + 6*s(f)?\nAnswer: 29*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 60 = -1080. What is h rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/140 - n**4\/28 - 312*n**3\/7 + 58*n**2 - 9*n. Factor z(k).\nAnswer: 3*(k - 26)*(k + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510710924?\nAnswer: 2, 41, 3114091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 120 = 5*t, -t + n + 79 = 3*t. Calculate the remainder when (-14)\/7 - (-119 + 0) is divided by (-62)\/(-6) - 7\/t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + 2.9. Let y = 57.7 + -57.4. What is the nearest to 0 in y, d, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-14)\/(-637)*14.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:02 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*y - 2*y + 35*y)*(2*y**2 - y + y) - 6*y**3 + 8*y**3 + 3*y**3 - y**2 as w*y**2 + u*y + o*y**3 + b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10086285 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/2 + x**2 + 5*x. What is the units digit of o(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408090*i = 408118*i - 560 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88016, 352031, 792040, 1408031, 2199992, 3167911?\nAnswer: 4311776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 29 - (4 + -1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 33171?\nAnswer: 3980.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 1.5. Which is the second smallest value? (a) x (b) -0.1 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.095 - 0.095. Which is the smallest value? (a) t (b) -78 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50022763 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4326)\/(-98) + (-24)\/(-56)*5\/(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30)\/(4\/(25*2\/(-2)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from skbha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 265 + -265. Let t = -1143\/7 - -163. Let n = -53.2 + 53.1. Which is the closest to t? (a) n (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1108731.8204 + 1108263. Let a = l + 469. Round a to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*u + 60, -3*t + 51 - 7 = 5*u. Let l = t + -14. Let k be (1\/l)\/((-5)\/(-10)). Which is the second smallest value? (a) -2\/9 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(6\/5)\/((q*q\/q**2*q*q)\/q)**49 assuming q is positive.\nAnswer: q**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzgmmggzm. Give prob of sequence ggm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/(-135))\/((-6)\/15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:05 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226938894.\nAnswer: 2, 3, 7, 13, 59377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, i: 5}. Give prob of picking 2 y and 2 i.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67939102 to 3 dps.\nAnswer: 0.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 11*a**3 - a - 12*a**3 + a**2 + a**4 + 3 + 1 - 5 in the form j + i*a**4 + b*a**2 + x*a + g*a**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -2429 - 2177. What are the prime factors of k?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 3. Let l be g(4). Suppose -l = -3*q - 3*z + 30, 5*q - 38 = 4*z. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2573118 and 137\/129096.\nAnswer: 113217192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 13)*(-5)\/3. Solve 0*b + 2*k = 3*b + 22, 5*b + 2*k = -f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/168 and 199\/375144.\nAnswer: 375144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 11*o**2 - 25*o + 16. Let i = 32 + -45. Let n be d(i). Let r(c) = -3*c + 13. Let m be r(n). Solve 3*b + 0*b + 11 = t, m*b - 2 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778397307 to the power of 1\/3, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1876.3 times 0.5\nAnswer: -938.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.07 - 0.07. Sort l, 0.3, -1 in increasing order.\nAnswer: -1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1545918\nAnswer: 309183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -11*k**2 - 1\/6*k**3 - 1\/12*k**4 + 0 + 0*k + 1\/20*k**5. Let y(j) = -j**2 - 1. Calculate -u(n) - y(n).\nAnswer: -2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1. Let r(p) be the third derivative of -p**5\/20 + p**3\/3 + 21*p**2 + 81*p. What is -r(t) - s(t)?\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-3)\/p)\/p*p*p)\/p*p\/((p**(-3)\/p)\/p)*(p\/p**(-6))\/p**(1\/3)*(p**(-2\/3))**(-35\/2)\/((p*p\/p**(-1))\/p*p)**(-8) assuming p is positive.\nAnswer: p**(136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3835, 18041, 41731, 74911, 117587, 169765?\nAnswer: 231451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 320*j + 320*j + 20827*j**2.\nAnswer: 20827*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 - b + 4*b**5 - 3*b + (-5*b**3 + b**3 + 3*b**3)*(-3*b**2 + 2*b**2 + 0*b**2) + 4*b**5 + 2*b**5 - 3*b**5 + 3*b**5 - 5*b**5 + 3*b**5.\nAnswer: 4*b**5 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 33 = 3*t, 0 = -5*t + 3*u - 4*u - 6313 + 6361 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*y + 70, 24 = -3*m + 4*y - 10. Let v = 1248 - 5045\/4. Calculate the common denominator of 184\/m - (-6)\/2 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6557549050?\nAnswer: 2, 5, 13, 79, 127703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**3 - 14*w**3 - 11*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1164356.991s?\nAnswer: 1.9251934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 4, t: 1, k: 4, b: 1}. What is prob of picking 2 v, 1 t, and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/4959548 and -155\/1452.\nAnswer: 14878644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 2, s: 4, z: 1, j: 2}. What is prob of picking 1 z and 3 s?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39341 + 59360. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9 - (-7 - -16 - (8 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 21 - 2*i - 21. Let b(m) = -18*m. What is b(j(f))?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 2. Let l be n(-3). Find the third derivative of -3*w**2 + l*w**6 - w**6 - 11*w**6 wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2\/3, 12, 2\/13 in increasing order.\nAnswer: 1\/10, 2\/13, 2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207.4 * -736.89.\nAnswer: 152830.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*c = 0, 0 = 3*c - 0*c - 6. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3199 - 3194. What is the biggest value in 1\/2, b, -5\/3, 2\/111?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/7)\/(7\/(-504)*15).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.22 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.98 + -0.02. Let s = -1.9 + -6.1. Let n = s + 13. What is the biggest value in -4, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenenneeeeene. What is prob of sequence nn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*l**2 - 88*l**2 + 176*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h + 0*h)*(-2*h**4 - 7*h**4 + 2*h**4).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -6. Let v = 6 + -2. Suppose 3*o = x + 2*o - v, 0 = -5*x + 4*o + d. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.89*0.5.\nAnswer: -11.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 3*f - f)*(-f**2 + 4 - 4) + 116 - 119 + 26286*f**3 - 13137*f**3 - 13140*f**3 - 369*f to w + x*f + t*f**3 + l*f**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/12 - u**3\/3 + 15*u**2\/2 - 5*u. Let t be p(-5). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041 is divided by 628?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*t + 211 = 248, 0 = -7*p + 25*t + 239 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2 + 4*y + 0*y)*(3*y - y + y) - 14 + 6 - 5 + 2*y**2.\nAnswer: 26*y**2 - 6*y - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21146.71192 - -93.24908. Let p = i - 21265. Let l = -25 - p. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 76.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 - 7.2. Let b = 3 + w. Put b, 5, -0.2 in decreasing order.\nAnswer: 5, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33112 (base 16) to base 5.\nAnswer: 23143140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -163845.1 rounded to the nearest one hundred?\nAnswer: -163800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 24*h - 2*o = 10*h - 4*o, -19 = -4*h + 10*o - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**3 + 3*h**2 - 13*h + 24. What is the least common multiple of 15 and r(2)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -522 - 2102716?\nAnswer: -2103440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/260)\/(6\/(-5))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690813, 1381619, 2072423, 2763225, 3454025?\nAnswer: 4144823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 376 + -259. Let h = 116.9999706 - u. Round h to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 611 + -609. Let y(o) be the second derivative of 0 + 0*o**k + 7*o + 1\/6*o**3. Let i(m) = 9*m. What is y(i(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/16*(-15)\/(-25).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23193?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66185 and 570.\nAnswer: 7545090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2341444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10662 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amn when three letters picked without replacement from axnamwu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-28)\/b**(1\/16))\/((b*b\/(b\/(b*b**(-6\/19))*b))\/(b**30\/b*b)) assuming b is positive.\nAnswer: b**(381\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.02158502 to 2 decimal places.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3995 + -3841. Calculate the remainder when t is divided by 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265369224?\nAnswer: 2, 3, 577, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.302 and -114.37.\nAnswer: -114.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**2\/5 + 78*y\/5 + 48 = 0. Calculate y.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(408\/136*(-14)\/(-21)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85423328*w**4 + 23717492*w**2 wrt w?\nAnswer: 2050159872*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-8 - (-96)\/10)*10 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2. Let b(o) = -13551*o**2. What is b(m(t))?\nAnswer: -216816*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus 128?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (-1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1012022110 (base 3) to base 8\nAnswer: -56004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.61 + 88.61. Let q = 91 - l. Which is the nearest to -2\/7? (a) q (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391.945 - 0.0797278.\nAnswer: -392.0247278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = c, -b - 3*b = -3*c - 20. Let g = 6 + c. Suppose 2*a + 0*a - g = 0. Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452641870 a multiple of 5905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 448193?\nAnswer: 5\/448193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10011010011111110?\nAnswer: -10011010011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 465939688?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*r - 0*r. Let v = -8 + r. Let s(o) = o**2 - 2*o - 3. What is the units digit of s(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73\/331 in 17, 0.1, 109?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -38 (c) -0.2 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6))**(-2\/51)\/(y**(1\/5)*y\/(y*y**10)*y) assuming y is positive.\nAnswer: y**(6737\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -92*g + 11. Determine o(1).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10267.9 + 10271. Sort 0.03, 0.5, t, 1 in decreasing order.\nAnswer: t, 1, 0.5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 270*s + 981*s**3 - 10 - 2862*s**3 + 4 - 3970*s**3 wrt s?\nAnswer: -35106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 20. Let w(g) = g + 21. Let f(q) = 3*w(q) - 4*y(q). Let j be f(-5). Let x be 48\/(2 - 0)*j\/(-18). Solve 4*c - 4 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -75.2. What is the closest to h in -1\/3, -2\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 219*h**2 + 11*h + 77. Is j(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10008, -19986, -29940, -39876, -49800?\n\"Answer: -g**3 + 18*g**2 - 10025*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 806345034976 from -5.\nAnswer: -806345034981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 1 + 3626 + -3640\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + 6*(-4 + sqrt(11)).\nAnswer: -19 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2080.6 or 2?\nAnswer: 2080.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14695511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -47*b**7\/210 - 13*b**4\/8 - 17*b**2. Find the second derivative of a(z) wrt z.\nAnswer: -564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279444 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195390 = 4639*o - 34934 + 115009 + 165240 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -9, -6, -5, -4 in descending order.\nAnswer: -0.13, -4, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 + 4*q**2 - 3*q + 1. Let f be u(2). Let t = -55 - -54.8. Let n = -0.23 + 0.13. Which is the nearest to t? (a) n (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*u + 12, -5*u - 2 = -3*k + 30. Suppose k*r = -4*n + 2*r + 22, -2*n = -5*r + 7. Solve 0 = -n*x - 0*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 2401, 5426, 9681, 15178, 21929, 29946, 39241?\nAnswer: 49826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.2. Let q = 170 - 171. What is the nearest to q in -0.06, -3\/7, p?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/4? (a) 1\/4 (b) 4\/3 (c) -3\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80619, 80620, 80621, 80622, 80623?\nAnswer: 80624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5.3. Let v = 0.7 + x. What is the nearest to -1 in 2\/19, v, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7657788371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23b70 (base 12) to base 11\nAnswer: 33341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.318 + -0.028. Let o = s + -9.29. Let t = o - -9.0074. What is t rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -39. Let l = 26 - g. Which is the third smallest value? (a) -2\/9 (b) 3\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-8)\/(-12)*3\/(-2). Let r = 8 + -4. Let p = 7 - r. Solve -2*a = -w*a + p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:00 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*p - 463*p = 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**2 - 1364*i - 5597. Give p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.69755583 - -57.72863. Let d = o + -0.0330746. Let n = 0.002 + d. Round n to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4411*p**2*r**2 + p**2 - p - 14*r + 54 wrt r?\nAnswer: -8822*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64795\/24 - -10815\/4. Let a be (-21)\/35 - ((-358)\/30)\/1. Let c = v - a. What is the common denominator of 67\/20 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((1 + sqrt(363) - sqrt(363) - sqrt(363))*2 + -1 + sqrt(363) + (2*sqrt(363) - sqrt(363))))**2 + 2)*-2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 5*k**5 - k**5 + (-2*k + 3 - 3)*(4*k**4 - 6*k**4 + k**4) + 721*k**3 + 68*k**5 - 363*k**3 - 360*k**3.\nAnswer: 72*k**5 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.75024 months in centuries?\nAnswer: 0.0456252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x - 261 - 267 = 22*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**(-3)))\/u))\/u**5)\/((u\/((u**(-4)*u)\/u))\/(u*(u**(-1\/3)\/u)\/u*u*u))*((u*u**6)\/((u\/u**7)\/u))**10 assuming u is positive.\nAnswer: u**(407\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, o: 1, b: 1, n: 1}. Give prob of picking 1 l, 1 i, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296182, -2\/3, -43 in descending order.\nAnswer: -2\/3, -43, -1296182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1506474 and 1213866.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53676 and 214704.\nAnswer: 214704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/6 - -5\/12. Let x = 16 + -16.87. Let q = 4.13 - x. What is the second biggest value in q, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38690 and 11210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1507*t + 47 + 50 + 1366*t - 97.\nAnswer: 2873*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.58 (b) 7\/18 (c) 0.1 (d) 4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.94 times -0.116?\nAnswer: -17.62504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -30. Suppose 14 - c = m. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8085 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 41. Let y be 42\/4*h\/30. Solve -2*w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 19*m - 111. Give c(26).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5 - 1914*2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 + 198. List the prime factors of (222\/4)\/(n\/70).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1840 = 5*u + 4*t, u - 6*t = -10*t + 384. Suppose 336*a - u = 332*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 3*j**2 - 6*j - 3. Let z be n(-4). Suppose 55 - z = -2*h. Suppose -h = -3*i + 14*i. Which is greater: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsqkqsmmu. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1408 by 1.\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16617*0.15\nAnswer: -2492.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -970?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -187817, -375676, -563549, -751436?\n\"Answer: -7*a**2 - 187838*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(12\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 518 + -672 - (0 + -24) - (-4 - (0 + -2))\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l - 75. Let v(p) = 4*p. Give c(v(b)).\nAnswer: -80*b - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 30. What is the greatest common factor of 54 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**2 + 13*f - 2. Give c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13623 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54, -38, -5, 1, 58 in ascending order.\nAnswer: -54, -38, -5, -3, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 357 = 9*c. Let z = c + 109. Is 2835\/25 + 4\/z*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 11871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h + 294 = -4*t, -5*t + 3*h = 376. Is -75 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44476007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/9*(-12 + 0). Let i be (-108)\/(-30) - y\/(-10). Which is bigger: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1807\/136 - 111\/8. Let r(n) = n**2 - n - 600. Let q be r(-24). Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h - 83*h = 48. Let t = 0 + -0.1. Which is the third biggest value? (a) h (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*81\/594)\/(-1 - (-28)\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 70442809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {e: 1, s: 1, z: 4, y: 7, t: 3}.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1715522 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 2 = 15*v. Factor 1 - 2*n - 13\/4*n**4 + 17\/4*n**v - 3\/4*n**2 + 3\/4*n**5.\nAnswer: (n - 2)*(n - 1)**3*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 22. Suppose 0 = w - 0 + y. Is (-2)\/w + 7665\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -1.7. Let w = 5 - g. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixteenths of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnllyllnnlllnnln. What is prob of sequence ylll?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -4*x - 8, 2*t = -x - 2. Suppose t*v + v = 0. Solve 3*d - 6 + v = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132055531 + 3?\nAnswer: -132055524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*j**3*x + 7*j**3 + 2*j**2*x - 2954*j*x wrt j?\nAnswer: 762*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94075 and 1102225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:38 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, -2 in descending order.\nAnswer: 16, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 12 = -4*p + 14, -5*p + 29 = -2*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1445\/850 + (-5)\/2. Which is the closest to 1\/2? (a) r (b) -2\/3 (c) -6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + (-404)\/(-44) - 3. Let v be 5*((-489)\/165 + 3). Solve 0 + v*o**2 + h*o**3 - 4\/11*o = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338\/26 - (4 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 0*v - v**3 + 1\/60*v**5 + 0 - 12*v**2 - 5\/24*v**4. Give w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 1 + 2 + -47 + (-27 - -65)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*k = 25, 4*k - 40 = -85*z + 81*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/20 - q**4\/6 - 11*q**2. Find the second derivative of v(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m. Suppose -z + 5*v - 25 = -2*z, m = 4*v - 16. Solve -2 = -z*r + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862642.8 millennia to centuries.\nAnswer: 8626428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.1, 6, -1.7, -1268 in ascending order.\nAnswer: -1268, -1.7, 0.1, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 262. Calculate the highest common divisor of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -550, -1111, -1674, -2239, -2806, -3375, -3946?\n\"Answer: -m**2 - 558*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 - 7*t - 4. Let l be a(-6). Suppose 2*k = -l*k + 16. Is (-10)\/k*2*-1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/8349726 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/((-220)\/(-16)) - 98\/(-10). Solve -4*m - 5 = -d*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-35))\/((-72)\/54)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 13 - 6\/(-9)*(-2 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:50 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(10\/9)*q)\/q*(q**(-24)\/q)\/q)\/(q**3\/q**8) assuming q is positive.\nAnswer: q**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31818039889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2221304 + 17982704. Round f to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/4 - 1612*b - 29097 = 0. Calculate b.\nAnswer: -18, 6466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617175 take away -0.5?\nAnswer: -1617174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/5 + 4. What is y in 6\/5*y - b - 1\/5*y**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1) + (-2 - -6). What is the second derivative of 8*n + 0*n + n**2 - y*n - 3*n wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (727 - 385*g**2 - 727)*(-9 - g + 9)*(3 - 2*g - 3) to v*g**4 + p*g**3 + x*g + t + d*g**2 and give v.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291.999809 + -292. What is z rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-102)*(-3)\/54\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fazcfzyyb. What is prob of sequence acb?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422.2313 centimeters to meters.\nAnswer: 4.222313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + q = 76, 0 = 2*p + 2*q + 280 - 232 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g + 15*g**2 + 2*g)*(1 - 1 + 2*g**2) in the form q*g + b*g**2 + r + d*g**4 + z*g**3 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82417123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 1298 = -2512. List the prime factors of n.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7322458 (base 9) to base 8\nAnswer: 16730777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23478 and 30?\nAnswer: 117390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1 - 5 - 1409*m + 4 - 4. Let q be n(-2). Suppose -q = -2*a + 4*i, 2*a + i = -i + 2844. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 + 4624.2\nAnswer: 4624.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:15 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*a - 4*a. Let f be (-372)\/(-8) - (-4)\/a. Suppose 4*q + 70 = 5*b, 3*b = -2*q - 5 + f. Solve 3*i - b = 2*n, 0*n = -5*n + 4*i - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 - 5922000*m**2 - 1753510121985*m - 3506996556010 = 0.\nAnswer: -592199, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -19 + 15. Suppose 5*n = r - 6. What is the biggest value in -3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -416.662 (b) -7 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55278 - -89204. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/6*16\/35. Let z = 2.983 + -3.083. What is the second smallest value in z, y, -6, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5509 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/12 + 87*r**2. Suppose -5*b - 4 - 1 = 0. Let d be -2 - b - (0 - 6). What is n(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 295 and -1871.\nAnswer: -551945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1)*(0 + -3). Let d = h + 9. Suppose -5*t - d*z + 389 = 0, -6*t + t + 405 = -5*z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 u when four letters picked without replacement from uaaaojaoooojoj.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 332 = 5*r - 343, -4*r + 10 = -2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 95.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 1, 44, 81, 3, 0 in decreasing order.\nAnswer: 81, 44, 3, 1, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*q - 28. Sort 2, -1, q, -2 in descending order.\nAnswer: 2, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8384838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3296 is divided by 1076?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294252997 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*p + 5*a, a = -p + 4*a + 7. Suppose 0 = -t - 45 + 128. Let j(b) = -2*b**2 + 3*b + t - 86 - b**3 - 6*b. What is j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/9 (c) -2\/101 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5577187745 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496280.\nAnswer: 2, 5, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266063341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3781 = -0*u - 3*u - f, 0 = 2*u - 3*f - 2517. What are the prime factors of 2\/((-5)\/(u\/(-8)))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l + 4*l, 4*l + 12 = 5*n. Suppose 8 = 4*z - n*z. Let d be (-1 - 3)\/(z - 4). Solve 0*k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2282181306 to the nearest integer?\nAnswer: 47772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:17 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/2653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + -8 - (-2388 - (3 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6*o - 6*o - 3*o)*(-21*o + 8*o**3 + 21*o) - 4*o**4 - 2*o**4 - 4*o**3 + 2*o**3 as l*o**3 + s*o**4 + k + w*o**2 + u*o and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 53*c - 664. Let t be i(-33). Let x = 3.08 - 0.08. Sort x, 15, t in descending order.\nAnswer: 15, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 2\/19, 5, 3, -10, -1505\/8, 3\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 701 = 3*o, -5*o = 5*w - 4*w - 1187. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 83. Calculate the lowest common multiple of v and -1*1 - (-18)\/(-27)*(-1515)\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 34*j + 38. Determine b(34).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -279\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = h + h. What is the lowest common multiple of h and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 1 + -2 + -1. Suppose -p - s = -3*z, -2 + 4 = 5*p + 2*z. What is the third derivative of p*b**2 - 2*b**6 + 5*b**2 - b**2 - 3*b**6 wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 975726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136291974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g + 3*o, 0*o + 1 = g - 4*o. Let r(f) = 3 + 5*f + 3 + 2 + 0*f. Let i be r(g). What is the highest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142679024*h**3 + h**2 + 39440786*h wrt h?\nAnswer: -856074144*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/(-17)*((-4)\/1)\/60?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/52)\/c**(-38)*c**(-28)*c**32 assuming c is positive.\nAnswer: c**(2183\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 171626825239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5064 and 1080.\nAnswer: 227880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 0, -o + 4*i = 4*o - 8. Solve o = 2*w + m - 4, w = 3*m - 5 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - -2123?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -138 - 51?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 113 (b) 109\/3 (c) 6 (d) -2\/13 (e) -3\/34 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60470 greater than or equal to -2479252\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -47205122.\nAnswer: 236025610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -3.97. Let v = n + 4.8. Let u = -0.7914 + v. What is u rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y - 3 - 2 - y**2 + 7. Let d be w(10). Let t(z) = 3*z - 16. Let b be t(7). Solve -3*f - d*f - b = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144 or 1739?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 353?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6260, 6235, 6218, 6215, 6232, 6275, 6350?\nAnswer: 6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.04 in -5556, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2 + 0*k**2 + 3 - 3*k**2 + 8*k**3 - 7*k**3 - 5*k. Determine z(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -634.2 - -634. Which is the closest to 1? (a) w (b) 0.01 (c) 1 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 + 176*v\/3 - 3872.\nAnswer: -2*(v - 132)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(-4))**(-2\/13)*((o\/o**(2\/3))\/o)**(-44)*o\/o**(1\/5)*o*o*o*o*o\/(o\/(o\/o**(-4))*o)*o assuming o is positive.\nAnswer: o**(7691\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8271950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -970 = 85*a + 1346 - 276 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/60 - i**4\/12 + 7*i**3\/6 + i**2. Suppose n + 11 = 2*z, 3*n = -z - 0 - 5. Let x be (-1)\/((-32)\/(-10) + n). What is c(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let c(v) = 2*v**2 - 2*v + 4. Suppose -q + 0 + 11 = 0. Let f = q - 10. Give f*c(u) - 4*w(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 80 = -4*g, -f = -4*g + 19 + 53. Let p be 4\/(-2) - (-8)\/(-2). Let x be 2\/p*-3*152. What is the highest common divisor of g and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36303 * 0.6.\nAnswer: 21781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -682*o - 226403. Determine q(-332).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-36))\/(8*(-2)\/1872). Which is the nearest to n? (a) -3 (b) -0.5 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m - 1. Let v be 3\/2*m\/9. Let u = 19 + -18. Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 864.1, -2\/9 in ascending order.\nAnswer: -2\/9, 2, 3, 864.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 614*c**4 - 807*c**2?\nAnswer: 120*c**2 + 14736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1150 and 329220850.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let k = -1.3 - 0.7. Which is the second biggest value? (a) h (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 55 - 2\/3*d**3 + 1\/2*d**2 + d. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 - 3*m - 50. Let w(l) = -13*l**2 - 7*l - 101. Determine 7*n(v) - 3*w(v).\nAnswer: -3*v**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 15\/8 (c) -3\/2155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 16 = -4*v, 44*w - 5*v - 25 = 40*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 347 - 316. Let i(f) = 39 + j*f - 17*f - 37 - 46*f. Let v(y) = -2*y. Calculate v(i(z)).\nAnswer: 64*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -21*b**2 + 6*b. Let z(k) = -22*k**2 + 7*k. Determine -7*o(u) + 6*z(u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11352 + -11352. Let o(h) be the second derivative of 29\/2*h**2 - 31*h - 5\/12*h**4 + 0 + l*h**3. Differentiate o(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66031, -132111, -198213, -264349, -330531?\nAnswer: -396771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 14*x**3 - 4*x**2 + 3*x. Suppose -47716*c - 924 = -47749*c. Calculate the remainder when m(2) is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -39 - 32 + 28 - 17 + z**2. Let t(x) be the first derivative of -x**2\/2 - 1637. Determine u(t(w)).\nAnswer: w**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3032 = 2*p - 5*t, 3*p - t = 4543. List the prime factors of p.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92c8 (base 16) to base 12.\nAnswer: 198b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*f + f. Calculate the remainder when 31 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b - 6. Let c(u) = u**2 + u - 1. Let q(n) = -n**3 + 1. Let o be q(0). Let d(j) = o*m(j) - 2*c(j). Factor d(s).\nAnswer: -(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a - 2250 = 39*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 25, -5*r + 4*g + 1255 = 150. List the prime factors of r.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 63, 140, 245, 378, 539?\n\"Answer: 14*c**2 + 7*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 - 1 + 2 - t - 5*t. Let x(m) = -m**2 - m. Let g(q) = -b(q) + 6*x(q). What is the first derivative of g(p) wrt p?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -7*n**5\/3 + 37*n**4\/3 - 22*n**3 + 44*n**2\/3 - 8*n\/3 = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 2770?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 41 - 27 = 0. What is the highest common divisor of v and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (-1)\/3 - 24\/9*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**3 - 3*i**3 + 8*i**3 - 2*i**2 - 2*i**3 as m*i + b*i**2 + h + u*i**3 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37229, 37650, 38047, 38420?\nAnswer: 38769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94273?\nAnswer: 94273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/7, -0.86, -0.2 in descending order.\nAnswer: 2\/7, 2\/19, -0.2, -0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:49 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.47 - 0.57. Let m = 3844.9 - 3837. Let w = m - l. What is the second smallest value in 4, w, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeae when four letters picked without replacement from {e: 2, a: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -135*c + 409. What is y(-4)?\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + (-17)\/(-12). Let q = 17 + -87\/5. What is the biggest value in -5, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123502807599 minus 9325?\nAnswer: 123502798274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2275, 7159, 14651, 24751, 37459, 52775?\n\"Answer: 1304*h**2 + 972*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 + 13 + 45\/(-5). Which is smaller: s or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = 8*o + 9010. Let t = o + -245. Solve -4*i - i - 17 = 4*a, -5*a = 5*i + t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 71 + 0*t - 73)*(23*t + 31*t - 64*t).\nAnswer: -30*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 4*u + 42, p = 2*u. Let d(i) = -2*i**3 + 14*i**2 - 13*i + 7. What is d(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 - 4*d + 5. Let k be o(4). Suppose -40 = 13*l - 9*l - 4*a, -5*a = -15. Let m be -1 + l + 6 + 3. Sort k, -1, m.\nAnswer: -1, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i*v**2 - 9*i*v + i + 8*v**3 + 3*v**2 - 4*v wrt v?\nAnswer: 16*i + 48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 - v**2)*(-6 - v**3 + 7 - v**3).\nAnswer: 8*v**5 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258654 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 184, 417, 744, 1165, 1680, 2289?\nAnswer: 2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3146) - sqrt(3146)*-3)\/sqrt(2) - (3 + sqrt(52)\/sqrt(4) + -3))**2.\nAnswer: 24037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -0.01, 0.3, -2, -1\/292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188136 and 2592.\nAnswer: 2257632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -1. Let h = 31 - 44. Let q = 18 + h. Which is the biggest value? (a) f (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -746\/945 + -2\/189. Let k = 21\/20 + l. Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008288004?\nAnswer: 2, 31, 47, 509, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let q(y) = 8*y**3 - 3*y - 1. What is the tens digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {z: 6, t: 1, p: 3, s: 2, n: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3\/3 + 785*x**2\/3 + 35120*x\/3 - 73340\/3 = 0.\nAnswer: -38, 2, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2715 (base 10) to base 5\nAnswer: 41330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*z = 26, 0*z + 2 = -z. Suppose c = r - 0*r. What is the greatest common divisor of r and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:05 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 + 169. Let v be f\/(-1)*(-7 + 9). Solve 4*y + l + 1 = 0, v = y + l - 0*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -12\nAnswer: -95\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or 1191?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x**4\/5 + 1148*x**3\/5 + 8334*x**2\/5 + 23788*x\/5 + 4693 = 0. Calculate x.\nAnswer: -13, -5, -19\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18955 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (11 - (-8 + 33) - -4)) + 6 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 7)\/(4\/(-8)*10). Let d be 4*(0 + (-2)\/(-4)) + -2. What is the third smallest value in -2\/15, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:22 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91159350.000049 - 91159469. Let c = -144 - -263. Let r = h + c. What is r rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -34*h + 36*h. What is the remainder when 36 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*o**5 - 6*o**3 + 12*o - 25 wrt o.\nAnswer: 620*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -9. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8bab (base 14) to base 12\nAnswer: -12057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/7 + 48*b**2\/7 + 93*b\/7 + 46\/7 = 0. Calculate b.\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014524884 rounded to six dps?\nAnswer: 0.001452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 608*d**2 - 102*d**2 + 12.\nAnswer: -710*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let o(b) = -b + 7. List the prime factors of o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/7))**18)**(-1\/20))**(-11) assuming u is positive.\nAnswer: u**(-99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 114. Let d be r(9). Suppose 209*w - 194*w - d = 0. Let u(f) = -f**2 + f - 2. What is u(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20183588?\nAnswer: 2, 5045897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39012859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 44 + 39 + 34 + 543*s**2 in the form c*s**2 + k + t*s and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - o**2 + 1. Let v be r(1). Let z be (-42)\/8 + v\/(-8). Let f = 2.3 + -2.4. Which is the closest to 1? (a) 0 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 50, 70, 90, 110?\n\"Answer: 20*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 819546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7608 divided by 6\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = 2*m + 2*a, 2*m + 6 = 3*a. Let u(v) = v**3 - 3*v**2 - 2*v + 3. Determine u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8317a - 3?\nAnswer: 83177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 - 6 = 0. Let o(s) be the second derivative of -3*s**3\/2 - 8142*s. Let x(u) = -9*u. Give t*o(b) - 3*x(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 - 285*u**3 - 1620*u**2 + 4340*u = 0. Calculate u.\nAnswer: -7, 0, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 9}. What is prob of picking 2 r and 1 h?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 5*g. Let y(i) = -4*i**2 + 3*i. Let v(m) = -3*n(m) - 5*y(m). Let a(x) = x - 2*x + 0*x. What is a(v(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m - 3. Let t = -13 - -19. Suppose 3*q - 4*y - t = q, 2*q - 6 = 3*y. Let c(j) = -2*j**3 + j - 4. Give q*c(p) - 4*k(p).\nAnswer: -2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120653, -483085, -1087141, -1932821?\nAnswer: -3020125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d - 1. Let q = -28 - -29. Let r(b) = 12*b**2 + 6*b - 10. Determine q*r(f) - 10*m(f).\nAnswer: 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011000 + -11?\nAnswer: 1010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -226743563, -226743559, -226743553, -226743545, -226743535, -226743523, -226743509?\n\"Answer: u**2 + u - 226743565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24649\/19 - 1297. Are 1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*x**3 - 118*x**3 - 41*x**3 + (2*x**3 - 2*x**3 + 2*x**3)*(-5 + 2 - 3).\nAnswer: -141*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 7*u**4 - 5*u**3 - 17*u**3 + 6*u**4 - 11*u**4 + 20*u**2 = 0?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from mmuummmu?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -177047, -177048, -177049?\n\"Answer: -r - 177046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16580\/(-4365) + 4 + 2\/(-9). Let w = p + -91\/291. What is the nearest to -1\/2 in -3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-98))\/(-6 - 255\/(-42)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 25*h - 231 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -32. Suppose -i = r - 6*r. Solve 2 = r*k - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10931 + -2?\nAnswer: -10933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132909 and 19782.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 6*y**2 + 6*y + 4. Let p(k) = -k**3 - k**2 + k + 1. Let v(s) = d(s) - 2*p(s). Suppose 5*l + 10 = 3*l. What is the units digit of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -193, -291, -389, -487, -585?\n\"Answer: -98*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 2971, -1, -5 in descending order.\nAnswer: 2971, 69, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/71, -5, 0.5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 1 - 2 + 854*z**2 - 886*z**2.\nAnswer: -32*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 40 - 27 + 38 + 64*u + 34.\nAnswer: 64*u + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -2 - (-43 - -36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Suppose u*o - 4 = 8. Solve o*b + f = -0*f + 9, b + 2*f = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.999 - 0.001. Which is the fifth smallest value? (a) 8\/3 (b) 0 (c) -2\/13 (d) 1\/5 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2004156227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + l**4 - 3 + 0*l + 2*l - l**2 + 3 + 10*l**3 to the form u*l**4 + r*l + y*l**3 + i + b*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/3, 0.3, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/(-3)*(-1)\/(-2). Suppose l*j = 11*j + 60. Suppose -j = 3*f - 236. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 2, y: 1, u: 4, s: 3, n: 3}. What is prob of picking 1 s and 2 n?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -158 (base 11) to base 12\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:06 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Suppose -4 = -u*k + 3*k - g, -5*k + 4*g + 29 = 0. Suppose 2*h + 40 = 8*x, 63*x - 72*x + 32 = h. Solve -21 = -k*o - y - 4, -x*o + 3*y = -25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**4 + 18*s**3 + 71*s**2 + 52*s - 2. Let u(q) = -22*q**4 - 127*q**3 - 498*q**2 - 363*q + 15. Let j(v) = 15*m(v) + 2*u(v). Factor j(w).\nAnswer: w*(w + 1)*(w + 6)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:13 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllulwlullllif. Give prob of sequence mi.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2028 = -13*j + 12259. Let m = 2359\/3 - j. What is the smallest value in m, 0.05, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1710, 52 in increasing order.\nAnswer: 3, 52, 1710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.2 (c) 1\/2 (d) -185 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-468)\/33 - (-10)\/55) + 3. Put l, -2, -4, 1 in decreasing order.\nAnswer: 1, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6 - 220537.\nAnswer: -220541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*s + 214583 - 55703. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 + 3*g**2 - 2*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -173662100 rounded to the nearest 1000000?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66929\/198 - 7235\/99. Let o = n - 265. Which is the third smallest value? (a) -3 (b) 0.1 (c) 3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/w**(3\/2) assuming w is positive.\nAnswer: w**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11496*q**5 - q**2 - q + 1013 wrt q.\nAnswer: 689760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 1\/20*b**5 - 98*b - 5\/3*b**3 + 6*b**2 + 0 + 1\/3*b**4. Calculate a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, q: 2, e: 4}. Give prob of sequence veee.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-616)\/(-19404)*7*(-4)\/(-8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 475.605147 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-6)*x))**(-37)*(x**(-8)*x*x)\/x**(-6\/7))**(-14) assuming x is positive.\nAnswer: x**3180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1239*c - 59609. Give m(48).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2*d*(d\/(d*d**4))\/d*((d*d**(2\/5))\/d)\/(d*((d**(-6)*d)\/d*d)\/d))**(-1\/18) assuming d is positive.\nAnswer: d**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47\/35 - -8\/7. Let y = -0.95 + 0.15. Let v = y + 5.8. Put -3, v, q in descending order.\nAnswer: v, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = w + 9, -w - i + 7 = i. Suppose 3 = -z + 6. Let y(u) = 3*u - u - z*u - 2*u + 6. Let l(j) = j - 1. Determine w*y(v) - 4*l(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7431*g**2 - 3421*g - 1.\nAnswer: 14862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/16 and -53\/1543140.\nAnswer: 6172560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229848 is divided by 102?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -692 + 5502. What are the prime factors of g?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8777.07ml in litres?\nAnswer: 8.77707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76977.\nAnswer: 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(70))\/sqrt(2) - (sqrt(35) - -1*sqrt(2835)))\/(sqrt(112)*1 + sqrt(700)*2))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 0*x)*(-3*x + 3*x + x) - 6*x - 10*x**2 + 8*x**2 - 3 - 6*x + (-1 + 5 - 3)*(10*x**2 - 19*x + 19*x).\nAnswer: 6*x**2 - 12*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 531 + 864 = -132*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -31, 5, -60 in descending order.\nAnswer: 5, -0.4, -31, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2141*m - 126072 = -1567*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.1 - -81266631320.\nAnswer: 81266631317.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1296*d - 13206*d**2 - 111*d**3 + 4*d**4 + 13818*d**2 + 23*d**3.\nAnswer: 4*d*(d - 9)**2*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 13*b + 10*b as d*b + r and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -i + 7, -4*i + 3*d = 2*d - 18. Suppose -3*j - 2 + i = 0. Let v(k) = -5*k - 1. Let w = -5410 - -5404. Let x(b) = -b. What is j*v(a) + w*x(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 9*j**2 + 15*j - 2. Let x be z(-2). Suppose x*m = -1433 + 21193. Is m a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 41, 79, 103, 107?\n\"Answer: -o**3 + 2*o**2 + 47*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in centuries?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 828*i**3 + 416*i**3 - 2*i**2 + 411*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11) + -1 - (-4 + sqrt(11)*2 - sqrt(11))**2.\nAnswer: -28 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3788 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307900830.9999882 - -307900860. Let h = -80 - -51. Let y = h + o. Round y to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*o + 9, -2*j - 1 = -3*o + 3*j. Calculate the lowest common multiple of 9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*((3*t - t - t)*(-4 + 5 + 1) + 3*t - 17 + 17).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*g - 416 = 75*g. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.6. Let y(s) = s**2 - 16*s - 39. Let p(j) = j + 1. Let m(x) = 2*p(x) - y(x). Let u be m(20). Sort f, 1\/7, u.\nAnswer: 1\/7, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-4))\/(24\/32). Suppose -3*a = -0*a - x. What is the lowest common multiple of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -11*l**6\/3 - l**5\/5 - 242*l**2 + 5*l + 54. Find the first derivative of u(g) wrt g.\nAnswer: -440*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142259*l**3*t**3 + 28*l**3*t - 11*l**2*t**3 + 5*l**2*t - 28425*l wrt l?\nAnswer: 853554*t**3 + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 150. Let g = x - -1428\/13. Let h = 2 - 5. Put -0.1, h, g in decreasing order.\nAnswer: -0.1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69557\/708 > -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.1. Sort s, 6, -4.\nAnswer: -4, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -43.14. Let i = 0.16 - f. Let d = i - -0.6. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b**(-10)*b)\/((b*b**(1\/8))\/(b*b**13\/b)) assuming b is positive.\nAnswer: b**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:02 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 228565291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 127*o**2 - 219*o + 247. What is x(65)?\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 15*v**2 - 23*v + 40. Let g be n(-13). Solve -z + 2*z = -g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.4 (c) -34\/5 (d) -1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1027.3 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*t = t - 23, 5*t = 3*f + 43. Let j(p) = 4*p**3 + 13*p. Let c(g) = -2*g**3 - 6*g. Let r(a) = f*j(a) - 13*c(a). Let x = -10 + 9. What is r(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 8*y**2 + 8*y + 1. Let q be k(6). Let t = q - -32. Calculate the highest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4833 divide 619527771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(6\/6)*0. Let s = 2192\/7 + -312. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.97 - -46. Let b = 0.17 + t. What is the nearest to b in 4, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.113 * 3.84.\nAnswer: 0.43392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*k**2*u*v**2 + 325*k**2*u - 2*k**2*v - 596500*k*v**3 - 6051*u + v wrt v.\nAnswer: 70*k**2*u - 3579000*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 36. Let g be m(11). What is the derivative of -g - 2*q - 11 + 175 + 26*q**3 wrt q?\nAnswer: 78*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121.53 - -121.5320449. What is j rounded to five decimal places?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/264 and -97\/30.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.0558741\nAnswer: 0.9441259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j*j*j*j)**40\/(((j**(5\/2)\/j)\/j*j)\/j**(-1)) assuming j is positive.\nAnswer: j**(295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t. Let w(k) = -k - 4. Let l be w(-3). Let p be b(l). Suppose 2*m - 1 = -q, 2*m + 35 = p*q - 0*m. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 144*h**3 - 74 - 57 + 193.\nAnswer: -144*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3634 = 83*k + 66*k + 9*k for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = m - 20, 10*m - 13*m + 28 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -274 + 324. Solve -5*z + b + 5 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (228\/(-9))\/((-1)\/(-3)). Let x = o - -93. Solve -2 = 2*h + 8, 0 = -2*g + 3*h + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 555 - -1309. Calculate the smallest common multiple of o and 3.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = 4*i, -26 = -f + i + 3*i. Let r(l) = l**2 + 3*l - f + 2*l**2 + 6*l - 4*l**2. Is r(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**4*m**2 + 16482301*d**3*m**2 + 4*d**2 + 48681581*d*m**2 wrt d?\nAnswer: -360*d*m**2 + 98893806*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 20 and 18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from pjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 0*k)*(-2*k + 0*k + 7*k)*(-3*k**2 - 2*k**2 + 3*k**2 + (2*k**2 - 7 + 7)*(2 - 2 + 3) + 0*k - 2*k**2 + 0*k).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 minus 132?\nAnswer: -134.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -86183470 to the nearest 10000.\nAnswer: -86180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Let a(y) = -14336088*y. Give a(b(w)).\nAnswer: 86016528*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 195\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3546387 and 38616214?\nAnswer: 347545926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1646272 and -13?\nAnswer: 1646272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -342068, -341977, -341886, -341795, -341704?\n\"Answer: 91*s - 342159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -110011101000010100011100?\nAnswer: 110011101000010100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11288 and 12053.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (21 + (33 + -33 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36080 and 16632?\nAnswer: 6819120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 2*p - 5, 4*p = 3*z - 80 + 87 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -32*u + 2. Let n be d(-2). Let x = -27820 - -27888. Is x greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64, 59, 54, 49, 44?\n\"Answer: -5*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -271*-4.739\nAnswer: 1284.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6*(-6)\/12)*(-75)\/50.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01294354 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17453 divided by -17453?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -45, -44?\n\"Answer: n - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 857316.7 centuries?\nAnswer: 85731670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 2. Let r = -0.54914 + 0.14915. Let m = q - r. Round m to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539480215.5 plus -4?\nAnswer: 539480211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7801 is divided by 1297.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, 0 = -2*n + 2*z + 102 + 58. Suppose 8*g + 26 = n. Find the third derivative of -g*r**2 - 3*r**2 + 2*r**2 - 20*r**3 - r**2 wrt r.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*i - 3 = 5, 0 = -5*i - 20. What is the second derivative of 3*f**2 + s*f + 4*f - f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*n + 172, -n = -0*n + 4. Suppose -12*y + i = -13*y. Let q be y\/20 + 33\/22. Do -4 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14477 - -14485. Let w = 11 - 5. What is the remainder when o is divided by (-1 + 3)*w\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b**2 + 5*b + 2. Let o(r) = 23*r**2 + 11*r + 4. Let j(z) = -13*g(z) + 6*o(z). Calculate j(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 63276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2939310)\/154710 - -19)\/(2\/18).\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/20 + 25*p**4\/2 - 282*p**3 + 2210*p**2. Find k, given that i(k) = 0.\nAnswer: 6, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 - 336. Suppose -4*r = g*m - 69589, -3*r + 2*r = -4*m + 92760. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 8606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*m**2 + m + 5*m**3 + 24*m**2 - 2*m - 37*m**2.\nAnswer: 5*m**3 - 312*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzen when four letters picked without replacement from vvnzekf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)*u**(2\/15))\/(u**(-1))**(3\/11) assuming u is positive.\nAnswer: u**(59\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 3*i + 270, -3*i + 201 = -3*h. Let l = h - -146. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*t - 26*t - 632937. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 - -174. Does o = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6813658 is divided by 1362731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/540 + v**5\/180 - v**4\/6 + 11*v**3\/3 + 7. Let a(z) be the third derivative of y(z). Factor a(s).\nAnswer: 2*(s - 2)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/3, -1, -1.06, 2\/7?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**8\/1680 - 29*c**7\/1050 + 79*c**6\/150 - 392*c**5\/75 + 416*c**4\/15 - 1024*c**3\/15 + 26*c**2 + c. Factor m(b).\nAnswer: (b - 8)**3*(b - 4)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*d - 54*d**3 - 63*d**3 + 115*d**3 + (d + 0*d + 0*d)*(-3*d**2 + d - d).\nAnswer: -5*d**3 - 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let k be w\/4 + 33\/(-6). Is k\/(-10) + (-1830)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sveysevysyvseevs. Give prob of picking 1 y and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 at most as big as -0.09923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1478860914.4 - 0.3\nAnswer: -1478860914.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**6\/120 - n**5\/12 + n**4\/24 + 8*n**3\/3 - 5*n**2 + n + 47. Give h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89099.0532 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**2)**(13\/2)*f**11\/f**(-4\/7) assuming f is positive.\nAnswer: f**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (2 + -5 - -1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25247737*l**3 + 45640*l**2 - 256*l.\nAnswer: -151486422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**3*o**5 - 2*n**3 - 5*n**2*o**5 - 12*n**2 + 2*o wrt o.\nAnswer: 160*n**3*o**3 - 100*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let m be 9\/582*1*q\/2. Let k = m - 697\/582. Find the common denominator of 11\/30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/39300 and -131\/48.\nAnswer: 157200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11913691*m**3 - 3799894 wrt m?\nAnswer: -35741073*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 9. Determine j(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 15*i + 5*w - 25, -5*i + 27 = 2*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b78a31 - -11?\nAnswer: -b78a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a + 959 - 299. Let w = 57 + a. Solve -6*z + w*z = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424108 and 353732.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose -8 = -5*r + a. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.634 + -34.366. Which is the closest to 0.2? (a) y (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 493*(-846)\/(-4379319)*-7*(-2)\/(-12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078967573 rounded to 6 dps?\nAnswer: 0.007897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 1687 - 153 = 0. Let a = 160 + p. Let i = 122 - 66. Calculate the greatest common divisor of i and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -582498*l**2 + 6*l + 4. Let h = 119 - 121. Let g be x(h). Round g to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncpviyi. Give prob of picking 1 c and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4318922 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r. Let i be ((-3)\/4)\/((-7)\/56). Let z(w) = -w**2 - 3*w**2 + i*w**2 + 0*w**2. Give z(d(m)).\nAnswer: 338*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304924, 0, -5 in decreasing order.\nAnswer: 304924, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -14047 (c) 4 (d) -0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/364*(13 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39087121\/14 + -2790636. Let b = x + -1298. What is the common denominator of b and -33\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 13*a + 8. Let u = 114 - 72. Suppose -9*n = -2*n + u. Is 18 a factor of g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -799480 divided by 20\nAnswer: -39974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.14413g to tonnes.\nAnswer: 0.00000914413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*50768996\nAnswer: -152306988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 39 = -33, 3*g = -m + 18181. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - -2)*-1)\/(-1). Let l be -5*d - 2\/(-1). Let w be 26\/6 + (-2)\/l. Calculate the highest common divisor of 40 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1293*c + 507. Let p(w) = -16*w. Give 2*d(i) - 162*p(i).\nAnswer: 6*i + 1014","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 8*t + 3. Let j = 3 - 1. Suppose 5 = -b - j*v, 5*v + 1 - 11 = 2*b. Does 13 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, g: 1, z: 1, p: 1, b: 13}. Give prob of picking 1 b and 1 q.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 + 12\/4. Suppose -q*z + 2*l + 3 - 1 = 0, -3*z = -2*l + 1. Let u be 0 - (-3 - (z - 0)). Solve u = -2*w - 2*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5392.767 tonnes to milligrams.\nAnswer: 5392767000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 51 and 45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 - 6*t**3 - 315*t**2 = 0.\nAnswer: -15, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 621, 1239, 1865, 2505, 3165?\n\"Answer: g**3 - 2*g**2 + 617*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110547278?\nAnswer: 2, 55273639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:31 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g - 4*g)*(-3 + 3 - 2*g) + 40739*g - 40739*g + 187*g**2 + 5*g**2 - 3*g**2 - 3*g**2.\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-9 - 0 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 - 1600*h**3 + 842334*h**2 - 148419872*h + 998211137 = 0. Calculate h.\nAnswer: 7, 461, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -936, -1648, -1916, -1518, -232, 2164, 5892, 11174?\n\"Answer: 37*d**3 - 971*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112990 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -51\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 543396 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1881206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2824967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**3 + b**2 - 39*b + 9078 wrt b?\nAnswer: 21*b**2 + 2*b - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.547 - 0.147. Which is the biggest value? (a) -0.1 (b) 2\/19 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 6. Let l = -5 - p. Calculate the greatest common factor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10fd + 26e6?\nAnswer: 37e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Solve 0*z - 5*z - 15 = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2241, 2240, 2239?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138985139?\nAnswer: 29, 1949, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*t + 248 = 0, -58 = -2*q - 5*t - 2. Let o be -204 + (1 - 0)*1. Let x = o + 469. What is the highest common factor of x and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54\/5 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)\/(1\/5). Let x be 1 - 6\/(-4*36\/624). Sort v, 0, x in descending order.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 290 = 2*d, 90 = -2*d + 5*i - 221. Let a = d - -151. Solve -4*j - a*u + 21 - 4 = 0, -4*u = -12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4 - 4)*(3 + 2 - 7 + (5 - 2 - 4)*(3 - 5 + 1) - 3 + 1 + 0 - 3 + 5 + 0).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 69 + -46 + 59 - 34?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {y: 3, i: 1, h: 1, u: 7, a: 7, f: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*6)\/(-1*sqrt(294)).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 2*m - 8. Suppose 5*k = -3*u - 33, 2*u = -0*k - 4*k - 24. What is the remainder when 29 is divided by s(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1048436, -1048435, -1048432, -1048427, -1048420?\nAnswer: -1048411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 31*q**2 - 2*q - 10. Let n(b) = -30*b**2 + 2*b + 6. Calculate 3*n(a) + 2*x(a).\nAnswer: -28*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 15*j - 21. Let n be p(-17). Let u be (n - -67)*(1 + 14124). Round u to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/994 and 43\/7952?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30666936?\nAnswer: 2, 3, 31, 47, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3440028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453970 by 2.\nAnswer: -226985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 10, p: 1, a: 1}. Give prob of picking 1 g and 1 w.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -132 - 6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -366446 or -366447?\nAnswer: -366446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 13*x - 23. Give r(-5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32929537, -65859079, -98788621, -131718163?\n\"Answer: -32929542*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13340)\/(-2400) + (0 + 12)\/288?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -127161 (base 8) to base 16\nAnswer: -ae71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/146832 and -63\/530480.\nAnswer: 256221840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 1289 = -302*r - 14081. Let h be ((-2)\/3)\/((-1)\/3). Put r, 0, h in descending order.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425344 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 - 177. Suppose -19*n + 241 + 6 = c. Calculate the remainder when 28 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 11*v - 23. What is s(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:41 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d2ba676 - 4?\nAnswer: 1d2ba672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 14996.930113 to 1 dp.\nAnswer: 14996.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-y**2 - 108*y**4 - 8*y**4 + 21 - 23) in the form h*y**2 + d*y**4 + o + v*y**3 + m*y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqp when three letters picked without replacement from qqppqqpppppq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24949, -36, 0, 4, -5, 18 in increasing order.\nAnswer: -24949, -36, -5, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + k**2 + 3*k - 5. Let g(y) = 35 - y**2 + 4*y**3 - 3*y**3 - 34. Let n(u) = -f(u) - 3*g(u). What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-88))\/(-5)*64\/1320\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/11 + (-25050)\/9185?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 27*p**2 + 104*p**2 + 27 + 204*p**2.\nAnswer: 281*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idh when three letters picked without replacement from rurdxiuxrdixrddrhr.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403915 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*p = 388, w - p = -2*p + 129. Calculate the remainder when w is divided by ((-36)\/24)\/(-3 + 1)*132\/3.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23140041 (base 5) to base 6\nAnswer: -4250311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = -2*a + 2*p, 2*p = 4*a + 6. Suppose 7 = 2*b + 3*k, -2*b - 4*k = -a - 4. Solve -2*z - b = -i, -4 = i + 3*z + z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -147*v. Let x(l) = -5975*l. Determine x(z(d)).\nAnswer: 878325*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, t: 5}. Give prob of sequence ts.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3100)\/1860 + 3\/((-18)\/(-4)). Let h(d) = -d**2 + d. Let f(j) = 11*j**2 - 3*j - 1. Calculate y*f(u) - 4*h(u).\nAnswer: -7*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 669.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2426, -4863, -7294, -9719, -12138?\n\"Answer: 3*k**2 - 2446*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 3*v - 5. Let c(b) = -4*b**2 - 3*b - 5. What is 5*c(t) - 6*x(t)?\nAnswer: -2*t**2 + 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 13847?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14)*(-42)\/16*(-336)\/63\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 367512*y**6 + 1404900*y**2 - y.\nAnswer: 44101440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3838 and 5682178.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 17. Let l be u(-14). Let g be 1*(6 + l) - 0. Is 404\/g + (-16)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/85202 and -24\/3277.\nAnswer: 85202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 1\/82, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15*2)\/((-810)\/(-360)). Factor -z*i**2 + i**3 - 22\/3 + 79\/3*i.\nAnswer: (i - 11)*(i - 2)*(3*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122747*n**2 + 35445 wrt n.\nAnswer: 245494*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*f + 551 - 551)*(29 + 38 - 14 - 5 + 5 + 1 - 1 + 1 - 1 + (-4 + 4 + 2)*(1 + 2 - 2) + 1 - 2 - 1).\nAnswer: 1643*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u**2 - 2*u + 8*u - u.\nAnswer: 24*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*-2*((0 + sqrt(32))**2 + -4 + 5) + -1.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588 is divided by 128?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, -0.5, -3.38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 594*s**2. Let m(x) = 2*x**2 - 156*x + 16. Calculate m(j(d)).\nAnswer: 705672*d**4 - 92664*d**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert e78 (base 15) to base 12.\nAnswer: 1a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25.3? (a) -44 (b) -11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(1331)*-1 - (sqrt(1331) + -2 + 1*sqrt(1331)))*-1)**2.\nAnswer: -88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*a**2 - 7 + 7 + (2*a + 2*a - 2*a)*(7*a + 9*a - 6*a))*(-4*a**2 - a**2 + 3*a**2 + 3*a) to j*a**3 + d*a + q*a**2 + u*a**4 + t and give j.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -47395 times 0.2?\nAnswer: -9479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (57 - (39 + -34 + -11)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48840 divided by -4?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4587b5 (base 15) to base 3.\nAnswer: 20020122022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-15))\/(2\/6). Let t(j) = -j**2 + 6*j - 5. Let y(m) = -m**2 + m. Let s(p) = d*t(p) - 2*y(p). Let g be 8\/(-52) + 100\/(-26). Give s(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**4 + 3*s**3 - 3*s**3 + (-4*s**3 + 2*s**3 + 4*s**3)*(-2*s - 8*s + 4*s).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 40*w**2 + 35*w + 153. Let y be v(39). Which is the biggest value? (a) 284 (b) -0.4 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + ((sqrt(700) + -1)*-3)**2.\nAnswer: -170*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + 3211\/(-266) - 1\/(-14). Which is smaller: -1\/19 or f?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 188 = 444. Calculate the greatest common divisor of t and 1760.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1135975 or 1135973?\nAnswer: 1135975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 493 + -526. What is the nearest to c in -2\/5, 3\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**2 - 4*u**2 + 0*u**2 + u**2 + 0*u**2 + (-2*u + 4 - 4)*(42*u - 13*u + 15*u + (5 - 3 - 1)*(5*u - 3*u - 4*u)).\nAnswer: -85*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 8*g - 15. Let x be h(-3). Suppose 0 = 2*j + 3*r - 36, -3*j + 4*j - 5*r + 8 = x. Solve -4*z + 4 = j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 - 4*r + 3. Let s be u(2). Let n be (-2 + 0)\/(s\/(-12)). What are the prime factors of 22\/n + 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226155?\nAnswer: 3, 5, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Suppose -a*b + 39 = -2*k, 2*k - 6*k - 15 = -3*b. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-12*2 - -1). Suppose 5*l - 92 = v, -4*v - 6*l - 414 = -3*l. Let n be 4\/34 - 7026\/v. Calculate the greatest common divisor of n and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8201 + 8189 - 16390 - 8743*l.\nAnswer: -8743*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5)\/(-105) - 860\/70?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 4*x**2 + 4. Let m(t) = -11 + 0*t + 0*t + 5*t**3 - 11*t**2. Suppose 57*f + 23 = -148. Let y(z) = f*m(z) - 8*p(z). Give y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -459, -906, -1353, -1800, -2247?\n\"Answer: -447*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(sqrt(3) + 0) + -1 - ((sqrt(9) - ((sqrt(1296) - 2*sqrt(1296)) + sqrt(1296))) + sqrt(9))\/(-1*sqrt(108) + sqrt(3) + sqrt(3) + sqrt(3)).\nAnswer: -6 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 16. Suppose 2*o - 3*o - 840 = -5*p, p - i*o - 182 = 0. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1393*c**3\/3 + 5621*c**2\/2 + 4*c - 282. What is the first derivative of v(m) wrt m?\nAnswer: 2786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 15?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 936 = -2*m, -5*g + 15 = 40. Let j = 8044\/17 + m. Let l(z) = z**2 + 5*z + 1. Let u be l(-5). Which is greater: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 + 126*d + 8. Let i be t(-18). Suppose -27*k + 29*k = i. Let u = 3 + 5. Solve -u - k = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024362 rounded to 6 dps?\nAnswer: -0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 408921 at least 408903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/3)*o))\/o)**(-1\/37)*o**(4\/5)\/o*o**2*o*o assuming o is positive.\nAnswer: o**(2129\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:11 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -71*j**4\/4 + j**3\/3 + 4*j**2 + 2*j + 7. Is l(-2) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*c = -73 - 395 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**2 - 87010*d - 608825 = 0.\nAnswer: -17395, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 13092*c = -13096*c - 11, 82 = 10*x + 2*c for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 613.4532 millimeters?\nAnswer: 613453200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 0.004089?\nAnswer: 0.004089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 86*r = -84*r + 32046, 0 = z + 4*r - 10654. What are the prime factors of z?\nAnswer: 2, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27169 + 13822 - 2*c**2 + 14389 to b + q*c**2 + v*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/13))\/f**(-2\/5)*(f\/(f*f*f*f**(2\/51)))\/((f\/(f*f*f**(-19))*f)\/f))**(-1\/29) assuming f is positive.\nAnswer: f**(62554\/96135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -658, -2\/5, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 184290.8 times 0.2\nAnswer: 36858.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.056406 and 4?\nAnswer: 0.225624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1 + 0*i - 2 + i. Let w be q(-6). Let a = -3 - w. Solve 5 = -2*t + p, -a*t + p = 3*p + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47621 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 404?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -7699*o**4\/12 - o**3\/6 - 2*o. Let s be c(1). What is s rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/330 and -3\/107335558?\nAnswer: 1610033370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186a (base 14) to base 6.\nAnswer: -32222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 15*j - 14. Let y be z(-14). Solve -l + y = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**3 + 6*n**3 - 22*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*x, -4*x - 6*m = -2*m - 12. Suppose -3*i + 2*f + 2*f - 14 = 0, -x*f + 19 = -3*i. What is the second smallest value in 0.1, -0.07, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - d = -758, 4*d + 3 = 15. Let v = w + 153. Solve 3*x - 4*x = -v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84.388 - 85. Let g = 0.6 + i. Round g to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 15. Suppose -n + 8*n - 2*n = 0. Suppose 2*m - 25 = -3*m. Suppose -2*p - 5*b - 17 = n, 0*p - m*p - 5*b - 50 = 0. Determine t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75732 is divided by 495?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, o: 2, u: 2, g: 1}. What is prob of sequence uug?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7 - 29. Solve 0 = -4*x + x + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5702 divide 432941456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 897, 900, 903, 906, 909, 912?\n\"Answer: 3*k + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 19*r**2\/2 - 44*r - 39\/2.\nAnswer: (r - 13)*(r + 3)*(2*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 4*v + 1. Let l(b) = b**2 + 5*b + 1. Let h(g) = 66*g + 328. Let u be h(-5). Calculate u*l(z) + 3*k(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8 = 4*f, -v - 4*v - 5*f = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29780164*a**3 - 85*a**2 + 63*a + 17.\nAnswer: -178680984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r - 4. Let z be h(3). Differentiate 4*p**z + 3*p**4 - 2*p**2 - 2*p**2 + 2 with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311178763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwzw when four letters picked without replacement from bzwzbwizibziwwbb?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5 - 100*h**4 + 960*h**3 - 3040*h**2 + 4160*h - 2112 = 0. Calculate h.\nAnswer: -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1606 = -z + 223, 5*z - c - 9101 = 0. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 300600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5*p + 15, 3*i + 5 = p - 0*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7. Let p = 2 - t. Let s = -2 - 2. What is the third biggest value in -1, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v**(-13)*v**(-3\/5)*v**(2\/49))**35 assuming v is positive.\nAnswer: v**(2558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 16*z - 1 - 7*z.\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 297*b - 23418. Calculate r(-57).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7.03. Let a = w + -0.13. What is the nearest to a in 3, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4293183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-6) - 4968\/(-81) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 32314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/((n**(1\/19)\/n)\/n)))\/(n\/n**(-13))*n**(2\/11)*n*n**(-1\/11))**(-18) assuming n is positive.\nAnswer: n**(52128\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 226815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/126144 and 93\/9248?\nAnswer: 36455616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1500.5 - -1501. Put 7, 1, -8, f in ascending order.\nAnswer: -8, f, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w + 7*w - 13*w to the form f + o*w and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*r**2 + 25606542*a**2*r + 14*a*r**2 - 2*a*r - 24*a - 135*r**2 - 27 wrt a.\nAnswer: 6*r**2 + 51213084*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-13 - -21 - 0 - 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2053066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(920\/96) + -2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + t = -3*t - 38, 3*i + 2*t - 44 = 0. Suppose -9*a - 414 = -1710. Calculate the greatest common factor of i and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -d. Calculate the remainder when -2 + 15 - (d + -1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33698 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.1 - 104.5. Let x = 120 + r. Which is the biggest value? (a) x (b) 11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -c - 21, 12 = -3*j + 15*c - 12*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722 + 7948\/11. Which is the smallest value? (a) l (b) -2 (c) 0.4 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 + 45*p**2 + 22*p**2 - 355.\nAnswer: 67*p**2 - 591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11248\/(-76))\/1*4\/48\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.2 - 13.4. Let i = -40329.60079 - -40322.4. Let u = a - i. Round u to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1318 * 5248\nAnswer: 6916864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9178 and 291578?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (5 + -8)) + -4 - -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -919*x + 908*x = 0. Which is the closest to -0.7? (a) -4 (b) x (c) 1\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/101012? (a) -1\/7 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 1, 2.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n + 266. What is i(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 + 4*t - 3. Suppose 2*b + 45 = 9. Let j be (8 + b)*(-6)\/30. What is s(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -6 - (-51 - -35 - -10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 521645 by -5491.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/18069 and 83\/161670.\nAnswer: 3071730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6860, 6868, 6876, 6884, 6892?\n\"Answer: 8*w + 6852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 = 2*h. Let r be ((-26)\/9 - -3)*h. Let s = -7.9 - -8. Which is the nearest to 2\/3? (a) s (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -128. Suppose -6*q = -i*q. Solve q = 14*y - 11*y + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s + 97 = 0, -66 = -5*j - 5*s - 2*s + 5*s + 36 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (266\/(-8))\/((-1323)\/(-1512))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097805018?\nAnswer: 2, 3, 127, 1440689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f**3 - 2*f**3)*(0*f + f + f) - 2*f + 2*f - f**4 + 5*f**4 - 10*f**4 - 44*f**4 + (3*f - 3*f - f**3)*(f - f + f) - 4*f**4 + 2*f**4 - 3*f**4.\nAnswer: -58*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - i. Let r = -332 + 336. Suppose -5*a + 4*d = 16, -r*a - 2*d - 4 = -12. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6535914 and -29\/11289306.\nAnswer: 124182366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*k + 37*k - 229*k = 1348. What is the nearest to 1\/4 in -108, k, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42480\/7*m - 717\/7*m**2 - 3\/7*m**3 + 43200\/7.\nAnswer: -3*(m - 1)*(m + 120)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + a**3 - a**3 + (-2*a - a + a)*(-a**2 + a - a) + (-a - 3*a + 5*a)*(2*a**2 + 0*a**2 - 3*a**2) - 4*a**3 - a**3 + 18*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -7*q + 3*q + 29, -q - v = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/299 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -167*r**2 + 6*r - 3688 wrt r?\nAnswer: -334*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (165\/(-110))\/(93\/(-4)). What is the smallest value in t, -0.1, 3\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 72. Let b be x(31). Let s be (b - (1 + 3)) + -2 + 2. Solve -s = 4*i - 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4 = -2*j, -14 = 3*j - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.2, -0.019158 in ascending order.\nAnswer: -0.2, -0.019158, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 707097525*z**5 + 629471930*z**2 wrt z.\nAnswer: 42425851500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) - (-6)\/12. Suppose x = -2*t - o + 6, 0 = o - 3*o - 4. Suppose -2*z + t*z = -5*b + 95, b - 2*z = 31. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -0*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*l*v**2 - 8*j*l*v - 2*j*v + 46*l*v**2 + l*v - 2*l wrt v.\nAnswer: -4*j*l + 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -18. Let g(l) be the first derivative of l**2 + 0*l + q*l**3 - 1 + 0*l**4 - 2\/5*l**5. What is the second derivative of g(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**5 + 35*k**4\/4 - 90*k**2 - 3195. Factor g(j).\nAnswer: 5*j*(j - 2)*(j + 3)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43356, 42863, 42370, 41877, 41384?\n\"Answer: -493*m + 43849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, 3\/7, 4, -2\/449 in decreasing order.\nAnswer: 4, 3\/7, -2\/449, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -112. What is the derivative of z**h - 2*z**2 + 129*z + 11 - 140*z wrt z?\nAnswer: -2*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 17 = -y. What is the greatest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose 390 = 5*y + a, 2*a = -p*y + 360 - 48. Does 54 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 at least 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {p: 6, s: 2, n: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j - 89*j - 1431 = 136*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100101100?\nAnswer: 100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:31 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 2*c - 11*c - 2*c**2 - 8 + 2. Suppose -3*k + 0*k = -54. Let a = k + -9. Give x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**3 - 3*c**2 + 2*c + 5. Let h(q) = -3*q**3 - q**2 + q + 2. Let j(p) = -5*h(p) + 2*w(p). Let m(u) = u**3 - 2*u**2 - 2*u. What is 2*j(y) - m(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-77))\/((-70)\/98*-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7942687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1208 + -1205. Solve -l - l - 12 = -4*v, -z*l - 8 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*k = 5*k - 408, 4*c - 537 = k. Let t(y) = 5*y - 10. Let w be t(3). Suppose -l = -1, w*p - l = 4*l + c. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 36*r**3 - 213*r + 803. Give z(4).\nAnswer: 2255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -455, -459, -463, -467, -471?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/130)\/((-5)\/65).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 minus 65068?\nAnswer: -65100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 243385164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 4*88\/(-16))*2. Solve -5*q = -4*o + m, -16 = q + 2*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - ((-2 - -5) + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1475*o + 315. Let h be r(-3). Calculate the highest common factor of h and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -5, -79 in increasing order.\nAnswer: -79, -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1346 + 32255?\nAnswer: 33634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18075 + -11788. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-35)*(34 + -34). Let i = -71\/6 + 1315\/102. Let y = i + -73\/85. Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/7*(-20979)\/999.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 1, y: 2, b: 1, q: 1, f: 1}. What is prob of picking 1 q, 1 f, and 1 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 470877, 470799, 470721?\n\"Answer: -78*h + 470955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2\/7 - 58676*v\/7 + 33520 = 0. Calculate v.\nAnswer: 4, 14665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 84*g**2 - 344*g - 384.\nAnswer: -4*(g + 2)*(g + 3)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 4 (b) 1\/2 (c) -2\/9 (d) 2 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 66399414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 32, 0.5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-780)\/(-75))\/(5\/((-25)\/2)). Let w = t + 369. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 + 124. Let v = -20 + j. Let h be 22\/(-8) + v - 6\/(-8). Solve -4*a - i = -h*a, 0 = a - 2*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 210?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7\/(-12))\/((-7)\/91) and -15\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 10*c + 22 = -5*b, -c - 3*b = 11. Let z be (3\/36)\/((-2)\/(-4)). Let w = -7 - -6.2. What is the nearest to c in 4, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/70)\/((-2)\/7 - 0). What is the second derivative of 6*g - 13*g - 8*g + 18*g**a - 3*g wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -32*a**3 + 4*a**2 + 6*a - 3. Calculate i(-2).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 13) + -3 + (-3 - -11) + -6 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -41*l**2 + 0*l**4 + 2*l + 0 + 0*l**3 + 1\/30*l**6 - 2\/3*l**5. Determine o so that m(o) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1161591 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa - bb2?\nAnswer: -b04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 5*z - 9. Let k be b(7). List the prime factors of (-2)\/k - (-4026)\/15.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -533*x + 3069. Let k be g(5). Sort -1, k, 3 in ascending order.\nAnswer: -1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**5 + 1969*a**4 + 31*a + 362 wrt a?\nAnswer: -180*a**3 + 23628*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55771491, -111542982, -167314475, -223085970?\n\"Answer: -t**2 - 55771488*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319724653.\nAnswer: 1301, 245753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 617*j**3\/3 - j**2 + 13*j - 219. What is the second derivative of o(p) wrt p?\nAnswer: 1234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*z - 82, 82*o - 81*o + 4*z - 15 = 0. Calculate the remainder when 35372 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017617 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -48\/59 (c) -0.5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13328795.521 - 18.\nAnswer: 13328777.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 + 4*s - 2. Let q be f(3). Let o(z) = z**3 - 9*z**2 - 8*z - 9. Calculate the smallest common multiple of 9 and o(q).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 28*w + 39. Let u be i(4). What is the common denominator of -87\/16 and (-4)\/6*(3 - u\/4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 1, -1.6, -2\/13, 3, -1\/4, -44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.12 take away 543?\nAnswer: -562.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -2\/7, -0.038, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733 (base 9) to base 12.\nAnswer: -419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjll when four letters picked without replacement from jrjjlmlzrmrzgj?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127*o*w**2 + o*w + w**2 + 1472*w wrt o?\nAnswer: 127*w**2 + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 12:26 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 7861.\nAnswer: 29\/7861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24164305 (base 7) in base 2?\nAnswer: 1000001101000000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2863*x + 74064 = -71949 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:48 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a3 + -ba?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/120 + 17*j**5\/60 + 17*j**4\/24 + 20*j**3\/3 + 98*j**2. Let r be i(-16). Solve 23*z - r*z + 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 + (-11685)\/228)\/(-3)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - 6ab2?\nAnswer: -6a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 17 = -305. Calculate the highest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-20) - 1\/(-4). Let k(s) = s**3 + 11*s**2 - 14*s - 21. Let g be k(-12). Let p be g\/24*(2 + -3)*2. What is the nearest to p in 2\/17, -1, x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -874, -1745, -2616, -3487, -4358?\n\"Answer: -871*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12888624.\nAnswer: 2, 3, 7, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -353 + 1a?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 730\/60 + -12 + 79*(-2)\/12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 + 10*f + 12. Let n(j) = 15*j**2 + 11*j + 17. Let a(v) = 2*n(v) - 3*p(v). Calculate a(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7339438008?\nAnswer: 2, 3, 7, 14562377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 3*j + 18, 2011 = 4*f - j + 2019 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101.182 - -0.182. Let c = -100 - f. Is -84 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 28*l + 197. Let r be u(-11). Let d be (-3 - 1)\/(-12 + r). Solve 13 = -g - 2*f, 0 = 3*g - 4*f + d*f - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-18))\/3*-3*(-72)\/21222\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25555 - -224?\nAnswer: 26001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 37*i - 17*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8526.272 - 8205.2. Let z = 321 - i. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from xbnxqffxsqfqsb.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 18*k = -31*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 3)\/(-3)*5. Let h(g) = -g**2 + 7*g - 8. Let l be h(4). Suppose -1 - 7 = l*r. Put r, -6, f in increasing order.\nAnswer: -6, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(176)*-2 + -1 - -1*(sqrt(176) - (sqrt(176) - (sqrt(176) + (-1 + sqrt(176) + sqrt(176))**2)))) + -3.\nAnswer: -80*sqrt(11) + 2813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-7)*(-4 + 22\/4). Solve -2*l = z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 1349*v - 1344*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r. Let s be (-2 - (-81)\/(-78)) + 3. Let o = s - -57\/130. Is r smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 663 and 3?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/7 + (-20)\/(-70). Let i = z - 21. Solve -c - i = 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1905573.\nAnswer: -3811146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9549*u**2 + 3251*u**2 + 3364*u**2 + 3235*u**2.\nAnswer: 301*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 6*(-1 + sqrt(99)))**2.\nAnswer: -180*sqrt(11) + 2511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 3 + 1 - 2. What is the units digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*z - 3*l + l, -2*z = -3*l + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -46*h - 381. Let p be i(-10). Calculate the greatest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 17*l**2 - 7*l + 39. Let n be g(-17). Suppose -32 = 6*f - n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365170 is divided by 1022.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 103892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -207*d**3 + 7*d**2 + 11*d + 5. Let f be p(-5). Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k. Let r(y) = 5*y - 34. Suppose 5*j + 5*w - 29 + 4 = 0, -10 = 5*w. Let p be r(j). Calculate g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6614, -4081, -1548, 985, 3518?\n\"Answer: 2533*r - 9147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7525 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/11 + 36*j\/11 - 64\/11 = 0. What is j?\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 366 = 4*m, -r + 3*m = -2*m - 171. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2 + 232*f - 39. Let w be q(-18). Sort 35, 5, 1, w in ascending order.\nAnswer: w, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 5*z**2 + 3*z + 3. Let o(p) = -p + 10. Let q be o(-8). Suppose 0 = -4*f - r + q, -10 = 4*r - 2. Determine t(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 3*h**3 - 2*h**3 + h**3 + (h + 2 - 2)*(4*h**2 - 2*h**2 + 0*h**2).\nAnswer: 4*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -255812?\nAnswer: -255809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232543 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 85222 = -2664. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 5*r**2 - 4*r - 6. Let m(l) = -3*l**3 + 15*l**2 + 11*l + 18. Let c(u) = 3*m(u) + 8*v(u). Calculate c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w. Let g = 27 + -42. Let y = g + 17. Let z(t) = t. Calculate y*m(a) + 22*z(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 - 6*u + 4*u - u - 56.\nAnswer: -3*u + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - 6856?\nAnswer: -6914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 0*r**3 + 5*r**3 + 4*r**3 + 0*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162779 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73\/16 - 989\/208. Let q = 379 + -380. Are c and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - sqrt(275)*3 - sqrt(275)) + 3 + -2 + -4*sqrt(891) + 2 + -4)**2.\nAnswer: 102*sqrt(11) + 28612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 2*h**4 + h**4 + (489*h**3 - 467*h**3 + 4*h - 3*h)*(11*h - 2*h - 4*h).\nAnswer: 111*h**4 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a + 2264. List the prime factors of a.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/97, -1, -30, -5, 2\/3 in ascending order.\nAnswer: -30, -5, -1, -2\/97, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let j(i) = -42*i**2. Determine j(u(y)).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85222 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1492, -3\/7, -0.7, -5, 8 in descending order.\nAnswer: 1492, 8, 2, -3\/7, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1144 and 832.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y + 102. Let i be c(14). What is the third derivative of 9*p**5 - 21*p**5 + 56*p**2 + 16*p**5 + 16*p**i wrt p?\nAnswer: 240*p**2 + 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 12996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(36\/(-39) + 1). Let q be (-6)\/(-39) - (-464)\/j. Let z = q - 4. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 190*v + 333 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 366 = 4*w. Let m = w - -171. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2175480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 4. Let p be o(6). Let v be -1 + 3 + (-2 - -1). Let j = p - v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/115 - 3\/23. What is the nearest to -1 in 0.3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 10. Let r be l(-13). Let h = 58 + -25. Suppose -19 = 13*b + h. Sort b, r, 1, 6.\nAnswer: b, r, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1964 and 247.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 578223 or 578225?\nAnswer: 578225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*y + 33852 = 123*y - 232*y. Calculate the highest common divisor of y and 1178.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129381413?\nAnswer: 7, 97, 163, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Find the second derivative of k - 2 + t + t + 3*t**4 wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -8.2.\nAnswer: 57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50719 + 92719. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**4\/12 + d**3\/6 - d**2. Let o be h(-4). Suppose 13 = 2*r - 3*y, 3*r - y = -0*y + o. Put r, 1, -4 in descending order.\nAnswer: r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - (-234)\/27)*(-24)\/32 + 12. Solve -3*u - 13*k - 30 = -d*k, 3*k = -6 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.64 - -37. Let j = 0.04 + z. Let f = 0.377 + 0.123. What is the nearest to 0.5 in j, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103926998 divided by -7423357?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-16) - 2\/(-1). What is the nearest to v in 1, -4, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 81 = -31. Let n(w) = w**2 - 16*w + 62. Let s be n(t). What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6752 + -6756. Sort v, -2\/13, 4, 1, 1\/7 in decreasing order.\nAnswer: 4, 1, 1\/7, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 35. Let h be j(7). Let i(f) = f - 4. Let m be i(h). Suppose m*a = -2*a + 3*r + 475, 3*a - 285 = -3*r. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100011001001 + 110001?\nAnswer: -11011100010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1434300, 1434302, 1434304, 1434306?\n\"Answer: 2*s + 1434298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 14*w + 5. Let f(j) = -5*j**2 - 14*j - 6. Calculate 3*f(h) + 4*t(h).\nAnswer: h**2 + 14*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5583 divided by 68?\nAnswer: -5583\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -174.573 (b) 13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 11*m**5\/20 + 3*m**4 - 47*m. What is the third derivative of z(c) wrt c?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1, 2, -2\/9, -9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 26, 2\/3, -4\/5, 36\/29, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -0.8. Sort -3, 3\/4, k.\nAnswer: -3, k, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*z + 179 + 31. Solve 8*b - 18 = z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43026610 divided by 2\nAnswer: 21513305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -13*v. Let z(p) be the first derivative of -9*p**2\/2 + 69. Give z(f(y)).\nAnswer: 117*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1769401 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5634, 7, -4.\nAnswer: -5634, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + 4.5. Let h = 0.5 - -1.5. Let x = h - d. Which is the smallest value? (a) 1 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let j be s(-3). Let m be 1*(18\/27 + (-4)\/(-3)). Sort j, 4, m in ascending order.\nAnswer: m, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2706 and 76559505.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -85, -129, -177?\n\"Answer: -2*b**2 - 34*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**4 + s + 1. Let q(t) = 3*t**4 - 2*t**4 + 6*t + 3 + 4*t**4. Let m(x) = -3*g(x) + q(x). What is the second derivative of m(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = 5*i - 12, -3*i = v - 20. What is the remainder when 77 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4824068, 4824069, 4824070, 4824071, 4824072?\nAnswer: 4824073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*i**3 - 1)*(3 - 4 + 2) + 6*i**3 - 2*i**3 + 0*i**3 - i**3 - 2*i**3 + 10*i**3)*(-2 - i + 2).\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 67.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - 1122020201?\nAnswer: -1122012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3607948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 4 - 3. Let w be -4 + -1*(28\/4)\/x. Solve 9 = 3*f - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -47. Suppose -m = 2*u + 3*u - h, 4*u - 9 = -5*h. Is (u - 14\/(-6))*-39 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3\/2*n**2 - n**4 + 0*n**3 + 0*n + 4. What is the second derivative of y(u) wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.093 - -6842?\nAnswer: 7196.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i. Let s(p) = -11*p**2 - 6*p. Let c(q) = -5*d(q) + s(q). What is c(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*o - 23. Let t(f) be the third derivative of -f**4\/24 - 2*f**3 - f**2. Let r(a) = -a - 1. Let s(u) = 3*r(u) - t(u). Determine s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -39*t**3 + 7*t**2 - 7*t + 5. Let q(o) = 20*o**3 - 3*o**2 + 3*o - 2. Calculate 2*j(f) + 5*q(f).\nAnswer: 22*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(-2 + sqrt(1216))*-5*-6)**2.\nAnswer: -11520000*sqrt(19) + 439200000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -16*x**7\/105 + 43*x**6\/30 + 11*x**5\/5 - 3*x**4 - 25*x**2 + 2. Find n, given that c(n) = 0.\nAnswer: -1, 0, 3\/8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -1)\/(3\/9). Let h(g) = 16*g - 4. Let p be h(b). Let w = -33 + p. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from dmmdddmdmddmd?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/2)*194\/(-485).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5741312 and 77?\nAnswer: -442081024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 80*g - 3150. Let f = -513 + 353. Let c = g - f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 39*v**2 - 10*v - 14. Let s be a(-39). Let x = s + -163. Is x a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81878 (base 16) to base 14.\nAnswer: -db4c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (5 + (sqrt(171)*-2 - sqrt(171)))) + -3.\nAnswer: -8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*a**3*l**3*m**2 + 19*a**3*l**3*m - 10*a**2*l**2*m - 2*l**3*m**2 + l**2*m + 2*m**2 wrt a.\nAnswer: -120*l**3*m**2 + 114*l**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136\/175 + 18\/25. Which is the closest to -1? (a) -3\/4 (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 13*v**8\/28 - 5*v**4\/4 + v. Find the third derivative of t(q) wrt q.\nAnswer: 3120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:39 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03542 - -3267.03542. Let x = 3266.97002 - h. Let o = x - -0.03. What is o rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 8. Let p = 1555\/8 - 194. Let x be (-3)\/(-54) - 4\/18. What is the second smallest value in h, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -19*a + 34 + 68 - 14 + 39*a - 18*a. Let j(u) = -4*u**2. What is j(c(q))?\nAnswer: -16*q**2 - 1408*q - 30976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2.1, 1\/11 in increasing order.\nAnswer: 1\/11, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15*(4\/(-6) + 0). Let t = 17 - u. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (15 - (-1 - -14) - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 14565496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34726 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: Let t be 2*4*12\/32. Calculate the highest common divisor of 24 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*2457\/234*(-12)\/(-7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-3)*(-4)\/((-16)\/(-6)). Calculate the highest common divisor of v and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(36\/(-6))*13\/((-130)\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -93 - 70. Let l = 819\/5 + w. Suppose 0 = -2*z + 3*z - 1. Are z and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196990, -196985, -196978, -196969?\n\"Answer: n**2 + 2*n - 196993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -123?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 - 13*s**2 - 2*s**4 + s**4 - 2*s**3 as a*s + f*s**2 + d*s**4 + k*s**3 + w and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 272905337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3\/(-6 - 0). Suppose -37 = -p*s - s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*a + 13, -2*a + 1124 = 3*t. Solve t - 438 - 11*k + 35*k + 4*k**2 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 - a + 1. Let m be p(5). Let t be (-2)\/6*(-9)\/12. Sort m, 0.4, t in ascending order.\nAnswer: m, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-10)\/75)\/(16\/(-24))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9534?\nAnswer: 2, 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/3 - 62306*r**2\/3 - 124604*r\/3 = 0.\nAnswer: -31151, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - 552\/(-168)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 200110, 399002, 597894, 796786, 995678, 1194570?\n\"Answer: 198892*x + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d - 2*d. Suppose -56*y + 41*y = -225. Suppose 16*o - 11*o - y = 0. Solve -d*w = -5*w + o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-8)*(28 + 2). Let a(l) = -l**2 - 11*l - 8. Let h be a(-7). Calculate the lowest common multiple of 4 and ((-96)\/c)\/(8\/h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-45)\/(-2)) - (-83)\/9. Solve -n = 5*w + 4*p, 2*w + 5*p + 1 = 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) + 2*sqrt(343) + sqrt(343))*-6))**2.\nAnswer: 231868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7 + 4 + 10 + 2 - y. Let g be k(8). Differentiate -7*n - n + n + g + 5 with respect to n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - -3974?\nAnswer: 3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**3\/11 + 148*c**2\/11 - 50*c\/11 = 0.\nAnswer: -25, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**3\/3 + 7*r**2\/2 + r + 4. Let d(m) be the first derivative of g(m). What are the prime factors of d(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 t when three letters picked without replacement from {w: 3, y: 5, i: 5, t: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56337829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -230*6\/(-75) - (60\/25 - 2). Is 496\/29 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164942974, 164942976, 164942978, 164942980, 164942982?\nAnswer: 164942984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -243 and 2.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a\/a**4)\/a)\/(a*a**(-1)))**43\/(a*a**2*a\/a**(1\/3))**(2\/13) assuming a is positive.\nAnswer: a**(-3376\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -a - 2*r + 58, -6 = 3*r. Suppose 3*k - 3*f + 23 = 71, -f - 28 = -2*k. Calculate the highest common divisor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 12, 107, -1.\nAnswer: -7, -2, -1, 12, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tedtejkxx. What is prob of picking 1 x, 1 t, and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.001 + 0.00139. What is v rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*v + 4*v. Suppose v*j = 4*s, 3*s - 4*j + 8 = j. Solve s = -l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 21*r = -1842. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let h = 3821\/120 + -154\/5. Let m = -7\/8 + h. Which is the closest to -2? (a) m (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2253 + -2238. Calculate the remainder when 919 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2695726, -2695729, -2695734, -2695741, -2695750, -2695761, -2695774?\n\"Answer: -c**2 - 2695725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - (sqrt(768) + sqrt(768) + -1 + 5 + sqrt(768)) - (sqrt(18)\/sqrt(6) + -4 + (sqrt(3) - (sqrt(180)\/sqrt(6))\/sqrt(10)))) + 5)**2.\nAnswer: -330*sqrt(3) + 3292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d - 2*d - 3*d + 6*d - 4*d. Let j(m) be the third derivative of -7*m**4\/6 + m**2 - 13. Calculate j(k(z)).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 - 19*t - 9. Let k be d(-9). Suppose -6*j - 23 - 1 = k. What is the smallest value in 2, 3, j, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3482534 to the nearest one thousand.\nAnswer: -3483000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 2, -3, -1101, 49 in descending order.\nAnswer: 49, 2, -3, -115, -1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooeszszoszoeooo. What is prob of picking 1 z and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 48 = -5*n. Suppose -2*f + 0 = -n. Suppose -f = -3*k + k. What is the remainder when 6 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5237\/18697 - 15\/2671. Which is the smallest value? (a) i (b) 3\/5 (c) 3.3 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 28. Let d(x) = -x**3 + 10*x**2 + x - 8. Let p be d(10). Solve w*l - 3*l = 3*s - 32, 4*l + p*s + 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1220 and 0.3?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 5173743*s\/2 - 10347485\/4.\nAnswer: -(s - 10347485)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017513 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) -1753 (c) 1 (d) -3\/7 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 434 and 20.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 3. Let v be 4\/(-10) + (-51)\/(-15). Let l = -2236 - -2271. Calculate the remainder when l is divided by w(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootoqooooooqooqtoo. Give prob of sequence qq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*q - 0 + 4, 4*t = 3*q + 8. Suppose i - 20 = -q*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 554057645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31958 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129637\/2149 or 59?\nAnswer: 129637\/2149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 157597769 + 4*i + 157597770.\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 403983762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:31 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.3007398?\nAnswer: -0.4007398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/7 + 76152*a**3\/7 + 228426*a**2\/7 - 76152*a\/7 - 228429\/7 = 0. Calculate a.\nAnswer: -25381, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 17*m**2 + 18*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 11870, 0 in decreasing order.\nAnswer: 11870, 64, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*3*sqrt(204))\/(sqrt(12) + sqrt(192)).\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2.32?\nAnswer: -2.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(350) + sqrt(350))\/(sqrt(7) + sqrt(343)*-3 + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 5. Suppose 0 = 3*s - 2 - 4. Suppose 3*k + s*w + 22 = 0, 8*k + 45 = 3*k - 5*w. What are the prime factors of u(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 13 = -4*w + 2, -3*w + 12 = 4*j. Find the common denominator of -1 - -2 - (-115)\/(-18) and (j\/(-132))\/(3\/534).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2778337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5 = 7*q - 2*q, 3*g + q = 3. Let b(l) = -2*l. Let o(f) = f**2 - 3*f. What is g*o(n) - 3*b(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-14))\/5*(-28)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18176 + 4.9\nAnswer: -18171.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 136.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j - 16*j - 112. Solve -j = 13*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose -v*l + 36 = l. What is the highest common divisor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 25*p + 8. Is 17 a factor of t(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/((-60)\/(-5)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a + 42 - 29 = -81 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 10 = 2*x. Suppose 0 = x*w - 6*w + 236. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c - 38*c = -90*c - 104 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(((-24)\/(-16))\/(6\/4)). Let w be (-6)\/(-72) + (-1 + u)\/(-4). Let r = -74 - -74. Which is the third biggest value? (a) w (b) r (c) -4\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:23 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21004 (base 8) in base 6?\nAnswer: 104152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 5. Suppose g*v - 32 - 63 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -2\/3*f**3 + 0*f + 1\/60*f**5 + 5*f**2 + 0 - 1\/12*f**4. Let r be o(4). Solve -6*m - r*c = -m - 5, 4*m - 45 = 5*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3922)\/370 + 1 + 9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 103422 = 284262. Let s = 470772 - o. Suppose v = 3*v - s. Round v to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from uzzfzjp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*p - 38*p + 60*p)*(2*p - 3*p + 0*p)*(1 + 2 - 5) as v*p**2 + s*p + z and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 6. Let k be w(-10). Solve -4*a + k = -4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26964826 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 895?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-198))\/((-6001)\/108018).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 + 23642?\nAnswer: 24393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15*10\/4. Is z greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189 - 187. Let d be (25\/(-30))\/5*-1*x. Factor -d*i**2 + 2\/3 + 1\/3*i.\nAnswer: -(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*g**2 + 50*g**2 - 13*g**2 in the form o + r*g**2 + w*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (358 - 164*h**2 - 358)*(-5*h - 5 + 5).\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226.4 + -226. Let c = 4\/11 - 61\/77. Put y, c, -6 in decreasing order.\nAnswer: y, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3284*o - 3293*o + 1 + 7246*o.\nAnswer: 669*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(5\/(-15)). What is the tens digit of 184\/6 - p\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36 - 48)*2\/24. Which is the closest to 2? (a) 1\/6 (b) j (c) 1 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.2511328 to 2 decimal places.\nAnswer: 11.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1388*s - 1388*s + 1103*s**4 - 1 + 2*s**4 + 1 + (2*s**2 + 2*s**2 - 6*s**2)*(2*s + s**2 - 2*s) - s**4 - 2 + 2.\nAnswer: 1102*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17 + 45*j - 72 + 55. Let t(s) = 8*s. Let l(m) = -34*t(m) + 6*v(m). Let x(r) = r**2. Calculate l(x(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2 - 2*c + 8. Let p be z(1). Suppose 5 = -5*a - 0*a - 5*l, 4*a - 20 = 2*l. Suppose -a*i - 14 = 1. Is p at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 18*b**2 - 23*b**4 + 29*b**4 + 0 - 17*b**4 in the form z + s*b**4 + k*b + l*b**3 + q*b**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36540663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -2, -98, 1, 3, 166 in decreasing order.\nAnswer: 166, 8, 3, 2, 1, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7200 - 7256 + 14456 + 517*c**2.\nAnswer: 517*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1881, 1782, 1685, 1590?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - 4\/14. Suppose -5*n - 22 + 72 = 0. Suppose 9*k - n*k = 0. Solve k = s - v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78678 divided by -9?\nAnswer: -8742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cntucdcccdcoccc.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23245, 23442, 23639, 23836?\n\"Answer: 197*x + 23048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -2\/17 (c) -3\/7 (d) 149 (e) 0 (f) -12 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170753 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78191679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 8*b**2 + 3*b. Let l(u) = 9*u**2 + 3*u. Let k(y) = -2*l(y) + 3*z(y). Factor k(p).\nAnswer: 3*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 greater than or equal to 144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4))**(-2\/21)\/((w*w**24\/w*w)\/w*w**(-7\/4)*w) assuming w is positive.\nAnswer: w**(-1921\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4\/11, -7, 91, -2.6, 3, -0.2?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(351\/(-54)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Suppose 8 = 2*m + 4*i, -4*m - i = i - 10. Let p(a) = -4*a + 25. Let b(x) = -x + 1. Let h(l) = m*b(l) - p(l). Determine j(h(o)).\nAnswer: 4*o**2 - 92*o + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/25))*n\/(n**(-2\/39)*n))**(4\/15)*(n**(-1)*n*n*n**(-2\/7))\/(n*n**2)**(3\/34) assuming n is positive.\nAnswer: n**(1538219\/3480750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 26. Let o be n(-6). Suppose -u - r - 13 = -3*r, -u = r - o. List the prime factors of u\/(6\/(-34))*(-1 + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-528)\/108)*24\/198.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(-3 - (-57)\/18). Let n = -20 - -36. Solve j + n = m*o - 5*o, 5*o + 26 = -j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1 = -5*p, 422*p - 424*p - 32 = -5*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5 - 2 + 77*g - 11*g + 1 to the form a + p*g and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84*t**2 - 3229053*t - 270750885?\nAnswer: 168*t - 3229053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 2*d**5 - 2*d**4 - 20*d**5 - 651 + 651 + (-2*d**4 + 3*d**3 - d**3 + 3*d**3)*(0 - 1 + 3)*(-1 - d + 1).\nAnswer: -14*d**5 - 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -167*q + 21. Let s(r) = -10 + 33*r - 19*r + 27*r + 43*r. Let f(u) = 5*s(u) + 2*z(u). Let a be f(-7). Round a to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-380)*(-5)\/3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 0*h)*(1 - 2*h**2 - 1) + 4*h**3 + 0*h**3 - h**3 + (-16*h**2 + 78 - 78)*(0*h - 2*h - h).\nAnswer: 49*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 - 2*3\/6. Suppose a = -5*g + 12, 3*g + p = 3*a - g. Calculate the remainder when 27 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/742 - ((12 + (-2576)\/(-196) - 17) + -8)?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 0 + 2 - 38*n + 1 - 1.\nAnswer: 2*n**2 - 38*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14619*p. Let i(m) = m. Give i(r(o)).\nAnswer: 14619*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:51 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/30 - 23*k**5\/15 + k**4\/6 + 46*k**3\/3 - 1644*k**2. Factor j(s).\nAnswer: -4*(s - 1)*(s + 1)*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 s when three letters picked without replacement from sswdswwsdw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1, 1 in increasing order.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c3765 (base 16) in base 6?\nAnswer: 255020341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2818 = -6*r + 8890. Let l = r + -3112. Round l to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89831.\nAnswer: 7, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27241 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1920, -2408, -3222, -4362?\nAnswer: -5828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) 23 (c) 0.89 (d) 0 (e) 0.1 (f) -19 (g) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.149 and 0.047.\nAnswer: 3.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 8327 (c) 2\/3 (d) -0.2 (e) 1\/3 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -38 (b) -1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*f. Suppose 5*d = -f*d + 266. Suppose 3*b + d = 128. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/5)*v*v**(-2\/7))**(-45) assuming v is positive.\nAnswer: v**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-8) - 2\/(-8). Suppose 0*p = 2*p + d. What is the units digit of ((-6)\/(-4))\/((-1)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6159 - 6107. Solve -12*c = c + k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 236, 550, 988?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 10*v - 2*v. Suppose 0 = -17*c + v*c + 6. Solve 0 = -f + 5*u - 24, 3*u = 4*f - c + 31 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + (-2 - 3) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9071 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3219\nAnswer: -2\/3219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/198472 and 31\/198472.\nAnswer: 198472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -1. Suppose 0*x - k*x + 4 = 0. Suppose -y = -x*y. Solve y = 2*s - 3*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:48 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = 14. Let d = x + 1. Let p(h) = -3*h**2 - h + 1. Let t(s) = -10*s**2 - 4*s + 3. Let j(m) = 7*p(m) - 2*t(m). Give j(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58702608*l**3*m - 7*l**2 + 9*l*m + 94419*m wrt l.\nAnswer: 352215648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*b - 3\/4*b**2 + 1\/4*b**3 + 0.\nAnswer: b*(b - 5)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*x - 12 = 0, -2*x + 4*x = 6. Let n(z) = -h - 3*z + z - 2. Calculate n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose l*r + 4*o + 0*o - 10 = 0, 2*o = 2*r - 10. Differentiate 1 - r + 2 - 3*g**2 with respect to g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3467961300 a multiple of 2767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**5\/12 - 7*d**3\/6 + d**2\/2 - 7. Let f(j) be the second derivative of z(j). Differentiate f(s) with respect to s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68824?\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:12 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32070733187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*k = -8271 - 21564, -23868 = -4*c - 3*k. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 7*n**4\/3 + 7*n**3\/3 + 7*n**2 + 567*n. Let u(h) = 9*h**2 + 5*h + 5. Calculate -14*u(q) + 5*x(q).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 121) + 41 - -89.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 > -226\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 2*t - 3*t)*(t - 5 + 5)*(3 + 3 - 1 + 2*t) to x*t**2 + p + q*t + g*t**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28361, -56722, -85083, -113444?\nAnswer: -141805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2184 and 79\/1898?\nAnswer: 159432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -509 + 515. Solve -a = -3*v + 5*v + 4, -b = 2*v + 2*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190.12 - -180. Let q = 4.94 + w. Let z = q + 5. Round z to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j**3 + 4*j**3 - 4*j**3)*(-j - j + j - 3*j + j + j - 5 + 5 - j + (-4 + 4 + j)*(-4 + 4 - 2) - 3 - j + 3 + 0*j - 2*j + 3*j).\nAnswer: 15*j**4 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 9*u + 20. Let x be 10\/4*120\/50. Let j be m(x). Suppose s - 44 = 2*o, j*s + 5*o - 7 - 54 = 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: Suppose 2*n = -4*b + 36, 5*b + 0*n - 46 = -2*n. Suppose -2*q + b = q - h, -h = -4*q + 13. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 5*i + 0*i)*((2*i + i - 4*i)*(4 - 3 - 2) + (2 - 5 - 1)*(-i - i + 3*i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Suppose -4*v + 153 - 29 = t. Let d = -4 + v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -712876.356 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 78\/(-13)*10\/(-3). Suppose -33*a + s*a - 20*a = 0. Is -14\/145 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -t + p, -4*t = -2*p - 8. Suppose -4 + 20 = t*b. Let x(d) = d**3 - d + 1. What is the remainder when x(2) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**3 + 3*q**3 - 9*q - 26*q**3 + 8*q + 7*q**3.\nAnswer: 5*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-8)*(-10)\/7*108\/(-135)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f + 23. Let x be s(7). Suppose -4 = l - v, -3*l + v - 5*v = -x. List the prime factors of -1 - (l - -3 - 34).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.296 + -0.293. Let w = 14 - k. Let u = w - 4.197. Round u to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -146, -71.\nAnswer: -146, -71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003417155 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 + 14*b - 18. Let k(y) = -y**2 - y + 1. Let z(n) = -6*k(n) - x(n). Is 21 a factor of z(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/((-2)\/(-30)). Let s be (-6359998)\/6 + (-2)\/q. Round s to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1498\/15 + 199\/2. What is the common denominator of (42\/(-9))\/(1 - 19) and c?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3514?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -29337110 to the nearest one hundred thousand.\nAnswer: -29300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 8 + 3)*(-18 - 23*c**4 + 18) as m*c**2 + a*c**3 + y*c + q + g*c**4 and give g.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faaijncnaccaajj. Give prob of sequence facc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.6. Let p = 0 + o. Let u = 4.8 - p. What is the smallest value in -0.4, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51 and -0.3387?\nAnswer: -17.2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275 - 238 - (1 + 42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/59 in -0.1, -0.4, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623 = x - 2094. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 2*n - 2. Let w be t(3). Suppose -w = -4*h + 2*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815392243?\nAnswer: 815392243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/22 and -133\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*r**2 + 600336*c**3 - 23*c**2*r**2 + c**2*r - 2*c**2 + 2717*c + r**2 wrt c.\nAnswer: 6*r**2 + 3602016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.17 - 3.021. Let j = 0.149 - v. Which is smaller: 1\/209 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40852, 81669, 122486, 163303?\n\"Answer: 40817*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 7*m + 1. Let b be s(7). Suppose q = -2*q - 18. Let i(f) = f**2. Let o(n) = n**2. Let l(w) = b*o(w) + q*i(w). Let k(z) = z. Calculate l(k(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What comes next: -2607, -2588, -2535, -2430, -2255, -1992?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 68. Let k(d) = -10 + 0 + 3 + t*d - 25. Let g(a) = -12*a + 63. Let w(s) = -6*g(s) - 11*k(s). Differentiate w(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 100*b - 31. Is v(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280826473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5. Let t be -4 - 78*(1 - 15\/10). Let w(m) = -m**3 + 35*m**2 + 2*m - 66. Let o be w(t). Give r(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829168 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1*6\/9). Suppose 409 = s*r - 80. Suppose 4*j = -4*c + 652, -c + 2*j = j - r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79920677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4670*0.2.\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3 - (-84)\/32). Suppose -33*k + 35*k - 6 = 0. What is s in 0 - u*s**k + 3\/4*s**4 + 0*s**2 + 0*s = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*z**2 - 189*z**2 + 708*z**2 - 182*z**2 - 178*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 3. Calculate the common denominator of 101\/12 and 838\/60 - l\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892833911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002330631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 3*f + 29. Let y be u(-12). Let l = y - -55. What is the tens digit of (-1)\/(2\/l) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 16*g**2 - 40*g - 9. List the prime factors of a(-18).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0643 * -0.1653\nAnswer: 0.01062879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + 2*m - 8 + 2)*(2 - 22 - 35) to a + k*m and give k.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28128 and 12532782.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z - 5. What is the remainder when y(4) is divided by (4\/8 - 0)*22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 788 + 248*y - 115 + 179 + 589 - 277 wrt y.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 0*j + j)*(j**2 + 0*j**2 - 5*j**2)*(0 + 9*j + 0) + j**4 + 0*j**4 - 3*j**4 to n*j**2 + x*j + b*j**4 + k*j**3 + o and give b.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:34 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-4 - -4) + -5 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 + 3*h**2 - 5. Let d(v) = 2*v**3 + 2*v**2 - 3. Let s(r) = -7*d(r) + 4*y(r). Let j be s(1). Factor p**2 + j + 3*p**2 - 5*p**2.\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11681, 23237, 34539, 45455, 55853, 65601, 74567?\nAnswer: 82619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.226 - 0.95. What is p rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 616457804\/6074901 - -1\/867843. Let h = -307\/3 + d. Suppose 3*j - 17 = -2*s + 3*s, 2*j - 6 = -2*s. Is h less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*5\/3)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - -17) - (-37 + 8 + 25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = -12*c - 443 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -562 - 6*m**2 + 2234 - 555 - 560 - 557. Let a(s) = 12*s**2 + 2. Let v(c) = -c**2 - 1. Let o(p) = -a(p) - 2*v(p). Give o(u(w)).\nAnswer: -360*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 12. Let p be c(-5). Let i be p\/(-74)*12 + 0. Let t = 59\/259 + i. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-12))\/((-1)\/(-114)). Suppose 12*s - f = 8*s. Suppose -17 = -11*a + s. What is the remainder when 8 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24441035 (base 7) to base 15.\nAnswer: -2d5508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 262*p - 1 + 1 + 239*p.\nAnswer: -23*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 22*b**2 - 8*b**2 - 10*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeu when four letters picked without replacement from {e: 5, u: 2, n: 6}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) -7\/716\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1506*y = -1510*y + 20. Solve -y*m - 3*v - 27 = 0, 4 - 3 = -3*m + 2*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192566 less than 20.72?\nAnswer: -192545.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 3, 4, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3927*q**2. Let b(h) = 8*h**2 + 2*h**2 - 5*h**2 + 11*h**2 - 18*h**2. Calculate y(b(a)).\nAnswer: 15708*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kykk when four letters picked without replacement from okykokokon?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/45)\/(-2 + (-16)\/(-4)). What is the nearest to -0.3 in 3, 2, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -28. Sort 0.2, v, -3 in descending order.\nAnswer: v, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 112\/3 (b) 24\/11 (c) -0.5 (d) 0.5 (e) -0.6 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 126373*r**4\/12 - 8*r**3\/3 - 38*r**2. Let y be p(-4). What is y rounded to the nearest ten thousand?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -4\/5 (c) 13\/81 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:13 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by 1.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*d + d + 48, -2*g = -5*d - 87. Let t be (0 + 29)*4\/4. Suppose t = 3*b - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwwz when four letters picked without replacement from {w: 2, i: 1, o: 2, q: 1, z: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0 (c) 10 (d) 0.082 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1123*c**3 + 8719 - 8719)*(15 - 15 - 3*c)*(-4*c + 3*c + 3*c).\nAnswer: 6738*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*d**3 - 257*d**3 - 201*d**3 + (d**3 + 4*d**3 - 3*d**3)*(-3 + 2 + 2) + 0*d**3 - 2*d**3 - d**3 to j + b*d**3 + u*d + t*d**2 and give b.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22907\/9904 - -1\/2476. What is the common denominator of -47\/10 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -30, -47, -66, -87, -110?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*s + 32*s - 18*s)*(-25 + 39 + 30)*(5 + 0 + 1) as y + b*s and give b.\nAnswer: -6072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 90, 219, 400, 633, 918, 1255?\n\"Answer: 26*b**2 - b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4574\/21 - 1520\/7. Factor -10*q - f*q**2 + 32\/3.\nAnswer: -2*(q - 1)*(q + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.211 and 1127038.15.\nAnswer: 1127038.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17535 or 17536?\nAnswer: 17536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - -10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15 - 12 + 27 + 14*l. Let s(j) = -18*j**2. Give a(s(o)).\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11220 + 2?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 - 2194*d**2 - 1098*d + 2. Determine m(549).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*l = -697*l - 2226 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(2 - (7 - (-3 + 7))*1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 14, l: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3889424 divided by 784.\nAnswer: 4961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-23)*((-70)\/15)\/((-1190)\/102)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**3*w - 2*p**2*s + 526726*p*s + 1561*s*w + s + 2*w + 69 wrt p.\nAnswer: 3*p**2*w - 4*p*s + 526726*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1903 - 1898. Which is the smallest value? (a) -2\/11 (b) 0.5 (c) -0.1 (d) h (e) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/((-4)\/72). Suppose t - f = -2*t. Solve 6*c - 2*c + 11 = k, 0 = c - t*k - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 0.4 (c) -3 (d) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54 + 54 + 5*g**4 + 8*g**2 wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1232 + 1232. Solve 6*k - 24 = -v*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 100001000010011?\nAnswer: -100001000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*h - 64, 4*d = -3*h - 29 - 14. Let f = -13 - d. Solve o = 3*l, f*o = -3*l + 5*o + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**4\/2 - 162*r**3 + 11073*r**2\/2 + 6025*r - 11400 = 0.\nAnswer: -2, 1, 40, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2 - 3*a - a - 2 - 2. Let l be j(1). Let v(p) = -7*p + 1. What are the prime factors of v(l)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -3875*i**8\/168 + i**5\/12 - 97*i**3\/2 + 10318*i**2. What is the third derivative of g(h) wrt h?\nAnswer: -465000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -79. Suppose z*b - 5*b = -388. What are the prime factors of b?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91614 and 36.\nAnswer: 549684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h + 37054 = 36739 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v. Let y = v - -3. Suppose -z - 5*r = 11, -y*r - 14 = 3*z - 41. What is the remainder when 40 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 divided by -66?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 37*h**2 - 26*h - 31. Let a be t(-37). Suppose 0 = -31*c + 4897 + a. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 289 = -2*o - 285, -4*f = -3*o - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 36*m + 37.\nAnswer: -(m - 37)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(108) + (sqrt(108)*2)**2) - sqrt(108) - (sqrt(108) - (1 + (2*sqrt(108))**2)).\nAnswer: 12*sqrt(3) + 2161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -136426.\nAnswer: 3\/136426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -61. Let x be v - (1 + 0 - 20\/8). Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 812715.59954 + -812707. Let z = 8.6 - a. What is z rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 8 = f + 1, 23*w = -2*f - 31 - 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.88371 rounded to 2 decimal places?\nAnswer: -4.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*w - 327*w - 60 = 0. Suppose 0 = -8*b + 28 + w. Let u(f) = f**2 + 4*f - 7. Let a be u(-6). Solve 2*j + 3*y - a = 0, 0*y = b*j - 4*y + 45 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -97.5. Let z = i + -64. Sort 1\/5, 1, z in decreasing order.\nAnswer: 1, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2420)*3*-1)\/((-2*sqrt(48)\/sqrt(4) + sqrt(12))\/(1*1*sqrt(3))))**2.\nAnswer: 21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - v**2 + v**3 + 12 to the form r*v**3 + o*v + q + g*v**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2451996*d**3 + 407212*d**2?\nAnswer: 14711976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(153) - -3*sqrt(153))*4 + sqrt(153)))\/(sqrt(36)*-6 + (sqrt(9) + sqrt(9)*-2 + sqrt(9))*3) + -5.\nAnswer: -5 + 17*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = m - 3*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/t)\/(t**(-3\/5)\/t))\/(t**(-3)\/t*t\/t**3) assuming t is positive.\nAnswer: t**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -350000*l. Let m be v(-4). Round m to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 752, 1679, 2976, 4643, 6680, 9087?\nAnswer: 11864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 40, 41, 40, 37, 32, 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*-3 + (2 + sqrt(117))**2 - (sqrt(91) - (-1*sqrt(91) - sqrt(91))*-3)\/sqrt(112).\nAnswer: -7*sqrt(13)\/4 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (22 - -10) + -65?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.50709 - 4.\nAnswer: -3.49291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 take away 349?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + -1)\/(11\/(-1111)).\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4201516 divided by -5617.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j**3\/3 + 7924972*j**2\/3 + 18114352*j\/3 + 4528592\/3 = 0. What is j?\nAnswer: -2, -2\/7, 283037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.30749284385 + 1.\nAnswer: 7.30749284385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-3130)\/(-900)*-2 - -7). Let l be (0 + 4)*6\/(-8). Let u = -3 - -2.5. Which is the nearest to 0.2? (a) j (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9) + (0 - 1 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 433687127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**5 + q**4 - q**3 + q. Let f(b) = 6*b**4 - 6*b**3 + 4*b. Let h(r) = -f(r) + 6*x(r). Find the second derivative of h(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244988 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7740 and 2365?\nAnswer: 85140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t - 81000 = 0. What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4618 = 12*u + 10946. Let d = -708 - u. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**2 + 2*b**2 - 3*b**2)*(1 - b - 1) + (-1 + 0 + 0)*(2*b**2 + 2*b**3 - 2*b**2) + 0*b**2 + 0*b**2 - b**3 - 2*b**3 - 2*b**2 + 2*b**2.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 197 (base 13) to base 4\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:34 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 + 214\/3. Calculate the common denominator of -37\/18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5418582, 0.5, 1 in descending order.\nAnswer: 1, 0.5, -0.5418582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let c(p) = 20*p**2 + 1660. Calculate c(t(l)).\nAnswer: 20*l**2 + 1660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.85681 decades in months?\nAnswer: 6942.8172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.3998787\nAnswer: -0.7997574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -34*t**2 + 145*t - 14. Let m(y) = -16*y**2 + 73*y - 6. What is 7*m(j) - 3*p(j)?\nAnswer: -10*j**2 + 76*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 193*f**2 - 2 - 12*f - 97*f**2 - 94*f**2. Let w be o(6). Let y(g) = -3*g**3 - g - 1. List the prime factors of y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 840 and 16751360?\nAnswer: 351778560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822561?\nAnswer: 13, 140197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 8:30 PM?\nAnswer: 297","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -927*h + 454*h = -461*h - 456 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Let h(g) = -6*g - 2. Let d be h(-2). Let t = d - 6. Solve 3*l = z*l - t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 25 = -k - k + 27*c, -19 = k + 3*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/315 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 3*u - 1. Calculate f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4992 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523866?\nAnswer: 2, 3, 7, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -142 (b) 4 (c) -1 (d) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0923 - -26.8323. Let c = 69.72 - x. Let o = c + -44. Round o to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - 13\/6. Suppose y + 3*y - 20 = 0. Suppose 0 = -f + y*f - 2*k + 24, -4*k = -3*f - 23. Sort -0.5, f, a.\nAnswer: f, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)*4 + -3)**2.\nAnswer: -216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5*r**4\/12 - r + 2. Let h(v) be the first derivative of x(v). Let t(y) = -70*y**2 - 1 + 106*y**2 + 1 - 37*y**2. Give t(h(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 31*f**6\/15 - 83*f**5\/20 - 4*f**2 + 33*f. What is the third derivative of s(i) wrt i?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -197*w - 8. Is l(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 225 and -49777.04?\nAnswer: 50002.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/2)\/((w*((w\/(w*w*(w\/(w*w\/(w**(2\/29)\/w)))\/w*w)*w)\/w)\/w*w*w)\/w))\/(w*w*(w\/w**1)\/w*w)**6 assuming w is positive.\nAnswer: w**(-721\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*m + 2*m - 6, -5*a = m + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s**3\/4 - 8247*s**2\/4 - 19191*s\/2 + 2910 = 0.\nAnswer: -388, -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -18 * -24.5\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5783.23 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-30) + 2\/5. Suppose -2*b - 6 = -w*k, -4*k + 1 = -3*b - 7. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3328 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690149*c**2 + 690149*c**2 - 11*c**3 - 1 + 1.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69773*k**4 - 156*k**2 + 2*k - 5.\nAnswer: 1674552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25295 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*n**4 + 23*l*n**2*s - 2*l*s - 11*n**4 - 7*n*s - 40*n + s wrt n.\nAnswer: -24*l*n**2 + 46*l*s - 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(2 + (sqrt(320) - (1 + 0 + sqrt(320))) + (5 + -1*sqrt(320))*6))**2 + -2.\nAnswer: -26784*sqrt(5) + 112330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12417.51ms in minutes?\nAnswer: 0.2069585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9585 by 3.\nAnswer: 3195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -80. Let l be ((-2)\/(-5))\/((-1)\/(-85)). Calculate the greatest common factor of u and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 4*m. Let b(h) = 34*h**2 - 21*h + 1. Calculate 2*b(y) - 11*q(y).\nAnswer: -9*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -3*v**4\/4 - v**3\/6 - v. What is the second derivative of u(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) -3 (b) -6 (c) 1\/444 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -27) + (17 - 38) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18059*q**2 - 6301*q**2 - 5541*q**2 + (4 - 4 + 1)*(-4 + 4 - q)*(1 + 3*q + 1 - 3) to the form o + c*q**2 + b*q and give c.\nAnswer: 6214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/7, 41, 3\/4, -2\/39 in descending order.\nAnswer: 41, 3\/4, 1\/7, 0.02, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2 - 2 + 4*d - 3*d. Let p(k) = 3*k + 2. Let q(m) = -1. Let v(g) = -p(g) - 2*q(g). Give w(v(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 108*g**3 + 5.\nAnswer: -108*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 103*i + 294. Determine b(31).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2025546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/9)))**(-44) assuming f is positive.\nAnswer: f**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 13*v**3 + 8 + 1.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, k: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 138*t - 9. Let c(p) = 92*p - 6. Let l(d) = 8*c(d) - 5*f(d). What is the remainder when l(1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-12)*8\/(-30). Let a be (1\/(-9))\/(1\/4). Let u be 13\/(39\/(-9)) + (-62)\/(-18). What is the second biggest value in u, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122637*y**2 + 38326 wrt y?\nAnswer: 245274*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69587.83 grams?\nAnswer: 69587830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 41*f**2 + 359*f - 97. Give x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 - -3525335?\nAnswer: 3525525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 29 = -3*k - 7, -3*b - 4*k = -48. Let m be (-1)\/(-1)*(-8)\/2. Let o be m\/((-300)\/(-81)) + 1. Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-40)*56\/98.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:18 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2 + 7. Suppose 2*p + 2*o = -0*o + 4, -p = -2*o + 4. Determine z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*x**3 + 42*x**3 + 45*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -10011?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -216, -85, 46, 177, 308?\n\"Answer: 131*l - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 5. Determine v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*r + 5*c, 0 = 3*r - 5*c - 4 + 2. Let t be 18\/r + -2 + 7. Put t, 0.1, -0.04 in descending order.\nAnswer: t, 0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0174 + 535.\nAnswer: 534.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8*o + 35 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from mymvmvmmmymy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 1400058576.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*j + 424*j = -336. Let z(o) = o - 17. Let a(s) = -s + 9. What is j*z(r) + 11*a(r)?\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 575009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 89, 85, 79, 71, 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182275 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -i. Solve 3*x = 2*u + 1, -i*x = -8*x + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15833 + 15832. Sort -0.2, -0.5, q, -1519.\nAnswer: -1519, q, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -92733*l**2. Let f(q) = 110*q**2. Give s(f(p)).\nAnswer: -1122069300*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 1.7. Let h = u - -1. What is the second smallest value in 0.3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*n*p - 183*n*v + 20*n + 370*p*v - 4*v wrt p.\nAnswer: -44*n + 370*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*i + 2977*f**3 - 2653*f**2*i - 5*f*i wrt f.\nAnswer: -6*i + 17862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2576*b**2 + 6874. Let u(d) = -2*d. Determine n(u(v)).\nAnswer: -10304*v**2 + 6874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 - 1 + 4 + 7*d**2 - 3 + 7 - 4*d. Let w(i) = 2*i**3 - 3*i**2 + 2*i - 3. Let r be (35\/(-15))\/((-1)\/(-3)). Calculate r*w(o) - 3*t(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31326 > 31325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 55*s**2 - 47*s + 28. What is the tens digit of n(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 145\/(-184) + (-14)\/161?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.3 - 19. Sort -8, q, -0.5 in increasing order.\nAnswer: -8, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432) + -1 + sqrt(432)*1 + sqrt(432) + sqrt(432).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -z + 607. Calculate the common denominator of (-92)\/(-32)*6 + 3 and z\/(-220) - 2\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 126. Suppose b*n + 4*n = 56. Solve -n*d + 6*d + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 112044694\nAnswer: -5\/112044694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from szsszszszszsss.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 - 1317*g**2\/2 + 6036*g - 5376.\nAnswer: -3*(g - 8)*(g - 1)*(g + 448)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 45. Let s = -2\/9 - -17\/36. What is the closest to 0.1 in -2, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 67*j**2 - 15*j - 41. Let u(d) = d**3 - 16*d**2 + 4*d - 69. Let z be u(16). What are the prime factors of h(z)?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 67 - 127 + 905*o)*(-5*o**2 + 2*o**2 + 2*o**2).\nAnswer: -905*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:11 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3 + 7. Suppose -b + q + 2 = 0. Suppose -n = -3*p - 24, b*p = -n + 3*p + 12. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 - y**2)*(0*y**2 - 4*y - y**2 + 1 + 2*y).\nAnswer: -y**4 - 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - (6 + 1365\/(-20)). Is m bigger than 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 9 - (93 - 107).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpvoonn. Give prob of sequence pn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.8735 weeks in minutes?\nAnswer: 875684.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142989064 is divided by 55123.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0.4 (b) 1\/2 (c) -2\/9 (d) 0.1 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152726113 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1939)\/280 + 7)\/((-1)\/(-54)) and 103\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12757050 rounded to the nearest ten thousand?\nAnswer: 12760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 296?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28545448?\nAnswer: 2, 17, 19, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*x = -3*l, -4*l = 5*x. Are -1\/46 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/19 in -0.1, -0.5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.113237 + 0.113. Round f to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3201 - -1101?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -769 - -811. Which is bigger: 30 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 90*o**2 - 286*o + 669. Let n be v(93). Let p be (-6)\/4*(-544)\/12. Suppose -4*w + 0 = -p. Is w > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 6847993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkkmkhmmlmkkpmkmkmk. Give prob of picking 1 p and 1 k.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*k + 5*k - 194, 0 = k - 2*i - 101. Let q = -7787 + 7911. Calculate the highest common divisor of k and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 + 10*m**2 - 105*m - 7. Let u(v) = 27*v**3 + 49*v**2 - 524*v - 39. Let w(p) = 11*a(p) - 2*u(p). What is w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1640147?\nAnswer: 1640143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223805177\/1719 + -130195. Find the common denominator of h and -89\/6.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-336)*6\/(-4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from nxnnnnxnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*l**3*m - 11906863*l**3 + 98220*l*m**3 with respect to m.\nAnswer: -61*l**3 + 294660*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4041 - 662?\nAnswer: 37bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010288 rounded to 7 decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 - 66*c - 44. Let i be y(10). Let r(a) = -a + 9. Calculate r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -16. Let l(b) = 3*b - 2. Let z(a) = -1. Let v(i) = 8*i - 12. Let o(h) = -v(h) + 6*z(h). Let w(s) = k*l(s) - 2*o(s). Differentiate w(u) wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200210 (base 4) to base 13.\nAnswer: -c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 19. Determine h(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291761 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 309254455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 89\/170 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -196656110 divided by -5?\nAnswer: 39331222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 15*l + 1 - 1 to x*l + f and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.053 and 347.\nAnswer: 712.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15609719.66 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, o: 1, b: 2, j: 1, q: 1}. What is prob of sequence oq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9*n + 48 = 0, -31526*f + 0*n = -31529*f + 3*n - 12 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167851?\nAnswer: 53, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + -201102?\nAnswer: -202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 - -305. Suppose 5*z - 373 = o*l, -70 = 5*z + l - 458. Calculate the remainder when 140 is divided by z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 - 0.4. Let m = -2.239 + 3.239. Sort -0.3, m, x in decreasing order.\nAnswer: x, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19366*c**2 - 52390*c**2 - 19841*c**2.\nAnswer: -52865*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/11 + (-9)\/33*582*(-15)\/(-540)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaad when four letters picked without replacement from akkdkdddadddkaka.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnimnimmninmimnenn. Give prob of picking 4 n.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.89 - 0.11. Let w = 48.0036 + y. Round w to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, 1\/4 in decreasing order.\nAnswer: 4, 3, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1849 - -28)*(4 - 41\/9). Is 1011 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76564565, -76564566, -76564567?\n\"Answer: -q - 76564564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let f(t) = 73*t**2 - 5*t + 5. What is the tens digit of f(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 8. Let x be a(5). Calculate the greatest common divisor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 614 - -5?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 + 130 = -65*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -13*z**4\/28 + 27*z**3\/7 - 12*z**2\/7 - z - 53. Solve t(j) = 0.\nAnswer: 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**2 + 88*b - 84 = 0.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 less than 0.049?\nAnswer: -104.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/59, -2, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 8:38 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -4\/5, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-5 + (29 - (40 - 17))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4753925 rounded to four decimal places?\nAnswer: 0.4754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcdc when four letters picked without replacement from {b: 1, c: 5, g: 4, y: 9, d: 1}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5694\/143 + 274\/1507.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 882, 3133, 6650, 11427, 17458, 24737, 33258?\n\"Answer: -m**3 + 639*m**2 + 341*m - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 79 = 4*n, 245 = 4*b - 5*n - 60. Suppose g - 5*x = -4*g + b, -28 = -2*g + 4*x. Calculate the least common multiple of g and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691890.\nAnswer: 2, 3, 5, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let d(r) = 7*r + 4*r**2 - 16*r - 2*r**2 + x. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.00794 * -8\nAnswer: 24.06352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + 2*sqrt(209))*-1 - sqrt(209))\/(5*-1*sqrt(11)).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:03 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*l + 5977, -5*l + 2*l = -5*h + 7455. What is the greatest common divisor of h and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -30, -82, -166, -288, -454, -670?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 - 10*i)*(60 + 48*i - 60) to o*i**2 + d + w*i and give o.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 + -311?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -858 by 2.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 3. Let b(g) = -6*g + 4*g - k*g - 2. Is 14 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-24)\/(-11) - 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439 + 432 - (4 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4071006\/1183 or 3441?\nAnswer: 3441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(216))\/sqrt(12) + (sqrt(162)*2)\/sqrt(9))\/(-4*sqrt(42)\/(sqrt(7)*1 + sqrt(7))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i + 4)*(5*i**3 + 719*i**2 + 12*i - 719*i**2 + 2).\nAnswer: -5*i**4 - 12*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*-1 - -1*2. Let h = 66 + 53. Let o = 119 - h. What is the second smallest value in o, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vovo when four letters picked without replacement from {g: 1, d: 1, v: 1, o: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - 153. Let c = 202 + g. Do -0.06 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2677*a + 61. Let z(t) = -5353*t - 112. What is 11*l(r) + 6*z(r)?\nAnswer: -2671*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 161?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:22 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1 + 0 + 0. Let c(g) = -23*g**2 + 2*g - 6. Let j(m) = -c(m) + 3*z(m). Find the first derivative of j(x) wrt x.\nAnswer: 46*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 34794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(10)*2)\/sqrt(2) + 3))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1025369\nAnswer: -3\/1025369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 14\/1 + -1. Suppose 0 = -6*t - 7*t + 26. Let l be (t + -1 - -7) + (9 - c). Solve l*h + 4 = -16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/1428685 and -83\/87100520?\nAnswer: 2525915080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d - h + 19002, 15192 = 4*d - 4*h. Suppose 1322 - d = -3*p. Suppose -2*g = 90826 - p. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.231 and 0.043.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**12*o)**(2\/67)\/(((o\/(o*o*o**(-2\/15)))\/o)\/o**17) assuming o is positive.\nAnswer: o**(19381\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 81, 123, 165, 207, 249?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3048 divided by 41.\nAnswer: -3048\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262693 divided by -26.\nAnswer: 262693\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5547*o - 1759*o + 299252 = 0 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1818 + 234. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698391134?\nAnswer: 2, 7, 607, 82183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1028.\nAnswer: -1\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 8:01 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.37 - -0.41. Let z = 0.16 + 0.14. Sort h, 0.2, 4, z in ascending order.\nAnswer: h, 0.2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -264 and -0.02.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 70*g**2 + 8*g + 655. What is j(-70)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 plus 1073239?\nAnswer: 1072894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (27 - -1) + 2 + 0 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let q(o) = -11*o**2 + 33*o. Let l(a) = -a**3 + 9*a**2 - 14*a + 137. Let k be l(9). Suppose 13*j + 2 + k = 0. What is j*q(t) - 33*f(t)?\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 0*q + 1\/38*q**4 + 2\/95*q**5 - 2\/57*q**3 - 9 - 1\/57*q**6 + 0*q**2. Factor f(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.13 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37778.4 to the nearest one hundred.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**3\/4 - 67*p**2 - 1641*p\/4 + 189\/2 = 0.\nAnswer: -21, -9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54223533 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 776*k**2\/3 + 33024*k - 1382400.\nAnswer: 2*(k - 144)**2*(k - 100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjiqiqnqzi. Give prob of sequence nzq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 7*a - 136 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -132202*-1064\nAnswer: 140662928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3028*o - 1520*o - 1506*o - 155. Let i(f) = -f**2. Determine i(y(w)).\nAnswer: -4*w**2 + 620*w - 24025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, -1\/4, -68, -2\/25.\nAnswer: -68, -5, -4, -1, -1\/4, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20 = 3*o, -o = -4*i + i - 20. Let t be (4 - -14) + i\/2. Let j(b) = -b**2 - 4*b + 3. Let n be j(-3). Solve -t = -4*l + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 1, h: 2, g: 3}. What is prob of sequence gugu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3488 is divided by 412?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a**3 + 0)*(0*a + 3*a - a)*(36*a + 162*a + 29*a).\nAnswer: -908*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9040502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000062079722 to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 6*g = -63. Let h(j) = g*j - 16*j + 3 - 3. Let o(i) = -i**2. Calculate o(h(q)).\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/105)\/(16\/20). Which is the biggest value? (a) l (b) 1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/4)\/z)\/z*z)**2 assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1\/3 (c) 5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 - 3*c**3)*(-1 + 3 - 3).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1265c (base 13) to base 10.\nAnswer: 34046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-6 - -13)) + -1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.055 - -0.115. Let h = -0.06 + c. Let k = -9\/4 - -29\/12. What is the third biggest value in h, k, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/328 and -19\/12.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 5:40 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -bbe5 (base 16) to base 3\nAnswer: -2102222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(2\/39)*(h\/((h*h**0)\/h))**(-5\/9)*((((h*h\/h**1)\/h)\/h*h)\/h**1)**16 assuming h is positive.\nAnswer: h**(-1931\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 12 - 6) + (-6 - -2) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 27 + 21*f**2 - 20*f**2 + 62.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 5\/(-35)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 11. Determine z(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let g(j) be the third derivative of 3*j**4\/8 - 3*j**3\/2 + 104*j**2. Let b be g(w). Is -45 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14*j + 139. Let k be a(9). Suppose -k*o - 749 = -5000. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2970655.551 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54581506 or 54581505?\nAnswer: 54581506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**17*s)\/(s\/s**(5\/4)))\/((s\/(s**(2\/83)*s*s))\/(s*((s**(3\/14)\/s)\/s*s)\/s)))**21 assuming s is positive.\nAnswer: s**(-101175\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4806576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from uqmqiqqbaqbiqqubb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -4 - 3\/2*f**3 - 1\/120*f**6 - 62*f**2 + 0*f + 1\/6*f**5 + 1\/2*f**4. Give o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven halves of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 3}. What is prob of sequence cm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/((-15200)\/48))\/(2*12\/(-16))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/709734 and 73\/555.\nAnswer: 3548670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1808943 and 6572.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 496 = -114 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**0*v*v)**(-28)*(v\/((v**1*v*v*v)\/v*v))\/(v\/(v**(2\/9)\/v)*v*v)*(v**(3\/5)*v*v\/(v*v\/(v*v**2*v*v))*v)\/(v**(3\/5)\/v*v**(-4\/3)) assuming v is positive.\nAnswer: v**(-1246\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1504355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/9 and (-11864)\/624 + (-2)\/13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8472038 and -37\/686922?\nAnswer: 25416114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1505, 1503, 1499, 1493, 1485?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 1088?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 199 - 43. Suppose 0 = m - 322 - y. Round m to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 7:41 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 7*s**4 + (-2*s**2 + 3*s**2 + 1 - 5*s**2)*(-3*s**2 + 0*s**2 + 2*s**2).\nAnswer: 11*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 + -170. Solve -l = v + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**3\/3 - 5*s**2\/2 - 14. Let z be 1\/(-2) - (-22)\/(-4). Let a be 6\/(-9)*z*(-2)\/2. Give w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*i - 2*s, 4*i + s - 27 = -0*s. Solve -2*h = 1 + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 8. Let n be f(0). Let w(c) = 2*c + 7. Suppose 5*q = 3*s + 31, -10 - 3 = -q + 4*s. Let z(h) = -3*h - 11. Give n*w(v) + q*z(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3209465*s**3 + 1884843*s**2 wrt s.\nAnswer: -19256790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00192717 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/10 + 9 + 441\/(-45). Suppose -13*v = -d*v + 5*i - 15, 9 = -4*v + 3*i. Put -11, -6, v in decreasing order.\nAnswer: v, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:16 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109162 or -0.8?\nAnswer: 109162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4850401 (base 9) to base 7.\nAnswer: -31236250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 0 + 1\/4*j**3 - 1\/4*j**2 - 1\/4*j + 1\/4*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2 - 7*w + 125. What is the hundreds digit of p(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/70 in 11, -2\/7, 4\/13, -2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from auakkunuakkuukuadk?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 64*o**3 - o**2 - 2*o + 2. What is the remainder when f(1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, -3*t - 14 - 1 = -o. Let h = o + -11. Solve -5*d - 14 + h = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(98))*5)**2 + (-4*(0 + sqrt(98)))**2.\nAnswer: 350*sqrt(2) + 4043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 2*k + 2*k)*(-k + 72*k + 1577*k)*(2 - 1 + 0) as d*k**2 + n + x*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249743.\nAnswer: 13, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2277 divided by 5?\nAnswer: -2277\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5606.18 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33900 - 33194. What is the remainder when q is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -281*r**6\/30 + r**4\/6 + r**3\/3 + 39*r**2\/2 + 431*r - 1. Find the second derivative of u(o) wrt o.\nAnswer: -3372*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651394634 to the nearest integer?\nAnswer: 25522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17493763.\nAnswer: 7, 53, 61, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -91 + 103, 5*r = -5*d + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -1)*-1*-416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163840 - 2.3\nAnswer: -163842.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 6*d - 43. Determine u(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -0.5, 308?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200170889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**4 + 0*p**4 - 2*p**4)*(0*p - p - p) + (p**4 - p**4 + 2*p**4)*(51*p + 58*p - 59*p + (1 - 2 + 0)*(-7*p + 9*p - 3*p))*(0 - 2 + 0).\nAnswer: -200*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1340262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25707, -51260, -76813?\nAnswer: -102366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 173300457 divided by -3\nAnswer: -57766819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 2*r**2 + 3. Let j(p) = -p**2 + 12*p - 14. Let z be j(11). Give i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvvmqvgmvvemvemq. Give prob of sequence gm.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 19*k**2 + 17*k - 16. Let m be r(-18). Suppose -u - 18 - 51 = 2*w, m*u + 114 = 2*w. Let x = u - -238. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*d**2 + 29502 + 15*d - 29502)*(1 + 0*d + d + 1) to the form x*d**3 + j*d + f*d**2 + u and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 9. Let p = k + -9.15. Let v = p + -0.15. What is the third smallest value in -2, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/16296 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most 64.91614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*f = 198*f + 3*i - 18, -3*i = -f - 18. Let b = 106\/65 + -16\/13. Factor f - 4\/5*r + 6\/5*r**2 - b*r**3.\nAnswer: -2*r*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367340000 rounded to the nearest one million?\nAnswer: 367000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3375 + -3371. What is the closest to 6 in -2, o, -3\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 2\/7, -10 in descending order.\nAnswer: 2\/7, -2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 670640670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -38*c + 57*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-5)\/(-10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 8*o + 0 + 0*o**3 - 2*o**2 - 7\/12*o**4. Differentiate t(c) with respect to c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/66*(-2)\/(-6)*(-531)\/1239.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*w**2 + 15*w**2 - 25*w**2 - 51*w**2 - 11 - 23*w**2 wrt w?\nAnswer: -308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y**3 + y**2 + 2*y + 1. What is m(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 32*u**2 - 198*u - 25. Calculate the smallest common multiple of 77 and y(9).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/80 + 49*u**4\/32 + 147*u**3\/4 + 23*u**2 + 89*u. Factor j(m).\nAnswer: 3*(m + 7)*(m + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 + 9. What is the nearest to 2\/7 in d, -0.4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 1, w: 1, e: 6, v: 6, j: 1}. Give prob of picking 2 m and 1 v.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*30\/(-5). Let s(l) = q*l - 2*l**2 - 4*l - 1251*l**3 + 5*l**2 - 2. Let j be s(2). Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2909019325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43147 or -776653\/18?\nAnswer: -43147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -32\/7, -0.4, 3 in descending order.\nAnswer: 8, 3, -0.4, -32\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -34*s**3 + 66*s**2 + 15*s + 55. What is o(-3)?\nAnswer: 1522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -36 - 78. What are the prime factors of (r\/(-1))\/((-22)\/77)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/99)\/(54\/81 + 2\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4179 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11851 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 68*p**2 + 1078*p + 24209. Calculate c(-23).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61663 (base 7) in base 8?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 442570\nAnswer: -1\/221285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**3 - 2132*y**2 + 14152*y - 12012 = 0.\nAnswer: -273, 1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 267, 619, 1117, 1761?\n\"Answer: 73*s**2 - 13*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 10:49 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 64188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-50)*(3 + -5)\/12. What is the third smallest value in 4, 58, x?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18620 + 160739 + 74404 - p - 38904.\nAnswer: -p + 177619","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 1)*(-13 - 12 - 20)*(2*d + 0*d + 0*d)*(-5*d + 18 - 18) to the form q*d**2 + u*d + b and give q.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87736766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j + 6*j**3 - 18*j + 60*j.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -h. Let f(z) = -4*z**3 - z + 1. Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from osofvgssoiv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -4 - 2 - (-5 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 28 = -147. Let m = b - -27. Solve m*u + 1 = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*g**3 + 2*g**3 - 19*g**3 + 0*g**3 - 2*g**3 + g**3 - 11*g**3 + 3*g**3 - 7*g**3 + (0*g**2 - 2*g**2 + 4*g**2)*(g + 1 - 1).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -2 in decreasing order.\nAnswer: 0, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 3*o**2 - o + 2. Let n be i(2). Let s(p) = -2*p + 9. Let a be s(n). Sort a, 1, -3.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45001129?\nAnswer: 59, 149, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 2, w: 2, s: 2}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 67016628, 67016632, 67016636, 67016640?\n\"Answer: 4*o + 67016624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -0.011\nAnswer: 0.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - d - 5, 676*m - 678*m - 2*d + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - p - 8 - p - 9*p**3.\nAnswer: -9*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_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: Does 1194 divide 10486902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 41982*v**3 + 125958*v**2 + 125962*v + 41988.\nAnswer: -2*(v - 20994)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -451?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/3*(-12)\/(-10). Let w = 26 - 15. Suppose j = z + w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n. Let q(j) = -2*j. Let h(o) = -1 + 1 - 3*o. Let u(g) = 5*g + 20. Let z be u(-5). Let c(a) = z*q(a) + 3*h(a). Determine k(c(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(2\/69)\/t)*t)\/t)\/t**(-1\/30)*(t**(-3))**9 assuming t is positive.\nAnswer: t**(-5749\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 604 + 1332 = 632 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 2. Let c be x(0). Let y = 39 + c. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 570 = -19*u. Let k(x) = x**2 + x. What is the least common multiple of u and k(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 2. Let a(b) be the first derivative of b**2\/2 + b + 192. Determine -5*a(w) - j(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (293*l**2 + 10*l**2 + 98*l**2)*(-4*l**2 - 8 + 8) + l**4 - 2*l**4 + 2*l**4 as a*l + d*l**2 + z*l**3 + t + b*l**4 and give b.\nAnswer: -1603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 22*m - 24. Solve 0 = -5*s - 2*z + 26, -2*s + 1 = -m*z + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2264128 and 1632.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799341 is divided by 127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 126 - e?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 1036\/222 - -1595. Calculate the highest common factor of d and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1124733 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*c - 20 = 0, 5*m - 23*c + 20*c - 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54014, -54020, -54026, -54032, -54038?\n\"Answer: -6*z - 54008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 14*u + 168, -8005*m + 90 = -8000*m - 5*u for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(891)*-2 + 2 + 1)**2.\nAnswer: 504*sqrt(11) + 14305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -215.2 and 92267?\nAnswer: -19855858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3587 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 + 2 + 6*x - 3 - 3. Let s = -232 + 234. What is t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-2)*n\/((n\/n**21)\/n)*n*n**(2\/87)\/n*n**(-21)\/n assuming n is positive.\nAnswer: n**(263\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 173551\nAnswer: 52065.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 144 = -37*a. Sort a, 0.2, 0 in decreasing order.\nAnswer: a, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:34 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -4, 0.5, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:34 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 4. Let y be m(8). Suppose -102 = -s - y. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h - 3*h + (4*h - 3*h - 2*h)*(2 + 1 - 5) - 3*h + 4 - 4.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 34.91757614.\nAnswer: -34.91757614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 s when four letters picked without replacement from uspsvupsusj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*i - 51087 + 57717 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4*(-2)\/240). Let i = n - 0. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*c - 4*c**2 + 28*c - 15*c - 3*c**2 to the form k*c + g + l*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 8. Let c(q) = q**2 + 7*q + 6. Let w be c(-7). Let t be a(w). Calculate the greatest common factor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 95, 152, 177, 170, 131, 60, -43?\n\"Answer: -16*t**2 + 105*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 124*n**3 + 122*n**3 - 4*n**4 - 4 + 2*n**4 to t*n**2 + c*n**4 + b*n + w*n**3 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228397.115 - -228397.0668157316. Let m = 21.9518147116 - y. Let u = m - 22. What is u rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 8, v: 6, z: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 4\/45 (c) 0.0326 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (2 - 2\/(-2)). Solve f = -4*z - 6 - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.3. Let o = -0.6 - -4.6. Let g = 0 - 3. What is the third smallest value in g, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*i + 4 = -9, -4*o + i - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 7. Let h(n) = 2*n. What is -6*h(t) - 3*s(t)?\nAnswer: -3*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1138, 1240, 1342, 1444?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 68*i. Let u(c) = 49*c. Calculate r(u(h)).\nAnswer: 3332*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = l + 5. Let i(r) = 2*r - 26. Let u be i(l). Suppose -o - 5*m = -38, 0 = -o + 3*m - u*m - 2. What is the remainder when 35 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - 3*sqrt(84)*-1)\/sqrt(12).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Suppose 0 = -5*u - 25, 4*u = 3*x - 18 - 89. Let g be (5\/(-10))\/((-2)\/(-92)). Let p = x + g. Determine i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46830 and 40140.\nAnswer: 280980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1826 = 2*l - 1634, -6927 = -4*l + 3*f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/55345265 or 1?\nAnswer: 3\/55345265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1432414001 (base 5) to base 3\nAnswer: 21010210120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 9 + 29 + -40.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + 1 + -2 + (-238)\/98 + -2\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9604607, 19209223, 28813839, 38418455?\n\"Answer: 9604616*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let i(v) = -24*v**2 + 17*v - 17. Let h(f) = 3*f**2 - 2*f + 2. Let s(m) = 51*h(m) + 6*i(m). Give s(k(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11724388?\nAnswer: 2, 13, 23, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let q(s) = 1. Let a(d) = 4*q(d) + 4*u(d). Let r(b) = -7*b**2. What is a(r(n))?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1632296 != -1632280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by -1?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12 + x - 3 - 2*x - 1. Let b be h(14). Let m = 1 - b. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aggaaaaaaa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + 13\/4. Let b = q - 0. What is the second derivative of -2*u - 2*u**5 + b*u + 0*u wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b + 6. Let v(i) = 2*i - 5. Let m(p) = p. Let a(k) = -2*m(k) - v(k). Determine -6*a(z) + 5*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/90 and -37\/3345?\nAnswer: 20070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxn when three letters picked without replacement from {n: 9, x: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392704 is divided by 378.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2719 + 0.2281. Put -10\/53, 0.2, k in decreasing order.\nAnswer: k, 0.2, -10\/53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000942 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 5 - 75 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 938818417, 938818416, 938818415, 938818414, 938818413, 938818412?\n\"Answer: -h + 938818418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 68*h**3 + 168*h**3 - 98*h**3 + 51*h**2 to the form y*h**2 + s*h + u + r*h**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*s = 0, 3*s - s = -5*n. What is the biggest value in -30, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*n + 280 = -97*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27107*a**3*s**2 - a**3 + 1791*a*s**2 + 14*a*s wrt a?\nAnswer: -162642*a*s**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 472, 693, 910, 1123, 1332, 1537?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - (4 - 5) - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -19\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 2, t: 2, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/(-51)) + (-1 - -1). Suppose 7*x = i + 4. Suppose 95 = 2*w - w - x*l, 4*l - 396 = -4*w. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -10*r + 7*r. Let t = r + 30. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-21)*(-14)\/8*29\/((-63597)\/(-172))?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + (-119)\/(-28). Suppose s*z = -3*k - 0*z + 17, 3*k + z = 11. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (59\/22)\/(-1) and 12\/(-18)*45\/(-84).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 16*s = 2025. Calculate the highest common factor of s and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*d - 14 = 0, 2*x = -2*d - 1 - 3. What is the least common multiple of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -12. Let z be (-34)\/t + (-4)\/(-8). Suppose z + 18 = 3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464840063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y. Let s(x) = -3*x**2 + 153052*x. What is s(t(w))?\nAnswer: -675*w**2 + 2295780*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.63 - 2.33. Let c be (1356\/(-64))\/((-6)\/8). Let v = -27 + c. What is the closest to -3 in z, v, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285457\/61380 + 2\/3069. Calculate the common denominator of 23\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5620 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108557225233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*m = -30, 0 = -5*j - m - 166 + 196. Let y be 6\/(-27) + 994\/18. What is the highest common factor of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228947034.\nAnswer: 2, 3, 41, 83, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(363) + -1)**2 - ((sqrt(48)*2 - sqrt(48)) + sqrt(48))) - 6*(0 + sqrt(3) + 1 + 1).\nAnswer: -156*sqrt(3) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, -5*x - 3 - 3 = n. Suppose -73*f + 18 = -96*f + 156. Solve -21 = r + n*j, -2*r = -f*r + 5*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-554)\/(-3) - (-5)\/15. Suppose 2*c + i - 114 = 0, -c - v = -4*c + 2*i. Suppose 2*f = c + 25. Calculate the remainder when 167 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -214893527.\nAnswer: -644680581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l + 77*l - 2400 = 0. Suppose -6060 = 5*v - l. Let k = v + 1705. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.21744um in centimeters?\nAnswer: 0.008321744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2709, 6, -4?\nAnswer: -2709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/33 + 1\/11. Let t = 143813 + -144043. Put -3, y, t in decreasing order.\nAnswer: y, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122.666 - 63.58. Let r = 16 - -43. Let w = r - h. Round w to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/56)\/((-100)\/(-3200))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 0*v**2 - 10*v + 4*v**2 + v**3 - 14*v**2 - 8 + 0*v. Let f be x(11). Solve 4 = o + y, 2*y = -y - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*c**3*v + 2*c**2*v + 18*c**2 - 5*v wrt c?\nAnswer: 1704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11)\/44 + 105\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 12 + 0 = 0, n = -5*a - 11. Suppose -13 + 4 = -3*p. Suppose 3*y - 5*f + 2*f = -6, -y - 2*f = -13. Solve -n*o = y*w + p, o = -5*w + w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 17*q + 32. Let w(i) = 11*i**2 + 1. Calculate the smallest common multiple of w(1) and o(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.2, 8\/19 in decreasing order.\nAnswer: 8\/19, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8233, -18289, -28345, -38401?\nAnswer: -48457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515*n + 102084 - 6407 = -97648 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 9 = -3*w, 3*s - 3 = 48*w - 49*w. Let f(g) = -g**3 + 2*g**2 - 2*g + 3. Calculate f(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l + 1. Let o be x(-2). Let f = 0 + o. Let h = f - 3. Solve 4*u = -5*q + 7 + 6, 5*u - 4*q - 6 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35025093?\nAnswer: 3, 3891677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**16)\/h))**24 assuming h is positive.\nAnswer: h**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from qvqiqhvhqqqzizq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 177\nAnswer: -7\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1340475\/7 + -192539. Are -1042 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 304397*d + 304397*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/15 - -1\/5. Let o = 0.027 - 24.027. Let g = 26 + o. Which is the closest to g? (a) s (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2\/5 + 11074728*d - 55373637\/5 = 0. What is d?\nAnswer: 1, 18457879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610*l + 2041*l = -3781*l - 891840 for l.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677238 to the power of 1\/2, to the nearest integer?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*i, 6 = 3*p + 2*i - i. Suppose -3*q + 0*q - 24 = -3*c, 3*q = 2*c - 21. What is the remainder when c is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 16. Let j(m) = -15*m**2 - 54*m - 81. Let v(p) = 3*p**2 + 11*p + 16. Let s(k) = u*j(k) - 21*v(k). Let s(a) = 0. What is a?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3638)\/(-6) + 7\/(-21). Suppose -2*n = 3*z + n - v, -2*n + 4 = 0. Does 41 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 5\/42*n**7 + 0 + 0*n**3 + 122*n + 0*n**4 + 0*n**2 + 0*n**5 + 11\/6*n**6. Factor d(a).\nAnswer: 5*a**4*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2206475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -14 - (0 - 0) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 28*s**2 + 3*s - 38. Let l be g(14). Let c be 8843005 - (l - 5\/(-5)). What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g = 118*g - 27. Suppose t - 4*t - 40 = -5*c, 5 = 3*c + 2*t. Suppose v + 4*z - 42 = 0, g*v + 2*z - 156 = c*z. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 0*n + n + 2*n - 3*n + 2*n + 2 + n - 2 + (-3 + 1 + 0)*(5*n - 3*n - 4*n) + 2*n - 3*n + 7*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 16?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.923 + -17.323. What is the fourth biggest value in -0.1, 20, k, -1\/4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 252*j - 116*j - 3982 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9099 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = o + 5*l, -l + 0 = 3*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-360)*6\/24*-20\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4806 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + c - 720, 3*f + 378 = 4*f - 4*c. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.085 (b) -3 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*d - 1. Let c(b) = -b**3 - 10*b**2 + 11*b + 4. Let l be c(d). Solve -3*j + 0 = w - 1, 3*j + 5 = -l*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -2*m**3\/21 + 8*m**2\/7 + 66*m\/7 + 409. Solve d(h) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 5004 (c) -0.5 (d) 0 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*r + 57*r - 35. Suppose a = r*a. Suppose 3*o = -5*q + 20, 6*o - 5*o = a. Solve 0 = -4*y + 5*y - q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -39, -29, -15, 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:30 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 17. Let p be z(21). Suppose -p*s + 12 + 29 = -y, -4 = 4*y. Solve -s = -18*d + 16*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguwwugu. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/36 - q**3\/9 + q**2\/2 - 2776*q. Factor b(f).\nAnswer: -(f - 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244848?\nAnswer: 2, 3, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - (18 - (-37 + 16 + 59))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1767873 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 32 = -8*j. Suppose -j = 58*g - 65*g. Calculate the least common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m - 155. Determine p(-30).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233795 is divided by 19400?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -7.290016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 11 - 10) + (-6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539454 = 6*h + 295746. What is h rounded to the nearest 1000?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 4*w - 4. Let a be m(-4). Let p be 4 + a - (-4)\/1. Let u be (6\/p)\/(-3)*-10. Solve u*b + 3*s = 5, -b = b - s - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -941 - -2239. Suppose p = 15*v - 1147. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10053 by 2.\nAnswer: -10053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9929 in -2, 0.2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 253, 850, 1851, 3256, 5065, 7278?\n\"Answer: 202*n**2 - 9*n + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 52752.\nAnswer: 474768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j - 248644 = f, -331517 = -4*j + 3*f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37028 + 14*k**2 - 37028.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 24*r - 60. Let b be n(-28). Suppose -2220 = 32*x - b*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 + 35130*t + 598655 = 0. What is t?\nAnswer: -17, 7043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3631 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -388\/17 (b) 1\/12 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956839?\nAnswer: 13, 89, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1 - -3 - 4) + 4. Find the second derivative of -18*i - 20*i**3 - 10*i**3 + 6*i**3 - 5*i**g wrt i.\nAnswer: -174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*h = -7, -3*o = h - 5 + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3*w + w**2 - 11*w)*(77 - 60 + 47) as n*w**2 + b*w + c and give b.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33767718 divided by 3\nAnswer: 11255906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 56*p - 60*p + 10 = 0, 2*p = 3*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 220 = 0. Suppose -5*a = -0*a + l. Let t = 103 - a. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 282 = 2*i, 2*i - 16*y - 284 = -14*y. What is the lowest common multiple of 1428 and i?\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 0.3 (c) 0.5 (d) -954 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 12*j + 988. Let h be q(38). Solve h = -67*i + 32*i + 140 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 2694.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y + 6. Let m be s(6). Let o(c) = c + 12. Let l be o(-5). Suppose b = l - 2. Solve m = -b*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/51574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452708 - 1?\nAnswer: -452710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31283, -62578, -93873, -125168?\n\"Answer: -31295*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87 and 1.575.\nAnswer: -85.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*w + 16. Is 0\/(-3 + 2) - (w + -454) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/59? (a) 2\/3 (b) -1\/6 (c) 4 (d) 1\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 + -4 - -6 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63423 + 21?\nAnswer: 63444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12192394*m**2 - 89*m + 154553 wrt m?\nAnswer: 24384788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56158, -112314, -168470, -224626, -280782, -336938?\nAnswer: -393094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 10) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(189))\/sqrt(3))\/(sqrt(900) - sqrt(900)*-1).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2846 or 2847?\nAnswer: 2846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24004 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/(-4))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.05? (a) 0 (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.093 + -11.307. Let l = 2.6 - w. What is the third smallest value in 0.5, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1696748 and 26\/424187.\nAnswer: 1696748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2 - 35575*z - 58656620 = 0. Calculate z.\nAnswer: -4519, -2596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-15)*-8 - 12366683\/(-3443160)\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -3. Suppose o = y*o - 20. Suppose -o*c = c - 955. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14364 is divided by 852.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135231021?\nAnswer: 3, 31, 101, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -590?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/48 and -151\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + sqrt(7)*1 + 2)**2.\nAnswer: 14*sqrt(7) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 61, 80, 97, 112, 125, 136?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*l + 6*f**2 + 3*f*l - 4*f + 5*l + 225 with respect to f.\nAnswer: 12*f*l + 12*f + 3*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 4. Suppose 4*y + 10 = -2. Let s(r) = 2*r. Calculate the smallest common multiple of s(2) and u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/11, -13, -2\/5, -4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/4 + 5*h**3\/3 + 2*h**2 + h - 17. What is d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578974?\nAnswer: 2, 11, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2 - l + 3. Calculate d(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -14\/3 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1449 divide 396128281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i = 48*i + 200. Let x(z) = 7*z + 56. Let l be x(i). Put -2, l, 0 in increasing order.\nAnswer: l, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 69. Let u be (-3)\/(3*a\/(-345)). Let i = 119 - u. Calculate the lowest common multiple of 6 and i.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63705577951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c - 3. Suppose 4*j - 319 = -2*a - a, 0 = -2*a - 6. Suppose -c*d + j = 2. Solve 3*w = 7*w + d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**4\/12 + 3*s**2. Let g(l) = 0*l**2 + 2*l**2 + l**2. Determine c(g(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 12*i**2 + 11*i - 24. Let t be m(-13). Solve 0*j - 6 = t*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 8, u: 8}. What is prob of sequence nbbn?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {x: 3, u: 1, n: 10, r: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/10*(-260)\/(-78)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(-1 - -2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-3)\/18). Let t be ((-8)\/6 + 0)*d. Solve -4 = t*j - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from brmgwrk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/11 + 50*u**3\/11 - 366*u**2\/11 + 50*u + 88 = 0 for u.\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**7\/77 + z**6\/55 + 3*z**5\/55 - z**4\/11 - z**3\/11 + 3*z**2\/11 + 14*z. Find t such that j(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Let l be (j\/2 + 0)*0. Suppose 0 = 5*r - l*r - 70. Calculate the least common multiple of r and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + d - 15876 - 3*d.\nAnswer: -2*d - 15876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1062*r**4 + 2*r**3 + 728*r + 34587084.\nAnswer: 4248*r**3 + 6*r**2 + 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 16.38387 millimeters?\nAnswer: 0.00001638387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2094526 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 154\/36 + 6\/27. Sort -4, -0.5, o, -2 in descending order.\nAnswer: o, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 474 + 2310 = 0. Let l = -287 + k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:05 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112729\/10 + -11282. Calculate the common denominator of 95\/16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 2*y + 46 + y)*(y + 3*y - 2*y) in the form m*y + z*y**2 + o and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 771903?\nAnswer: 26244702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -56547432674919.\nAnswer: -56547432674918.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:50 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 3*o + o)*(2*o**2 - 5 + 5 - 10*o**2) in the form g + q*o + h*o**2 + c*o**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxboojbobbbhheh. Give prob of sequence bohb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31 + (-1)\/((-3)\/(-27)). Suppose 72 = j*a - 16. Let y be 20 + 3*(-2)\/3. Solve -l + 18 = 4*m, a*l + y = 3*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 92\/6*45\/30. Let l(u) = u**3 - 4*u**2 - 5*u + 3. Let q be l(5). Suppose 2*m - q - t = 0. Solve p + 7 + m = -3*x, -3*x = -5*p - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**2\/9 - 165718*a\/9 + 1201876\/9.\nAnswer: -2*(a + 20722)*(4*a - 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0 + (8 - -3)). Let u(q) = -6*q - i*q + 2*q**2 + 5 + 9*q. What is u(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:32 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544 - 576 - (6 - (0 + 0)) - -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1388 + 19005. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + -211?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - ((8 - 16) + 5)) + -1. Find p such that 8\/7 - 8\/7*p**2 + 4\/7*p**j - 4\/7*p = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -21*u**4\/4 - 7*u**3\/3 + 5. Find the third derivative of k(w) wrt w.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(75) - (sqrt(75) - (-1 + sqrt(75)) - sqrt(3))) + -2*(sqrt(768) - sqrt(768)*-3 - sqrt(768)))**2.\nAnswer: -720*sqrt(3) + 24316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -93, -4, 5 in decreasing order.\nAnswer: 6, 5, -3, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 + 20 - 15 - 13 - 9*h. Let r be v(-5). Let w = r + -29. Solve 0*t = 4*t - w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -26*o + 679. Let u be h(23). Suppose 0 = -2*g + 2, 3*g + 11 = y + 5*g. Calculate the greatest common factor of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = 4*c. Suppose -x + 3*a + c = 0, 2*x + 4*a - 39 = 13. What is the smallest common multiple of 52 and x?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.2, 2, -3, 3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*s - 25, y - 4*y = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1137.4 * -1151.8.\nAnswer: -1310057.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*6*1\/3. Are f and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331225717 + -63391.4.\nAnswer: -331289108.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 6}. What is prob of picking 3 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 11*y + 15 = -g - y, -5*y = -3*g - 77 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjoqsjsddxjojjxo. What is prob of picking 1 s and 2 o?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**4 + 1\/30*u**5 + 0*u + 0 + 14*u**2 + 0*u**3. Let w(x) be the third derivative of -x**5\/60 + x**2. What is w(q(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624 is divided by 78?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7053 + -7109.42. Let k = 0.58 - a. Let c = k + -61. Put -15, 0.1, c in ascending order.\nAnswer: -15, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 13, 26, 57, 112, 197, 318?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 4*z + z)*(-33661574 - 23*z + 33661558 - 111*z) to g + v*z**2 + l*z and give v.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjxpffxfjpxxf. Give prob of sequence jx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242 times -2526651?\nAnswer: -611449.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 36*p + 279. Let w be o(25). Solve b = -2*r + 1, w*b + 23 = 2*r + 47 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*h)*((0 + 0 + 3)*(122*h + 104*h + 115*h) + 5*h - 2*h - 4*h)*(-h - 2 + 2) in the form l*h**2 + u*h**3 + f*h + v and give u.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)\/(4\/10). Let x(w) = -w**3 - 6*w**2 - 10*w - 4. Let s be x(-8). Suppose -9*f = -u*f - s. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 19209 - 6598 = 4*d, 4*d + 8589 = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhw when three letters picked without replacement from {f: 1, h: 4, z: 1, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o - 18. Let a be (0*(-2)\/4)\/((13 - 17)\/4). Give r(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.809 and -2380251.\nAnswer: -2380251.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*q + 2*j - 5*j, 5*j + 12 = -4*q. Let s(o) be the second derivative of 0 - 1\/5*o**3 - 4*o - 1\/10*o**5 - 3\/10*o**4 + 1\/5*o**q. Factor s(p).\nAnswer: -2*(p + 1)**2*(5*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128063808679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjos when four letters picked without replacement from qqoyoqwjqqjoqjwqsqyo.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 0*z + z - 4*z + 2*z - 2*z - 1 + 1 + 0*z - 3*z + 4*z + (-2 + 1 + 3)*(-z - 3*z + 3*z) + z - 2*z + 0*z)*(3 - 2 + 0).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0364 + 0.2916. Let p = f - -0.138. What is p rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 20 = 6*i. Suppose 0 = -i*d + 4 + 8. Suppose -31 = -5*r + x + x, -6 = -d*r - 3*x. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -34?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 59. Let c(j) = 2*j**2 + 26*j + 39. Let v be c(-12). Let k be w(v). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -335d3?\nAnswer: -335d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**7\/1260 + g**6\/90 - g**5\/15 + g**4\/8 + 3*g**2. Let h(x) be the second derivative of s(x). Factor h(f).\nAnswer: -2*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, -5, 4, 1 in ascending order.\nAnswer: -5, -2, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = -4. Suppose 13 = j + 8. Suppose -z + 16 + 13 = 5*q, j*z = -3*q + 13. Put r, 3, q in increasing order.\nAnswer: r, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.326 and 1153.4.\nAnswer: -2682.8084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2429\/7260 - 3\/2420. What is the nearest to -0.3 in u, -1\/2, -17, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -498, -5 in increasing order.\nAnswer: -498, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/6 - 21*h + 9. Let s(k) be the first derivative of v(k). Let c(f) = 57*f**2. What is c(s(n))?\nAnswer: 228*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15300 = -195*d - 10469 + 8609 for d.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**3 + 30*z**2 - 156*z + 7. What is o(5)?\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84*q**3 + 1600*q**2 - 7468*q + 352.\nAnswer: -4*(q - 11)*(q - 8)*(21*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7990, -15977, -23966, -31957?\nAnswer: -39950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 77600000 = 2*u, 3*i - 4*i - 38800000 = u. Round u to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000 + 1100001110110100?\nAnswer: 1100010001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-6)*2*3. Calculate the greatest common factor of 28 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (5*-2*sqrt(171))\/sqrt(9))*-2)**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -6. What is the greatest common factor of m and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -3\/4, 13, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*b**3*f**3 - 2*b**3*f**2 + 7922*b**3*f + 13156683*b**2*f**3 wrt b.\nAnswer: 624*f**3 - 12*f**2 + 47532*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:59 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/2 + 2*l**3\/3 - 7*l**2\/2 - 5*l + 2208. Give q(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9*k - 65 = 0. What is the second derivative of y + 12 - k*y**2 + 16 + 149*y**4 - 54*y**4 + 4*y**2 wrt y?\nAnswer: 1140*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**8)\/((r\/(r**0\/r)*r)\/(r\/((r\/r**(-1\/6))\/r))) assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27) - 222\/(-216)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5*j*j**(3\/2)*j*(j**2\/j*j)\/(j\/(j**1\/j)))\/(j\/(j\/j**(-2\/17)*j)*j*j**(1\/2)*j**(-1\/3)\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(3527\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 13, a: 3}. What is prob of picking 1 a and 1 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w - 13. Let c be b(7). Suppose 12*o - c - 139 = 0. Differentiate -37*x**4 + 16*x**4 + 6*x**4 + o wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3457, -3491, -3547, -3625?\n\"Answer: -11*x**2 - x - 3445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3600 and 175392?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 23. Let n(z) = -4*z - 2. Let b be n(r). Solve s + 10 = 3*j, -4*s - 2*j + 32 = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/672 and -157\/156.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 211. Suppose -9*u + o - 15 = 0. Which is the smallest value? (a) 0 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2*f - 5)*(2495 - 1322 + 4926 + 4702 - 265 + 2474) as q*f + b and give q.\nAnswer: 26020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 1, g: 2, f: 1, r: 1}. Give prob of picking 1 f and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 3\/7, -23.\nAnswer: -23, -4, -0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(0*r**2 - 4*r**4 + 0*r**2) + (-7*r**2 + 2*r**2 + 2*r**2)*(-r**2 - 4*r + 4*r).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (21\/819)\/(18\/(77112\/34))\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.49 + 101.49. Let f = -100.6 + o. Let m = 17.5 - 17. Put f, -0.02, m in ascending order.\nAnswer: -0.02, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.1. Let i = -0.367148 - 0.032852. What is the smallest value in 1\/2, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13959.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -73 - -77 - 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640960 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 4*h - 187. Give s(-15).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 8 - 10*u - 12. Let f be l(-2). Solve 0 = j + 3*j - z + 1, -3*z - f = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568 + 9*p**2 + 1568.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487 + 129 = 34*h + 106 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1890 divide 3953301660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4247888411 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3002*a**3*l**5 + a**3*l - 20*a**3 + a**2*l**2 - 210*a**2*l + 8*l**5 wrt l.\nAnswer: -180120*a**3*l**2 + 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10)*(15\/(-9) + 1). Let n be 2\/(-4) - 28\/(-8). Let d(m) = m + 5. Let b(g) = -1. What is n*b(j) + s*d(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c + 186*c + 8640 = 5*c + 19*c for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/65 and -28\/145.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2 - 264*t + 260 = 0?\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6357693 - 335.\nAnswer: -6358028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 0.0925\nAnswer: -0.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 8*u + 2*n, 24770*u = 24771*u + n - 77 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1472 in 1, -4, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -16 - 1. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let n(b) = -3442321*b**2. Give n(h(f)).\nAnswer: -13769284*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43009 is divided by 5375.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7\/6 (b) 8 (c) -2\/7 (d) 0.13 (e) -1 (f) 1\/3 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1602, -3222, -4842?\nAnswer: -6462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 436 = -11*t + 14*o, 3*o - 137 = -t. Solve -t + 78 = 11*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:47 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 2397815.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 0*a**2 + a**4 - a**2 - 3*a to the form t*a**2 + n*a**4 + p + f*a**3 + y*a and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 94.8. Let f = -20.3 - r. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + 287\/14. Suppose 3*u - 66 = -33. Suppose u*h - 6*h = z. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*218.9.\nAnswer: 8.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, -2\/3, -524, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*a - 38452*a**2 - 5 + 38450*a**2 + 54*a as y*a**2 + x*a + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 18*w + 6*w**2 + 2\/3*w**3 - 75. Factor v(u).\nAnswer: 2*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/9 - 506483*t\/3 - 3038902\/9.\nAnswer: (t - 1519451)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10745 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*2*1 + sqrt(15))\/(2*sqrt(405) + sqrt(405)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.477 + 4.977. Put x, -0.4, -0.05, -0.27 in descending order.\nAnswer: x, -0.05, -0.27, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -2*k**3 + 5*k - 320. Let a(o) = 7*o + 3. Calculate a(u(t)).\nAnswer: -84*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - ((2*(sqrt(130)*-2 + sqrt(130) + sqrt(130)) - sqrt(130)) + sqrt(130)))\/(sqrt(10) + -4*sqrt(40)) + -4.\nAnswer: -4 - sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89833021.\nAnswer: 89833021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27256117*g*p**2 - 395*g*p - 522*g + p**3 - p - 120 wrt p.\nAnswer: -54512234*g + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*u - 6, 2*f = 3*u + 1084 - 1080 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-8)\/(-6) - 27\/135. Which is the third smallest value? (a) -2 (b) -2\/5 (c) i (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 + 8*y**3 - 6 - 35*y**3 + 2*y**3.\nAnswer: -43*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268321\/33 - -8131. What is the closest to 1 in o, -0.3, 10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 1. Let x(u) = -2*u. Suppose 2*s - 1 = 5. Let p(r) = s*f(r) - 2*x(r). Suppose -24 = 3*l - 4*y, 1 = 5*l + 5*y + 6. Give p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/7)*y)\/y**(-5))\/(y**(4\/3)*y*y**1) assuming y is positive.\nAnswer: y**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*k**2 - 77*k**2 + 1 - 1 to b*k + j*k**2 + c and give j.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 17. Suppose 4 = 2*x + 22. Determine o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188129*u + 188294*u - 330 = 0. Find k such that -129\/2 + 66*k - 3\/2*k**u = 0.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 6*z**2 - z - 6. Let q be v(-6). Let k be 30*(-9)\/(-6) + q. What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**35)*v**(6\/11))\/(v**(4\/5)\/v*v**12) assuming v is positive.\nAnswer: v**(-2544\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -8.0203387?\nAnswer: -8.0203387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 9. Let x = 0 - -6. Suppose x + 19 = -5*h. What are the prime factors of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 175\/(-98)*4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18833671 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 500184686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5129*10.\nAnswer: 51290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2695 (base 10) to base 2\nAnswer: -101010000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*o + 5 - o + 3*o - o - 2*o - o + 2*o + (-3 - 1 + 2)*(1 - 1 - 2*o) - 2*o - o + 8*o + 6 - 6 - o in the form c + k*o and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t*v*w**3 - t*v*w + 2*t*v - 10*t + v*w**3 - 20*v*w**2 - 2*v*w wrt w?\nAnswer: 18*t*v*w + 6*v*w - 40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/3)*i**(-3)*i\/(i**6\/i)*i**(1\/6)\/i assuming i is positive.\nAnswer: i**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 629528 and 76?\nAnswer: 11961032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let s(t) = 2*t**2 + 153*t. What is w(s(y))?\nAnswer: 2*y**2 + 153*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76.93108 + 11.\nAnswer: 87.93108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 2, b: 2, x: 4}. Give prob of picking 1 b and 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2171*g**3 + 2184*g**2 - 156*g. Let i(f) = -2*f**2 - 4*f. Let x(d) = 78*i(d) - 2*k(d). What is the third derivative of x(a) wrt a?\nAnswer: 26052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131408.\nAnswer: 2, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -87. Put v, 4, -5 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 + 3)*-9)\/((-5)\/(-10)). What is the units digit of 15176\/36 + (-8)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w - 5*s + 3, 0 = s - 3. Suppose -w*d = -13 - 11. Let g(r) = -2*r + r - 5 + d. What is g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3.92. Let l = -2.92 - z. Let y = 2144\/9 + -238. Which is the third biggest value? (a) -0.4 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 48. Let g(j) = -25*j**3 + 4*j**2 - 3*j. Let c be g(1). Let o be d(c). Solve -k + 0*t - 2*t + 13 = o, 7 = 4*k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, p: 2, x: 2, l: 1, j: 2, i: 2}. Give prob of picking 1 i and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - 6\/9*-54. Solve 115 = -4*b + n*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -279735*t**2 + 200985?\nAnswer: -559470*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/59? (a) 30\/13 (b) 3\/2 (c) 0.4 (d) -1\/3 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -37. Let p = 23 + k. Let s be (-60)\/p*(-1 + 0). Put 1, s, -1 in ascending order.\nAnswer: s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 224, 443, 656, 863, 1064, 1259, 1448?\n\"Answer: -3*q**2 + 228*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 10*w + 20 = 0. Suppose 18 = -2*x + 3*i, -3*x - w = -2*x - 2*i. Is 13 a factor of 4\/((-8)\/x)*(-72)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8578149l to millilitres.\nAnswer: 857.8149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 - (-19720)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020002 (base 3) to base 7.\nAnswer: -2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 536371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1741 + 2536. Let c be (-1 + 4 + 6)*(-2)\/6. What is the tens digit of c\/(-2) + p\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/9 (c) 3\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - 24*y**2 + 14*y**2.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 641.2428 nanometers?\nAnswer: 0.6412428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -41*z + 1433. What is d(35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {s: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-24))\/a*a**(3\/10)*a*(a\/((a*a**19)\/a)*a)**28 assuming a is positive.\nAnswer: a**(-4507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 3*w - 44. Let t be m(-9). Factor -23*j + 5*j**2 - 7*j - t + 35.\nAnswer: 5*(j - 5)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxtx. Give prob of picking 1 t and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170199 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: What is the second derivative of 47086081*r**5 + 27327621*r?\nAnswer: 941721620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -445292, -445707, -446122, -446537, -446952?\n\"Answer: -415*s - 444877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141475069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 j when three letters picked without replacement from {j: 1, v: 2, x: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61973402.4 nanoseconds in weeks?\nAnswer: 0.00000010246925","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 9 + (1 - -5) - 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81448?\nAnswer: 2, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-23)\/(-3) - (-26)\/(-39) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**4 + 283014*y**2 + 17271163?\nAnswer: -8*y**3 + 566028*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/7*(-2)\/((2451\/(-76))\/43).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 32*f - 905. Let u be a(29). Solve x - u = -22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 81*q - 86*q + 3*n, -12 = -q + n. Suppose -q*h = -21*h + 60. Solve 0 = 2*z - 4*z + 5*s + 17, 3*z + 12 = -h*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (89\/(-178) + 3834\/(-76))) + (-1)\/(-19)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.006, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 100 + (-3747117)\/35772.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 1235, 3984, 9303, 18050?\nAnswer: 31083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-184576\nAnswer: -18457.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1585058 is divided by 198130?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/24 + 2*b**3 - 2248*b**2. Calculate p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 3*l + 5. Determine c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444573 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101 (base 2) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584*c**4\/11 + 1698*c**3 - 10536*c**2 + 96122*c\/11 + 1680\/11 = 0. What is c?\nAnswer: -5\/292, 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6596404, -13192810, -19789216, -26385622, -32982028?\nAnswer: -39578434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -763275 divided by -59?\nAnswer: 763275\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2918 - 17629\/6. What is the common denominator of g and -27\/3464?\nAnswer: 10392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0 + c + 2*c - 1 + 2*c. Is v(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 55*h - 2*h**2 + 38*h - 121*h + 30 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385351887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 61. Suppose -53 = -3*w - t*s + 19, w - 22 = -2*s. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (541\/372749)\/(2\/(-26))?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140277773*r**4 - 209357908*r.\nAnswer: -1683333276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2094 - -670. Let k = s + 1423.999177. Round k to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15452 + -15?\nAnswer: -15511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5832, -5, 30.\nAnswer: -5, 4, 30, 5832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 584004\/(-2 + 4) + (-6 - -4). What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0 + 5\/2*l**2 - 5\/12*l**4 + 5\/6*l**3 + 1\/20*l**5 - 6*l. Let v(u) = -u**3 + 4*u**2 - 4*u - 4. Determine -4*s(y) - 5*v(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -942 + 939. What is the second biggest value in 2\/5, -1, b, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 - 1*-1. Let a(i) = 2*i + 4. Let b be a(-2). Suppose b = 3*k - o*k - 3. Solve 6*z = -3*h + 5*z + 16, k = h - 4*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 14 - 11 - 2*n**3 + 3*n**2 + n + n - 16 as t*n + o + q*n**2 + k*n**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*p = 4*p. Suppose p = -4*n + 61 + 303. Is -1 + (-5)\/(-7) - (-13221)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 2*q**5\/15 - q**4\/24 - 5*q**3\/3 - 14*q**2. Let u be j(7). Suppose 0 = 4*k + k - u. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1998, -3994, -5990, -7986, -9982?\n\"Answer: -1996*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299.9 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5049.925 centuries to decades.\nAnswer: 50499.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 10*h**3 - 2*h**3 - h**3 + (-3*h**2 - 2*h**2 - h**2)*(7*h + 31 - 31).\nAnswer: -54*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**2 + 40. Let r(b) = 15*b**2 + 40. Let p(i) = 3*c(i) - 2*r(i). Differentiate p(s) wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 6)*(-1 + 2). Let n = 45 + l. What is the highest common divisor of 195 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - d**2 + 0*d**2 + (d + 0 + 0)*(174 - 32060*d - 399 + 225) to the form x + k*d + r*d**2 and give r.\nAnswer: -32062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 796.1 - 763. Let o = u - 33. Put -1, 0.3, o in ascending order.\nAnswer: -1, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74418 is divided by 3565.\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/44 and 51\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.98 (b) 0.7 (c) 0.5 (d) 0.1 (e) 2 (f) -12 (g) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 234?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*f**2 - 2*c**3*f*y**3 - 55*c**3*y**2 - c*f**3 + 461*c*f**2*y**3 + 2*c*f*y**2 + 2*y**3 - 4*y**2 wrt f.\nAnswer: 6*c**3 - 6*c*f + 922*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.95708 + 8.9. What is k rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 11 - 4 + 4*o.\nAnswer: 4*o + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -7*h + 3*q, 69*h - 4*q - 87 = 56*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066695 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (-2*(sqrt(612) - sqrt(612)*-2) - sqrt(612)) + 2)**2.\nAnswer: -420*sqrt(17) + 30013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -38 (b) 354 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3110001 (base 4) to base 7.\nAnswer: -54363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2506 divided by 7.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1589 + 869. Let v = -53 - -51. Let q be (4\/6)\/(v\/s). Calculate the greatest common factor of 96 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.4. Let t = -739 + 739.0122. Let l = 0.3878 + t. Which is the nearest to -3? (a) v (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1243690702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a centimeter?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*n + 3\/2*n**4 - 9\/2*n**2 + 3\/2*n**3 - 3 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1035*b**5\/2 + 3103*b**4 + 9291*b**3\/2 - 18*b**2.\nAnswer: b**2*(b + 3)**2*(1035*b - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2599740 divided by 10.\nAnswer: -259974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48.4 and 15.93.\nAnswer: -771.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.87 smaller than 3\/361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*m + 4*m. Suppose 12*r - 3*r = m. Suppose -2*i + 3*i = -5*g - r, i - 5*g - 20 = 0. Solve i*w + 10 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 0, -6 in decreasing order.\nAnswer: 5, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66714984479 - 147.\nAnswer: -66714984626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/3)\/a)**(-28))**7 assuming a is positive.\nAnswer: a**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1.9 (b) 4 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 1096.\nAnswer: 7\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -3, 59, -5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwns when four letters picked without replacement from {n: 2, s: 1, h: 10, c: 1, w: 3, m: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-4) + 4 + (-2907)\/399. Which is the nearest to -2\/11? (a) q (b) 4 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494611 times 0.6?\nAnswer: 896766.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 359 + -365 - (0 + -22).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - 312\/32. What is the second smallest value in -3\/4, k, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:21 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21852669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let v be d(7). Suppose 2*h = v*h. Suppose -26*y = -92 + 14. Solve h = 2*x - 7 - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-23 + -5)) + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 80. Suppose 6*p + 2*p = -r. Let x(i) = -i + 2. Let d be x(p). Solve 0 = k - 0*k + d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o + 13. Suppose -3*r - 15 = 0, 5*r = -u + o*u - 37. Suppose -3*m - b = -86 - 8, -2*b - 4 = 0. Calculate the smallest common multiple of u and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2\/11, 0.18022, 82, -1, 5?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6\/j*j)\/j)\/j**18*(j*j**(-1))**(-36\/7) assuming j is positive.\nAnswer: j**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -24 - ((4 + 0 - 7) + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3. Let t = -725 - -724.8. What is the nearest to w in t, -4, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-2)\/(-5) + -11*13\/(-55). Solve 18*j - 14*j + 25 = k*b, -b + 3*j = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2271 + 303 = -82*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i + 2*i**2 - 77*i - 4*i**2. Let j be v(-20). Suppose -t + 2*n - n + 7 = j, 3*n = 2*t - 19. Solve 0 = t*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 134*x + 7. Let c be k(5). Let f = c + -1381\/2. What is the common denominator of f and 55\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + r = -36, -k - r = -0*r + 12. Let g = 65 + -67. Let h be (-1 - g) + ((-4)\/(-6))\/(-1). What is the biggest value in 3, k, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370605219146 - 39?\nAnswer: -4370605219185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*-5*(2 + sqrt(288)) - 3*2*(-2 + sqrt(288)))*4 + 2)**2.\nAnswer: -804296 - 293760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*z - 34 + 29, -3*z - 7 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + 44. Let g(r) = -r**3 + 30*r**2 - 25*r - 100. Let f be g(29). Calculate the greatest common divisor of f and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) - (sqrt(228) + (sqrt(228) - 2*sqrt(228)))) - (1*(sqrt(228) + sqrt(228) + -1*sqrt(228) + sqrt(228)) - sqrt(228)))\/(-4*2*sqrt(1200)).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*t = -10*t + 51860, 2*c - 6*t = 25930. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2 + 3*m**2 - 6*m**2 - 7*m**6 wrt m?\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 6. Let x = -9 - -37. Let y be (-2)\/((32\/x)\/(-4)). Give d(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*p = -20, 5*g - p - 26 = 19. Let v = 3 - -2. Suppose 5*h = v + g. What is the closest to -1 in h, -2\/29, 2\/9?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(110) + 6*(sqrt(110) - sqrt(110)*2))\/(sqrt(90) - (1*sqrt(90) - sqrt(90))) + 1.\nAnswer: -5*sqrt(11)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 (base 6) in base 16?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (644\/18 + 30\/135)*(-9)\/(-4). Solve 9*t = -0 + x for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53967 - 37740 + 363 - 42108 + 18392 + 9888)*(-3*d**3 + d**3 + 3*d**3).\nAnswer: -105172*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250977 is divided by 941.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -2*k. Let z be ((-4)\/k)\/((-2)\/(-4)). Let l(q) be the third derivative of -q**4\/8 + q**3\/6 - 96*q**2. Give l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 6. Let a be q(-6). Let z = -8 + a. Calculate the lowest common multiple of 1 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 18*h**3 - 5*h + 2 - 17*h**3 + 33*h**3 - 9*h to the form w*h + r*h**3 + n*h**2 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (56\/21 + -3)*6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 5*o**2 - 5*o - 5. Let k be c(-5). Suppose 0 = 3*i - 8*i + k. Solve i = r + 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 9*v + 33 - 134.\nAnswer: -9*v - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*q - 213. Let b(v) = -6*v - 3. Let a be b(-7). Let h = q - a. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 11935*g + 23874.\nAnswer: -(g - 2)*(g + 11937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 a when three letters picked without replacement from {n: 5, a: 3, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13\/2, 2\/12921, -4, 2\/5, 2\/3?\nAnswer: 2\/12921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-2\/113)\/(p\/p**(5\/3))**(-23\/5) assuming p is positive.\nAnswer: p**(-5183\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -246145, -246135, -246111, -246067, -245997, -245895, -245755?\n\"Answer: p**3 + p**2 - 246147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1013516.5+1\nAnswer: 1013517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - (4 + -6 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l - 19. Determine h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4638 + -4635. Let n(u) be the first derivative of 1\/2*u**2 + 1\/6*u**x - 5 + 0*u. Factor n(y).\nAnswer: y*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 - 6*j - 6. Suppose -3*h - 2*h - 7 = -4*y, 0 = 2*h - y + 1. Calculate the remainder when c(-3) is divided by ((-2)\/h)\/(-4 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329 - 321. Find the third derivative of 0*p - 518*p**6 + w*p**5 + 3*p + 521*p**6 - 5*p + 4*p**2 wrt p.\nAnswer: 360*p**3 + 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 0.6, -4, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184660 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + -2 - (0 + 1). Suppose 0 = -o*a - 30. Let i be 6*-1*3\/a. Solve 0 = i*c - 6 - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -34*g**4 - 9*g**3 + 6*g**2 - 523. Let a(q) = 2*q**4 - 3*q**2. Let b(i) = 2*a(i) + d(i). Differentiate b(x) wrt x.\nAnswer: -120*x**3 - 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z - z**5 + 42*z**5 - 19*z**5 + 9*z**5 wrt z.\nAnswer: 620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = 31. What is the second derivative of 21*v - 6*v**4 + 6*v**4 - j*v - 5*v**5 wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbdhtdhyddtybt. Give prob of sequence ybhd.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.129*175.4.\nAnswer: -22.6266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1242256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -714705 divided by -899\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 - 3*i**2\/2 + 5*i + 5121. Let v = -10 - -3. What is h(v)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + u)*(-2 - 2 + 1) + 0*u + 4*u - 10*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i**3*o**2 + 62*i**3 + 166*i + 370694*o**2 + 30 with respect to o.\nAnswer: 12*i**3*o + 741388*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = j, -2*j + j - 3*b + 14 = 0. Let i(d) = 26*d + 16. Let w be i(-4). Let p = -5014\/57 - w. Do p and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 156911 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26966, 215648, 727788, 1725116, 3369362, 5822256?\nAnswer: 9245528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 - 11*l - 17. What is the tens digit of y(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3 (c) 2\/5 (d) -18 (e) 0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.82\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5134447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(320) - (0 + sqrt(320)))*-2 - (sqrt(320) + 1)*-4) + -3 + sqrt(45)*2 + 4))**2.\nAnswer: 13680*sqrt(5) + 260820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(9240\/(-9))*888\/(-1332).\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 8*l + 12. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 13. Let x be (i\/2)\/(9\/30). Solve 3*r = -x*p - 0*p + 13, -2*p = -3*r - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(-2\/15))*c*c**(1\/5))**(-4\/7) assuming c is positive.\nAnswer: c**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/(-182))\/(12\/(-14)))\/(39\/72)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1)*(0 - 0). Suppose -2*x = -5*j + 53, 3*x = -l*j - j + 14. Let p be -1 - -3 - (1 - 4). Solve -3*d + 2*d - j = 5*h, 4*h + 32 = p*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -135*h**2 - 99*h - 99. Let a(w) = -w**2 - w - 1. What is 198*a(b) - 2*n(b)?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:44 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/9)\/x)\/(x*(x\/x**9)\/x))\/((x*x**11)\/((x\/((x*x**(-3\/7)*x*x)\/x))\/x)))**(-1\/2) assuming x is positive.\nAnswer: x**(214\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19470\/(-103545))\/((-132)\/9).\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 67 - 165 - l**3 + 232.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4147 = -28*z + 1985. Is 41 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1549*b**4 + 43564 - 43564 + (-b**3 + 4*b**2 - 4*b**2)*(0*b + b + 0*b).\nAnswer: -1550*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.053 - 0.247. What is the second biggest value in -2\/7, d, -0.5, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33759 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -651 - -1174. Let i(m) = 0*m - 3 + 4*m**3 - a*m**2 + 525*m**2 + 2*m. Let w(g) = 19*g**3 + 11*g**2 + 11*g - 16. Determine 11*i(s) - 2*w(s).\nAnswer: 6*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28036 and 5116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w = -475. Let x = w - -105. Solve -20 = -u + 6*u, 3*q - 4*u - x = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 - 4*y - 4. Let s(g) be the first derivative of -5*g**3\/3 - 5*g**2\/2 - 5*g - 3. Let q = -16873 + 16869. Determine q*s(a) + 5*c(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x - 6*x. Let t(g) = -2*g**3 - 8*g**2 + 3*g - 11. Let h be t(x). Let m = 230 - h. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 72 = -g + 58, 5*g - 650 = 2*t. Calculate the remainder when g is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y - 92. Suppose 16*s + s - 2*s + 225 = 0. What is c(s)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (724\/(-3801))\/(1*(-2)\/14*3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00220214 take away 5?\nAnswer: -4.99779786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6126*d + 6345*d - 219 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-4) - -3) + -1. Suppose t = 3 - g. What is the lowest common multiple of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and (12\/(-24))\/((-20)\/(-218))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*q**3 + 251*q**3 + 1008*q**3 + q**3 + 0*q + 0*q + (-4 - 2 + 5)*(-2*q**3 - q**3 + 5*q**3).\nAnswer: 1186*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693183469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-275))\/(2*1\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*f**3 + 122*f**3 - 720*f**3 + 89*f**3 + 136*f**3 + 147*f**3.\nAnswer: -69*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*c**3 - 33\/2*c - 63\/4*c**2 + 0.\nAnswer: 3*c*(c - 22)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1243856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 + 263*m.\nAnswer: 263*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -1334, -3050, -5456, -8552, -12338, -16814?\nAnswer: -21980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 15) to base 12\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/5 + 32*y**3 + 766*y**2\/5 + 1208*y\/5 + 120 = 0 for y.\nAnswer: -75, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by -2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 9*v**2 + 5*v - 74. Let k(n) = -3*n**3 + 27*n**2 - 15*n + 209. Let u(w) = 11*d(w) + 4*k(w). Determine u(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 1, l: 2, g: 3, p: 2, e: 3}. What is prob of sequence ell?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/9 - 2092*b**3\/3 - 1392*b**2 + 50176*b\/9 = 0.\nAnswer: -3136, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 538, 0.1, -1\/3, -0.26, 1, -5 in descending order.\nAnswer: 538, 1, 0.1, -0.26, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*k - 524 = 442. Solve -k*a = -75*a - 414 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/3 + 47*u**3\/3 - 478*u**2\/3 + 1432*u\/3 - 448 = 0. What is u?\nAnswer: -56, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11 + 13 - 4*n**2 + 4*n + 5*n**2. Let y be d(-6). Calculate the greatest common divisor of y and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Solve k = g - 17 + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50\/3 + 16. Let q = z - -28\/33. What is the closest to -1 in q, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -1.1818029?\nAnswer: -8.2726203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*v - 6 = 0, v + 0 = -4*r + 8. Suppose -129 = -r*o + 5. Suppose 2*w = -3*c + 57, 5*c = -5*w + 3*w + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 112795800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 3*s + 4. Let j be f(3). Let r(u) = u**3 - 9*u**2 + 8*u + 7. Let v be r(8). Let o = v - j. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s - 3. Let j(q) = 2*q**3 + 2*q**2 - 2*q**2 + q**2. Let d = 2 - 1. Let i be j(d). Calculate h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + 5*u = -85, 3*u + 29 = 2*x. Solve 5*m = x - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 + -204?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195187 and 4715307?\nAnswer: 89590833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-551)*-38 + (-30)\/(-2)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:35 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*9\/(-45)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u + 25. Suppose 0 = 2*r - 5*m + 7, 0 = -u*r + 5*m - 3*m + 14. Suppose -2*g + r*g = 0. Solve 0 = 4*t - 8, -2*o + 2*t + 3 - 13 = g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5206803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 203489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5340107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) - (-161)\/49. Solve 0 = -3*l + v, 0 = y*v - 7*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 4) to base 9\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 255 = -2072. Is v greater than -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2*i**3\/3 - i. Let n(p) = -2*p. Determine n(l(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680661162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 331.26 + -330.76. Let m = -22 - -15. What is the nearest to m in -2, d, 0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6658 or -6657?\nAnswer: -6658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2277, 2251, 2225, 2199, 2173?\n\"Answer: -26*l + 2303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9307644 is divided by 2375.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 4*p - 21.\nAnswer: (p - 3)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 389233068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -30735?\nAnswer: -30753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 11:48 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3033\/6) + (-3)\/6. Let t be 0 - (817 + 2 + -5). Let h = s - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 554 + -549. Suppose -z = -3*b + 1. Solve -3*g + 1 = a, -27 = 3*a + b*a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 1, s: 5}. Give prob of picking 1 j, 2 s, and 1 m.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 5*v + q + 38, -3*v - 59 = q for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:23 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267 - -278.12. Let g = -11 + h. Let u = 0.22 - g. Sort -3\/5, -3, u in descending order.\nAnswer: u, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 25818*m + 55547427.\nAnswer: 3*(m + 4303)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8234 + 8157 + 2 + 141?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 - 8 = 4*s, -3*d + 4*s = -9. What is the tens digit of d - 3\/((-3)\/332)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/196*((-4)\/(-6))\/((-244)\/1464)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 10428*o**2 + 3*o + 10428.\nAnswer: -3*(o - 1)*(o + 1)*(o + 3476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37196 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1405*b**4 - 6*b**3 + 48*b**2 + 45*b + 26. Let u(w) = -w**4 + w**3 - 8*w**2 - 2. Let l(d) = 6*u(d) + x(d). Find the second derivative of l(s) wrt s.\nAnswer: -16932*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/993, 1, -5?\nAnswer: -2\/993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stuutsuttttptsvu. Give prob of sequence tvu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*s + 5*d, -2*s - 2239*d + 2235*d = 28. Factor s + 14\/9*n**2 + 10\/3*n + 2\/9*n**3.\nAnswer: 2*(n + 1)*(n + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*o - 278 = o, -5*g = 3*o - 452. Suppose g + 139 = 2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 114?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:34 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/(-2))\/(-7))\/((-30)\/(-40))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44348 divided by -1456?\nAnswer: 11087\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8468 (base 10) in base 6?\nAnswer: -103112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -10, 16, 62, 134?\n\"Answer: h**3 + h**2 + 2*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuumtgum. Give prob of picking 1 m and 1 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*v - 13574 = -1257*v + 10458 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z + 8. Give m(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 2*c + 2. Let s be a(3). Let h be 67\/s + (-12)\/(-78). Let x be (-1)\/(-2) - 44\/8. Is x not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76317, 149400, 222483?\n\"Answer: 73083*j + 3234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1095 - -1119. Which is greater: v or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 87*h\/2 - 113535\/4 = 0. What is h?\nAnswer: -435, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 24 = v, -1328*u - 1 = -1329*u + 6*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 20*t = 0. Suppose v + 12 = -5*s, -2*s = -t*v - 5*v + 21. Find the second derivative of -h**2 + 19*h - 2*h**v + h**2 - 7*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 221. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 136.000674. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 1. Let p(a) = 9*a - 46. Let z(n) = -p(n) + 6*r(n). Let l be z(16). Let b be 5\/(-10)*(-86)\/l. Which is smaller: 12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + i**2 - 4)*(i + 0*i - 3*i) - i**3 - 2*i**3 + i**3)*(1 + 0 + 0).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/4, -2\/21, 131, -4 in decreasing order.\nAnswer: 131, -2\/21, -3\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*r + 16, -d - r = -0*r - 4. Let p = -3.4 + 4. Let j = p - 0.4. What is the closest to d in -2\/7, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtaqiaiiahtqqtiiqaai. Give prob of picking 1 i, 1 h, and 1 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759\/46*(-33)\/((-171699)\/(-22)).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gbbgbbbbbgg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 10*v**2 - 6*v - 66. Determine g(10).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 1 - 1 - 5*o - 5*o - o + (2*o + 2 - 2)*(-2 - 1 + 4).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -5*m**6\/6 + 142*m**5 - 4145*m**4\/4 + 8900*m**3\/3 - 4090*m**2 + 2720*m - 7913. Solve x(y) = 0 for y.\nAnswer: 1, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**3 - r**2 - r + 1. Let c be x(1). Solve -3*b = -j + c, 3 = 3*j - 0*j - 3*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) -3 (c) -0.1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2067*i**2 - 2067*i**2 - 178*i**3.\nAnswer: -178*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (-3 - 1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 5*c**2 + 5*c - 6. Let k be s(-6). Suppose 3 + k = d. Solve -5*j + 2*x + 0 + 9 = 0, -3*j + 2*x = -d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 4) + 28\/6. Factor -2\/3*x**2 - k*x + 4\/3.\nAnswer: -2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -2\/11, -0.14, -0.4 in ascending order.\nAnswer: -0.4, -2\/7, -2\/11, -0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 263*q - 6. Let t(v) = 14*v**3 - 790*v + 17. Calculate 17*s(a) + 6*t(a).\nAnswer: -a**3 - 269*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-56)\/(-24)*12402\/1113.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 1:53 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 60 = -5*y. Let f(m) = m**3 + 5*m**2 + 7*m + 5. Let h be f(y). Solve -12 = h*g, 4*g - 8*g = -2*t + 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -114. Suppose 0 = 4*q - 4*f + 8, 5*q - 1 = 4*f - i. Let l be 3704 + (-2 - 0)*q. What is l rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 + 2*s + 26. Let l be b(6). Let v(r) = 2*r**3 - 16 - 2*r - r**3 - 21 + 36 + 4*r**l. Give v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-80)*-2)\/(52\/208)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -298, -426, -552, -676, -798, -918?\nAnswer: -1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442860809?\nAnswer: 442860809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 77020110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2958457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10187 by -2.\nAnswer: 10187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 3*h**5 + 0*h**5 + (0*h**3 - 3*h**3 + 4*h**3)*(-3*h**2 + 3*h**2 + h**2) + 1 + 3*h**5 - 1.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, y: 1, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o + 6. Give u(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -301 + 21. Let f be (-16)\/(-70) - 14\/s. Sort 2\/7, f, -3\/4 in increasing order.\nAnswer: -3\/4, 2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158.5 - -393.9. Let a = w + -235.39998711. What is a rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 109*t + 33*t - 138*t.\nAnswer: 7*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-8) - 164\/(-32). Suppose 7*q - r*q - 8 = 0. Suppose -q*n + 8*n = 0. Solve n = g - 2*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471611347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 286*l - 287*l + 13*l**3 + 2474*l**2.\nAnswer: 15*l**3 + 2474*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -103 + 999*s - 483*s - s**2 - 495*s. Determine r(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-392)\/(-441) + ((-14)\/35)\/(3\/5). Solve u*a**2 + 4\/9 - 7\/9*a + 1\/9*a**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = a + 19, -a - 49 = 5*n + 2*a. Let i(g) = -13*g - 2. Let h(d) = 19*d + 3. Let v(l) = n*i(l) - 5*h(l). Give v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 + 0*y + 1\/24*y**4 + 1\/40*y**6 - 3*y**2 + 1\/210*y**7 + 0*y**3 + 1\/20*y**5. Factor g(r).\nAnswer: r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 7:45 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**3 + 2*z**3)*(0 - 2 - 2)*(-3*z - 2*z + 3*z)*(-43 + 43 - 7*z).\nAnswer: -56*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*j + 4 = 0. Let a be (-6 + 4)\/(j\/(-30)). Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13621 by -16.\nAnswer: 13621\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from ttjvqkh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/5 - 537286*f**2\/5 + 1074566*f\/5 - 537282\/5 = 0. What is f?\nAnswer: 1, 268641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252 divided by 172?\nAnswer: -313\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:13 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*t + t - 6 - 2*t + 1 - 1 + (2 - 2 - 1)*(-3*t + 0*t + 5*t) - 3*t + t - 2*t)*(2 - 16 - 4).\nAnswer: 126*t + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2 - 2)*(-97*a**4 + 1919*a - 1919*a)*(5 - 1 + 2).\nAnswer: 1746*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:13 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -4, -28, 1\/4 in descending order.\nAnswer: 1\/4, -2\/15, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7 + 5. What is the greatest common factor of 44 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**3 + 67*s**2 + 22*s**3 - 65*s**2 - 12*s**3 + 11*s + 2 to o*s**2 + t*s + n*s**3 + x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11228 + 5693. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -4 - (0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.05 in 97, 0.3, 0, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**2 + 2*g. Let y(z) = -266*z**2 + 77*z. Give -77*h(o) + 2*y(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and 41\/7381221.\nAnswer: 29524884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 742 = -2*y, -1486 = -10*y + 6*y + 3*m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.6. Let v = 0.42 - w. Let l be 10\/16*155\/(45725\/(-708)). Which is the fourth biggest value? (a) l (b) v (c) 5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*z + 7 = 0, -4*v - 5 = 2*z + z. Is (-816)\/(-36) - v\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2, -5*t - 2*m + 2425 + 149792 = 0. List the prime factors of t.\nAnswer: 7, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 46 (b) -0.2 (c) -1 (d) 0.3 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-182)\/13)\/(((-12)\/(-28))\/(12\/14))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*w - 36 = 1500*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 400620673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:16 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - e?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**2 - 2*p - 1. Let s be u(1). Suppose -4*h + 4030 + 141 = -3*r, s*h = r + 5200. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/2 - (-10 + 25). Sort -1, z, 1467 in decreasing order.\nAnswer: 1467, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (29\/10 - 3)\/(13908\/(-285) + 49)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 4) in base 15?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 1\/9 (c) 6 (d) -0.03 (e) -3 (f) 3\/7 (g) -3\/53\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taxaa. What is prob of picking 1 x and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3 + 5232*k**2 - 345748*k - 350976 = 0 for k.\nAnswer: -1371, -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:08 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -99*m + 2053. Give r(14).\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let y(t) = 2*t - 17 - 2 + z + 0. Let k be y(9). Solve -3*m = -8 + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163413*g**3*o**2*p**2 + g**3*o**2 - 2*g**3 - g**2*o**2 - 4*g**2*p**2 - 4*g*o*p + 2*g*o - 683*o**2 wrt p?\nAnswer: -326826*g**3*o**2 - 8*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14107 - 14107.000016365. What is a rounded to 7 decimal places?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {c: 4, h: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1525616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31496 and 124093?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 + 11*x - 17. Is i(8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*w = 428*w + 3. Let n(c) = -99*c**2 - 3*c. Let p(r) = 1088*r**2 + 32*r. Let u(h) = w*p(h) + 32*n(h). Let v(f) = f**2. What is v(u(l))?\nAnswer: 9216*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 - -117. Let u(d) = -4*d**2 + 2*d. Let f(o) be the third derivative of o**5\/60 - o**3\/6 + 2*o**2. Give r*f(a) - u(a).\nAnswer: 2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 902303 and 0.0878?\nAnswer: 79222.2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1131 = 4*g + 396, g + 372 = 4*d. Let q = g - -439. Calculate the remainder when 216 is divided by q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6321 is divided by 2105.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1)**2*-6*-6.\nAnswer: -72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/7 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 4. Let h be u(5). Find the third derivative of 4*r**2 - r - 30*r**4 - 3*r**2 - h*r + r**4 wrt r.\nAnswer: -696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -54*a. Let x(c) = 4837*c - 2419*c - 2419*c. What is t(x(i))?\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/20 - m**4\/4 - m**3 - m**2 - 8*m. Does 5 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + (-7 - (-7 - (0 + -7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76014477 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -133, -263, -393, -523?\n\"Answer: -130*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/6 + 2*t**2. Let d = -6 - -9. Calculate the smallest common multiple of w(d) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, z: 3, x: 1}. Give prob of sequence xy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 <= 4767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - s**3 + 0*s**3 + (s**2 + s**2 - 4*s**2)*(0*s + s + s) - 4*s**3 + 3*s**3 + 3*s**3)*(-3*s + 1 - 1).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -24 + 9, p - 512 = o. Let i(l) = 2*l**2 + 10*l - 1. Let u be i(-8). What is the greatest common divisor of p and u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + ((-817)\/387 - (-4)\/36)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10794 + -107841\/10. Let q be 1227\/(-27) + 4\/(-6). Let a = q - -1255\/36. Calculate the common denominator of a and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 191, 166, 123, 56, -41, -174?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21155748?\nAnswer: 2, 3, 59, 29881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w + 18*w**3 - 9\/2*w**2 + 0 - 21\/2*w**4.\nAnswer: -3*w*(w - 1)**2*(7*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -230, -382, -602, -902?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-25))\/(10\/(-25))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61952, -248036, -558176, -992372?\n\"Answer: -62028*x**2 + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-449526)\/(-88) - 4\/16?\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/94199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 36?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 265*w - 3495. What are the prime factors of c(36)?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 60, 126, 194, 264?\n\"Answer: m**2 + 63*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-2)\/(-3))*-69. Suppose a - y = 27. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149.94437 < 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*q**3 - n**3*q - 2*n**2*q**3 - 63592*q**3 - 689799*q**2 wrt q?\nAnswer: 12*n**3 - 12*n**2 - 381552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 + 63*t**2 - 122*t + 665. Determine m(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 30. Let w(d) = -d**3 + 22*d**2 - d + 22. Let z be w(22). Suppose z = 11*n + 143 - 0. What is the tens digit of p(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 39, 69, 121, 201, 315, 469?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209 + 369. Suppose 9*b + 31*b - f = 0. Let n(t) = -2*t + 4. What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*k + 11, -5*o - 16 - 2 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16650000 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbll when four letters picked without replacement from inblbnxynyynnbxbxnl.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (1 - -1) - 3. Let d(w) = -w + 6. List the prime factors of d(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2. Let c = 3 - b. Differentiate 2 + p - p + p**c with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 1 + (-20 - -21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/(-22) - (-14)\/(-77). Let f be 231715\/175 + g\/(-14). Let v = f + -171959\/130. What is the common denominator of v and -43\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = 4*d + 49, -z - 3*d - 62 = 0. Which is greater: z or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, 1\/5, -106.4 in descending order.\nAnswer: 1\/5, -2.1, -106.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 - 4*y**4 + 5*y**4 + (-2*y**2 + 6*y**2 - 2*y**2)*((-3*y + 0*y + 0*y)*(-4*y + 2*y + 0*y) + (-4 + 1 + 2)*(y**2 - y**2 - y**2)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 88, 84, 80?\n\"Answer: -4*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 6. Let d be l(3). Solve -3*u - d = -0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/7)*n\/n**(2\/13))\/(n\/(n\/(n*n*n\/(n\/n**(-3\/4))*n))*n**(2\/5)))\/((n**1*n)**(-1\/12)*n**0*(n*n*n*n**(-1\/7))\/n) assuming n is positive.\nAnswer: n**(-21419\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 38. What is the remainder when v is divided by 36\/6*(2 + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-88))\/((-62)\/248)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 i when three letters picked without replacement from {z: 3, j: 1, i: 1, a: 2, f: 12}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19630643210 and 7615.\nAnswer: 19630650825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 + 6*p**2 + p**2)*(-1 - 30 + 120) + (2 - 2 - 3)*(2*p**2 + 2*p - 2*p) - 3*p + 2*p**2 + 3*p to y*p + j*p**2 + r and give j.\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*i + 2*u = 18, -4*i = 2*u + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**6\/60 - a**5\/10 + 4*a**3\/3 + 2*a**2 - 3*a. Let h(z) be the first derivative of c(z). Factor h(l).\nAnswer: -2*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2446 + -218. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 199559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -524 by -131.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 - 192197*t**5 - 2*t**3 + 6969002*t**2.\nAnswer: 120*t**3 - 11531820*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1234, -2469, -3704?\nAnswer: -4939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4638\/36 + 1\/(-6). Suppose -2*l = -3*s + 382, 4*s = 6*l - 9*l + 532. Let y = s - f. What is the third smallest value in y, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:57 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juo when three letters picked without replacement from {n: 1, j: 1, u: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5638 and 535604362.\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w. Let v(i) = -2*i**2 + 2*i. Let s(r) = v(r) - 2*x(r). Let b be 19\/(-171) + 220\/36. Let o(j) = -8*j + 4*j - b*j. Give s(o(y)).\nAnswer: -400*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(0*k + 5*k - k)*(3 - 11*k**2 - k + 3*k**2 - 2).\nAnswer: -64*k**3 - 8*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2358*g**2 + 5*g + 69. Let r(m) = -2365*m**2 + 4*m + 67. Let l(x) = -6*h(x) + 7*r(x). What is the second derivative of l(f) wrt f?\nAnswer: -4814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-65)\/(-15)*-1*-9. Factor 18*k**2 - 2*k**4 - 40*k - j*k + 25*k + 6*k**3.\nAnswer: -2*k*(k - 3)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/28)\/((-8)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210 - -367. Let u be 0\/5 - i*-2. Suppose 3*o - u = 4606. Round o to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6102*s = -5595*s - 44109 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q + 2*q + 2 + 4*q**2 - 5 - 3*q**2. Let d be o(-7). Let v be 9\/27 + 13\/d. Let p(x) = x**2 + 7*x. Determine p(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96.0081 + -96. What is a rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 708 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:39 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0239.\nAnswer: -0.00239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u + 6. Let b be h(4). Suppose 8*x + b - 6 = 0. Let s be (-18)\/x - (0 + 2 + 0). Sort 31, 3, s, -3 in increasing order.\nAnswer: -3, s, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c + 735 - 735.\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -106. What is the remainder when n is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 + -136. Let n(p) = 4*p**2 + 59*p + 179. Calculate the remainder when w is divided by n(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -2\/15 (c) 0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (12 - (7 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3245 - -3300. What is the remainder when 28652 is divided by j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -887, -1330, -1773, -2216?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238 - 523. Let h = 426 - p. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.183 - -1.183. What is the third biggest value in -3\/7, -1\/11, z, -0.04?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6814700 from 6566195.\nAnswer: 13380895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + (-952)\/(-1456)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1843, -3597, -5351, -7105, -8859?\n\"Answer: -1754*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1111 - 1110. Which is greater: -3\/6592 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66831008.\nAnswer: 2, 23, 90803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 29*g + 250. What is l(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - q - 2*q)*(q - q + 79568*q**2 - 75084*q**2) to the form a + w*q + s*q**3 + z*q**2 and give s.\nAnswer: 8968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -13 (b) -1.6 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**8\/4480 + p**7\/1680 - p**4\/2 - 7*p**3\/6 + 54*p**2. Let n(d) be the second derivative of g(d). Find x, given that n(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 932 = -334*k - 6955 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*y**2 - 3*y + 0*y**2 - 62*y**6 + y - 67*y**6 wrt y?\nAnswer: -15480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let j(p) = p**2 + p. Let v(l) = -2*b(l) + j(l). Let d(h) = 7*h**2 - 9*h. Determine d(t) - 4*v(t).\nAnswer: 3*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (648017\/(-36508))\/(3\/(-12))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9677424 = d + 977424. What is d rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(5 + (-2)\/(-1)). Let s be 16\/1 + 3*-1. Suppose 9*p = s*p. Which is the nearest to p? (a) o (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let m(i) = -33*i**2 - 11*i. Let s(n) = -17*n**2 - 6*n. Let j(b) = -5*b**3 + b**2. Let r be j(-1). Let c(v) = r*m(v) - 11*s(v). What is x(c(t))?\nAnswer: 121*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22204 (base 6) to base 13\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50338979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91658424 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j + 2*j)*(-4*j**2 + j**2 - j**2) - 12*j**3 - 14*j**3 + 29*j**3 in the form m*j**3 + g + c*j**2 + u*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by 5.\nAnswer: 153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-33)*60\/(-630)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 - -137. Let b = 51261144.2800187 + -51261532.28. Let s = t + b. Round s to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let c(m) be the second derivative of -67*m**3\/3 + m**2 - 738*m. Give c(b(l)).\nAnswer: 268*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbgbgbrr. Give prob of picking 1 g and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328\/(-41)*((-2)\/(-4))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -779.49 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -594 + 582. Let f be w\/114 + (-135)\/(-19). Let i(m) be the third derivative of -m**4\/24 + 3*m**3\/2 - 2*m**2. Determine i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-2) - (2 + 0). Suppose -2*q = t + x, 0*t - 6 = 3*q + 4*t. Let c(v) = -6*v**3 + 2*v**2 - v. Is c(q) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -9 - 6) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600) + sqrt(1600)*-4)\/(sqrt(200)*-6 + sqrt(8)).\nAnswer: 30*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.51 - -0.29. Let q = 5 - z. Which is the nearest to q? (a) -2 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2773 and 764111242?\nAnswer: 2773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(2*m - 4 + 4) in the form a + g*m and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 0.846 (c) 41\/6 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -25.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 692300 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -50.6. Let t = 0.599938 - v. What is t rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 64\/11 (b) 7183 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3341681683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 341*t. Let w(v) = -3*v**2. Calculate w(u(n)).\nAnswer: -348843*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 4*p**4 - 2*p**3 - 44 + (3*p + 2*p + 4*p)*(-2*p**3 + 4*p**3 + p**3) to the form n*p**3 + w + r*p**2 + j*p**4 + i*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - 0.2. Let u = 1.918 + g. What is u rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.21234 * -24\nAnswer: 77.09616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34108166 a multiple of 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-30))\/(56\/(-12) - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -2.7. Which is the closest to 0.2? (a) 2\/3 (b) -3\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.84 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5270 and -375.05.\nAnswer: -1976513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = 3*a - 17, 0 = 2*j + 4*a - 26. Let g be 5 - 153\/27 - 12715357\/j. Let v = 15961547 - g. What is v rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 5*x + 4. Let h be y(-6). Let n(q) = 2 + 4*q - 4*q + 3*q. Give n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + -1 + -3 + 2)**2*4.\nAnswer: -320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 7*h**2 - 4*h - 5. Let d be p(-5). Let x = 100 - d. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335\/77 + -21425\/5544. Let k = o + -19\/8. Calculate the common denominator of k and 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/8 + 1 + (-79)\/(-8) + -8. Solve z = -1, -3*a + h*z - 9 = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = -316 + 532 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + 1*sqrt(216)*-2)\/(sqrt(4)\/(sqrt(6)\/sqrt(3))*-5).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6726699 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16\/36 - (-70390)\/18.\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*i - 17*i - 12879 = -141*i + 43*i for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 51. Let l = q - 421\/10. Let w = 1176441\/11 + -106949. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/88 and 49\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.37 times -0.2\nAnswer: 0.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -176138496 divided by -14688\nAnswer: 11992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 47604*n + 47602*n - 183*n**2 - 2 - 95206*n.\nAnswer: -183*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let a(j) = -7 - 14 + 32 - 11 - 8*j**2. Calculate n(a(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.027717 centimeters?\nAnswer: 0.00009027717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((2 - -1) + 7) - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -o - 0*j + 53, -5*o - 2*j + 313 = 0. Suppose -s - o = -5*m + s, 10 = 5*s. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1768 + -759. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331454802 divided by 6.\nAnswer: 55242467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64.63 times -0.5485\nAnswer: 35.449555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r. Suppose 3 = -2*w - 5. Let i be ((-1)\/3)\/(w\/(-12)). Let q be v(i). Solve -q*u - 2*u = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 3)\/((-9)\/228 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -3.08. Suppose -3 = -3*f - 0*f. Which is the nearest to f? (a) 4 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - m - m - 2, -f + 4*m - 23 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*i + 501 + 153, -4*b + 2*i + 526 = 0. What is the highest common divisor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.19. Let u = q + -0.09. Is -1\/4 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799612 a multiple of 713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149.1 + -159. Let l = -30 + 20. Let k = z - l. Which is greater: 2\/23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1\/4, -4\/9, -128 in descending order.\nAnswer: -1\/4, -4\/9, -19, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/13914 and -55\/2309724.\nAnswer: 2309724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -10735\/2 and -5369 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9962.\nAnswer: 2, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (58\/(-87))\/(4*3\/(-11214)). Factor -12628*x - 3*x**3 - 2*x**3 - 490*x**2 + k*x.\nAnswer: -5*x*(x + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose -156 = -d*c - 1. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 9, u: 5}. What is prob of picking 1 h and 1 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 8. Let g be i(-5). Let k = -1 - g. Suppose k*x - 20 = -d + 13, x = -5*d + 12. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -6 + 3 + 167 + -171?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65997 and -1169?\nAnswer: 77150493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2448)*-1)*-4.\nAnswer: -4 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*u + 80*u - 79809. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1\/63*m**7 - 15*m + 0 - 1\/10*m**5 + 0*m**3 + 1\/15*m**6 + 1\/18*m**4 + 0*m**2. Factor v(a).\nAnswer: -2*a**2*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 19 = -5*u, -26*o + 23*o + 26 = -4*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/63))\/x**1)\/((x*x**2)\/x**6) assuming x is positive.\nAnswer: x**(187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*2\/(-4). Let m be (-896)\/(-3136) - (-1604)\/168. Which is the nearest to -0.1? (a) 4 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 - 7*w - 4. Let i(g) = g**2 - 3*g. Determine 2*i(r) - u(r).\nAnswer: 14*r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:03 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1, -1855, -77 in decreasing order.\nAnswer: 2, 1, -4, -77, -1855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2641897125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9665 or 0.09?\nAnswer: -9665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2 - 4. What is the third derivative of d*v**4 - 3*v**4 + 6*v**4 - 3*v**2 wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-10) - (-165)\/(-25). Let p(a) = a**3 + 11*a**2 + 18*a - 2. Let m be p(z). Let x = m + 10. What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - a - 675, 4*p + 200 = -2*a + 866. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1414428437 rounded to three decimal places?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -39655 (base 15) to base 14\nAnswer: -4ad20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 2, 0, -14, -46, -102, -188, -310?\n\"Answer: -v**3 + 3*v**2 + 2*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150420 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)*f**(5\/3)*f)\/(f*f**2)**35)**(23\/5) assuming f is positive.\nAnswer: f**(-7613\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**10*j**1*j assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + (-2)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfbw when four letters picked without replacement from {f: 7, w: 6, b: 1}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1 - (23 + -27)) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 - 41965120.2?\nAnswer: -41964567.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9380, 9381, 9382, 9383, 9384?\nAnswer: 9385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 495.6116185352.\nAnswer: 497.6116185352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(2*sqrt(441))*3 + 2 + 6*((sqrt(48)*-2)**2 - sqrt(3)))*6.\nAnswer: -243*sqrt(3)\/7 + 6924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725, -1513, -2297, -3077?\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.4, -5, 6233 in ascending order.\nAnswer: -5, 0.3, 0.4, 6233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-8)\/12)\/(-2))\/(24\/45936). Let b = m - 346. What are the prime factors of b?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(-3*sqrt(324)) + sqrt(88)\/(sqrt(88)\/(sqrt(11)*-3)).\nAnswer: -55*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6815, 309, 2 in increasing order.\nAnswer: 2, 309, 6815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (sqrt(99) - (sqrt(99) + -3 + (-1*sqrt(99) + sqrt(99) - sqrt(99)))))**2 + 4.\nAnswer: 60*sqrt(11) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.028324 rounded to one decimal place?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 take away -0.17?\nAnswer: -183.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by -2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5581 - -294?\nAnswer: -52cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (16 - (-15 - 7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 17*t = s - 14 + 51, -4*s = -26*t + 56 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 929*j + 18946. Give n(-16).\nAnswer: 4082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 566045.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -27*o**5\/20 - o**4\/6 - o**3\/2 - 3*o**2\/2 - 3*o. Let t be y(-2). Let s = t + -98. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 2212323?\nAnswer: -2212303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (-48)\/10)*-1775. Suppose 10*z - x - 670 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -10829 + 10795 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x*x**(-3\/13)*x)*x*x\/(x**(-2)\/x))\/((x*x*x\/(x\/x**(3\/7))*x)\/x**(-1\/5)) assuming x is positive.\nAnswer: x**(1639\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102\/(-272) - 2534\/(-16)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155541067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8 or -10042?\nAnswer: -10042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 8*s - 6. Let q be r(9). Suppose q = -4*a + 11. Solve -3 = m - a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwwqllwwqllll. What is prob of sequence qql?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61570 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -16*v - 46. Suppose -13 - 9 = -v*l. Calculate the remainder when 48 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 42*g - 36. Let f be w(5). Let d = -84 + f. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 98, -1\/7, 1.426?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119461*l**2 - 119461*l**2 + l**3 - 2*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 5. Let r(q) = -8*q - 10. Let w(j) = -13*l(j) - 6*r(j). Let f(i) = -4*i + 3. Give 10*f(h) + 6*w(h).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -917 - -3279. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4532 - 4712 = 10*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/16*(-70)\/(-105).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -32*u**2 + 12*u + 14. Let m be n(-8). Let j = -1175 - m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-146)\/1)\/(-1 - (-243)\/318). Let y = -619 + k. Which is smaller: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 a factor of 1310530489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982454861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1477*x. Let z(k) = -9398*k. Give z(b(g)).\nAnswer: -13880846*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 60701?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1214*y - 8. Let w(u) = -25*u - 1. Determine -2*v(r) + 14*w(r).\nAnswer: 2078*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 13032022232?\nAnswer: -13032022223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 45, -3, -1, 0, -4, -24 in descending order.\nAnswer: 94, 45, 0, -1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -82*k + 11. Let p be m(2). Let g be (-5)\/(75\/p) - (-8)\/10. Suppose 0 = -4*z + 20, -g = -4*s + 5*z + 8. Round s to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0161701 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 7*k + 63 = 0. Let g be (-1 - -10)*116\/(-6). Does 32 divide g\/(-2)*k\/(18\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177290411 a multiple of 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijitirttiijirttjitt. What is prob of sequence itri?\nAnswer: 49\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 14 = 10*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-395)\/(-158) - (-6*1)\/(-2). Sort -5, -105, 1, d in decreasing order.\nAnswer: 1, d, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -4, 6 in decreasing order.\nAnswer: 6, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (6 - 0) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - t + t + (-t - 3 + 3)*(t**2 - t + t) + (2381 - 2384 + 26*t**2 - 3*t**2)*(-3*t + 7*t - 3*t).\nAnswer: 21*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 164*a**3 - 156*a**2 - 164*a + 160.\nAnswer: -4*(a - 40)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s**(2\/5)*s*s**(-2\/11)*s\/s**(2\/19))\/(((s*s*s*s*s**5)\/s*s*s*(((s*s**(-7)\/s*s)\/s)\/s)\/s)\/(s**(-2\/7)\/(s\/s**2))) assuming s is positive.\nAnswer: s**(35311\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*g = g + 7, 2*g - 4 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -1\/6, 1\/8 in increasing order.\nAnswer: -1\/6, 1\/8, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 0 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 - 5*p + 4. Calculate b(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58.2 and -70.\nAnswer: -128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(10\/(-160)). Suppose i = -i + n. Let z be ((-10)\/i)\/((-3)\/6). Solve 0 = z*y - 2*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 96552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11.03 (b) 232 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -41*o + 25 + 7\/2*o**2. What is the remainder when s(20) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1161653\/92 - 12627. Let z = m + 2\/23. Let p = -4.2 + 4. Which is the closest to z? (a) 2\/7 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -6095097.\nAnswer: 182852910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30) + (-8041)\/7095.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 - 6*z**3 + 3*z**2 + 6*z - 9\/2.\nAnswer: 3*(z - 3)*(z - 1)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 2*sqrt(1584))**2 - (sqrt(11) - (3 + sqrt(11) + -3) - sqrt(88)\/(sqrt(8)*-3)).\nAnswer: 575*sqrt(11)\/3 + 25348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921739 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.6 - -66.60573. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2305*i**3 + 6*i**2 + 2725. Let l(x) = -4610*x**3 + 11*x**2 + 5450. Let o(t) = -11*k(t) + 6*l(t). Differentiate o(a) wrt a.\nAnswer: -6915*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2*b - 5*h, 6*b + 607 - 262 - 287 = -4*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132630 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 2*l - 4. Let n be t(-4). Suppose 35 = 2*h - 5*u - 22, 5*h = 5*u + 135. Suppose -h = 2*k - n*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15246.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/120*8\/((-320)\/50)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Suppose 0 = u - 3*u + 28. Suppose -u = -i - a. Solve s + i = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -2\/5, -3\/7 in descending order.\nAnswer: 1.6, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/192*(-2)\/((-4)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2107 (base 9) to base 4\nAnswer: -120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 40 = -w, -3*n - w + 9 = -35. Suppose -c = 2*u + 12, 14 + n = -4*c - 4*u. Let j = c + 24. Calculate the remainder when 86 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:41 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 4*u, -w + 0*w + 3*u = 6. Suppose w = -8*h - 0 + 16. Suppose 5*y - h*g - 147 = 0, -2*g + 123 = 4*y - 9. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 1167392*u**4\/15 + 32219408*u**3\/3 + 5557531586*u**2\/15 - 969956*u + 3174\/5 = 0.\nAnswer: -69, 1\/764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141485, -281904, -422323?\nAnswer: -562742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 2.5. Suppose -15 = -2*j - 99. Let g be 2\/(-6) + (-26)\/j. What is the nearest to 2\/3 in i, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 205 + 59 = 0. Let u = -41 - v. Solve 0 = -5*y + u - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 23 - 11) + (5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/(l\/l**(-9)))\/((l\/l**(11\/2))\/(l*l**(-11))) assuming l is positive.\nAnswer: l**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**4\/6 + 281*b**3\/3 + 282*b**2 - 6405*b. Factor v(r).\nAnswer: -2*(r - 282)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33473022.\nAnswer: 2, 3, 11, 19, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 5.7. Let g = r - 0. Let w = -0.8 - g. Which is smaller: -0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2\/3 - 14150*f\/3 + 3337040 = 0 for f.\nAnswer: 1414, 1416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2976625 + 58.\nAnswer: 59.2976625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 10 + -7 + 1 + -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7069 divided by -13.\nAnswer: -7069\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 = -m, -2*n - 7 = 2*m - 3. What is the nearest to 0.1 in 25, m, 5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = -2*i, 2*i = -0*v + v - 35. Put 0.5, i, -1 in decreasing order.\nAnswer: 0.5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 5*d = -54, 0 = 2*x - d - 33 + 46 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.024 + 1.144. Let h = r + -0.02. Let a = -2.9 - h. What is the second smallest value in 2, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44591 = 5*s - 3*c - 3012, c - 38079 = -4*s. What is s rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -6 + -1 - (-5 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30163.058 - -168.658. Let y = 29994.35799775 + c. Let t = y + 0.042. Round t to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11544 divided by 12\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -513121\nAnswer: -102624.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 57*k**2 + 724*k + 338. Calculate i(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -141 and 10007.1024.\nAnswer: 9866.1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244259085 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33417 + 48?\nAnswer: 33466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89*s - 89*s - 23*s**4)*(-1 + 4 - 2)*(1 + 1 + 0)*(3 + 3 - 5 + (2 + 1 - 1)*(2 - 3 + 2)) to the form t*s**2 + o*s + w + v*s**4 + x*s**3 and give v.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65*(-64)\/216320*2\/(-2)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cjccycccccjccccjcccc.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -608.4\nAnswer: -1216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 369\/(-36) - 58\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*b**2 - 110*b**2 - 5*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 4*d + 2*d - 3*d. Let p(c) be the first derivative of 0*c + 0*c**2 + 13 + 2\/3*c**3. Determine p(j(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 11240414.8168515.\nAnswer: -11240418.8168515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -749678*v**3 + 992192 wrt v.\nAnswer: -2249034*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*y + 3*y - 3*y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 24*v**2 + 19*v + 6. What is the remainder when 104 is divided by w(-23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 - 426. Let n = 337 + x. Let m = -40 - -85. Calculate the remainder when n is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7030 - 6370. What is the smallest common multiple of 120 and r?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 99*y - 1. Let i be q(-1). Let v be (-2)\/8 + i\/(-16). Let k be 38\/14 + (-2)\/(-7). Solve -f + v = -k*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 556*v - 7460. Give l(15).\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 646*d + 77484. What is f(-159)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 + 6. Let y(j) be the third derivative of 19*j**5\/60 - 13*j**3\/6 - 143*j**2. Calculate -13*m(u) - 6*y(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/19 (b) 0.1 (c) -1\/3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:39 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 19*u - 47*u + 6240 = -30*u for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/20050 and -33\/10025.\nAnswer: 20050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5747863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 + -6. Let m = n - 0.0999994. What is m rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44975.7699 to the nearest 100.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 48*w - 38. Give i(17).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21220 - 21150. Is 76 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1657613.799943 + -1657615. Let u = -0.07 + 1.27. Let j = q + u. What is j rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 46*d - 44*d. Let t(m) = -m**2 + 20*m + 32. Is 8 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1401 + 50 = 296*m - 3285 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 32. What is the remainder when 73 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -60, -4, 4, 1 in increasing order.\nAnswer: -60, -4, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 + -125. Suppose w = 3*q + q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27934259.\nAnswer: 23, 1214533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -55. Suppose 4*p + 4*c - 40 = 0, 0*p - 5*p + x = c. Suppose 3*f + 9 - 3 = 0. Put f, -1, p in decreasing order.\nAnswer: p, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8166745 and -52\/4900047.\nAnswer: 24500235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/7, -5 in decreasing order.\nAnswer: 0.5, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036359944 rounded to 6 dps?\nAnswer: 0.03636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72194087 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-12)*v*((v\/((v**(3\/5)*v)\/v)*v)\/v)\/v*v)\/(v*v**0*v*v\/v**(-4)) assuming v is positive.\nAnswer: v**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38097.\nAnswer: 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -519 + 903. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9025\/1425)\/(2\/(-84)*2)*372\/434?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595223903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113 times 11?\nAnswer: -34243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3 - 12*u**2 - 8*u + 48 = 0.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -19. Let l be n\/6 - (2 - 0). Which is smaller: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2001020012010?\nAnswer: -2001020012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - 2) + 6*(-6 - -5). Solve l*d + 12 = 4*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.46 to the nearest integer.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 16) to base 14.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.062157 - -2.062157. Let i = -12 - -130\/11. Which is the second smallest value? (a) j (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -49 + 6 - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (1 + sqrt(1216) + 3)) + (sqrt(152) + (sqrt(152) - 2*sqrt(152)*6))\/sqrt(8))**2.\nAnswer: 80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407682 by 11.\nAnswer: 37062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 + 21?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 1. Let p(t) = -33*t**2 + 3. Let k(o) = 5*p(o) - 15*q(o). Let i(g) = -2*g - 4*g + g + 4*g. What is k(i(s))?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2 + 5*q**2 + 2*q**2 - 47*q + 200. Let u be z(29). Do -322 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (287\/6 - (-448)\/2688)*(-2)\/3\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1\/(8 + 87\/(-9)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - 4*u, -3*v - 7*u - 10 = -2*u. Calculate the smallest common multiple of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 4. What is the remainder when (-1)\/y - (-57)\/6 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -40, -27, 4, 59, 144, 265?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/93)\/(3*(-2)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 l when three letters picked without replacement from {y: 3, v: 1, p: 2, l: 1, o: 3, r: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 797*g**2*r**3*t**3 - g**2*t**3 - 2*g*r**3*t**2 + 2*g*r**2*t**3 - 4*g*r*t**2 + 41*r**3*t**3 wrt g.\nAnswer: 1594*r**3*t**3 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -47. Calculate the remainder when -4 + (40 - h) + -1 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1444752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 9*t**5\/5 + 83*t**4 + 326*t**3\/3 + 54*t**2 + 242*t. Factor n(l).\nAnswer: 4*(l + 27)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466\/6*3*(-11)\/(-11)?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y + 2*h = -78*y + 13234, -5*h = 2*y - 13219. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 45075204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159072880.\nAnswer: 2, 5, 1988411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 16*x + 35. Calculate y(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*u - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f - 4. Let t(x) = x**2 + 20*x + 76. Let d = 62 + -77. Let h be t(d). Sort h, f, 3, -4.\nAnswer: -4, h, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1919*c + 8*c**2 - 1920*c + 0 + 0.\nAnswer: c*(8*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24596 + -24553. Solve -12*z = -g*z - 9*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508689141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43200 divided by 1440?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-9))\/(110005\/(-565740)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h + 4*h)*(-3*h**2 + 0*h**2 + 5*h**2) - 54*h**2 + 54*h**2 - 203*h**3 in the form n*h**2 + u + z*h + d*h**3 and give d.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/2) + 21. Suppose 0 = -7*r + 5*r - 5*p - 4, 1 = -r - 2*p. Suppose -d + i = r*d. Solve -d - 11 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22055 - 1206. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.610857688 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.1063 millimeters to kilometers.\nAnswer: 0.0006861063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -209903, -209880, -209843, -209792?\n\"Answer: 7*x**2 + 2*x - 209912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6828 = 3*f - 5*o, -21*f - 3*o + 9093 = -25*f. Let q = -2266 - f. Find c such that q*c**2 + 0*c + 2*c**3 + 0 + 1\/5*c**4 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + s = -105, -3*t + 4*s - 12 = -58. Let k = -1 - -5. What is the lowest common multiple of k and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (2 + -119)\/3. Let w be -9*((-14)\/6 - -2). Suppose -2*h = w*h - p. Solve -4*d = -0 - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 1701 + 1701.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 494702 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 771.\nAnswer: -7\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*u = -0*a + 52, a - 24 = -2*u. Let t be 1*(18\/12)\/(6\/a). Suppose 2*m + 4*q + 18 = 0, -q - 16 = t*m - 3*q. Let w(c) = -c**2 - 4*c. Give w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let u(a) be the first derivative of -a**4\/4 - 2*a**3\/3 + a**2\/2 - 4*a - 1. Let q be u(-3). Solve q*y = -g*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -x + 2. Suppose -4*n + 6*n - n = 0. Calculate the remainder when (3 - n)*129\/9 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17bd16 (base 14) to base 5\nAnswer: 203330423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 43*a + 87. What is w(37)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -3, -12, -5, 0, 1298 in increasing order.\nAnswer: -23, -12, -5, -3, 0, 1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 19. Suppose 2*p = -5*b + 39, -4*b - 1 - 11 = z. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53321?\nAnswer: 71, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135237466)\/12 + 6\/(-36). Let t = -7019789 - h. What is t rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -103, -257, -555, -1045?\n\"Answer: -8*q**3 - 2*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1331) + sqrt(1331) + -1).\nAnswer: -88*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0256, 1, -2\/5 in ascending order.\nAnswer: -2\/5, 0.0256, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 21 = -3. Suppose p + 3*p - 4*y = a, -3*p - y = -1. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:37 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 55 - 104.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31163657 + 1.19119.\nAnswer: 31163658.19119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*i + 20*i + 176. Let o(q) = -1. Let y(f) = -f + 5. Calculate i*y(m) + 10*o(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 52 = 7*p, -5*p + 228244*f - 38 = 228245*f for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/5 + -15 + (-11 - (-19 + -12))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-12) + (-13)\/(-4). Suppose -5*x - i*h + 37 = 0, 0*x - x - 1 = -2*h. Suppose -78 = -x*b + 7. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6793 by 1.\nAnswer: 6793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/((-1)\/(-6)). Let j = 12 + y. Put j, 2, 1 in increasing order.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2566 divide 1286764322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 - 2275*g + 4061. Give m(173).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-4))\/((-3)\/6). Let x = 26228 - 26212. Solve 0 = -h - a - 3*a + x, -y*h - a + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46554 is divided by 4226?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/((-1)\/1))\/1. Suppose -7*r = -2*h - 3*r + 8, -y*h = -5*r - 15. Let b be h\/4*12\/15. What is the highest common factor of 14 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h + 18. Let t(z) = -2*z + 2. Let m(p) = -4*a(p) + 36*t(p). Let n(w) = -15*w**2. Give m(n(r)).\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -414 < -415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(5\/(-2) - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/63 in 2\/21, 0.09, 20, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g - 37*g - 18*g - 497.\nAnswer: 2*g - 497","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*w + 2*w - 2, -4*k = -w - 24. Which is the second biggest value? (a) 2\/27 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 675*x**2\/4 + 180*x + 48.\nAnswer: 3*(15*x + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-70) + 14\/49. Let g = m - 7\/20. Which is the third biggest value? (a) 7 (b) -1 (c) -3 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52618933 and 0.2.\nAnswer: -52618932.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3502*s + 107. Is 23 a factor of t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152*j**3*r + 16*j**3 - 2*j*r - 2*j + 3*r - 45 with respect to r.\nAnswer: 152*j**3 - 2*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*y + 463 = 0, 5*x + 2*y - 1445 = 916. What is the highest common divisor of 43 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 4176?\nAnswer: -11\/1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*z + 6, -2*o = 2*z - 0*z - 6. Suppose b + o*b = -20. What is the remainder when (-111 + 5)*b\/10 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 3\/(1 + 0). Suppose -2*f = 2*o - 20, 4*o = g*f - 6*f + 40. What is the highest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 5930.\nAnswer: 53370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 4*o + 14. Determine b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n - 32. Determine y(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -3.08. Let t = -8 - -4. Let x = -2 + 1. Sort t, j, x, -2\/3 in descending order.\nAnswer: -2\/3, x, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 264, 1055, 2372, 4215, 6584, 9479?\n\"Answer: 263*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4759226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1619.45*0.4.\nAnswer: -647.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*a - 1109*a**4 - 790*a**2 - 64*a + 791*a**2 + 35*a in the form v*a + d + n*a**3 + p*a**4 + z*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2\/2 - 4*c - 1. Let q(g) = 17*g**2 - 2*g - 5. Let a be q(-3). Let l be (88\/a)\/(2\/14). Give i(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237 by -29435.\nAnswer: -237\/29435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06790343 to 4 decimal places.\nAnswer: -0.0679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**8\/2016 + 17*g**7\/1260 - 2*g**6\/15 + g**5\/2 + 11*g**2 + 8*g. Find z, given that v(z) = 0.\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 3. Suppose l = -p + 5. Suppose 0 = -l*i + 203 + 1. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000101 (base 2) to base 6\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720004.4473692 take away 0.5?\nAnswer: 7720003.9473692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154171661 divided by 3?\nAnswer: 384723887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3466, -6954, -10460, -13984, -17526, -21086?\n\"Answer: -9*v**2 - 3461*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 - d**2\/2 - d. Let w(u) = 6*u**2 + 5*u + 10. Let i(p) = -5*n(p) - w(p). Let h be i(-4). Is h equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Suppose -3*x - 12 = 0, -x + 10 = g*j - 6. Solve -d - 4*d - j = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/1260 + h**6\/240 - h**5\/20 - h**4\/24 + 2*h**2. Let o(u) be the second derivative of b(u). Is o(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54349 + -6739361\/124. What is the common denominator of l and -53\/6?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -350*t - 5484. Does 3 divide x(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 4*c**2 + 2. Let n be z(-4). Suppose -5*p + 19 = 2*d, n*p - 4 = -2*p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 39 = -8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 1.8288.\nAnswer: 2.1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdoggggogggggo. Give prob of picking 2 g.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*f - 829*f - 1484*f + 110376 = -106*f for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-232)\/(-72) - 2\/9. Suppose -3*z + 4*z = j - 3, 0 = -t*j - 3*z - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90166 divided by -2.\nAnswer: -45083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 4*n**2 - 2*n**2 + n**2 - 251 - 3*n + 256. Give g(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.342 * -17340\nAnswer: -75290.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 10*p**2 + 126*p - 294. Let x be s(3). Solve -15 = -v - x for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22111330 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: 1 - ((16 + -8 - 38) + 2 + -10 + 5)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60277 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:39 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -33263, 1819, 2 in decreasing order.\nAnswer: 1819, 2, -33263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -1)*-3 + 1*sqrt(288) + -5)**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34210, -97658, -203390, -351394, -541658, -774170, -1048918?\nAnswer: -1365890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 0.6?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/4 - 1373*n**2\/4 - 84641*n\/2 + 506726 = 0?\nAnswer: -124, 11, 1486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -26*f**4 + 3*f**3 - 3*f**2 + 22. Let m(n) = -n**3 + n**2 - 1. Let i(s) = -3*m(s) - y(s). What is the derivative of i(p) wrt p?\nAnswer: 104*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**5\/10 - q**4\/2 + 4*q**3\/3 + 2*q**2 + 53*q. Let k = -1 + 5. Let w(d) = -3*d**3 - 7*d**2 + 9*d + 5. Give k*w(m) - 5*a(m).\nAnswer: -2*m**3 + 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = 3*f, 2*v - 5*f = -3*v + 45. Suppose -45 = v*r - 10*r. Let p(o) = -o**2 + 9*o - 9. What is p(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let m(h) = -5*h - 5. Let c be m(-2). Sort c, p, -1 in decreasing order.\nAnswer: c, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33152728513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0, 0.3, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352 + 350. Which is the smallest value? (a) 0 (b) 3 (c) y (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -240*y**3 - 3*y**2 + 5*y - 4405.\nAnswer: -720*y**2 - 6*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/6*z**3 + 25\/3 + 26\/3*z**2 - 145\/6*z = 0. What is z?\nAnswer: 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + m**2 - 2*m + 1. Let g be v(1). Suppose -g*s + 16 = -36. Let x(o) = 10*o**2 - 7*o - 7. Calculate the remainder when s is divided by x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*r + 18910 = 65770. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 - 43893*i**3 + 1925893033*i**2\/2 + 15415572744*i + 61673529632.\nAnswer: (i - 43901)**2*(i + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 124*x + 1336. What is p(-112)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 3. Let x be l(3). Does -6 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8, 1979, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 2)*(-49*h**3 + 49*h**3 + h**4).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.4. Let o = 454.477 - 454. Let k = o + 0.023. Sort -4, k, c.\nAnswer: -4, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 557433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173\/21 + 15544\/1869. What is the second biggest value in -6, -1\/7, j?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:16 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 31811*y**2\/3 - 572866*y\/3 + 1782424\/3.\nAnswer: (y - 14)*(y - 4)*(y + 31829)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmtcttmmtmzmbttmttm. Give prob of picking 1 b and 1 m.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 760754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75224 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886437869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 4115\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k**33)**(-1\/26) assuming k is positive.\nAnswer: k**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-20)\/5)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108429375 by -21685875.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557635 is divided by 692?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.28\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3 - (-13)\/5). Suppose 5*k + 15 = 0, t*v + 2*k + 6 = 4*v. Let l = v + 11. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 6*d - 91 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/9 - 1004*y**2\/9 + 112454*y\/9 - 179140\/3 = 0.\nAnswer: 5, 159, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1083 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 5, 33, -2, 1, -20.\nAnswer: -20, -8, -2, 1, 2, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -41, -5 in decreasing order.\nAnswer: 2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = 0, 4*l - t - 3*t = 60. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -13 - (8 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102894064*y**4 - 33166618*y - 2 wrt y?\nAnswer: 1234728768*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 - 5*f - 5. Give k(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*i - 2457 = 0, -4*i + 110 = -q - 507. Let s = q - -3071\/5. Suppose -s*z**3 - 27\/5*z**2 + 3*z + 0 = 0. What is z?\nAnswer: -5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 - 3*w. Let g be q(4). Let r(c) = c**3 + 7*c**2 + 7*c + 4. Let f be r(-6). Let n be f\/(-3) - (-1)\/3. Solve -3*j - n = -g*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose -3*b + 2*u = -5*b + 66, t*u = -4*b + 130. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaqqqqaaiiqiauip. What is prob of picking 1 i and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 z, and 1 f when four letters picked without replacement from mmzmmzzmzmmmmzmmfzm?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u. Let z = 23 - 41. Let l(w) = -2*w**3 - 2*w**2. Let n be l(-2). Let a be (-63)\/z*n\/14. Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 4*w + 18 = 10*h, h + 3*w + 6 = 0. Let c(x) = -10*x - 58. Determine c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -82*v - 3. What is the tens digit of c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 1216 + 1529 = 0. Let s = f - -260. Suppose 2*a - s = -4*p - 195, 10 = -5*p. What is the highest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnnnnnnnnnnnnnnnnnn. Give prob of picking 1 s and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36997\/56980 + -2\/2849. Find the common denominator of 1*-2 - (1146\/(-96) - -4) and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 9. Solve 20 = t*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*u = -1, 5*i - 4*i + 3*u = -14. Let m = -71 + 73. Let r(z) = 2*z**2 - 4*z - 2. Let w(g) = 4*g**2 - 9*g - 4. Calculate i*r(k) + m*w(k).\nAnswer: -2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oov. What is prob of picking 1 v and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 11*x - 7. Let f be a(4). Suppose -4*b = 3*p + 20, -f*b + 6 = -8*p + 4*p. Let o = -43\/12 - -13\/4. What is the nearest to o in 4\/7, p, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, c: 6, k: 5, z: 1}. What is prob of picking 1 c and 1 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 124 + 140. Let t = -4348 - -4381. Calculate the highest common divisor of c and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448961.\nAnswer: 269, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:15 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**9\/5040 + h**5\/120 + h**4\/12 - 3*h. Let j(z) be the third derivative of q(z). Differentiate j(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 13 + 3*w + 2*w. Let n be j(7). Is n < -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411827.06 rounded to the nearest one thousand?\nAnswer: -1412000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5011.013006 + -5011. Round o to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 - 6 = 0. Determine t so that -4\/3*t**p - 2\/3*t - 2\/3*t**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -m - 15, 0*q = -4*q + 20. What is the nearest to 0.1 in m, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/59, -1, 2, -12\/29.\nAnswer: -6, -1, -12\/29, -2\/59, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5223*l**4 + 288*l**2 wrt l.\nAnswer: 125352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (18 - 83 - -69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w - 4. Let z = -22 + 30. What are the prime factors of g(z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 35*z - 14 = 0. Let n be (6\/15)\/(2\/20). Solve f - n*l = -23, 2*f + 8*l = 4*l + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3\/5 - 34*x**2\/5 + 128*x\/5 + 32 = 0.\nAnswer: -20, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254*t - 112 wrt t.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 45*m + 492. Let z be x(30). What is the greatest common divisor of z and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200589 or 200588?\nAnswer: 200589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 214 = 332*p - 338*p, -4*p + 4*f = -148. Solve -2*r + 5*m = 15 - p, 9 = -5*r - m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:22 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1\/(1\/(-5)). Let m = 48.158 + 0.142. Let w = m + -48. Which is the nearest to 1? (a) z (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 18*r**2 + 45*r + 27. Let p be t(-15). Solve -p*u = -u - 78 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9*n - 9 = 6*n, 5*n = -4*g + 8. Let p be (-5)\/((-30)\/(-24)) + g. Find z such that 4\/3 + 2\/3*z**p + 1\/3*z**4 - z**2 - 4\/3*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -53*f + 52*f - 635, 5*p - 625 = -f. Calculate the highest common factor of 42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689800214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 40*g - 30*g + 47 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3525*h = 3531*h + 48 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -94\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14764173*d**3*y - 10*y + 457580 wrt d?\nAnswer: 44292519*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 2. Let b = 8 - 5. Let c be 2 - 7\/(231\/60). Put b, c, p in ascending order.\nAnswer: p, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*j + 8, 3*j + 82*m - 83*m - 9 = 0. Suppose 7*d + 60 = 2*d. Let s be ((-1)\/2)\/(j\/d*2). What is the third biggest value in -3, -6, -5\/4, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*((((a\/(a*a**(-5\/2)))\/a)\/a)\/a)\/a*a*a*a*a*a*a)*(a**20*a)\/a*a*((a\/a**(3\/4))\/a)\/(a\/((a\/((a\/(a**(3\/5)*a))\/a)*a)\/a)) assuming a is positive.\nAnswer: a**(347\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8*u - 132897 = -22*u. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 205 - 75. Suppose 9 = -d*n + 12*n. What is the second smallest value in 5, n, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 431916283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 + -110. Suppose 5*g - 30 = 65. Let o(x) = -g + 11 + f + 3*x**2. Let t(d) = 3*d. Determine o(t(a)).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9962887 divided by 2\nAnswer: 9962887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11338 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*j - 24, 5*c - 3*j = 14 + 11. Suppose c = -2*q + 12. Let y(w) = 2 + 9*w**2 - 4*w - 8*w**2 - 2*w + 4. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*n = 1 - 3566 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 c when four letters picked without replacement from nncppcpcccccxvp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*n - 6 + 1995*n**2 + 178*n - 65*n - 47*n as a + z*n + j*n**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**9\/56 - v**5\/12 + 8*v**2. What is the third derivative of f(c) wrt c?\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070482111 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/6*2)\/(9447\/335). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2307*k + 54555. Give y(24).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2675*g**4 + 2*g**2 - 128*g - 4. Let v(o) = 5350*o**4 + 3*o**2 - 258*o - 7. Let j(n) = -10*u(n) + 6*v(n). What is the third derivative of j(x) wrt x?\nAnswer: 128400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*j - 408*j = -10869 - 30885. List the prime factors of j.\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000187095924 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 10*m + 6. Let r be v(-8). Let i(y) = -y - 2*y**2 - 14 - 8 + r. What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:05 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 107175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 51. Let g(a) be the first derivative of 0*a**3 + 0*a**5 + n - a**2 + 0*a**4 - 1\/3*a**6 + 0*a. Find the second derivative of g(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253711 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 8*a - 3. Let c be (-7 + 4\/1)\/1. Let d(m) = m**2 - 1. Let x(z) = c*d(z) + t(z). What is x(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/105076?\nAnswer: -1\/105076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-387)\/(-1806)*(-12)\/(-108)*210.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1663 + 1643.956. Let k = b + 19. What is k rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*a + 34, -44 = -5*a + a + 4*j. Let c be a\/((-2)\/4*-4). Let u be 4 - 1 - 1\/1. Solve -u*y + 2 = -c*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 21*j + 18. Let g be d(-9). Put g, -4, -1, 5 in increasing order.\nAnswer: g, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (87\/(-15))\/(3\/(-15)). Let i = a - 5. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*b + 7, 5*b + 4 = 2*a - 1. Suppose -j + 62 = a*g - 51, 0 = -2*g + 10. Suppose j = 4*q - 0*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 7*g - 178. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241792 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {w: 2, j: 5, p: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 5*h**8\/336 - h**4\/24 - 8*h**2. Find the second derivative of y(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 + 45*s**4 + 48*s**3.\nAnswer: -3*s**3*(s - 16)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 223, 0.12, 1, -19 in decreasing order.\nAnswer: 223, 1, 0.12, -0.5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m*y**4 - 6*m*y**3 + 16*m*y**2 - 915*m + 3*y**4 - 13206*y**3 wrt y?\nAnswer: -96*m*y - 36*m + 72*y - 79236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-27)*p*(p**28*p)\/p*p*(p**5\/p)**(-15) assuming p is positive.\nAnswer: p**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -41. Solve 0 = -m + 3*m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 44. Calculate j(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 728 or -1\/3?\nAnswer: 728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 65975764 to the nearest 100000.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/8 - 0 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 276*a + 1048. Calculate z(88).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230*v**4*x - v*x - 11*x - 6 wrt v?\nAnswer: 920*v**3*x - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.428 and -10.9.\nAnswer: -11.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 i, and 1 y when four letters picked without replacement from kkjjkkkeekijjykjkkkk?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 - -393. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -80. Let y be (-354)\/m - 3\/(-12). What is the remainder when 20\/y*153\/6 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21 + (-6 - -7) - 1. Which is the biggest value? (a) -0.2 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 2, f: 1, h: 1, v: 1, x: 1}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 4228391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + 1. Let t = -5.2 + w. Is 3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(-2 + sqrt(2)) - 4*sqrt(648)\/sqrt(9).\nAnswer: -21*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329\/19 - 3037\/171. Let o = -2.9 + 3. Let p = -29 + 173\/6. Which is the second smallest value? (a) o (b) -1 (c) f (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a meter in centimeters?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*k - 3652 - 24908. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3002773 divided by -53\nAnswer: -3002773\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 - -0.06. Suppose -2*n = 6 + 2. Which is the closest to -1? (a) s (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 77\/4 (c) 2\/7 (d) 1 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53.1 + -16.2. Let s = -37 + f. Which is the second biggest value? (a) 14 (b) 3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 962, 1878, 2746, 3566?\n\"Answer: -24*d**2 + 988*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r - 1\/12*r**4 + 0*r**2 - 1\/2*r**3 + 3. Let k(l) be the first derivative of v(l). Find the second derivative of k(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 6*i**2 - 5*i + 11. Let d = -19 + 24. Let u be w(d). Solve 5*c - 26 = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -833, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**2 - 2*a**2 - 9 + a**2 + 0*a**2. Let n(w) = -17*w. What is -6*n(t) - 26*z(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efuqewwx. What is prob of sequence xqe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - -7. Let c be (-1 + (-1 - -3))*9. Let l = a - c. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26478 is divided by 852.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*v - 13. Suppose 4 = -5*u - 1, 3*z - 38 = 2*u. List the prime factors of (z\/(-15))\/(v\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 4?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-4)\/(-10))*-5. Suppose 5*b = -3*n + 47 - 12, 5*n = b - 35. Suppose 3*p + 4 = b. Solve d = 4*t - 5, -s*t = p*d - d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(484))\/(6*sqrt(200)*-1)*5 + 4.\nAnswer: -11*sqrt(2)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-0.17879\nAnswer: -0.07879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {j: 2, a: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.21 nanograms to milligrams.\nAnswer: 0.00000721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kavaqabtqvbbqv. What is prob of picking 1 t and 2 b?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -60*s - 1555. Let l be j(-26). Let z be 1*(0 + (1 - 1)). Solve z = -0*x - x + l*r - 27, -3*r = -x - 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -614 - -618. Let o(w) = -4*w + 1. Calculate o(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 27*q + 19 = r, 4*r + 4*q = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 2, 6.5, -1\/2, -5, 1038, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddssydyd.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -4, 2\/9, 0.2, -2\/5, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s*s**(-1\/5)*s*s**3*s*s**(2\/7)\/s*s)\/((((s**(-1)*s*s)\/s)\/s)**23*s**(-1\/2)\/((s**(2\/3)\/s)\/s)) assuming s is positive.\nAnswer: s**(5093\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c. Let g(u) = -47 + 47 - u. Determine g(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235360*t + 920888.\nAnswer: 235360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 1)\/(73\/186661)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -896, -1004, -1106, -1196, -1268, -1316, -1334, -1316?\nAnswer: -1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -29. Let m(t) = t - 1. Let i(r) = g(r) - 5*m(r). Let p be i(-7). Solve -6 = p*x - 13*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -258*o + 1565. Suppose -3*l - 9 = -5*u, -4*l + 4 = 4*u + 16. Let q(g) = -g**2 - g + 33. Calculate the remainder when q(u) is divided by v(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*j**2 + 59*j**2 + 51*j**2)*(-j**3 + 2*j**2 + j**3 - j + 7*j**3).\nAnswer: 623*j**5 + 178*j**4 - 89*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1077, 1134, 1229, 1362, 1533?\n\"Answer: 19*y**2 + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189290985 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11440\/300300)\/(64\/(-14))?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 6. Let c = -10 - -10. Let j(v) = -17 + c*v - v + 15. Calculate 11*j(q) + 4*z(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 18405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q**2 + 3*q**2 + 2*q**2 - 2*q**2 - q**2 + (-2 + 3 + 1)*(q**2 - 3*q**2 + 3*q**2) - 1 + 7*q**2 + 1.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 377587757\/1617 - 233511. Let k = d - 16\/147. Determine l, given that 38\/11*l + 42\/11*l**2 + k*l**4 + 12\/11 + 18\/11*l**3 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748*h - 5 = -749*h. Let m(u) be the third derivative of 7\/6*u**3 + 0 + 0*u + 2*u**2 + 2\/15*u**h + 0*u**4. Differentiate m(f) with respect to f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 + (-25)\/4. Let g be 2\/f - 10\/(-3). Suppose -4*l + 16 = -o, g*o - 8 = 4. Calculate the smallest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 119*u - 3468*u + 3349 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*v + 34. Let j = v - 114\/5. Let k = -17\/15 - j. What is the nearest to -1 in 4, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 + 2353752*a**2\/5 + 343695753*a\/5 + 2509095702.\nAnswer: -3*(a - 784730)*(a + 73)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17854 divided by 2231\nAnswer: -17854\/2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r + r)*(23 - r - 23)*(-9 + 15 - 9).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 2*b - 3. Let i(w) be the third derivative of -w**5\/60 - w**4\/24 - w**3\/6 + 21*w**2. Determine -4*i(l) + z(l).\nAnswer: 3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/187 or 1?\nAnswer: -16\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = 9. Suppose -4*d + 3*r + 16 = r, 0 = r + 2. Solve -2*w + z = -d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 24 + -24 + -3 + (0 - 10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -1) + (89 - (0 - -1)) - 12.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*x + 109, -x - 24 = -g - 2. Calculate the remainder when 7789 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*f + 89*f + 0*f**2 - 2*f**2 - 158*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 13*r**2 + 15*r + 4. Let x(b) = -b**3 - 7*b**2 - 5*b. Let m be x(-6). Let j = m + 18. What is the tens digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 170*c**2 - 5441*c + 43. Give n(32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-37)\/k**(-4\/11) assuming k is positive.\nAnswer: k**(-403\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13959337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/3 + 4\/3. Which is the second smallest value? (a) 62 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.3 + 20. Which is the nearest to 0? (a) 0.4 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -409 and -2.3.\nAnswer: 940.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4 - 0. Let r be -1 - ((-12)\/g)\/(-1). Solve 0 = -5*y + 2*d - 9, r = -2*y + d - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 75, 119, 167, 219?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 35 = 4*k - 34, 3*u + 27 - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -39. Let w = s - 23. Let y(x) = 2*x**2 - 9*x - 7. Calculate the least common multiple of y(w) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127294*c**2 - 21*c - 195.\nAnswer: -254588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (27 - 14 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3118.855 and 6743.\nAnswer: 9861.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 185.\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 48872399\nAnswer: -3\/48872399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 4*n - 36, -4*r + 53 = 2*n - 25. Suppose 16*v = 20*v - r. Solve v*j - 15 = -3*b, 0*b + j = b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 0.137 (c) -121964\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237 (base 13) to base 14.\nAnswer: 1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/36)\/((-3)\/459). Suppose 0 = -q - 3*l + z, l + 269 = 4*q - 0*l. Calculate the least common multiple of q and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 3412242444?\nAnswer: 3412242444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2161, -8700, -19701, -35158, -55065?\nAnswer: -79416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40397042 to the power of 1\/2, to the nearest integer?\nAnswer: 6356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.081734 rounded to 2 dps?\nAnswer: -15.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-8))\/(h\/((h*h\/h**(-7))\/h)) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -36. Suppose a + w = 5*a. Let y = 10 - a. Is 1 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 5*h**2 - 5*h - 32. Give n(-5).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((18\/15)\/3)\/(3\/15). Suppose 4*q - 3 = 5*q, 3*m = b*q + 45. Let u(o) = -18*o**2 + 30*o**2 - m*o**2. Let y(g) = -16*g. Determine u(y(h)).\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11046, 22108, 33186, 44280?\nAnswer: 55390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -2 + -4 + 1. Let m(n) = -2*n**2 - n**2 + n**2 - z + n**2 - n. Give m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u + 3. Let t = 16 + -23. Let q = -8 - t. Is q > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 96*c**3 + 189*c**2 + 94*c.\nAnswer: c*(c + 1)**2*(c + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*g**3 - 65*g**3 + g**2 + 4*g**2 + 1 - 12*g**2 + 5*g**2 as w*g + q*g**2 + c + t*g**3 and give t.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/511? (a) 3\/8 (b) 13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*-4*(-5 + 4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 1\/((-3)\/12). Let y(h) = -2*h**2 - h**2 + 2*h**l + 0*h**2. Let x(k) = 4*k**2 + 2*k - 1. Give -x(u) - 5*y(u).\nAnswer: u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.84858 - 2.12922. Let n = y - -35. Round n to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1017)\/678)\/((9\/(-12))\/((-172)\/8)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s + 6 = 48*s. Factor -38*x + 2*x**3 + 56*x - 19*x**s + 7*x**2.\nAnswer: 2*x*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m*t**3 - 30*m*t**2 + 32*m*t - 3*m - 784423*t**6 - 67*t**2 wrt t.\nAnswer: 24*m - 94130760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/60 + r**4\/12 + 7*r**3\/6 + 7*r. Let x(t) be the second derivative of p(t). Give x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6212835 and 252655290.\nAnswer: 757965870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12877617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 11*y - 24. Let x(f) = 3*f**2 - 33*f + 71. Let r(h) = 17*q(h) + 6*x(h). Calculate the smallest common multiple of r(12) and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -409 + 237. Let u = z - -337. What is the highest common divisor of u and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 + 14)\/(2\/(-5)). Suppose -5*z = 2*l + 10 + 9, 0 = p*z + 15. Let y be l\/(-8) - 60\/(-16). Put -2, 2, y in increasing order.\nAnswer: -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327\/19 + 7559\/437. What is the smallest value in -3\/2, -0.05, u, 1\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 64. Let n be k(22). Which is the nearest to -16? (a) n (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2ca (base 14) to base 15\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 22 + 2 = 0. Let j(f) = 5*f - 7. Let k(d) = 4*d - 8. Let v(i) = n*j(i) - 3*k(i). Let l be v(4). Calculate the highest common divisor of 42 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(75\/120)*1\/4. Suppose 12*y = s*t + 7*y - 1939, -5*t + 4863 = 3*y. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13125009099 - -146?\nAnswer: -13125008953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 648481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.5. Let d = -0.43 - g. Let u = d - 2.07. Which is the closest to -0.1? (a) u (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -7*m**6\/300 - 22*m**5\/75 - 5*m**4\/4 - 6*m**3\/5 + 22*m**2. Factor r(x).\nAnswer: -2*(x + 3)**2*(7*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 3\/5, 0.2, 2\/7, 0.14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*2*(-6)\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6753*d**2 + d - 2563 wrt d?\nAnswer: 13506*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.52 + 5.5200000128. Round f to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7\/6, -0.4, -7, 21 in descending order.\nAnswer: 21, 4, -0.4, -7\/6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21744413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-46)\/10 - -4) + (-3277376)\/(-160) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 0. Which is smaller: x or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -107. Suppose 2*w = 6*y - y + 199, -4*w + k*y = -373. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*p - 19843 + 5344, -5*t = 3*p - 24165. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 16, h - 99 = -2*a - 111 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -60, -620, 4.\nAnswer: -620, -60, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 19. Is 2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/1470 + q**6\/70 + 37*q**5\/420 - 5*q**4\/28 - 100*q**3\/21 + 39*q**2 + 48. Find y, given that g(y) = 0.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 8:18 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813761699.\nAnswer: 67, 79, 153743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*i = -5 - 17, 3*z - 9 = -3*i. Let t be -2 - 0*2\/4. Let h be (t + 1)\/(-1) - -3. Solve -m + 4*m + 7 = z*x, 4*m - 2*x = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7409421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41073, 40937, 40711, 40395, 39989, 39493, 38907?\n\"Answer: -45*b**2 - b + 41119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*t - 183*t = 184*t + 90. What is the remainder when 117 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.039, -0.3, -1.6, 1 in increasing order.\nAnswer: -1.6, -0.3, 0.039, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 5 - -4) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5) + 3\/(-1). Let k be 15*t\/3 - -3. Let i = -10 - k. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -2\/1513?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 90*u - 50. Let y be (0\/(-1))\/(2 - 1). Solve z - 5 + u = y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257544*38\nAnswer: 9786672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 40. Let a = -36 + v. Let c = a - -27. What is the second biggest value in c, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2332124 - -23?\nAnswer: -2332101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - -2. Let g = -25 + k. Suppose 4*t = -3*t + g*t. Solve t*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-7))**(-40) assuming x is positive.\nAnswer: x**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*b + 1727 = 377 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189232755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 9*j + 52. Calculate the lowest common multiple of d(8) and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67 - 2097363?\nAnswer: -2097430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 37*y - 243. What is u(-9)?\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4251, -4301, -4351, -4401?\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, h: 7}. What is prob of picking 2 x and 2 h?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64a7 - -284?\nAnswer: -6223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3412, 1307, 6022, 10733, 15440?\nAnswer: 20143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 14*n + 10. Let j(w) = -57*w - 39. Let y(p) = 21*a(p) + 5*j(p). Suppose 4*l = 2*l + 16. Let t(g) = g + 0 - 6*g - l. Calculate 11*t(f) + 6*y(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2033 or 3\/302?\nAnswer: 3\/302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -6. Let h(u) = -2*u**2 + 36*u + 6. Let l be h(16). Let x = 100 - l. What is the greatest common factor of c and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 12*z - 2*z. What are the prime factors of 67 + (z - 4) + 5?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-210)\/45 + 3\/(-9). List the prime factors of (-282)\/(s - 18\/(-6)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738 + 763 - 3586*s + 10377*s.\nAnswer: 6791*s + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 144558185 = -68*t - 46*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5724*k + 1196314. Give j(209).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 (base 15) in base 16?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57204601.\nAnswer: 57204601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/15188 and -109\/6538434.\nAnswer: 13076868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - 2.465. Let c = -18877.935017 - -18878. Let i = c + k. What is i rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3956\/168)\/(-43) + (-2)\/7.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j**5 + 440*j**4 - 1472*j**3 - 31872*j**2 + 9216*j = 0 for j.\nAnswer: -12, 0, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -14*l - 17. Calculate m(-11).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 36*q**2 - 413*q - 8. Let f be o(12). What is the greatest common factor of 70 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*u + 68255, 4*u + 78889 = 5*y + 10664. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 421*y - 8. Let b = 103 + -102. What are the prime factors of n(b)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*t + 6 + 9, 3*t + 15 = -3*q. Let m = q - 0. Let 1 - o + m*o**2 - o**2 + 1 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(304)*4 - sqrt(304))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**22*w**(-20)*w assuming w is positive.\nAnswer: w**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Factor p + 5*p + 4*p**4 + 18*p**r - 10*p**4 - 15*p**3 + 15*p**2.\nAnswer: -3*p*(p - 2)*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 456*c + 12996.\nAnswer: 4*(c + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551842646 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10675 and 61250.\nAnswer: 3736250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 - 7*y**4\/2 + 12*y**3 + 7*y**2\/2 - 49*y\/4 = 0. What is y?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 - 466*u**2 - 268*u + 3972. Determine g(117).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(159*g + 47*g - 62*g)*(-6 + 2 + 2)*(1 - 4 + 2)*(0*g - 2*g - g) in the form q + f*g**2 + l*g and give f.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*h**2 + 166 - 166)*(96*h**2 - 2*h**2 - 25*h**2) as o + k*h + s*h**4 + p*h**2 + w*h**3 and give s.\nAnswer: -1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(9072))\/(sqrt(9) + (sqrt(9) - sqrt(225)*-1)).\nAnswer: -36*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/5, 1042, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 140, 307, 540?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/5 + 92*h\/5 + 816\/5 = 0 for h.\nAnswer: -34, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -111364.292298 and 2.\nAnswer: -111362.292298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z + 119. Calculate the remainder when o(-16) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077512 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2321*b**3 - 1203*b**3 - 1277*b**3.\nAnswer: -159*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + 3*sqrt(100))\/sqrt(2))**2 + (-2 + sqrt(50)*-3 - sqrt(50) - sqrt(50)) + -2.\nAnswer: -25*sqrt(2) + 796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2.844?\nAnswer: -5.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305\/944 + -126\/59. Find the common denominator of 117\/310 and n.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*s**2*x - b**2*x + 771*b**2 + 179983*b*s**2*x + 11*b*s*x - 2*b*s - 2*s**2 - s*x - x wrt s.\nAnswer: -2*b**2*x + 359966*b*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/491, -6, -921, -3?\nAnswer: 2\/491","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31011 and 10236.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-6))\/(-1)*6\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -4067*f**4\/12 + 1848*f**2 - 2*f + 3216. What is the first derivative of i(k) wrt k?\nAnswer: -8134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2. Let l(a) = -3*a + 1239. Determine l(b(d)).\nAnswer: -15*d**2 + 1239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59224739 to the power of 1\/2, to the nearest integer?\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67516721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 47a?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2860 (base 10) to base 7\nAnswer: 11224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117902508 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = 5*f, 2*o + 68 = 2*f. Let n be 0 + (-3)\/o*-2. Let s = -1.5 - -2. Which is the biggest value? (a) -0.5 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 3*p - 3. What is the remainder when (-5 + 4)*6 + 28 is divided by b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -78. Suppose 9 = d*c - c. Solve 5*i + 2*z + 24 = 0, 14 = c*i - 8*i + 3*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 2*b**2 + 0*b + 5\/66*b**4 + 25\/33*b**3 + 6 + 1\/330*b**5. Factor f(g).\nAnswer: 2*(g + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnj when three letters picked without replacement from {j: 7, x: 4, n: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**4\/24 - 7*r**3\/6 - 2*r**2. Let k be g(-8). What are the prime factors of (k\/(-2))\/((-4)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -51874.49 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -5\/6 (c) 1\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1030 and 61285.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110011101111000000010010 + -11?\nAnswer: 101110011101111000000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20020 (base 3) to base 14\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/(-4) - (-24)\/(-32). Suppose 3*a + 129 = 3*w - i*w, -32 = a - 3*w. Let r = -22 - a. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3996 + 3995.8. Which is smaller: z or -0.763?\nAnswer: -0.763","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1265 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 4)*(-4 + 1 + 1)*(y + 2*y + 0*y)*(-y**3 - 2*y**3 + 4*y**3).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -34. What is the units digit of 6\/4*o\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7224\/(-9976)*(-406)\/3?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -842 (b) 8.8 (c) 2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4555384 is divided by 567?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-9 - (-145)\/15)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*j + 2*j + 38, -5*j = 5*q - 170. Find the third derivative of -j*i**5 - 12*i**2 - 9*i**2 + 43*i**5 wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 103*o**3 + 42*o**3 + 266*o + 680*o**2 + 76 + 139*o + 225*o**3. Let z(b) = b**3 - b**2 + 1. Let u(w) = i(w) + 5*z(w). Factor u(s).\nAnswer: 3*(5*s + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 302 - 135. Suppose 32 = -5*c + l. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 4*l**2 - 6*l - 6. Suppose -o = -x - 1, 32*o = -4*x + 27*o - 22. What is i(x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.953474 decades in centuries?\nAnswer: 0.1953474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2507, 1, 0, 4 in increasing order.\nAnswer: -2507, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 + -132. Let n(h) = -12 + 5*h + 0*h + h**p - 13 + 3. Let l be n(3). Solve 2*b = 8, l*i + 3*i = 3*b - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002623511 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and -27.\nAnswer: -26.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1330413243?\nAnswer: 1330413233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -2. Let o(v) = v**3 + 9*v**2 - 9*v + 10. Let k be o(y). Is k\/5 - (-126)\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3055.\nAnswer: 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -64, -22, 8, 5 in increasing order.\nAnswer: -64, -30, -22, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 60. Let z = m + 46.9. Let t = -1.5 + -5.5. What is the nearest to t in 4, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2298.6 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*h**3 + 63*h**3 - 274*h**3 - 38*h**3 + 100*h**3.\nAnswer: -279*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + (-36654)\/4)*(-41 + 23 + 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 109*m**3 - 28*m**2 + 5*m + 26. Let q(k) = 55*k**3 - 13*k**2 + 3*k + 12. Determine 6*a(h) - 13*q(h).\nAnswer: -61*h**3 + h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96363, -192727, -289091?\n\"Answer: -96364*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873382337 a multiple of 3009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16475 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -135. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114250 + 342507 - 114166 - 114197 + 4*j**3.\nAnswer: 4*j**3 - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87303.\nAnswer: 3, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524729448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 18352*o**3 - 17850840*o**2 + 7434722000*o - 402725810500 = 0. Calculate o.\nAnswer: -2455, 65, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 1*(-1 + 0). Let c = -1 - -6. Suppose 0 = -c*v - k - 21, 3*v + 3 = v + h*k. Which is smaller: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 64488036.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by -1843183?\nAnswer: 135\/1843183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 13*i**5\/5 - 5*i**4\/4 + 470*i**3 - 2572. What is the third derivative of f(r) wrt r?\nAnswer: 312*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1095*f**5 - 9*f**2 + 52 wrt f.\nAnswer: -65700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 9:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let o = -4 + 8. Which is the closest to f? (a) 2 (b) o (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 + 6*p**2 - 3*p + 4. Let k(v) = -4*v**3 + 7*v**2 - 4*v + 3. Let s(o) = 6*o + 10. Let w be s(-2). Let z(c) = w*u(c) + 3*k(c). Factor z(d).\nAnswer: -(d - 1)**2*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 - 5 + 15 - 914*z)*(-16 + 45 + 14) to the form a + l*z and give l.\nAnswer: -39302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 18 - 53 = 0. Put x, 11, -3 in descending order.\nAnswer: 11, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2 - (-2 - -1)) + 1 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 + 21 = -7*f. Suppose -2*h + 0*h - 3*p - f = 0, 2 = -2*h + p. Is -15\/8 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*k + 487*k = -10 + 1063 + 1523 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.07 times -92\nAnswer: 98.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203225310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5347 - 5343. Let d(v) be the third derivative of 0*v**s - 8*v**2 + v**3 + 0*v + 0 + 1\/6*v**5. What is the first derivative of d(n) wrt n?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (45 - -2) - 2. Let v be 72 + (0 - -3 - 7). Let r = v - b. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7144\/1309 or 5?\nAnswer: 7144\/1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 0. Let h = 6 + x. Let w = 7 - 3. Sort h, w, -2\/9 in descending order.\nAnswer: w, h, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.2 + -50.2. Which is the second smallest value? (a) v (b) -0.2 (c) -1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304395856*v**4 + 49*v - 2939346?\nAnswer: 3652750272*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*i + 13*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38397*d**5 - 188461*d**2 wrt d.\nAnswer: -2303820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2657771 divided by -2657771?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 61. Let x = h + 42. Suppose s - x = -m + 52, -46 = -m + 5*s. What is the smallest common multiple of 10 and m?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*p**3 + 473*p**3 - 1330*p**3 - 1407 wrt p.\nAnswer: -2316*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/22 and ((3\/80)\/((-1)\/6))\/(2304\/(-4080))?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 + 5*y**2 - y + 1. Let w(h) = -h**3 + 1. Let f(m) = -d(m) + 4*w(m). Let c be f(-5). Let o be -4*(c - 10\/(-4)) - -5. Solve -b = -0*b - o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1382643302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/24 + 11\/8. Let i(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + h*l**4 - 2*l. Solve i(b) = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -628, -282, -4, 4 in ascending order.\nAnswer: -628, -282, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqee when four letters picked without replacement from qeeqe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4913933014 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, v: 1, u: 2, r: 2, h: 1, m: 5}. What is prob of picking 1 e and 1 r?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051318, -2102717, -3154116, -4205515?\nAnswer: -5256914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k + 115. Let s be u(-6). Let y be 1\/((-1856)\/(-1854) - s). What is y rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 146*u**2 + 16 - 91*u - 54*u**2 - 31*u**2 - 46*u**2 + 12*u. Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let r be (10 + -11)*(1 + 99). Let i = -100 - r. Solve -n - q*x = 4*n - 17, i = -5*n - x + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*1*(-9624)\/(-179648)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = 0. Let x = 2 + -2.5. Which is the nearest to d? (a) 1 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4))\/i*i*i**(3\/7))\/(i**(2\/13)*i\/(i\/(((i\/(i\/i**(1\/8)*i)*i*i)\/i*i)\/i))) assuming i is positive.\nAnswer: i**(-2075\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (0 + -2)*10. Let w(j) = n*j - 2 + 14 - 21*j. Give w(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0 + 6*h - 4\/3*h**3 + 0*h**2. Let d(y) = -y**2. Calculate q(d(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -2*z. Suppose 21 = -3*d - 5*t + 3, -d + 2*t + 5 = 0. Let i be d*(14\/(-4))\/(-7). Is i greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + -12 + (3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(2592) + 0)*-5)**2 - (3 + 2*2*sqrt(18))**2) + 2).\nAnswer: -322525 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225006394805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1202 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/(-418)*(126\/12)\/7?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 5, 30, -2\/3, 8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1124970 and -67\/2772.\nAnswer: 6749820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 180486*j**2\/5 - 829557078*j + 681595800130.\nAnswer: -2*(j - 44695)**2*(j - 853)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - b - 1128 = 0, 3*m + 5*b - 2*b = 666. Suppose -3*i = -m - 117. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 435 = -5*z, -2*f + 144 = 5*z - 15. Let d = 24 + -14. What is the units digit of (-2)\/d - f\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -800*b**2 - 158*b**2 - 10*b + 6 + 8*b - 2 as j + r*b + w*b**2 and give w.\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49913 is divided by 3556.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m*m**(-5\/2))\/m)\/m*m**(2\/3)*m)**29\/((m**(-1)\/m**5)\/(m**(2\/7)\/m)**(7\/5)) assuming m is positive.\nAnswer: m**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 7. Let a(i) = -i**3 - 5*i**2 - 5*i - 2. Let b be a(-3). Let q = b + 6. Calculate the remainder when r(8) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w - 234099295 - 749740705. Round w to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l - 12. Let k be q(2). Let n(j) = -3 + k - 1. Let t(w) = -w - 5. Let h(f) = -3*n(f) - 4*t(f). What is h(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 11*w**2 - 5*w + 1 - 6. Suppose -2 - 2 = 2*j - 4*i, -2*j + 2*i = 6. Let c(q) = -3*q**2 - 2*q - 2. Give j*o(m) + 11*c(m).\nAnswer: -m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*t - 225*c**2*w - 2*c**2 + 256*c*t*w + 2*c*w + 4*c - 82*t wrt t?\nAnswer: c**2 + 256*c*w - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36752 + 2?\nAnswer: -36750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 49 = -5*b, -m + 5*b = 2*b - 9. Let o(p) = 3*p**2 + 52*p - 75. Let k be o(-19). Solve -20*s + m*s = -k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*h**2 - 19 - 5*h**3 + 128*h**2 + h**3 - 2*h + 144*h**2 to d*h + z*h**2 + j*h**3 + i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 - -c?\nAnswer: de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/80 and 111\/7520.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 9 = 3*z. Let d(m) = -33 + 32 + 0*m - 3*m. Give d(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, x: 4}. What is prob of sequence oxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9623362 centimeters?\nAnswer: 9.623362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40040041426 + 1\nAnswer: 40040041427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3 = -3*c, 5*a - 10 = 4*c - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 5, q: 4, j: 2}. Give prob of sequence ht.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211475630 to the power of 1\/3, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (-24 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-4)*(19 - 7). Let b = r + -28. Let l = -2 + b. Solve -l*k + a + 17 = -a, -a = 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -7. Suppose -3*j - 17 = k*v + 3*v, 5*v + 5 = 0. Let b be ((-9)\/(-6))\/((-7)\/14). Is b bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000536597 to 7 dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*((-34)\/17 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 15 = -25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2015 = 2*m. List the prime factors of m.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-81)\/12)\/9 + 11\/4. Let z(q) be the second derivative of 0*q**2 - 1\/12*q**4 + 1\/20*q**5 + 1\/6*q**3 + 0 + q. Calculate z(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2462, -4904, -7318, -9692, -12014?\n\"Answer: 2*g**3 + 2*g**2 - 2462*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {n: 2, d: 1, q: 3, r: 1, w: 5, o: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*l - 133*l - 667 + 32*l + 35*l to q*l + n and give n.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15099*l = 1279177 + 465357 - 53446 for l.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1\/10 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -76 + (-1290 - -1378)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 390. Let n be (-2)\/8 + z\/8. Suppose 2*g = 2*f - n, 3*f - 2*g = -6*g + 45. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k - 84. Let m be c(-10). Suppose -6 = v - 2*v + 4*h, 8 = -3*v - h. Put 0, v, m in descending order.\nAnswer: 0, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 10, 2*n + 0*r + 3*r + 185 = 0. Round n to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjgccaacccj. Give prob of picking 1 a, 1 c, and 1 j.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002487 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 6*v**2 - v - 2. Let t be w(-6). Let j = -5.3 + 5.5. Which is the third biggest value? (a) j (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/4 - 3*d**2\/2 - 3*d. Find x, given that c(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1143 - -0.0173. Which is smaller: k or 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 375118134.3 - -1.7\nAnswer: 375118136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7023 - 7023. Let s(n) = -21*n**2 + n - 4. Determine s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16197 + 64*k + 7*k - 15*k - 16200 - 231*k**2 wrt k?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/28*(-244)\/(-20) and -75\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -4226.3\nAnswer: 67620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 5*l + 29, -5*l - 31 + 8 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**7)**16\/((q*q\/((q*(q*q**(-8))\/q)\/q*q))\/q**(6\/5)) assuming q is positive.\nAnswer: q**(-519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402 - 432. Let f be -3*4\/h*(1 + 4). Solve 0*u = -f*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002514 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6839895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -363*d + 3672. What is the remainder when b(9) is divided by 247?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8651114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, i: 1, q: 1, o: 1}. Give prob of sequence gq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-14)\/6 + -2. Let s be p - 4 - (-217 - -1). Let c = 14243 + -14212. Calculate the highest common factor of c and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*15\/80*(-8)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 40. Let g = 33 + p. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 9248640*z = 0. Calculate z.\nAnswer: 0, 3082880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 1270803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/7)*c)\/((c\/(c\/c**(-16)))\/c)*(((c\/(c*c*(c\/(c*c**(-11)*c))\/c*c))\/c)\/c)**(-17) assuming c is positive.\nAnswer: c**(1678\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3. Let h(m) = 2*m - 56. What is -4*f(k) - h(k)?\nAnswer: -2*k + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -244, -761, -1760, -3403?\n\"Answer: -27*t**3 + 2*t**2 - 14*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -2592.\nAnswer: 5\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21681072 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4602 divided by 6\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*d - 8736 = 406*d + 286*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 + 6 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1637, -6505, -14627, -26009, -40657, -58577?\n\"Answer: -o**3 - 1621*o**2 + 2*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-110)\/(-33)*45\/2 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 10:21 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85797972943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, t: 3}. What is prob of picking 1 t and 1 r?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 9*a - 7. Is s(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(14)\/sqrt(2)) + 0 + sqrt(14)\/sqrt(2)*-2)*5 + sqrt(42)\/((sqrt(216)\/sqrt(4))\/sqrt(9)) + -5.\nAnswer: -9*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*2*-6 - -6*(4 + sqrt(80))**2 - (1 + (sqrt(45)*2)**2 - (((sqrt(20))**2 + sqrt(5))*-6 + 1)).\nAnswer: 90*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 minutes after 4:33 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y. Let h be ((2 - 4) + 12)*-1. Let q be (-1256)\/h + 4\/10. Let c(w) = 2*w - 128*w**2 - 2*w + q*w**2. Calculate c(f(k)).\nAnswer: -1058*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3500 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1171324\/5 + -234262. Suppose k*z - 16\/5 + 2\/5*z**2 = 0. What is z?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 - 5*z - 4. Suppose -7*i + 3 = -18. Suppose 9 - 15 = i*r. Let f be o(r). Solve 5 = -3*n + f*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let r be (z\/2)\/(6\/56). Suppose 2*f + 0*p - p = -1, p = -3*f - r. Let h(l) = l**3 + 4*l**2 + 4*l - 1. Determine h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007814997 to six dps.\nAnswer: -0.000781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**7\/8820 + k**6\/3780 + k**5\/630 - 4*k**3 + 18. Let v(i) be the third derivative of t(i). Solve v(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0884*13963.\nAnswer: 15197.3292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f - 63. Let p(t) = -t - 9. Let v(o) = -4*g(o) + 27*p(o). Let r(m) = 2*m - 9. Let n(b) = 4*r(b) + 3*v(b). What is n(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111134?\nAnswer: 2, 181, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 75191841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 10*z**2 + 10*z - 22. Let d be q(-9). Let r = d - -10. Is 6 a factor of r*(3 - 204\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21261821.\nAnswer: 7, 23, 41, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:45 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:03 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2370)\/66 + 10 - -27.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 100*w + 3. Let b be a(-2). Suppose 0*z - 1918 = 14*z. Let y = z - b. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z**3 - 2 + 2 + (2*z**2 + 0*z**2 + z**2)*(2*z + 5*z - 5*z).\nAnswer: 5*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 + -738. What is b rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -1084, -1554, -1984, -2380?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 28) + -3 + 1 - (27 - 23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1071, -1886, -2731, -3636, -4631, -5746?\nAnswer: -7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y + 12. Suppose -5*g + y = -w, -3*w - 5*g = -8*w + 80. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9.7 (b) -0.3 (c) -510 (d) 0.2 (e) -4 (f) 2 (g) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -54*w**2 + 315*w + 12. Let p(k) = -112*k**2 + 629*k + 22. Let d(j) = 11*n(j) - 6*p(j). Find the second derivative of d(i) wrt i.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let s(m) = m + 3. Let d(b) = -3*g(b) + s(b). Suppose -67*i = -66*i - 367. Let x(c) = -749*c**2 + i*c**2 + 371*c**2. Give d(x(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.03.\nAnswer: -2.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 346 - 229. What is the highest common divisor of s and 747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/5*(-4 + -1). Suppose -o = -0 - 1, b*l + 12 = 4*o. Let f(p) = -1 - 3*p + 1 - p. Determine f(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + 50 + (-259116)\/2444?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2*(sqrt(128) + 1))*-1 - (5*(sqrt(288) + 0))**2.\nAnswer: -7198 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1921453.\nAnswer: 3842906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10133 + -37753. What is the thousands digit of -1*3\/15 + x\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2. Let w = 39 + -18. Suppose 4*y - 12 = 3*x - 4, 0 = -x + 5*y - w. Let o(b) = 5*b + 0*b - x*b. What is o(r(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4413 + 6191 = 204*j + 2149 - 3989 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 75. Let t = -19 - a. What is the remainder when 58 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 - 231*y**4 - 2237*y**3 - 5985*y**2 - 3978*y = 0 for y.\nAnswer: -221, -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5616 + 1391 = -13*q. Let t = q + -436. Is t greater than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52112 - 18963. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -19.5, -4\/3, -852, -24?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.1. Let w be 3000\/27 + 4 - -1. Let p = 116 - w. Sort -4, p, d in descending order.\nAnswer: d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)\/(4\/(-16)). Suppose -4*d + 4 = -n*d, 4*d = 3*x - 13. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100 (base 3) to base 10.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/5 - 32*s**4\/15 + 16*s**3\/5 - 4*s**2\/5 - 22*s\/15 + 4\/5 = 0. What is s?\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7301280 by 1043040.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - 5*s**2 - 3*s**2 + (-8*s**2 + 57*s**2 + 73*s**2)*(12 - 6 + 1).\nAnswer: 847*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 65 = 184 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 468583 divided by -6\nAnswer: -468583\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/((-2)\/4). Let x = -27 - -20. Let n(c) = 5*c + 2. Let i(a) = 2*a + 1. Let j(y) = x*i(y) + 3*n(y). Let p(w) = -5*w + 4. Give d*j(q) - p(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 4. Let m be k(6). Solve g = m*p + 13, 0 = -3*g - 4*p - 12 + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.2 (c) 1\/74 (d) 2595\/4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 11*x**2 + 22*x**2 - 11*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 - 2*x + 74. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 232154345?\nAnswer: -232154341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 2. Let y(n) = 16*n + 9. Give 6*l(h) + y(h).\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1075 + 1155. Which is greater: c or -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 2:19 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -559*g - 7331. What is the remainder when p(-14) is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 24443*x**2 + 122236*x + 97792.\nAnswer: -(x - 24448)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coq when three letters picked without replacement from olfwloqlowfc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:58 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -481.67671 to one dp.\nAnswer: -481.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c + 14. Let o be (-4)\/((-11)\/22*(-4)\/(-50)). Suppose -w - o = -5*b + 17, -4*b = -w - 94. What is the remainder when b is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d - 0. Suppose -d*l + 6*l = 3. Suppose 0 = s - 23 - l. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**5\/40 + 3339*d**4\/32 - 139*d**3 + 10950. Suppose c(p) = 0. What is p?\nAnswer: 0, 1, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10608 by 624.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 9136*y**2 + 9915150*y = 0 for y.\nAnswer: 0, 1775, 2793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from zndzqiid?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7252 by 736.\nAnswer: -1813\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 75 = 5*k, 185*k + 216*v = 217*v + 1855 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**2 + 275*r - 1056. Calculate b(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34059 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 117 = -4*i - 2*y, 0 = -3*y + 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 69*p + 8 - 4 + 3.\nAnswer: 69*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**2*y**4 + 366*x**2*y**3 + 17*x**2*y + 33*y**2 wrt y.\nAnswer: 72*x**2*y + 2196*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370\/9 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73870, 74085, 74302, 74521, 74742, 74965, 75190?\n\"Answer: o**2 + 212*o + 73657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(-6*p - p + 5*p) + 84 - 85*p - 84)*(0*p + 0*p + 5*p).\nAnswer: -445*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.03874 + 0.03874. Which is the third biggest value? (a) 1 (b) q (c) 0.5 (d) -0.46 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (152\/(-133))\/(2\/(-7)). Let x(l) = 10 + 0*l**2 - 2*l**2 + q*l - 14 + 9. Let o(i) = -i - 1. What is -5*o(z) - x(z)?\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 0)*-2 + sqrt(1008) - ((sqrt(28)*2)\/sqrt(4) - (sqrt(7)*2 + 3)))**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -107, -4, 0, -23 in ascending order.\nAnswer: -107, -23, -11, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 24 = -4*y + 602, -4*q + 2*y = -506. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -616 + 616 - 3*m**2 - 42*m as y*m + f*m**2 + h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 2*i - 3. Let l = 5 - 2. Let w be b(l). Let o be (-6)\/(-3) - (-12)\/(-4). Are w and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029568 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**4\/8 - 4*c**3\/3 + 3*c**2\/4 + c - 380. What is m in v(m) = 0?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388761 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -7.2?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2395.089218 to 0 dps.\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahjljlaltljhattl. What is prob of sequence jha?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/29 or 0?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -312*o + 312*o + o**2 + 27 in the form l*o + s + h*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) - ((sqrt(27) - (sqrt(27) + 2)) + sqrt(3))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -16*v**3 - v**2 + 3*v + 3. Let h(n) = -5*n**3 + n. Give -6*h(d) + 2*q(d).\nAnswer: -2*d**3 - 2*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.708 - -495.708. Which is greater: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 + 359*w**2 - 1424*w + 1420 = 0. What is w?\nAnswer: 2, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416400 (base 8) to base 12.\nAnswer: -68194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, e: 4, l: 3, i: 4, t: 1, p: 6}. What is prob of picking 3 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u - 15. Suppose -6*l = -5*l - 5. What is the units digit of t(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60758*22\nAnswer: -1336676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39153522 to the nearest integer?\nAnswer: 6257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2928*o**2 - 13*o + 12. Suppose 0 = 10*b - 10 - 0. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o + 72. Let i = 17 + o. Let y(f) = f**2 + 3*f - 4. What are the prime factors of y(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234950 - -234952. Factor -15\/7*p - 1\/7*p**3 - 25\/7 + 9\/7*p**h.\nAnswer: -(p - 5)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141285.51573 + 141208.57. Let i = v + -0.03027. Let p = 77 + i. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1.6 (c) -4 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6476 + 18017. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -10*c**4 - 585*c**3 - 1405*c**2 - 270*c + 560 = 0.\nAnswer: -56, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 10*b - 53*b - 846 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*p - 27*p + 17*p + (-3 - 2 + 3)*(-3 + 3 + p))*(-p - 3 - 4*p + p) + 2 + p**2 - 2 in the form r*p**2 + f*p + a and give r.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*4 - (-5 + sqrt(19)*2 + -4)) + -1 + ((3*sqrt(76)*2)\/(6*sqrt(36)))**2.\nAnswer: 91\/9 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1860\/97 and -18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17332218 divided by -6?\nAnswer: -2888703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 0*x**2 + 7*x**2 + 128*x**3 - 265*x**3 + 130*x**3.\nAnswer: -7*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/18 - -3 - 79\/(-3). Let l = 37 - f. What is the remainder when l is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/8, 167, -8.\nAnswer: -8, 1\/8, 3\/4, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-13) - 44\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*w - 10. What is the remainder when w is divided by 3 + 0 - (-2)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2416 - -40375?\nAnswer: 35757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Let g be 3\/(r\/2 + 0). Let m be 0*(8\/g + -3). Solve m = 3*q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -9*x, 3*x = 495908*p - 495915*p + 79 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y - 42 = 0. Which is smaller: y or 22?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 8*f + 13. Let g = 16 - 25. Suppose 4*w - 5 = 3. What is the least common multiple of w and r(g)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63.4 times 16157\nAnswer: 1024353.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94885875*l**2*x**3 - 33*l*x**3 - 331*l*x**2 + 30*l*x - 3*l - 3*x wrt l.\nAnswer: -189771750*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175402314 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 70 + l - 73. What is i(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 35*i - 33907. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 32*g - 12. Let k be p(-31). Let v = 1 + k. Let y be -3*(-4)\/(-18)*-3. Solve y*a + v = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 260\/6 - (-8)\/(-24). Let a = s - 41. Solve -a*l + 5*x + 0*x = 8, 2*x = 2*l + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z)*(3*z - z + 0*z) - z**2 + 26*z**2 + z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346 and 24625?\nAnswer: 8520250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90 + 28*s**3 + s**2 - 174*s + 174*s wrt s?\nAnswer: 84*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333110 + -12?\nAnswer: -333122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 19 = j - 3*s, 0 = 3*j - s - 32. Suppose 0*u = -2*u + y + j, 3*u - 2*y = 11. Let k(w) = w**2 - 7*w + 2. What is the units digit of k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750 and 414055125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21511 to the nearest 100.\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -861031, -4\/5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-2)*(-3 - -1). Let m be 1\/(((-10)\/(-6))\/a). Determine n so that 0*n**2 - 1\/2*n**4 + 0*n + 0 + 1\/2*n**m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52779660 divided by -13194915.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245.9924 - -0.0076. Let p = d + -242. Let k = 0.3 - 0.3. Sort k, -5, 2, p in descending order.\nAnswer: p, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-13)\/(-5))*5. Suppose -5*u - 5*y = -60, 7*y - 2*y = 3*u - 52. Solve 0 = -d*b - 4 + u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220030 - -10?\nAnswer: 220040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/3200*-4)\/(45\/(-1950))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -127. Let z = 92 + p. Let k = z - 18. What is the highest common factor of 15 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsnsu. What is prob of sequence nnsu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(20) - sqrt(980)))\/(sqrt(576)\/sqrt(4)) + -5)**2.\nAnswer: 50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 56. Let d = -16 + 13. Put -4, d, q, 5 in descending order.\nAnswer: 5, d, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 69*k - 3. Let r be i(3). Let u be ((-2)\/4)\/((-6)\/r). Suppose 4*p = 131 + u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-13 - -20)) + 25\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -724.2 - -725.2. Is 72.9 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyydyyyyyydyyyyyyyd. Give prob of picking 2 d.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 7*a + 8. Suppose 10*o - 10 = 12*o. Let s(f) = -f**2 - 8*f - 9. Let b(r) = o*s(r) - 6*i(r). What is b(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.084 less than 518\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002263 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 43. Let l be q(30). Let k be (l + 3 + -7)*13\/39. Solve 34*s - 37*s = -k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -242, -5, 0.37, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:08 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((20\/(-15))\/2)\/((-2)\/12). Suppose 4*j + 16 = -x, -4*j = -x - y*x + 40. Suppose -x*m + 62 = -3*m. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 2495*o\/4 + 3747\/2.\nAnswer: -(o - 3)*(o + 2498)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 4) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 410\/125299?\nAnswer: 410\/125299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from {r: 7, w: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {z: 4, k: 6, a: 7}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*p)*(-49*p + 73 - 73) - p**2 - 4*p**2 + 3*p**2 - 1 + 1 - p**2.\nAnswer: -101*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*g = 28, -57 = 6*x - g - 76 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*117\/(-208)*-8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -36, -80, -132, -186, -236, -276, -300?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -185*k**2 + 83125*k - 26940.\nAnswer: -5*(k - 449)*(37*k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.413 minus -0.3?\nAnswer: -22.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 3. Let c = 6 + d. Let x = -18\/35 + 4\/5. What is the closest to c in x, 1\/2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*i = -20, -5*u - 4*i - 306 + 322 = -2*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 46*m + 49*m - 89*m. Let r(z) = -z**2. Give g(r(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 14*p - 50. Determine n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*z - 595*z - 3490 = -236*z + 306 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 38 = 3*x - 5*j, 4*x - j + 86 = 4*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 815\/2870 + 2\/(0 + -4). Let g be 290\/(-41) - -3 - -4. Let j = g - k. What is the nearest to j in 0, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 37*s. Let h(l) = -38100*l. Give u(h(k)).\nAnswer: -1409700*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u - 4. Let p be a(3). Solve 4*f = 2*g - p, 4 = -5*f - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.38, -0.1, 2\/9, -2\/15 in increasing order.\nAnswer: -2, -0.38, -2\/15, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 14. Let z = k - -58. Sort 1, 2, z, -2\/23 in decreasing order.\nAnswer: 2, 1, -2\/23, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40927019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 6:46 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:03 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092150536?\nAnswer: 2, 2113, 64609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*u - 23265*b**3 - 5*b**2*u - 27*b**2 - u wrt b.\nAnswer: 18*u - 139590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480 - 479.5. Let s be (2\/4)\/(19\/95). Which is the third biggest value? (a) s (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 = 2*c + 3, 5*d - 4*c = -2. Solve 4*z - 18 = -d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10*3)\/((-32)\/(-16))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 26.00159. What is p rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 8*y + 14. Let n be 4 + (-1)\/(-2)*4. Let j be d(n). Suppose 0 = 2*z + j*z - 32. Calculate the lowest common multiple of 4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.8, 18524.125?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.269 times -1702\nAnswer: -5563.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4916 rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 3*q - 2. Suppose -4*k + 152 = -8*k. Suppose 22*s + 82 = 24*s. Let z = s + k. What is h(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*sqrt(17))**2 + 4 - (sqrt(17) + sqrt(17)*2*2 + (-2*sqrt(1377) - sqrt(1377)))**2.\nAnswer: -8768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5464, -10434, -15404, -20374, -25344, -30314?\n\"Answer: -4970*m - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/14 - 181\/7. Let i = -27 - x. Let h(f) = 104*f**2 - 2*f. Is h(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9122512?\nAnswer: 2, 7, 47, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + 12\/30. Calculate the lowest common multiple of y + (-4 - -1) + 13 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**3\/9 + 1450*i**2 + 544*i.\nAnswer: -2*i*(i - 816)*(8*i + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 0*w**2 - w**2 + w**2 - 8*w**2 + 0*w**2 + (0*w - 2*w + 4*w)*(0*w + 2*w - 3*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -2*u**5\/5 - 3*u**4\/10 - u**3\/15 - 20*u + 6. Let f(m) be the first derivative of k(m). Let f(h) = 0. What is h?\nAnswer: -1\/4, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2*w**4 + 0*w - w**4 + 25 - 19 in the form n + d*w + u*w**2 + f*w**4 + p*w**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0483 - -0.0483. Do 408 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-171) + 88\/836.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t + 28*t = -170. Suppose 3*y - 6*y + 4*a + 25 = 0, -a - 7 = -y. Let f(c) = -6*c**3 - 2 - c**t + 1 + c**y - 2*c. Determine f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 21266?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893611323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*55236140\/(-402) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 4*i**2 + 25 - 34 - 4*i**2 as c*i**2 + q*i + o and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325035 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2067*z**4 + 862*z**2 wrt z?\nAnswer: 49608*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = o, 4*u + 0*o + 3018 = 2*o. Find the common denominator of -19\/12 and (-22)\/55 - u\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + f + f)*(2 + f - 5*f + f)*(5 + f - 5) - 1577*f + f**3 + 0*f**3 + 1690*f as u + d*f**3 + h*f + g*f**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31363618940.81109 - 31363893661. Let c = -274719 - y. Let r = c - 1.19. What is r rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33338040 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -30*m + q + 11, 5*q - 5 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qen when three letters picked without replacement from qerbnqu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v - 16, -4*c - 3*v = 448. Are -109 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 4*l = -a - 8, -4*a + 5*l = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*(i\/((i*i\/i**(1\/12)*i)\/i)*i)\/i*i))**(-35) assuming i is positive.\nAnswer: i**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h*k**2 + 2*h*k*m*x - h*k*x - 2*k**2*m + 2*k**2*x + 2*k**2 + k*m*x wrt m.\nAnswer: 2*h*k*x - 2*k**2 + k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(36\/45))\/(38650\/(-18552))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*y + 419 - 359 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.145.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847789755.\nAnswer: 3, 5, 1783, 31699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 4.1. Let q = f + 2.1. Let u = 61.8 + -62. What is the nearest to -1 in q, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 34 = 27 + 19. Sort -7\/4, 2, f, 1 in descending order.\nAnswer: f, 2, 1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/7 - 12*q\/7 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 338*h**2 + 19732*h + 1855. Give i(-263).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Let b = 34 - 34.3. Put b, l, 1 in descending order.\nAnswer: l, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20006521, 20006524, 20006527, 20006530, 20006533, 20006536?\n\"Answer: 3*w + 20006518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 63*n + 1. Let s(w) = 16*w. Let i(y) = 2*q(y) - 9*s(y). Let r(p) = 11*p - 414. Let m(j) = -6*j + 230. Let f(l) = 9*m(l) + 5*r(l). Calculate i(f(o)).\nAnswer: -18*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2 - 1. Let b(t) = -13*t**3 + 2*t**3 + 6*t**3 + 3*t**2 - 2*t - 1. What is b(u) - 3*f(u)?\nAnswer: -2*u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 729 - 870*h + 172*h - 559*h - 892*h with respect to h.\nAnswer: -2149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -415*g + 5829. What is i(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 45693.\nAnswer: 3198510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)*g\/(g*g*g**(-2\/11)*g))**(-47)\/((g\/g**(-3)*g*g)\/(g*g**(-4)\/g))**11 assuming g is positive.\nAnswer: g**(1011\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 96 = -2*h + 2*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 136*y + 571 = 3117 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 460591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 3633.73.\nAnswer: -7267.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-3) - (38 + 11). Is r equal to -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -17 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -48. Let j be v - 1 - (-3)\/(-3). Suppose -2*u + 100 = j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -24a?\nAnswer: -24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*d + 91*d = 88. Suppose -48 = -2*w - w. Calculate the least common multiple of d and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -23*c**2 + 5*c**2 + 6*c**2 + 5*c**2. Let f(r) = 15*r**2. Calculate x(f(d)).\nAnswer: -1575*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/((-1)\/(-2)). Let c(p) = 13*p + 1. Calculate the common denominator of c(g) and 51\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9*f*f**(2\/29)\/f*(f**0)**(-2\/41) assuming f is positive.\nAnswer: f**(263\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -20, -3*j + 2*h = -3*h - 139. What is the second derivative of -j*n**2 + 78*n**2 + 2*n - 35*n**2 + 15 + 0*n wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j**2 + 108*j - 18. Let c(u) = 2*u**2 - 20*u + 28. Calculate the smallest common multiple of c(9) and g(-14).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4972\/2163 + 4\/309. What is the common denominator of 95\/16 and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 29478 = 2*w - 3*x, 0 = -w + 5*x + 14760. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.191 - -0.091. What is the closest to h in 0.02, 3, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-81)*-3*(-6)\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 127 (c) 3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-6)*s))\/((s\/s**(-3))\/s))\/((s*s**(-5))\/(s*s**(-2\/31)\/s*s)) assuming s is positive.\nAnswer: s**(246\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116827.\nAnswer: 116827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 68\/12 + (-1)\/(-3). Suppose -w - 14 = -r. Solve 3*v + r = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.092 - -12.292. Let j = -12 + x. Which is the second smallest value? (a) j (b) -3\/2 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590 and 227910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddvddduvvv. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 248*r**3 - 485*r**2 - 301*r - 60 = 0. What is r?\nAnswer: -60, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*d - 8 = -390*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 166 + 80 + 86.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3 = -q, 4*n + 8 = 2*q - 3*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27323722 (base 8) to base 15.\nAnswer: -813925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.252 + 0.25200543. Round r to 7 dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-3668)\/308 - -12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1476, -1624, -1772, -1920?\n\"Answer: -148*n - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.1 + 19. Which is the nearest to w? (a) 4 (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (248 - -8)*1*2. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47016 - 28314. What are the prime factors of p?\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-5) + 6*2. Let m = a - 8. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 9:07 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -63840.5.\nAnswer: 127681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 35*t + 37. Let l be q(34). Suppose -j = l*j - 56. Calculate the greatest common factor of j and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46909903 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173840\/(-328) + 476 + 11*1 + 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*a - 2 = -16, 0 = 5*z - 2*a - 20. Let x be z\/(-26)*(-6)\/(-9). Do 1\/3 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1 - 1 + 135*x.\nAnswer: 135*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -85? (a) -5 (b) 0.5 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/253 and -58\/299.\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r**2 - 3 + 2 + 0 - 3 - 3*r.\nAnswer: -47*r**2 - 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12772.\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 9*b**5\/10 - 19*b**4\/8 - 2*b**3\/3 + 392*b**2. What is the second derivative of h(n) wrt n?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 15) to base 13.\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7. Let x = g - -1. Let h(f) = -f**2 + 17*f - 55. Let k be h(12). Solve -k*z + 14 = -3*q - 6, q = x*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*v - 41 = 14, -80 = -5*q + v. Let y = q + -59\/4. Is y equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.434 and 0.2.\nAnswer: 6.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324035 - -4?\nAnswer: -324031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3\/4 (c) 3 (d) -79964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -16*v. Let a(r) be the third derivative of -r**5\/60 - 8*r**2. Give a(q(j)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7505692 millilitres to litres.\nAnswer: 0.0007505692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25558827?\nAnswer: 3, 7, 331, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 45*h + 1\/9*h**4 + 0*h**2 + 0 - 2\/3*h**3. Determine a, given that n(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4342 (base 15) to base 5\nAnswer: -423422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11095387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -20\/9, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.18092 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -9, -1, 102814, -2 in ascending order.\nAnswer: -33, -9, -2, -1, 102814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-36) - (-89)\/((-25632)\/448). Factor -2\/7*h - 2\/7*h**4 - 6\/7*h**3 + j - 6\/7*h**2.\nAnswer: -2*h*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 68\/12. Let c be ((-48)\/(-136))\/((-165)\/(-1870)). Solve -7*b = -c*b + t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -157*o + 1096. Let q be t(7). Suppose -4 + 3 = u. What is the closest to 2 in 2, u, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = 15, 0 = -l - 5*u + 49. Suppose 5*m - 48 = -w, 3*w + 0*m - m - l = 0. What is the highest common divisor of w and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t + 4534 - 4534.\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 20*c + 4 + 5*c**2 - 3*c**3 - 2*c**3 - 18 = 0 for c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*u**2 - 4*u**3 + 2*u**3 - 155*u**2 as p + r*u + k*u**2 + b*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1523 (base 7) to base 2.\nAnswer: -1001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 41*r**2 - 20*r + 338. Let z be a(13). Which is smaller: 7009 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 1363, 4537, 10611, 20551, 35323, 55893?\nAnswer: 83227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -48. Suppose 6*x = -x - t*x. Let f be 2 + 1 + -2 + x. Solve 2*b - b = -f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 1280?\nAnswer: -127b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -20321?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 2*w**2 + 1. Let l be h(-2). Let p be -6*l\/6*-2. Which is the third smallest value? (a) p (b) 3\/7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -332*z + 815. Let y be j(2). What is the greatest common divisor of 8758 and y?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 6. What is the first derivative of -5*n + 12 - 9 + m*n wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 - y**2 + y = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579655771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3368603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 5}. Give prob of picking 3 a and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + -2 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4445*a**3*i + 4*a**2*i**3 + 11*a**2 + 5*a*i**3 + 15*a*i**2 + 6*a + 4*i**2 + 2*i wrt a?\nAnswer: 26670*a*i + 8*i**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m\/(m*m*m**(-17)))\/m))\/(m*((m\/((m*m\/(m**(-14\/5)*m*m)*m*m*m*m)\/m))\/m)\/m*m) assuming m is positive.\nAnswer: m**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 - 21*j**3 - 19*j**3 + 1 + 20*j**3 + 1 + 38*j**3.\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 + 128.6. Let r(l) = 2*l**2 - 3*l + 6. Let q be r(3). Which is the smallest value? (a) -0.1 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4513\/24 - 188. Let d(g) be the third derivative of 0 + 3*g**2 + l*g**4 + 0*g + 5\/6*g**3. What is the first derivative of d(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 4*f**3 - f**3)*(-2*f - f + 5*f) - 5*f**4 + f**4 - 3*f**4 + 2*f - f**4 - f**4 + 5*f**4.\nAnswer: -2*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilometer in meters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*x - 67 = 23, 5*x + 135 = 4*s. Solve s*v + 138 = -21*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 1902 + 581 = 1059. List the prime factors of t.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a kilogram in grams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = 4*u + 11, 79 = -5*x + 4*u. Let n be (8\/5)\/((-2)\/x). What is the highest common divisor of 96 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 554428.3ng?\nAnswer: 0.0000005544283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1284)\/(-16) + 1\/(-4). Suppose 8*j = 3*j + u. Let o(z) = 2*z**2 + 2*z - 11. What is the remainder when o(-5) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9053 - 9025. Solve 17 + 39 = -u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**3 - 2*s**2 - 9*s - 8. Let k be 315\/35 + 2 + -12. Determine v(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, 3, 242?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 142*p - 131. Let h(n) = -n**2 - n - 3. Let o = -348 - -351. Let x(y) = o*h(y) + c(y). Let x(f) = 0. Calculate f.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3*i - 7 - 2, 0 = -4*y - i + 7. Let s(l) = -4*l + 5. Let d be s(y). Put d, -38, 4 in ascending order.\nAnswer: -38, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -11*t**8\/14 - t**5\/60 - 25*t**4\/12 - 3*t**2 - 2*t. Find the third derivative of i(n) wrt n.\nAnswer: -15840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*f**3*g**2 - d*g**3 + 2*d*g**2 + 11*f**3*g**3 - 2*f*g + 3*g**3 + 1912*g wrt g?\nAnswer: -6*d + 66*f**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1327 plus 1?\nAnswer: 0.8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/35? (a) 4 (b) 106 (c) -4 (d) 3 (e) -1.2 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - u + 1. Let g(v) = -8*v**2 + 6*v - 5. Suppose 10 + 2 = 2*a. Let m(f) = a*p(f) + g(f). Differentiate m(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 28*z - 126 = 40*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036535.\nAnswer: 5, 207307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p**3 - 8*p**3 - p - 5*p**3 - 3*p**2. Let o be u(-3). Suppose -5*b - o*a + 134 = 0, -2*a - 50 - 44 = -4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.6. Let w = r - -0.122. What is w rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v - 144. Let l be n(-22). What is the highest common factor of l and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10) - (-15)\/((-3600)\/66).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**2 - 5*h + 2. Suppose 533*b = 528*b + 20. Suppose 0*q - 3*c = 5*q - 24, -b*q - 5*c = -27. What is m(q)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17797513.46 to the nearest 1000.\nAnswer: -17798000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41414434 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -182. What is the units digit of p\/(15\/10 - 321\/216)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 11*j - 5. Let d be n(6). Solve -d + 7 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*i - 4*o, -i - 11*o + 2 = -3*o for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 33*n - 238 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214121 is divided by 1755?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*a - 14, 9*a + 111 - 60 = -9*a + 69*a for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/3861)\/(2\/18)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -69*(-4)\/(-30)*(6 - 1). Let p = f - 409. Let h = 675 + p. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 4664.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8265 (base 13) to base 11\nAnswer: -12581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -866*b**2 + 8*b - 90. Let l(o) = 869*o**2 - 9*o + 82. Let g(j) = 4*c(j) + 3*l(j). Find the second derivative of g(u) wrt u.\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2. Suppose -2*a + 13*b + 18 = 12*b, -9 = 3*a + 3*b. Let h(k) be the first derivative of a + 0*k - 3\/2*k**2. Give h(c(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/26 + 3494*h**3\/13 + 9156027*h**2\/13 + 10663719446*h\/13 + 1175. Determine o, given that y(o) = 0.\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2)\/16)\/(5\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28842.\nAnswer: 2, 3, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 2*d**2 + 7. Determine x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.965 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1079 to two decimal places.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78210 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8.23 times 1\nAnswer: -8.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -641, -1, -41, 1, -64, 5 in decreasing order.\nAnswer: 5, 1, -1, -41, -64, -641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -3*d. Let r(x) = x**3 - 5*x**2 - 5*x - 2. Let u be r(d). Suppose -u*q = -46 + 14. 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 -o = 3*i - 3*o + 88, 5*o - 55 = 2*i. Does 8 divide 1 - (2 + -2 + i - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/10)\/((-2)\/(-15)). Which is the closest to 1? (a) 0 (b) n (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151434.716 + -13.\nAnswer: -151447.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -75, -89, -99, -99, -83, -45, 21?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (7 + -8)) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -h + 3*h. Suppose 2*z - 4*f = 5*z - h, 5*f - 4 = -3*z. Let r = -6 + z. Solve 2*k - 12 = -r*i + 6, 3 = -i + 2*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (0 - 2 + 4)*(-3 + 3 - 1) + 2 - 4 + 3)*(-3 + 2*u + 3)*(-52*u + 118*u - 43*u).\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11716*u - 1972*u + 8987*u + 5665*u.\nAnswer: 24396*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006816 rounded to 6 decimal places?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 65*n**3 + 10*n**2 - 21*n + 11. Is h(3) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a79 (base 15) to base 14.\nAnswer: 16780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113727 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: Express (-155 - 3*c**2 + 155)*(-2 + 2 - 4 - 3) as a*c**2 + q*c + f and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.165 + -80.165. Let h = j + 70.9. What is h rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w + 169495 = 4815. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24543 and 1731746.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3157*b**2 - b - 423 wrt b.\nAnswer: -6314*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39655\/6 + -6610. What is the second smallest value in 1\/4, -295, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264843601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 2. Suppose 0 = c - 2*c - l + 3, 3*c = -l - 1. Let n be m(c). Let p = 19 + n. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/65?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2390260 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9))**(1\/4)\/(r*r*(r*(r\/(r*r*r*r*(r\/(r\/(r**(-2\/11)\/r)))\/r*r*r*r*r)*r*r)\/r)\/r*r*r*r*r**(2\/11)) assuming r is positive.\nAnswer: r**(-281\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160844*y**2 - 249*y + 662 wrt y?\nAnswer: -321688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:03 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 1. Calculate the remainder when 119 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 2*h + 1. Let o(r) = 20*r**2 - 640*r + 630. Let b(s) = -o(s) + 5*p(s). What is y in b(y) = 0?\nAnswer: 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m - 3. Let z be g(3). Let o be (-6)\/z*(-4)\/(-10). Is -0.1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (3\/(-3) + 2). Suppose 0 = f + 3 - b, -2*t - 2*f - 6 = 0. Let j = -0.2 - -0.1. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 bigger than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 0 + 5 + -1 + 1 + (-6*(-1 + sqrt(117)) + sqrt(117) - sqrt(117)) + 0)**2 + -4.\nAnswer: -330*sqrt(13) + 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -83, 3, -3, -4 in descending order.\nAnswer: 3, -1, -3, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-6))\/(8*(-4)\/(-8352)). What is the units digit of (-17 - -11) + r + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:08 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(52) - (sqrt(26) - sqrt(104))\/sqrt(2)) + ((2*sqrt(91) - sqrt(91) - sqrt(91))*3)\/sqrt(7).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 11*v - 2. Let q be h(11). Let k be 0 - (-14)\/5 - (3 + 0). Put k, q, -1\/4 in descending order.\nAnswer: k, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 67.56685.\nAnswer: 33.783425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -794 + 130. Let s = -663 - q. Is s at most -2\/581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8935.106 rounded to the nearest integer?\nAnswer: 8935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99279, -794396, -2681139, -6355320, -12412751, -21449244, -34060611?\n\"Answer: -99302*r**3 - r**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1814676 and 159468.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 45 = 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0, -4, 2, -53.9.\nAnswer: -53.9, -4, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 4. Let r = 7 - g. What is the nearest to -0.2 in r, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10377495*y + 10214909 wrt y?\nAnswer: 10377495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 9. Suppose -3*l = 3*g - 36, -w*l + 2*g + 78 = l. Suppose l = 3*z - 2*z. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004081550827 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -70, -206, -468, -898?\n\"Answer: -7*o**3 - 3*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 14*w**2 + 35*w + 1. Let i be q(-4). Calculate the greatest common factor of 96 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2\/2 - 155*a\/2 - 157 = 0?\nAnswer: -2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 111283 = 18*b - 49973. List the prime factors of b.\nAnswer: 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 + 4*d**2 - 11*d - 1296. Give x(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.27.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 40 = -75. Let k = 10 + b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.03 - -0.03. Let v = 6 + d. Let m = v - 6. Is m less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1529.62 - -1529.82. Let l = -0.48 - -0.1. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1764 divided by 132268\nAnswer: -441\/33067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2233 + -0.1233. Let u = 2073\/8 + -260. What is the third biggest value in c, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2130.741 - 92564.37\nAnswer: -94695.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707180?\nAnswer: 2, 5, 19, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 + 2*h**2 + 2. Let q(r) = -4*r**3 + 3*r**2 + 3. Calculate -2*q(u) + 3*z(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -165. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.519239 + -1.519. What is s rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-160) + ((-284445)\/300)\/(-43).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 less than -178?\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-2)*(-4)\/(-3). Let a(p) = -p - 5. Let z be a(b). What is the first derivative of -z + 3 + 0 - q**4 wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - 1231?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(7\/5))\/((f\/f**(5\/6))\/f))\/(f*f*f**(-5)*f*f)**49 assuming f is positive.\nAnswer: f**(1513\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10)*(1 - 6). Let v(m) = -m - 6. Let w be v(l). Suppose -t = -w*z - 5*z - 50, 4*z - 30 = -2*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 31*i - 29. Let t be q(-14). Let z = 473 + t. What is the highest common factor of z and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0594 - 0.5594. Let g = 4 + -2. What is the nearest to g in -0.1, -3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7 + k**3 + 8*k - 23*k**3 + 4*k**3 + 17*k**3. What is y(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 242 in descending order.\nAnswer: 242, 19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/14 - 17*a**6\/5 - 957*a**5\/20 - 239*a**4\/2 + 160*a**3 + 768*a**2 + 171*a + 1. Find y such that x(y) = 0.\nAnswer: -16, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40006\/18795 + 6\/1253. Let u = -9\/5 + w. Put -2, -6, u in increasing order.\nAnswer: -6, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3 = -5*v, 5*v - 8 = -2*k + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86c8 (base 13) in base 16?\nAnswer: -4942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 8*d + 4. Let x be (-9)\/(-3)*-1 + -2. Suppose -i + 256 = 5*r, 0*i + 4*i = r - 68. Calculate the remainder when r is divided by h(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/171 in -43, 14\/5, 1, 4\/11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y - 4. Let q be t(-8). Suppose 2 + 8 = 5*n. Suppose o - v = -4*v + n, 5*o = 5*v - 30. Sort q, o, -2, 2.\nAnswer: o, -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545545 divided by 1001?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 284*u + 845. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921 + 956 = 35*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 6*k**2 + 8*k + 16. Let v be b(-5). Let h = -248 - v. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -17*u**2\/2 - u - 3. Is 25 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -0.1546\nAnswer: 4.4834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*x + 4002 = 7272 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 - -3.6. What is the second smallest value in -6, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -j + 1, 3*s - 2*j - 14 = 0. Suppose -3*y - 5 = -s*y. Solve y = b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*t - 0*t. Let j = t - -8. Solve i - 13 = -5*f - i, 0 = 2*f - i + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1791394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 1, u: 3, s: 2, e: 11}. What is prob of picking 1 u, 2 s, and 1 d?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/24 + 33\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475.4978 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + r + 4. Suppose 29*j = 34*j - 3*o + 76, -4*j - 56 = -4*o. Let v(p) = 6*p**2 - 3*p - 12. What is j*b(d) - 6*v(d)?\nAnswer: -2*d**2 + d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*((3*a - a + 0*a)*(a**2 - 3*a**4 - a**2) + (-10*a + 5*a**3 + 10*a)*(-1 + 1 - 2*a**2)) - a**5 - a**5 + 3*a**5.\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -1251\/7. Put 0.6, -2\/5, -3, r in descending order.\nAnswer: 0.6, r, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2627.97209 + -0.02791. Is b at least as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5 + sqrt(45)*-1 + -4)*6)**2.\nAnswer: 1944*sqrt(5) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwwqwiwii. What is prob of sequence iqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c - 75*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (11 + -15). What is the first derivative of -2*u**2 - 2*u**2 + c - 6*u**2 + 4*u**2 wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 70 + 16 + 34 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -7, -2, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11595041 or 11595042?\nAnswer: 11595041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 - 10*a. Let o be s(10). Suppose 0 = 5*j - 2*j + 9, o = -3*q + j + 27. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/92 + 1561\/276. Let i(x) be the first derivative of 0*x**4 + 0*x + 0*x**2 + 0*x**5 - j*x**3 - 3\/2*x**6 + 1. Find the third derivative of i(z) wrt z.\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let o(x) = 3536548*x**2. What is o(n(q))?\nAnswer: 14146192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/2 - 34477833*l**2\/2 + 68955657*l\/2 - 34477827\/2 = 0.\nAnswer: 1, 11492609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 2*b**2 - 2*b**2 + (-b - 1 + 1)*(-b + 5*b - 3*b))*(-4 + 4 + b) + b**2 - 3*b**3 - b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15311115 - -10803115. Round r to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4\/7, -0.42, 35, 2\/7.\nAnswer: -10, -0.42, 2\/7, 4\/7, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 9126\/17, -0.3, 3 in decreasing order.\nAnswer: 9126\/17, 3, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15359.5 rounded to the nearest 100?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77396 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26 + (-2 - 0) + -1. Suppose 43 + g = 2*w. What is the greatest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69910000 rounded to the nearest one million?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 31*s - 120. Determine h(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 20409 = 4*c + 14*b, 0 = -b - 1. List the prime factors of c.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 137?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2650, 4043, 5436?\nAnswer: 6829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641012*h**2 - 641016*h**2 + 1282030*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.12, 0.4, -44, 2\/3 in increasing order.\nAnswer: -44, -0.12, 0, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in 8\/7, -2\/7, 687, 37.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 3*u - 3*u)*(-5 + 1 + 1) + 4*u**2 + 6*u - 6*u + (3*u**2 - 7*u**2 + 2*u**2)*(1 - 4 + 2).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = -4*x + 4*s - 4, -3*s + 269 = -4*x. Suppose -b = 2*b - 576. Let l = b + x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - l**4 + 4*l**4 + (8*l + l - 7*l)*(-l**3 + 0*l**3 + 5*l**3) - 2*l**4 - l**4 + 2*l**4.\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 17*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723*r**2 - 81*r**2 + 204*r**2.\nAnswer: -600*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n**2 + 1321*n - 1889. Give s(164).\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 36. Let z be 36996\/w + 12\/(-30). Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 - 3*v + 5. Let d(x) be the second derivative of x**3\/3 - 16*x**2 + 13*x. Let f be d(14). What is the units digit of o(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 525, 0, -1\/8, -8.07?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 3*m**2 - 3*m**2)*(-2 + 55*m - 2*m**2 - 38*m - 28*m).\nAnswer: -2*m**5 - 11*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 9*c**2 - 6*c - 12. Calculate d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33531\/26828 + 1\/6707. Which is the nearest to -1\/2? (a) -2\/9 (b) w (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (207\/(-6))\/(6\/8). Let s = i + 20. Let a = s + 37. Solve 0*l - k = -2*l - a, 5*l + 40 = 5*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 + -3)\/(-3). Let v be -6 + (0 - q)*1. Let i be (0 - 0)*v\/14. Put i, -4, 2 in descending order.\nAnswer: 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/990)\/((-4)\/32163). Let t = a - 2\/165. Let r = 711\/22 + t. Sort -2, -0.1, r in descending order.\nAnswer: -0.1, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 d when three letters picked without replacement from {x: 3, b: 1, f: 3, g: 2, h: 3, d: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 314, 342, 390, 464, 570, 714?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 244*c**3\/3 + 444*c**2 - 1676*c\/3 + 200 = 0?\nAnswer: -25, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 457836959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2589.241964 take away 0.24406?\nAnswer: -2589.486024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 256. Let v = z - -158.1. Which is smaller: v or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5299845 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7150 - -7510. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 405, -1, 0.7, 1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -41462.742 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15.61465 + -33.6\nAnswer: -17.98535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 343791445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 24. Let w be y(7). Let n(s) = -16*s**2 - 10*s**2 + w*s**2. Let b(r) be the third derivative of -r**4\/3 - 2*r**2 - 29*r. Give b(n(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1430\/(-468))\/(90\/(-36)).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (31\/(-30) - 1) + 48\/24 and -23\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-16 - 2 - -3)) + (17 - 21).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 453?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 3}. Give prob of picking 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**4*a)\/a)\/a**(-6)*a**(-7)\/(a*a*a**(2\/19)\/a*a) assuming a is positive.\nAnswer: a**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(80)*1)**2 + (sqrt(5) - 1*(sqrt(5) + sqrt(5) + sqrt(20)\/sqrt(4))))*-3.\nAnswer: -225 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 290, 703, 1402, 2471, 3994, 6055, 8738?\nAnswer: 12127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-i**3 + 4*i**3 - 5*i**3) + 2*i**3 + 2*i**3 + 5*i**3 as a + s*i**3 + g*i + p*i**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 9*u - 4*u to m + k*u and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 0*r**3 - 5*r**3 + 2*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(1\/16)))**(8\/9)\/(n\/(n*((n**(18\/7)\/n)\/n)\/n)*n**(-35)) assuming n is positive.\nAnswer: n**(1417\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -154. Suppose s = -5*m + m + 110, -j*m - 198 = -2*s. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/23)*v)**(-1\/2)\/(v**(-19)\/v**(-2\/7)))**(-2\/31) assuming v is positive.\nAnswer: v**(-5886\/4991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 + 16 = 0. Let u(x) be the first derivative of x**3\/3 - 3*x**2 + 6*x - 1. What is the units digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54191 and 24863.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12972, -97816, -328100, -776544, -1515868?\nAnswer: -2618792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/5? (a) 0.2 (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17 + 2*v + 39 - 20. What is h(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(1 + sqrt(13)*2)**2 + -4.\nAnswer: -106 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 656\/5 - 1327\/10. Let x = -0.8 - -9.8. Let k = x - 8.9. Which is the third biggest value? (a) 1\/6 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 91.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26739019.\nAnswer: 31, 467, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/19, 0.2, -3\/2, -1, -0.3, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -8*v + 6. Suppose l - 14 = -5*z, -5*l + l + 8 = 4*z. Suppose -r = v*r - z. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-8 + 27)) + (13 + -1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 271. Let n = t - -308. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.848*2.\nAnswer: 41.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028 = 195*p - 8048 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1289*n + 4*j - 461711 = -1294*n, 4*j - 277017 = -3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-7 + 4 + -4 - -1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/((-1)\/3). Suppose s = -o + 3*o. Suppose 0 = 16*i - 50 - 14. Sort i, o, -1.\nAnswer: -1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*d - 120*d - 140*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 - -180. Which is the closest to 2\/5? (a) z (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -368*d - 309*d + 35881 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*u + 2*j, -4*u + 0*u + 22 = -j. Let a(h) = h - u*h - 6*h + 5*h. What is a(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*o**2 - 29*l**3 - 13*l**2*o**2 + l**2 wrt l?\nAnswer: 6*o**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 3*m - 8*m + 13*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 8, i: 2, u: 5}. Give prob of picking 1 x, 2 i, and 1 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 9*i**3 - 11*i**3 + 19*i**3 + 4 to q + o*i**2 + k*i**3 + l*i and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.2. Let h = 27.34 + 0.66. Let o = -30 + h. Which is the closest to 0.1? (a) u (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2081, 3466, 5789, 9050, 13249?\n\"Answer: 469*n**2 - 22*n + 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24475751*j**2 - 1182493 wrt j?\nAnswer: -48951502*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 3964*u**4 + 525744*u**3 - 19695424*u**2 + 133341184*u - 250871808 = 0. What is u?\nAnswer: 4, 64, 3828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -2*f + 14, 697*f - 703*f = 5*v + 50 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:10 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.6 and 2.91.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l - 294 = b, -4*l + 1488 = -5*b. Let d = b + 308. Calculate the remainder when 33 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 28*s**2 + 22*s + 22. Let w be o(9). Suppose -154*c + 60 = -w*c. Solve c*z + 5*b + 36 = 0, -z = -4*z - b - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126234167401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f - 86 + 86)*((0 + f + 0)*(3 - 8 + 10) - 3*f - 3*f + 17*f).\nAnswer: -208*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*n*t*v*w - n*t - 11*n*v*w - n*w + 3*t*v - 11*t*w - 3*w with respect to n.\nAnswer: -20*t*v*w - t - 11*v*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 11.7. Let p = g - 6. Which is the third biggest value? (a) p (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -25*b + 24*b, 4*b = 4*l - 20. Solve -5*m - 1 = -3*f + f, -l = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*t - 3*r, -4*r - 17 + 13 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3 - 3*d**2\/2 + 18*d + 16. Suppose m(g) = 0. Calculate g.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 + 1.8. Sort 1, w, 5\/3.\nAnswer: w, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -13.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 2. Let n = 7 + q. Let l(d) = -7*d + 0*d + d + n*d. Let c(f) = -3*f**2. Give c(l(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 25*j**2 + 24*j - 78. Let i be c(-13). Let k = -788 + 411. Let r = i - k. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 12*z**2 - 181*z - 168.\nAnswer: (z - 21)*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31434496.71 + 0.1193.\nAnswer: 31434496.8293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.389684 - 0.35417. Round r to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -390, -399?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 884, 881, 878, 875, 872?\n\"Answer: -3*i + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 2.35\nAnswer: -9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 512426 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**1*f*f*f**(4\/7))\/((f\/(f*(f**(-3\/5)\/f)\/f*f)*f)\/f*f**2)*(f**(-1))**(-11\/3)\/((f\/(f\/(f**(3\/8)\/f*f)*f))\/((f*f**(5\/4)*f)\/f)) assuming f is positive.\nAnswer: f**(5471\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 8389069.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 41 = -86 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2539770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 10. Let j(m) = -9*m - 50. Let l be j(o). Suppose -l = 2*t - 8. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13248 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 13123333?\nAnswer: 13123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4 + sqrt(1300)*2 - sqrt(1300))*4)**2 + 5 + -4 + -3.\nAnswer: -1280*sqrt(13) + 21053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 - 1544*m\/3 - 1532.\nAnswer: -4*(m + 3)*(m + 383)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 496*o**2 + 10156*o - 305856.\nAnswer: 4*(o - 16)*(o + 59)*(o + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + l**2 - l + 2. Let w be a(1). Solve -5*q - 6 = -w*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eek when three letters picked without replacement from keea.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3\/7, 1256 in descending order.\nAnswer: 1256, 3\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**3 + 92*o**2 - 99*o - 143. Calculate l(-14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.05 + 0.05. Let y be 144\/15 + 9\/(-15). Suppose -y = -4*p + p - 3*x, -p - 4*x = -9. What is the closest to h in 3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -101.5. Let d = -20 + q. What is the closest to -4 in -2, d, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -41. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 2:49 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 and 87\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from {d: 3, c: 7, l: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s = -215. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -355 + 0?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**6\/72 - 103*q**3\/6 + 3*q**2 + 3*q. Let p(c) be the first derivative of n(c). Let o(z) = 2*z - 6*z - 3*z. What is o(p(v))?\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/496, -23, 2\/21?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*p + 3*p + 274 = 0, 17*p + 8464 = 4*l + 7550 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511.6 times 1.4?\nAnswer: -2116.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 divided by 1.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9670, -38658, -86986, -154666, -241710, -348130?\nAnswer: -473938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 - -104?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1266\/(-58))\/(-3) + -1. Let s = 2261501\/41818 - 1661\/721. Let l = s - b. Calculate the common denominator of -33\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 8:49 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Let r be 484\/(-3)*(-798)\/28. Suppose 785 = -3*i + j*n + 4246, 0 = 4*i + 3*n - r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 769457, 769383, 769267, 769115, 768933, 768727, 768503?\n\"Answer: n**3 - 27*n**2 + 769483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**2 - 176*y**2 + 59*y**2 - 239*y**3 - 1 + 54*y**2.\nAnswer: -239*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -19, 5, 1\/3, -2, 203, 2\/7?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(1573)*-2 + (sqrt(1573) - (sqrt(1573) - 1*3*sqrt(1573))) + 3)*2 + -5)*-3*-1)**2.\nAnswer: -2772*sqrt(13) + 2774781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let l = 0.0164 - 5.0164. What is the closest to x in -3, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 19863920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-108) + 2\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42 and -0.72943.\nAnswer: 30.63606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + -9 - (218 + -284)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 4:31 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/40 + 7*h**5\/5 + 137*h**4\/8 + 55*h**3 - 412*h**2. Let w(y) = 0. Calculate y.\nAnswer: -22, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244625 divided by 82975.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 + 5*q**4\/6 + 4*q**3\/3 - 4*q**2 + 3*q. Let m be l(-8). What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:30 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -675827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87 + -105.13. Let g = -0.392303 + 0.192303. Which is the nearest to k? (a) 5 (b) 2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 18*h - 9. What are the prime factors of m(-9)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/9, 59\/6, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 6*h + 28 = 0. Let j be (3 - 6)*((-18)\/3 + 3). Suppose 0 = -5*g + k + j, -4*g - 3*k + 9 = -g. What is the smallest common multiple of g and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 11901 = 5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37.07 and 235\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 - 31 + 41 + 6*u + 21. List the prime factors of v(-6).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14 - 25 + 283*r - 24 - 38 + 23. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010001111111110 + 11001011?\nAnswer: 1110010010011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Is ((-30)\/9)\/(t\/(-6)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)\/g)\/g**(-2\/33))\/(g\/g**(-2\/9))**(-31) assuming g is positive.\nAnswer: g**(26002\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = -4. Suppose 2*h - 6*h = 8. Sort 2, h, m in ascending order.\nAnswer: h, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7942 and 88.\nAnswer: 31768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48402156?\nAnswer: 2, 3, 11, 366683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 464 - 144914 = -u, 5*u = 4*f + 722334. Suppose 5*v - u = -5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = -5*g, w - 4*g + 22 = 2*w. Let k(u) = 11*u**3 + 3*u**2 + u + 31. Is k(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m + 104 = -16*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3848, 3849, 3850, 3851?\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/5 - 1158*o**3\/5 - 6495*o**2 + 38340*o = 0. Calculate o.\nAnswer: -355, -36, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2. Let m(n) be the first derivative of 694*n**3 + 9939. Calculate k(m(l)).\nAnswer: -34677792*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(0 + sqrt(396))**2 - -1*(sqrt(396) + 1)*4.\nAnswer: -7916 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 161*v + 6. Let w(p) = -316*p - 12. Determine 11*a(h) + 6*w(h).\nAnswer: -125*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*z + 5758 - 4703 + 10897 = -30*z for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -26 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*(6 + 28\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/12))\/w)\/((w*w\/w**16)\/w*w) assuming w is positive.\nAnswer: w**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 47 - 44 - 3*c**2 - 49 - 30.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + 9*b**2 + 4*b + 5. Let s(r) = 6*r**3 - 8*r**2 - 3*r - 4. What is 5*m(q) + 6*s(q)?\nAnswer: q**3 - 3*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 3. Let s be z(-11). Let u = -260 - -266. What is the common denominator of (u\/10)\/(1\/s) and -50\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1433733 + 234975.7.\nAnswer: -1198757.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/55 + 24\/(-11). Let d be 10\/b - 3711\/11. Let s = d + 342. Sort 3\/2, s, 2.\nAnswer: s, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 9*q + 83 = -a + 104, 2*a - 3*q - 68 = 0 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1059343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -240.992972*-1\nAnswer: 240.992972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + (12 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Let x(p) be the first derivative of -2*p + 2*p - 2*p**2 + 0*p**2 + 1. What is v(x(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -10. Let j be (1 + -3)\/(-10 + z). Factor 59*s**3 - 60*s**3 + 1 + s**5 - 2*s**j + 2*s**4 - 1.\nAnswer: s**2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 3*f - 16 - 3*f**2 + 14 + 8*f**3 + 2*f**2 as l*f + w + b*f**3 + j*f**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/457, 28, 4?\nAnswer: -2\/457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -18*n - 1. Let b be 3*-1 - (-60 - -7). Suppose -l - 4*l = b. What is the hundreds digit of k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(-4 + -3*((-1 + sqrt(11))*6 + sqrt(11))*4 + 5)**2)*5.\nAnswer: -2073635 + 306600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-42)*1*3. Let x = -45 + 48. Solve -5*z = -3*l - 8, z + f*l = x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2 + 42*a - 72 = 0. What is a?\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177859*a*i**3*u**2 - 31*a*i**3*u + 178941*a*i**2*u**2 - a*u - 7*i*u**2 + 3 wrt i?\nAnswer: 1067154*a*u**2 - 186*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in centuries?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 7*a - 119. Calculate the remainder when 84 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + t - 564, 0*t - 3*t - 282 = -2*q. Suppose 0 = q*v - 144*v + 90. 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: Let w(a) = -3*a**2 + 14*a + 23. Suppose -2*d = 2 + 2. Let k(j) = -j**2 + 5*j + 8. Let o(m) = d*w(m) + 7*k(m). List the prime factors of o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 24*r - 11. Calculate the remainder when s(26) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 12490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**31*o*o*o\/((o\/(o**(12\/11)*o))\/o) assuming o is positive.\nAnswer: o**(397\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-20)*(-45)\/(-18)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 17 + 643. Let j = -135 - r. Suppose 0*n = -4*x + 5*n + j, 0 = 4*x + 5*n - 245. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 6*k**2 - 3 - k**2 + 1 - 1 + k**2 + 3 - 3 + k**2 + (0*k + 2*k + 0*k)*(3*k - 4*k - k))*(-1 - 1 - 1) to the form h*k**2 + d*k + g and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -16*a**3 + a**2 + 2*a + 1. Let p be w(-1). Suppose 8*i - 4*i - p = 0. Suppose 0 = -0*g + 3*g. Solve -i*b + g = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 450*i + 196*i.\nAnswer: 638*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007650976 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 (base 6) in base 15?\nAnswer: c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, -3, -0.2, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/630)\/((-3)\/(-450))*(2625\/(-10))\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 d when three letters picked without replacement from jqjqdqjdqdjjfddqdd?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -64. Let l(k) = -3*k - 1. What is l(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539701 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1)*(-45)\/4. Let l be (4\/6)\/(10\/x). Suppose s + 3*s = 16. What is the third biggest value in l, 3, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16667*g**6 - g**4 - 14*g**3 - 1062990*g**2 wrt g?\nAnswer: -2000040*g**3 - 24*g - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 58 = -38. What is the units digit of (r\/(-20))\/((-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80.5 + -81. What is the smallest value in -2\/15, c, -4\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 20286?\nAnswer: -20288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 - 40*d**2 - 23 + 11*d**2 + 9*d**2 + 11 - 6*d.\nAnswer: -4*d**2 - 6*d - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*a + 5*k, 5*a - 40*k + 43*k = 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12101?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146394 + -2.\nAnswer: -146396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203678064*n**4 + n + 50597593 wrt n.\nAnswer: 2444136768*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*z = 6, -z = 3*x - 0*z - 4. Let u = x + -2. Let h be (u - -2)\/(8\/12). Solve -2 = -h*m + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u**4 - 9*u**2 + 9*u**2)*(3*u - 3*u + u) + 5*u**3 + 7*u**5 - 4*u**3 - 4*u**3.\nAnswer: 28*u**5 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 921 + -910. Solve -c*k = 11 + 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*(-117)\/(-26) + 3381. Suppose 828 = 13*t - z. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*d + 24, 4*d + 2 = 18. Sort 1, c, -2, -7 in descending order.\nAnswer: 1, -2, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.138, 1\/4, 4?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1220 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*-3*(-2 - -1). Let z be (-6)\/q - (-60)\/14. Let p = 7 - z. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.37933 - 44.\nAnswer: -43.62067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*t, -4*t = 5*a + t + 400. Let c be a\/(-24) + 1\/2. Factor -4 + 9*s**3 - 13*s**3 + 4*s**2 + 0 + c*s.\nAnswer: -4*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a, -3*g + 78 = 37*a - 42*a. Solve -5*c - g + 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.3 - 26. Let w = 13.5 + -10. Let l = w + -0.5. What is the biggest value in i, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27319325 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjjjjjjsjsj?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2254, 3489, 4710, 5911, 7086, 8229?\n\"Answer: -z**3 - z**2 + 1245*z + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r - 107*r + 8 = 0. Solve -5*p + 33 = -r*c, 17 = p - c - 2*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwc when three letters picked without replacement from crwwvwppjpcwwwp?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.8, 2\/3, 115.\nAnswer: -3.8, 2\/3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.269338634 and -0.04.\nAnswer: -21.309338634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 2*t, 0 = 4*g - 2*t - 3*t - 37. Suppose 2*b = g*x - 0*x - 7, -2*x - 4*b = 6. Put x, -4, 2 in descending order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 8*z - 4. Let a be v(3). Differentiate 12 - a - 9*i**3 + 13*i**3 wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/28)\/((-28)\/(-112)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 4. Let r(y) = 2*y**2 + y + 4. Let q(v) = -3*f(v) + 2*r(v). Let x be 1*3 - (68 - 61). What is q(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3257 is divided by 1407?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 14*t**2 - 34*t - 39. Calculate k(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57464709*i**5 + 11967*i**2 + 102*i + 3?\nAnswer: 3447882540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -75895.2105 and -925.\nAnswer: -76820.2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 2*v - v + v. Let r be i(3). What are the prime factors of 2 + r - (0 - 18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 20?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 11*f**2 + 12*f + 9. Let k be r(-12). Let j = 12 + k. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -17815?\nAnswer: -17817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j = -134*j - 57*j + 3999 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 1227.6739.\nAnswer: 1227.6739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 676*h - 3*h**3 + 5 + 2*h**2 - 5 - 260*h in the form p*h**3 + z*h**2 + d*h + a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -46, 15, 0, -11, -15 in ascending order.\nAnswer: -46, -15, -11, -6, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 69372 = -57*y - 53*y. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7746 = -0*s + 3*s, -3*l + 2*s + 4648 = 0. Suppose 3*d - 406 = 2*d + 4*c, -4*d - 3*c = -l. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 70 = 20*r. Solve 4*b = 4*m, -b + 0*b - 8 = -r*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 693.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 415 + 243 + 2*m - 24 + 0 + (-1 + 3 - 3)*(3*m + 4*m - 4*m).\nAnswer: -m + 634","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j**(-3\/8)\/j)\/j)*j)\/j))**(-48)\/((j*j*j**(37\/3))\/j*j**(1\/7)*j) assuming j is positive.\nAnswer: j**(2090\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111101010110 - -100100?\nAnswer: -10101111100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 47*z - 31. Let j be (6 + -10)*(-60)\/16. Let f be u(j). What is the nearest to 1 in 16, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-205884)\/129)\/42*-3\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582616.9 tonnes to micrograms.\nAnswer: 582616900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**3 + 19*q + 205?\nAnswer: -9*q**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5520*m - 55 = 5517*m + 4*w - 45 + 100, 126 = -2*m - 5*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -15*a**3 + 11080*a**2 - 180660*a + 115520 = 0.\nAnswer: 2\/3, 16, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 40*v**2 - 35. Let z(n) = n**2 - 1. Determine 4*d(g) - 140*z(g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/2)\/(-9*25\/225)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0)\/((-1)\/(-7)). Let r(i) = -i + 5. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2270, 4527, 6784?\n\"Answer: 2257*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 6:18 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 0*l = -91. Let g = -2 - l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 21*c - 6. Let r(d) = -2*d**2 + 10*d + 3. Let k(x) = 3*j(x) + 7*r(x). Let h(w) = 2*w + 3. Let u be h(-4). Calculate k(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353597 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s = -16*s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 66*v**2 - 121*v - 443. Let w be s(64). Let a(z) be the second derivative of 0*z**2 + 0*z**3 + 0 - 21*z + 1\/20*z**w + 1\/12*z**4. Factor a(b).\nAnswer: b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124171, -124172, -124173, -124174, -124175, -124176?\nAnswer: -124177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5\/6)\/(b*b**(-8\/5)))**(-8\/5)*(b**(-12)\/b*b**(-7\/6))**(11\/5) assuming b is positive.\nAnswer: b**(-4619\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 25*v**2 - 28*v - 70. Let p be x(-26). Is (2999\/(-6))\/(3\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60)\/(-10))\/((-36)\/(-31002)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*k - 191, 0 = -3*l - 2*k + 3*k + 140. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895177473.\nAnswer: 2895177473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5 = r. Let p be -2*(6\/(-4) - 1). Suppose 4*w - p - 7 = 0. Put r, w, -5 in increasing order.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 4*r**2 + 4*r - 2. Let q(x) = 7*x**3 + 8*x**2 + 8*x - 5. Let t(y) = 15*m(y) - 6*q(y). Factor t(n).\nAnswer: 3*n*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1 - (6 + (-2 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 21 = 4*l. Suppose -3*v + l = 1. Suppose v*h = 6*h - 5*c - 136, -2*c + 137 = 5*h. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 2016.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2842 and 6581386?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 6068.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -0.2 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from zuxrull?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 421659 and 2268.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3 (c) 5\/18 (d) 0.09 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/3 (b) -0.3 (c) 116 (d) 163 (e) -5 (f) 30 (g) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + 5525*j**2 - 5522*j**2 + 54*j**3.\nAnswer: 45*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 17. Let b be r(-5). Let z(p) = 3*p - 2. Let q be z(2). Calculate the greatest common factor of b and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 0)*(-4 - b + 4) + (-5*b + 3*b - 5*b)*(0 - 1 + 3))*(2 - 30 + 1 - 2*b) in the form y + x*b + h*b**2 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(25)\/((sqrt(20)\/sqrt(4) - sqrt(5)) + sqrt(5)) + sqrt(5) + sqrt(5)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30\/1669 - -1609\/3338. Sort b, -0.08, -1\/2, 114 in decreasing order.\nAnswer: 114, b, -0.08, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9 - n - 4 - 4*n**2 - 3. Let f(d) = 2*d**3 + 9*d**2 + 3*d - 5. What is -2*f(i) - 5*t(i)?\nAnswer: i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 91*f + 509. Give k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 3\/5*n**5 - 2*n**3 + 13*n + 2 + 2\/15*n**6 + 0*n**2 - 1\/3*n**4. Factor b(m).\nAnswer: 4*m*(m - 1)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:48 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4636 rounded to two decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.735608 milliseconds to seconds.\nAnswer: 0.003735608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 45*g. Let i(f) = 1479*f - 2961*f + 1478*f. What is a(i(v))?\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.46357\nAnswer: 0.231785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*u - 52 = 50 - 102 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let v(x) = 5*x + 9. Let y(u) = -5*f(u) + v(u). Let t(m) = 4*m - 10. Determine 6*t(d) + 5*y(d).\nAnswer: -d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 192 + 3*y**2 - 96 - 98 - 5*y**3 + 7*y**2 - 34*y in the form o*y + q*y**2 + w + m*y**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27813560 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 14958*v + 14908. Calculate z(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11.3. Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 348 = 18*u - 24*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 34 + 38 - 2*a.\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n. Let t(p) = 7*p - p - 6*p - 6*p. Determine t(z(m)).\nAnswer: 114*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-72))\/((-3)\/(-2))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17226 + -10?\nAnswer: -17236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9) - (3 + 170\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -6*x - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 47 + 17 = 0. Let r be (625*-2)\/(i\/49200). What is r rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42244 + 42434.149. Let m = -190 + p. What is m rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - a)*(-4 - 9 + 6).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3737 - -4358. What is the remainder when w is divided by 215?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11928 and 47660312?\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:58 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 2978\nAnswer: -14890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6695*b**2 + 4491 wrt b?\nAnswer: 13390*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (39\/27)\/((-107250)\/(-19800))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 33 = 4*v. Suppose 0 = 651*t + 5679 - 3688 - 29984. What is the least common multiple of v and t?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*f + 4203 = -276*f - 4818 - 9747 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-45)*-3)\/((-25)\/(1500\/(-8)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) 1\/9 (c) -2 (d) 5881\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*x - 71*x - 3*l + 11, -14 = 3*x - 2*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - w + 0*w)*(-689*w**2 + 14 + 7995*w**2 - 14) in the form f*w**2 + m*w**3 + b*w + v and give m.\nAnswer: -14612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 105*u**2 - u**3 - 7 - 94*u**2 + 0*u**3. Let y be w(7). Let z = -128 + y. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88590 is divided by 1384.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 14*c - 6. Let z(b) = 2*b**2 - 193*b - 2498. Let f be z(108). What is q(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 7. Let l = z + 23. Let t(o) = -o + 14. Let u be t(l). What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17373 - 17370. Solve 0 = -2*u - 3*x - 5, -f*u - 5*x = -8*x + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -212 - 291?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 15, -4, -43, -108, -205, -340?\n\"Answer: -t**3 - t**2 + 5*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 44*z + 233. Let w be q(38). Suppose -4 = -2*u + u. Solve -u*f + 5*o - 12 = 0, -3*f - w*o = -0*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 118 = -15*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s - 202. Suppose 2*l + 31 = 2*p + 7*l, 5*p - s = -3*l. Let h be (p - (6 - 4)) + 4. Is h greater than 52\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3*q - 2. Let x be r(4). Suppose -10*l + 16 = -x*l. Suppose l*z = -2*z + 340. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11474920\/9 or -1274992?\nAnswer: -11474920\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 239842 or 239843?\nAnswer: 239843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 24*z = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6366*s**2 - 7*s + 21. Let u(h) = -3181*h**2 - 3*h + 9. Calculate -14*u(t) + 6*z(t).\nAnswer: 6338*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3637.597 + -3843.597064. Let b = s - -206. What is b rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2715546 - 521383537\/192. Let i be (-6)\/128*(-3)\/(-9)*-5. Let n = j - i. Calculate the common denominator of -31\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) -5 (c) -16\/9 (d) -43\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 213.\nAnswer: -4\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*m**2 + 36\/7 + 24\/7*m.\nAnswer: 4*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n = -211*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 - -97?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0.07 (c) 4\/7 (d) 311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11385097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 37. Let r be l(-13). Suppose -v - 196 + 35 = -3*m, -r*m + 4*v = -94. Let t = 75 - m. Calculate the greatest common divisor of 140 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let a(s) be the third derivative of 3*s**5\/4 + 34*s**2 + 1. Calculate a(v(h)).\nAnswer: 45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + 38*1. Let k = l - 27. What is the units digit of 6\/33 + 20\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in -41, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-11)*(i*i**21*i*i)\/(i*i*i**(-5\/8)) assuming i is positive.\nAnswer: i**(1081\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46922, 93843, 140766, 187691, 234618, 281547?\nAnswer: 328478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91387001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + i - i**2 + (6 - 2 - 2)*(1 - 4 + 4 + (10 + 1 + 35)*(0 - 3 - 5) - 1 + 0 + 0)*(-2*i**2 + 2*i**2 - i**2) to c + d*i + h*i**2 and give h.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-7)*t*t**(2\/27)\/t*(t*t**(7\/2))\/(t**5\/t) assuming t is positive.\nAnswer: t**(463\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 29256*g.\nAnswer: -2*g*(g + 14628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3877 + 1326755250.35?\nAnswer: 1326755249.9623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*a**2 + 48*a**2 - 2 + 69*a**2.\nAnswer: 26*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 843887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t**2 + 2*t - 5. Let c = -1 + 17. Let r = c + -13. Let q be v(r). What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8012.9 and 1.\nAnswer: 8012.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 - 3*s**2 + 1. Suppose 2 = -j + 5. Suppose 9 = j*p + 3*l - 0*l, 0 = 4*p - 4*l + 28. What is the units digit of i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34198 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 5. Suppose -3*z + 2*z = -5. Let q be n(z). Suppose 3*k - 7*k - 8 = q. Sort k, -1, 0.\nAnswer: k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12000 = 4*v + 2*v. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.604 - 0.584. What is the nearest to z in 1\/24, -1\/3, -2\/5, -1?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q = -82*q + 5*z - 10, -z + 12 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + 2*d**2 + 3. Let q(w) = -w**2. Calculate -f(l) - 2*q(l).\nAnswer: 3*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 7*c = -41*c. Let s(q) be the third derivative of 0*q**5 - 1\/280*q**6 + 0*q + 0 + c*q**3 + 1\/56*q**4 - 9*q**2. Find b such that s(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -735.7 - -736. Sort 309, 1\/6, c, 0.4 in decreasing order.\nAnswer: 309, 0.4, c, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*a - 330. Let w be 1 - (-3 + a) - -3. Calculate the remainder when (-1360)\/w - (-1)\/(-3) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let m be n(-1). Let h be m - (-64)\/((-6)\/(-3)). Let j be 63\/6*(-4 - (-480)\/112). What is the greatest common divisor of j and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932 = -6*f + 2130. Which is the closest to 1? (a) f (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*z + 16, -3*z + 6*z - 2*p = 19. Let b = 37 - 14. Calculate the remainder when b is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6951601 + -4914601. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385*w**4 + 208354*w**3 - 791100132*w**2.\nAnswer: 9240*w + 1250124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.63*12\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 575 - 386. Suppose 10 = w - z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 + 20?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-3 - -22) + (0 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.1, -0.131, -23, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -37. Let k be 838\/1120 - (-2)\/(-7). Let f = k - 1\/16. Which is the biggest value? (a) -2\/3 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - i - 18 = -22*r, -3*r + 3*i = 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -338487.296 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-1968)*(-20)\/(-15)*-8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 975989 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11459\/287 + (-1656)\/(-22632).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:52 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 14, l: 5}. Give prob of picking 2 l and 2 s.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2675.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1473, 1455, 1435, 1413, 1389, 1363, 1335?\n\"Answer: -v**2 - 15*v + 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.83 times 60\nAnswer: -469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19680 + 1?\nAnswer: -1967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.21985 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/19 + -58\/95. Let x = -40.02 + 40. Are x and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k - 8 = 0. Let o be (2\/6)\/((-1)\/(-6)). Suppose -c - o*q + 0 - 6 = 0, c + 14 = -k*q. What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.076? (a) -10 (b) -4 (c) -3\/7 (d) -1\/16 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r + 0*r**4 + 0*r**5 - r**2 + 0*r**3 - 7\/3*r**6 - 8. What is the second derivative of b(j) wrt j?\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -379, 2\/3, -4, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15427362 or -1\/3?\nAnswer: -15427362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 66 - (2 - (-17 - 3))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (5 + (0 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v**2 - 5*v**2 - v**2 - 10*v + 15*v. Let c(o) = o**2. What is w(c(i))?\nAnswer: -6*i**4 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(39)*5 - sqrt(39))\/(sqrt(3) - sqrt(300)*1).\nAnswer: -14*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uss when three letters picked without replacement from {s: 4, u: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-124)\/62\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3\/9 - 832*b**2\/3 - 48146*b\/9 = 0.\nAnswer: -19, 0, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b - 6 = u, 10 = 5*u + 5*b. Suppose -182 = 49917*g - 49943*g. What is the greatest common factor of g and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*k + 43, -5*k + 3*p = -p - 61. Let b be 0\/5 - (0 + -1). What is the least common multiple of k and 4 - (b + 2 + -4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 - (-19 - -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 1. Let f be k(-2). Let w be -1 + (2 - (-2 + 5 - 4)). Put -2, f, w in decreasing order.\nAnswer: w, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -12 - 3) + 1. Find the common denominator of 2 - 151*a\/48 and (61\/(-3))\/(8\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -5672 and 5.\nAnswer: -28360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2945*a + 2920*a - 200 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -2.9. Let n = 260 - 261.7. Let g = h - n. Which is the third biggest value? (a) g (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2517 - -2513. Let n = 171 - 1195\/7. Which is the closest to n? (a) 2 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1768*j - 3471 + 53936 = -2575 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 479583, -4, -3 in ascending order.\nAnswer: -4, -3, 479583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h**2 + 34*h**2 + 35*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let r be 7\/c + 6\/6. Let m = -0.3 - -2.3. Is m greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w*w**7)\/w*w))**(2\/21) assuming w is positive.\nAnswer: w**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 6*u + 9. Let n be c(-7). Suppose -3*m - n*o + 15 = -0*m, -2*m - 3 = -3*o. Factor -2*l + 3*l**5 + l - 4*l**5 + 2*l**m.\nAnswer: -l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*f + 55*f**3 + 136*f - 70*f.\nAnswer: 55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -11 + (-3)\/((-12)\/24152) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from ppqpqppqpqpq?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4150 and -113\/4150.\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4443 = 3*k + c, 2*k - k + 4*c - 1481 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (46 - 54) + 1 + (-2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 95*b**3 + 12*b**2 + 12*b. Let k(y) = -95*y**3 - 14*y**2 - 14*y. Give 6*k(m) + 7*u(m).\nAnswer: 95*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**(16\/11)\/(o**(3\/5)*o*o\/o**2) assuming o is positive.\nAnswer: o**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 332\/9. Let r = -0.0489917 + 4.0489917. Which is the biggest value? (a) 1 (b) 0.03 (c) r (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1944 and -59\/22?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:25 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31500 and 2760450.\nAnswer: 82813500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*t + 5*t - 32*t in the form q*t + j and give q.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15216, -30419, -45622, -60825, -76028?\nAnswer: -91231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*p + 2*p, -4*m - 2*p + 220 = 0. Let q = m - 13. Let s = -195 - -199. What is the greatest common factor of s and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -160913 >= -12712108\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 + 12 = -j, 4*j + 5*i = 5. What is the closest to -1 in 6, 8\/3, j?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1131, 1121, 1097, 1053, 983?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 + 335. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 13669558.\nAnswer: 82017348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -302, -297, -290, -281?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 163\nAnswer: -4\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**5 - 4*a**5 - 5*a**5 + (-3*a**3 + 0*a + 0*a)*(-a**2 + 5*a**2 - 5*a**2) - 3*a**5 + 3*a**5 - a**5.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d + 100 - 45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167.228 - 0.228. Let m = -170 + i. Let g = -0.4 + 0.2. Which is the closest to g? (a) m (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4))**29*(r*r*r\/(r**(1\/3)*r))**6*(r**(-2))**(-6\/13)\/(r**(2\/11)\/r**(-3\/2)) assuming r is positive.\nAnswer: r**(26021\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 46, 32, 4, -34, 1 in ascending order.\nAnswer: -34, 1, 4, 6, 32, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/168*(-1890)\/(-180).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.73955 + -0.26047. Let b = n + 8. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 + 5. Suppose -8 = -2*k + 2. Let i(l) = l**3 - 4*l**2 - 4. Calculate k*i(v) + 4*b(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w + 34 = 4*x, -3*x + 4*w + 29 = 0. Let s(k) = -k**2 + 6*k + 7. Let n be s(x). Suppose -2*c + 25 = 2*f - 3*c, c - 1 = n. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by (-161)\/42*-6 - -139?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -5.8. Let t = -6904 - -6901. Let w = -2 - -1. Which is the third smallest value? (a) w (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t + 1. Let a(c) = 2*c**2 + 5*c + 6. Give -a(g) + 6*l(g).\nAnswer: 4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 5*p + 15. Let m be r(5). Let k = -15 - m. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 451 - 44. Find the common denominator of (71\/2)\/(h\/22) and -39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-44)\/(-4)))\/(-1) - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 + 8*b + 4. Let r be q(-8). Suppose -12 - 13 = -t - 3*w, -2*t = r*w - 52. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 30 = 4*c - 710, -2*c - 5*h = -364. List the prime factors of c.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.549 - -0.154. Let q = m - -3.395. Sort -100, -3, q.\nAnswer: -100, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/6 + 2*t**3\/9 + 16*t**2\/3 - 32*t\/3 - 495. Factor n(s).\nAnswer: -2*(s - 4)*(s - 1)*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - 560745?\nAnswer: -560720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.03 + -0.03. Let r = 8.679 - 1.679. What is the smallest value in -5, 1\/2, m, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3410 + -3391. Sort 2, -1, u, -4.\nAnswer: -4, -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2591425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20505 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 5. Let w be x(-4). Let m(h) = -h**3 - 4*h**2 + 4*h + 2. Is m(w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010110011101010100 (base 2) to base 4\nAnswer: 11112131110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*a**2 + 18*a**2 - 11*a**2)*(4 - 2 - 1)*(8 - 10 + 22).\nAnswer: 680*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2073*l + 1620*l - 776*l - 282*l in the form i + z*l and give z.\nAnswer: 2635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*87322630.\nAnswer: 43661315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16637 + -16617. Calculate the remainder when 8195 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/81)\/(-17) - 34\/1188\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -9, -19, -31, -45, -61, -79?\n\"Answer: -x**2 - 5*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 + 3 - 3*i + 4 - 1. Calculate x(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 1174380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.5 minus -3.8?\nAnswer: 123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:06 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*w + 102, 4*w + h - 3*h = 254. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112220 is divided by 56092.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t + 19*t + 67*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2178 + -137270.47978?\nAnswer: -137272.69758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*y - 149*y = 5. Which is the nearest to -1? (a) 89 (b) 4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 + -1 - (-20)\/110. Put w, 18, 1 in ascending order.\nAnswer: w, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5223987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)\/d*d**8)**(-17) assuming d is positive.\nAnswer: d**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 158860 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*b**2*j*x + 14*b**2*j - 45*b*j*x + 25*b*j + 12*b wrt b?\nAnswer: -114*j*x + 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -371838868 times 2?\nAnswer: -743677736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1 + -5) - (-82)\/(-8). Let o be (230\/70 + -3)\/(g\/(-14)). Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 124*j**4*v - 65*j*v - 74295*v + 1 wrt j?\nAnswer: 496*j**3*v - 65*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -9. Let w = 0 + 2. Suppose 0*z - 2*z + 12 = 0. Solve w*q - 20 = z*q - 4*d, -l = -q - 5*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208830 (base 12) to base 5.\nAnswer: 112401201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 6 + (5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 39*v - 178. Determine j(44).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, 0 = -3*q - 2*o + 11 + 22. Let t be (-2440)\/(-3570) + 3\/q*-2. Is -1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -26. Solve -4*y + 8 = b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, -1, 3, -4, 1, -15180.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 120)*(3 - 25\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 42*m**3 - 3*m**2 - 4. Let p(i) = 210*i**3 - 16*i**2 - 22. What is 3*p(l) - 16*w(l)?\nAnswer: -42*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -14. Let r = d - 89\/4. Suppose 5 = -m + 9. Which is the smallest value? (a) m (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 509.4882 years?\nAnswer: 0.5094882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u + 2\/7*u**5 + 62\/7*u**4 + 470\/7*u**3 + 150*u**2.\nAnswer: 2*u**2*(u + 5)**2*(u + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - k**3 + 0*k**3)*(46 - k**2 - 46 + 4*k - 4*k + 2*k**2 + 0*k**2 - 4*k**2 + 6*k**2 + (-k - k + 0*k)*(-2*k - k + 2*k) + 8*k**2 + k**2 + 2*k**2).\nAnswer: -32*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + -4 + sqrt(343) + -3)**2.\nAnswer: -2154 + 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 838800\/400 - ((-5)\/2 - 2\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3398, 3391, 3390, 3401, 3430, 3483?\nAnswer: 3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 8. Let t be q(-9). Let m be (-1 - 3\/t)*-4. Which is smaller: 15 or m?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -132280\/16403?\nAnswer: -132280\/16403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4)*w*w)\/w*w)**48\/((w**(2\/43)*w)\/w*w**(4\/11)) assuming w is positive.\nAnswer: w**(-22898\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 175733027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589000 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + m + 2. Let v be l(0). Suppose -15*g - 65 = -20*g. Suppose j + n - 4*n - g = 0, j - v*n = 11. Calculate the remainder when 25 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 1 = -19*o - 46 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Let a(h) = -h**3 - 2*h**2 - 2*h - 1. Let d be a(-2). Suppose d*p - 15 + s = 0. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11416*g**6 + g**2 + 23048*g?\nAnswer: 1369920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**4 - 8*g**3 + 84*g**2 - 18*g + 12039969.\nAnswer: -8*g**3 - 24*g**2 + 168*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 18*i + 7 - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 245?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53280 and 5490.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyyycyyycyccyyyycy. Give prob of picking 4 c.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7733, -15401, -23073, -30749, -38429, -46113?\n\"Answer: -2*f**2 - 7662*f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -2*a. Suppose 0 = 3*h + 5*n - 9, 3*n - a + 10 = 3*h. Suppose 0 = h*w + 8 + 13. Which is greater: -9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h + 286 - 570 - 66*h + 286.\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*m = -783*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00693 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*u**5 + 1\/5*u + 1\/5 + 8\/5*u**4 - 1\/5*u**3 - u**2.\nAnswer: -(u - 1)**3*(2*u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/11)\/p)\/p*p)\/(p**(-9)\/p))**(-3\/23)*(p**(-7)*p)\/(p**(4\/9)*p)*(p\/(((p\/p**5)\/p)\/p))\/p**(-5) assuming p is positive.\nAnswer: p**(7754\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25572577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 2, m: 1, y: 2}. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109151 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5247*u**4 + u**3 - u**2 + 1236 wrt u?\nAnswer: -20988*u**3 + 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 13*d**2 + 12*d + 2. Let b be m(12). Suppose 2*x = 4*s + 28, -6*x + 6 = -2*x + b*s. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/12)\/((253\/(-418))\/23)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2092, -4, -2\/7, -4\/3 in ascending order.\nAnswer: -4, -4\/3, -2\/7, 2092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 95747243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/12 and 151\/57792.\nAnswer: 57792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - u - 3*u)*(-2 + 0 + 0) - 2*u - 2*u + u + (1 + 1 + 0)*(-u + 0*u + 0*u) + 2*u - u - 2*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1376 and -145\/228.\nAnswer: 78432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l + 20. Let b be (24\/(-30))\/(l\/30). Solve 0 = -4*q + b + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7))**(-1\/19)*(r**5\/r)\/r**21 assuming r is positive.\nAnswer: r**(-317\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:30 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 199. Let i(r) = -83*r - 23. List the prime factors of i(o).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*(((q*q\/q**3*q)\/q)\/q)\/q*q))\/q)**(-44)*(q**(4\/13)\/q)\/q*(q\/((q**(-6)\/q)\/q))\/q)**(-29) assuming q is positive.\nAnswer: q**(14210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*g**3 - 671*b - 5*g**3 + 5*g**2 wrt g?\nAnswer: 6*b*g**2 - 15*g**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 6*j - 12. Let l be q(7). Calculate the remainder when 1 - (l + (-2 - 2)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910258.\nAnswer: 2, 7, 136447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w**2 + 41*w - 41*w + (-6*w**2 + 0*w**2 - w**2)*(-2 + 1 - 1) + w**2 - w**2 + 2*w**2.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898562 is divided by 224417.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 668.8053 litres?\nAnswer: 668805.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5 + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 14*g - 10. Let t be x(3). What is the greatest common divisor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 8 + 19*(-9)\/27. What is the closest to p in -0.5, -0.16, 0.4, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 72*a + 574. Let i be m(63). Solve 0 = 3*d + 8 + i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1429\/8 + -12695\/72. Let y = 1271\/136 + -25\/17. Find the common denominator of y and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 76 = -4*o. Let y = -21 + o. Let t be 6\/y*(-18)\/27. Which is the third biggest value? (a) t (b) -6\/5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s - 2. Let h be 1 + (2 - (0 + 5)). Let b be r(h). Solve -4*m - b = 2*n, -1 + 15 = 2*n - 5*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8069*n = 8057*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(38\/(-247) + 22\/(-26)). Solve -23*i + 19*i + l = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l. Suppose 2*z - 5*h + 5 = -8, l = -3*z - h + 23. Suppose 2*b = z*b - 36. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 20*r**2 - 25*r - 10.\nAnswer: -5*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/117727464 and -37\/1026693?\nAnswer: 353182392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0129 - 0.1871. Sort 2, v, -2, -5, 0.2 in increasing order.\nAnswer: -5, -2, v, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3311\/(-12) - (-22)\/33. Let x = 276 + k. Let x*j - 3\/4*j**4 + 1\/2*j**2 - 1\/4*j**5 + 1\/4 - 1\/2*j**3 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) - (-36)\/10. Suppose -o = l*o - 5. What is the lowest common multiple of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -20*l**3 - 3. Suppose -14*j + 0*j - 5*t = 37, 0 = 3*j - 2*t + 11. Let w(o) = -41*o**3 - 7. Give j*w(s) + 7*y(s).\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 28 = -18 - 138. Solve -114 = -27*p + z*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*d - 20 = 0, -5*d - 36 = 16*i - 12*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68*k - 6*k + 27*k - 45*k + 63 wrt k.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*j + 2 = 2*l, -3*l = 2*j - 11. Suppose -l*v = -v - 560. What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 151 = 5*i - 6*v, -v + 149 = 5*i. Suppose -424*n + 423*n = -i. Calculate the greatest common factor of n and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4292*z + 2145*z + 2146*z - w - 2 = 0, 3*z - 4*w - 36 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:57 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 18. Let i be r(-17). Let n be (-4)\/(-1)*i\/(-1). Let d = 1 + 1. Solve y + n = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 1. Let x be l(0). Suppose -143*q = -129*q + 14. What is the lowest common multiple of 21 and 2 - x - -26*(2 + q)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76268 and 44459?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501883?\nAnswer: 113, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394 is divided by 127?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/32 - (-6)\/16)*20\/(-9)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101434 and 1558?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + r**2 - r**2 + (5*r + 6 - 6)*(-2 + 1 - 8)*(4*r - 5*r + 2*r).\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*((sqrt(17) - (0 + sqrt(17))*2) + sqrt(136)\/sqrt(200) + 5)**2.\nAnswer: -21528\/25 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 531 - 499 - (59 + -14)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 12330\/13, 10\/9, -3 in increasing order.\nAnswer: -3, 10\/9, 12330\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**3 + 544*c**2 + 118*c - 292. Calculate h(78).\nAnswer: -3256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.38105m to nanometers.\nAnswer: 63381050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -6 (b) 4\/5 (c) -9 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7611, -7644, -7687, -7734, -7779, -7816?\nAnswer: -7839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1133, -44, -9, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, -9, -44, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9078*0.4\nAnswer: -3631.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/(z*z**7*z))\/z*z*z*z\/z**(-17) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 17374?\nAnswer: 34748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5978 = -2*m + 3*l, 3*l = -3*m + m + 5990. Let k be m\/99 - (-2)\/(-9). Suppose 0 = -5*p + 10*p - k. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v - 8. Let f be (-8)\/v*8*-43750. Round f to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.543926g?\nAnswer: 8543926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 12:58 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2050477362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 3*l - 2. Suppose 8*x = -1665 - 255. Let u = -241 - x. What is s(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(2880) - sqrt(2880)*2 - sqrt(2880)) - (2 + sqrt(2880) + 1)) + (0 + 2*sqrt(2880) + sqrt(2880) + sqrt(2880)*2 + -2)*-5)**2.\nAnswer: -9408*sqrt(5) + 2257969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t - 6. What is the smallest common multiple of ((-6)\/8)\/(t\/(1 - -47)) and 11 - (-8)\/12*-3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 288111973?\nAnswer: 288111874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 - 3577?\nAnswer: -3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-77 - (55 - 98)) + 120\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(153) - sqrt(153)*2) - sqrt(153))**2 - -1*sqrt(153)*6.\nAnswer: -42*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q**3 + 267*q**2 - 280*q**2 - q - 2*q**4 - 84*q**3 as s + i*q + k*q**4 + b*q**3 + u*q**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/7 - 4*j**4\/7 + 16*j**3\/7 - 4*j**2\/7 - 2*j + 8\/7 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 712, 1088, 1448, 1792, 2120?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2661*p**3 - 61202*p**2 + 21*p + 18. Calculate o(-23).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*j - 130706 + 130112 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let u(b) = -1285*b**2 - 6*b - 30. Let q(a) = 3493920*a**2 + 16315*a + 81575. Let c(i) = -6*q(i) - 16315*u(i). Determine h(c(w)).\nAnswer: 2510*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.435 - -2.035. Which is the nearest to d? (a) 0.1 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 33 = 13. Suppose -3*w + y*k = 6, -k = -w - 3*k - 2. What is the remainder when 14 is divided by (-1 - -3)\/1 - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 5*c = -66 + 32, -2*x - 4*c = 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -23116?\nAnswer: -23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2365\/206 - 2\/103. Let b = 21459\/10 - 2144. Calculate the common denominator of b and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7456 = -256642*a + 256409*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001187792 rounded to six dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:10 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(72))*-1)**2 - (-1 + sqrt(72))*-2 - (-1*(((-2 + sqrt(72) + sqrt(72) - sqrt(72)) + 5)**2 + sqrt(72)) + 5).\nAnswer: 54*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 127*d**2 + 3166*d + 361. Determine k(-93).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by ((-85)\/10 - -2)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - 11*u**4 + 7*u**4)*(3 + 0 - 5)*(0 - 1 + 0).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2307500784?\nAnswer: 2, 3, 197831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14096 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*t - 58*t = -63 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4329 + 5569. Calculate the highest common factor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 6. What is the units digit of n(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66840*w**2 + 160419*w wrt w.\nAnswer: -133680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -1. Let c be ((-66)\/4 + -2)*-2. Suppose -t = -w + c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -122\/7 (b) -6585 (c) -1 (d) -5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from uauuuuuuuuuuuuuuuuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 42 + -9 - (31 + 3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -772 (base 12) to base 2.\nAnswer: -10001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7744?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 2 = 0. Let y be (3 - -6)*l*1. Suppose 0 = 3*w - y, -a = -0*a + 3*w + 691. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/16)\/((-2)\/(-8)). Suppose 0*h - 8 = -3*h + 2*x, 3*x = p*h - 9. Suppose h*y + y - 156 = 3*q, 272 = 5*y - 2*q. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 482320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + w = w + 15. Solve -3*j = -3*y - w, 5*y - 2*j + 3*j + 17 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2411 - -5514. Round g to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 - 11*m**2 + 2*m - 6. Let g be o(-6). Let j = g - 167. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 - 277. Let y be -1*2*(-1)\/(-22). Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - 7 - (0 + -5)) - 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 4*z**2 + 3*z**2)*(-140 + 140 - 74*z**2) as m*z + i + b*z**2 + r*z**4 + f*z**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1. Let f(x) = -x - 4. Let j = 65 - 68. What is j*d(o) - f(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 178 = 5*h. Suppose -5*w + w + h = 0. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 137*c**2 - 68*c - 68. What is the remainder when i(-1) is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 5 - (122 + -141).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*t - 2*m, -4*t + 284*m = 283*m + 40 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -25. Let h = n - 6. Solve -2 + h = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1198399002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 2 - l**2 - 6 - 7*l**2.\nAnswer: -7*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*((-3)\/5)\/(54\/(-60)). Suppose 5*r - 3*j - 295 = -79, -x*j = -r + 46. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 14*m + 18. Let x be l(-15). Suppose 2*u = -i + 65, x*i + 2*u - 3*u - 174 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 13*w**2 - 22*w - 20. Let b be q(-11). Let c be 1\/(3\/2)*-27. Let v = c - b. Solve 0 = -5*l + 2*t + 2*t - 19, 4*l + 14 = v*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 4, -0.7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -2, 3, 13\/4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*g**3*x**2 + g**3*x + g**3 - 23*g**2*x**3 - 10*g*x - 2*x**2 - 5 wrt x?\nAnswer: -424*g**3 - 138*g**2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1304773 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 196099\/(-95)*((-15)\/3374)\/3. Let k = g + 3\/241. Find the common denominator of 37\/12 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316eb3 (base 15) in base 12?\nAnswer: 955366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575753444 to the nearest integer?\nAnswer: 23995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27 - (6 + 1 - 0). Let m be 48\/u*(-40)\/(-16). Solve -g + m = -5*g + 2*a, a - 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610344 is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/77)\/(1\/301). Suppose -j + 13 = -v. Let h(i) = 3*i**2 + 8*i + 3. What is the remainder when v is divided by h(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-12)\/(-18))\/((-6)\/(-171)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 563 and 1.\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6623.4 to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 1, a: 5, d: 1}. What is prob of picking 1 a and 1 y?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 496832 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220839 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 4, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t + 0*t + 0*t + 0*t + 5*t + (-3 + 1 + 3)*(-2*t - 3*t + 3*t) - t - 3 + 3)*(2*t**3 - 4*t**3 - t**3).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010202 (base 8) in base 13?\nAnswer: 94320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1) - 2*-1. Let d = -3 - -4. Let g(z) = 1. Let t(n) = -n - 5. Let i(l) = d*t(l) - g(l). What is i(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 17 - 20*r**2 + 1 + 9.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 7:51 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 48 = 2*t - 2*h, 2*t = 4*h + 52. Suppose 2*q = 104 - t. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/1249 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 77 = 121. What is the units digit of -103*(-240)\/j - 6\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163518660 by -738.\nAnswer: 221570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-43)\/(r\/((((r**1\/r)\/r)\/r*r*r*r)\/r*r*r*r))**(-8\/13) assuming r is positive.\nAnswer: r**(1102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291629 by 13.\nAnswer: -22433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-113)\/(-5) - 2\/(-5) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/((-4)\/(1 + 2135) - 0). Let n be ((-2)\/(-3))\/((-6)\/s). Let j = 7826\/11 - n. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/119788, 0.046 in decreasing order.\nAnswer: 0.046, -1\/119788, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 9. Let b = -663 + 663.4. What is the nearest to 2\/9 in 5, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 + 1 = 0, -2*g - b + 145 = 0. Let f be 7 + (2 - 3) - -179. What is the greatest common factor of g and f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 903048043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*z = 9, -217282*r + 2*z - 13 = -217283*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - v = -36*n - 31, 0 = 3*n - 5*v + 36 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -39.7, -2, -0.2, -1045 in descending order.\nAnswer: -0.2, -0.3, -2, -39.7, -1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u - 4. Suppose -3*m = -k - 3, 0*m - 5*m + 5 = 5*k. Let i(w) = w + 0*w + 1 + 0 + k. Calculate -10*i(o) - 2*n(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011559799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 13*v**2 + v - 3. Let d(x) = 3*x**3 - 55*x**2 + x + 30. Let g(k) = -d(k) + 4*h(k). Let f(p) = p**2 + p + 1. Give -3*f(b) + g(b).\nAnswer: b**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 16.5059\nAnswer: -13.20472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.45947989 + 0.44294.\nAnswer: 0.90241989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 269987564450*r**2\/13 - 2939320*r\/13 + 8\/13.\nAnswer: 2*(367415*r - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9 - 1) + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.302812 rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/84 and -41\/142?\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/6 (c) -216 (d) 0.5 (e) -2 (f) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from macpmcppcachhacannpc. Give prob of sequence cpp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**3 - 24*d**2 - 37*d - 619. Let s be o(-14). Calculate the greatest common divisor of 51 and s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:50 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27284, 106399, 237340, 420107?\nAnswer: 654700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-10)\/(t\/(t*t**8))*t**(-8)\/t**8)**(-3\/8))**(-1\/2) assuming t is positive.\nAnswer: t**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 18. Solve -3*s - h = 0, 0*c = -2*c + 2*s - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 11*q**2 + 7*q + 9. Give u(-12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11772851.\nAnswer: 941, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.07. Let p = -0.02 + i. Which is the second smallest value? (a) -2\/5 (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 - 65 + 122 + 164*y to the form q*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 390*i**2 + 6*i + 13. Let n(s) = -396*s**2 - 5*s - 10. Calculate 5*j(c) + 6*n(c).\nAnswer: -426*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 - 30*s**3 + 67*s**3.\nAnswer: 75*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3991874184 to the nearest integer?\nAnswer: 63181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 2590*x - 9288*x + 12*x**3 + 2584*x + 2583*x + 1531*x.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -169. Let k be c\/((-126)\/35) + (-54)\/(-10). Factor -4\/5*g - 2\/5*g**2 - k.\nAnswer: -2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 17239482?\nAnswer: 17239500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t*t**(-6)*t*t)\/t**(2\/7))\/(t*t*t*t**(2\/7)\/t)**(36\/7) assuming t is positive.\nAnswer: t**(-590\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52294 is divided by 4018.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**3 + 0 + y**2 - 1\/60*y**5 + 1\/8*y**4 + 0*y. Let f(l) = l**2 - 305*l - 43045. Let s be f(-105). Determine v(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 15, 2, -27, 5, 0 in descending order.\nAnswer: 15, 5, 2, 0, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1801, -3299, -4797, -6295?\nAnswer: -7793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x + 4. Let b be ((-9)\/5)\/((-9)\/30). What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32879 - 65753 + 32874 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r**3 + r + 9*r**3 + 22*r - 22*r - 19*r**3 - 3*r**3 - 3*r**3 + (2 - 2*r - 2)*(4 + r**2 - 4).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -1\/55*k**6 - 6\/55*k**5 + 0*k**2 + 0 - 3*k - 5\/22*k**4 - 2\/11*k**3. Solve i(o) = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006951304 to six dps.\nAnswer: -0.000695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1587 - 1588. Which is greater: -63\/74 or c?\nAnswer: -63\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -519 + 519. Let c(f) = f**3 + f**2 + f + 11. Give c(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 - 325*q - 151. Determine u(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354365659?\nAnswer: 643, 551113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -97*31\/(-1113) - 3. Let d = k + 2\/159. What is the second biggest value in 5, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 16. Let k be r(7). Let b = 15 - k. Which is greater: b or 23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 + 0 + (-2 + -5)\/1. Solve 4*i + 8*t - 11*t = -10, -i - 2*t - g = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 20 = -21*x. Let h = -77 - -79. Suppose h*o - o = x*v + 42, -v + 12 = o. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3435 is divided by 491.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4)*h*h\/h**4*h**(-14)\/h*h\/((h*h**(9\/7))\/h))**(-25) assuming h is positive.\nAnswer: h**(12625\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9138 - -16643. Solve 7*x + 7484 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 56*n**3 + 2772*n**2 + 92576*n - 195776 = 0. Calculate n.\nAnswer: -76, -28, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -421 + 33?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -115.8 and 981.6.\nAnswer: -113669.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(-9*8\/(-2916)). Suppose 28*w + 1 + p = 0. Sort 2, 26, w in descending order.\nAnswer: 26, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4718 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - 1)*3\/(-9). Suppose -n*l = -57 + 21. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 10)\/((-2)\/(-71)) - -7. Is w <= -490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.6 and 725.\nAnswer: 712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3709, -3722, -3735?\nAnswer: -3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 40, 59, 76, 91, 104?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(48)*-2 + 0 + sqrt(528)\/(sqrt(44)\/sqrt(4)) + 3*(sqrt(48) + (sqrt(48) - sqrt(192))) + sqrt(48))**2*-1 + 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 904.0976cm?\nAnswer: 9040976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -16 + (-39 + 29 + 11 - (0 - 4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 52. Let z = d - -47. Put 6, z, 3 in decreasing order.\nAnswer: 6, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.1515 and 0.07?\nAnswer: -1.690605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163513658.\nAnswer: 2, 7, 11, 19, 29, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + o**3 + 2*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m + 733 = 0, 2*d - 346 - 136 = -2*m. What are the prime factors of d?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -1309*h**4\/4 - h**3 + h**2 + 3. Let b be i(-8). What is b rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -43. Let j be -3 - (-10)\/b - -2. Sort -3, j, -13, -2 in ascending order.\nAnswer: -13, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 29*v + 1249. Let w be j(-43). Solve 0 = w*x - 3*k + 5, 2*x = 3*k + k - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/4)\/(6\/24). Suppose -f + 0 = t. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05074389604 and 0.1.\nAnswer: 0.15074389604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5908478 (base 10) to base 5.\nAnswer: -3003032403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 98\/35 + 1\/5. Let a = 1 + 13. Calculate the lowest common multiple of 2\/(-3)*u*-4 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1. Let h(y) = -3*y**2 - 7*y + 7. Let i(r) = -h(r) - 3*n(r). Let g be i(-3). Suppose -g*z = -4*s + 38 + 40, 6 = 2*z. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24037315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 82728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -945\/13?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qksjqekqezkzqk. Give prob of picking 1 j, 1 z, and 1 s.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8615 + -4.1385. Let c = 1\/6 + -2\/3. Is c not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 448.5236?\nAnswer: -8521.9484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -1) + 0 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -117933*x - 117972. Determine n(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 395456*v - 19548180992.\nAnswer: -2*(v - 98864)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -213477369*p**2 + 367167834?\nAnswer: -426954738*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-4)*2\/3. Factor 4*q**4 + 3*q**5 - 2*q**x - 2*q**4 - 2*q**5 - q**3.\nAnswer: -q**3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:02 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p - 10. Let y(d) = 6 - 1 + 7*d - 4 + 6. Let i(k) = 5*g(k) + 7*y(k). Let z be i(1). Let v(x) = -x**3 + x. Determine v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2433 and -2?\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 20*o + 294. Determine t(-12).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 67. Determine p(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 822 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 31*v**2 + 27*v - 85. Determine l(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01139 - -147.60861. Let i = y + 1.38. Let q = 148.999566 - i. Round q to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 168. Let t = -12 + 7. Which is the third smallest value? (a) g (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 44 = -124. Let j(m) = -18*m - 43. Let d(w) = -3*w**2 - 3*w - 3. Let l be d(-1). What is the remainder when h is divided by j(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553 divided by 5?\nAnswer: 2553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 128*o + 804.\nAnswer: -(o - 134)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 + 4*o**2)*(-2*o**3 + 0*o**2 + 0*o**2) + (-o - 2*o**5 + o)*(1 + 2 - 6).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(-6)))\/((s\/s**(-2\/9))\/s))\/(((s\/s**(3\/5))\/s)\/(s\/s**(-1\/2))) assuming s is positive.\nAnswer: s**(799\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151252087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. What is the third derivative of -f**2 - f**4 + 5*f**4 - 6*f**h + 5*f**4 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/36 - (-5)\/(-3). Let h = -3 - -3. Let l = 126 - 125.94. Which is the closest to h? (a) l (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -63 - 63?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82823, -165645, -248467, -331289, -414111?\n\"Answer: -82822*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -697539\/2 and -348771 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9547785\/17 or -561633?\nAnswer: -561633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12)*(78\/(-9) + -10 + 24).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 + 2*p**2 + (-2*p - 2*p + 3*p)*(-5*p + p + 2*p) + 3*p**2 + 3*p**2 - 5*p**2 - 3 + 3 + p**2 + (2 - 2 - p)*(p - 3*p + 3*p) - 1 + 1 + 2*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1979 or -2\/541?\nAnswer: -2\/541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/15132 and 127\/5820?\nAnswer: 75660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-24)\/(-18))\/(-4)*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 - 455*j - 92. Let c be n(51). What is the greatest common factor of 2142 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**5\/5 + 18*x**4\/5 + 36*x**3\/5 + 6*x**2 + 9*x\/5 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13954, 55895, 125798, 223663?\n\"Answer: 13981*w**2 - 2*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/360 + s**4\/3 - 14*s**2. Let w(q) be the second derivative of d(q). Let z(n) = -14*n**2 + 2*n. Determine z(w(x)).\nAnswer: -56*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*h - 272 + 16 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*p + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2701, -5414, -8137, -10876, -13637, -16426?\nAnswer: -19249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1698 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3443 and 440?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77528270 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13682 = 6*i - 34974, 4*i = 5*p - 121754. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/5)*m)\/m)**(-37)*m**0\/(m\/((m*m**1)\/m))*(m**(1\/2)*m*m**(-2\/5))**40 assuming m is positive.\nAnswer: m**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-390)\/(-7280))\/((18\/(-16))\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8696*n + 8694*n + 0.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 + 4*c. Let a = -166 + 156. Let f be 1*a*95\/190. What is t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*l + 165, -m - 1 = -4*l + 134. Let q(v) = v**3 + v**2 + 3*v + 3. Let z be q(3). Suppose -k = -z - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3043, 120, 63\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 369*d - 4 + 4 - 296*d to the form v*d + j and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*x**4 - 112*x**3 - 2*x**2 + 306005 with respect to x.\nAnswer: 224*x**3 - 336*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72\/77 + -4\/11. Suppose 3*d = -2*d. Suppose d = -q + 3*q - 12. Sort q, 1, c in increasing order.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 8 = -3*z, 11*r = 2*z + 13*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/30 and -67\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t = 78 - 213. Is 5 - t - 5 - -372 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 6 = -12*z. Find the second derivative of -4*t + 3*t**3 - 3*t**z - t**5 wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3934 and 0.03736177.\nAnswer: 3934.03736177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 1010101010?\nAnswer: -1010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 - 198449?\nAnswer: -1983a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 7. Let s be w(-5). Suppose 4*g - 41199996 = s*g. Suppose -2*x - o = 3*o + 20600016, -o = -4*x - g. Round x to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 3\/7 (c) 2\/221 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027164 to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -x. Suppose x*c = 37 - 9. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2493 divided by 831?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((71 - 63) + 0 + -78)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -46.000000912. What is j rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + 240*t**2 - 487*t + 92. What is i(-122)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 27 - (5 - (-4 + 12)). Calculate the lowest common multiple of (-6)\/9 - q\/3 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -7 + 1. Let q be ((-27)\/18)\/(r\/4). Solve 24 - 9 = q*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*g - 187 - 160, 0 = -3*g - 3. Let n = c - -36. Let f = n - -54. Calculate the smallest common multiple of 16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n + 16. Let u be x(0). Suppose s - 2*s + u = 0. Suppose -5*g - s = -51. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + 201?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 + 10*l**3\/3 - 14*l**2\/3 + 2*l.\nAnswer: -2*l*(l - 3)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 184. Let m = 183 + i. Solve m*c + 3 = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:10 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*4\/10*5. Suppose 0 = -5*o - h + 19, -2*o - 3*h - 19 = -6*o. Differentiate -3 + 4 - 3*d**a + o*d**2 with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 38*m**4 + 2*m**3\/3 + m**2 - 4*m - 2. Let d be q(4). Let v = -6764 + d. Round v to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -761.1 and 4.\nAnswer: -3044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - y**2 - 8*y + 7*y**2 - 6*y**2 + 2*y**3 as t*y**2 + r + h*y**3 + q*y and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*n**2 - 7*n**2 + 4 - 8 + 6 - 4 as g*n + b*n**2 + r and give b.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/5 - 2461177*w**2 - 37858695255363*w\/5 + 37858707561249\/5 = 0.\nAnswer: -6152943, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 a factor of 2823852738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -495111 divided by -2\nAnswer: 495111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001148 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or 600?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -75171 > -75176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - 1180\/6 - 6\/(-9). Let f = -172 - c. What is the greatest common factor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30 - ((-480)\/2240 - (-463)\/1050)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k + 294. Let g(i) = 3*i - 84. Let c(q) = 7*g(q) + 2*p(q). Let d(y) = -26*y + 1. What is c(h) - d(h)?\nAnswer: 25*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45745, 45747, 45751, 45757?\n\"Answer: b**2 - b + 45745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**1*j\/(j*j*(j\/j**(-4\/3))\/j)*j**(2\/19)\/(j\/j**(2\/3)*j) assuming j is positive.\nAnswer: j**(-203\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let z(l) = -l. Let d(x) = 2*u(x) + 12*z(x). Let k(c) be the first derivative of -2 + 2\/3*c**3 + 0*c**2 + 0*c. What is d(k(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbpbqqffuqlqqlfl. What is prob of sequence fp?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1134*q**3 + 2*q**2 + 2467*q.\nAnswer: 6804*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0 + 8*o**3 + 46\/5*o**4 + 0*o + 14\/5*o**5 + 8\/5*o**2 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmf when three letters picked without replacement from zfzzfmfzz.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - 44\/(-112)*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -586*d. Let k(c) = 104053*c. Give v(k(b)).\nAnswer: -60975058*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 2*w + 17. Let l be q(-10). Suppose -4*g + 3*g + l = 0. Let p = -35 + g. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 1374.\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019206 rounded to six decimal places?\nAnswer: -0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**5\/5 + 1111*v**4\/8 - 38503*v**3\/3 - 19321*v**2\/4 + 4516. Suppose c(q) = 0. Calculate q.\nAnswer: -1\/4, 0, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*w = -21, -7*p = -6*p + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.78372ml?\nAnswer: 0.08178372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 + 1 + (-2 - 1 + 2)*(-1 - 1 + 3) - 13 + 6 + 8)*(-2 - a**2 + 2)*(13 - 3*a - 13) to h + g*a**2 + y*a + w*a**3 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5 = -5*w, 2*c - 3*w + 26 - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {f: 1, n: 1, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237598020?\nAnswer: 2, 3, 5, 11, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, -2\/11, -4 in ascending order.\nAnswer: -5, -4, -2\/11, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + j**3 + 2*j + j)*((2 - 7 + 3)*(0 - 2 + 4) + 4 - 4 + 1 + 46 + 15 - 1) to the form s*j + g*j**3 + a*j**2 + t and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3301*u + 284700 = -454*u for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*n - 12. Solve w + 4 = 5*v - 0*w, n*w = 5*v - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/123 or 3.86?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w*w*w**(-11)*w)*w\/(w**(-1\/17)\/w)*w**9*w*w**(2\/13))**(-22\/7) assuming w is positive.\nAnswer: w**(-93412\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohzdyhyyyozs. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kssawkkwskvsvs. What is prob of sequence kkvw?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6897))\/(sqrt(432) - (3*sqrt(432) - sqrt(432))).\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -11. Let l be (-2)\/d - 8\/6. What is the units digit of 22 - (1 - (0 + l))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 49, -1, 2.8 in descending order.\nAnswer: 49, 2.8, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44588 - -313364\/7. Let q be 649\/((-10)\/4 - 1). Let t = q + c. Calculate the common denominator of t and -83\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15019 + 15029. Solve -3*d - 2*y + 22 = 0, 19 = d + 5*y - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1081.579\nAnswer: 1081.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2712 - 0.1012. Let a = p + -5.16895. Round a to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34196?\nAnswer: 2, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 3376631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 3. Suppose s - 2 = 11. Suppose -37 = 5*p - 2*b, 2*p - 3 = 2*b - s. Let m be g(p). Round m to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*h + 590, -343 - 533 = -3*h + 3*d. Suppose z - h = -3*v, -2*v + 499 = 3*v - z. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -74\/19, -5, 0.1.\nAnswer: -5, -74\/19, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 2\/17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 10. Let a be w(5). What is the greatest common factor of a and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let x(j) = 107*j - 3. Calculate x(v(q)).\nAnswer: -107*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4511, -4084, -3371, -2372, -1087?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 88. Let k be p(-19). Sort 3, k, -5 in increasing order.\nAnswer: k, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (sqrt(1375)*-2)\/sqrt(11)*6).\nAnswer: -360*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -261 and 14.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvk when three letters picked without replacement from vvvqvkhhq.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13478, -13543, -13718, -14057, -14614?\nAnswer: -15443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 8. Let l be n(-13). Suppose 0 = i - 8 + l. What is the units digit of (-1)\/(((-3)\/i)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 0 = -30. Suppose 0 = 4*f + h*r - 4220, -5*f + 0*f - 5*r + 5280 = 0. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88427899*w**2 - 91454729*w wrt w?\nAnswer: 176855798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 15430497.\nAnswer: 16\/15430497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 5. Determine m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfyyl. Give prob of sequence flly.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 110280.3ng?\nAnswer: 0.1102803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 270*u**2 - 196*u - 975. What is the tens digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146524 and 486669.\nAnswer: 13626732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -106. Let p = 8 + q. Let o = 66 - p. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 11*o**2 + 12*o - 2. What is q(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:07 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - (-296)\/12. Let h = -8 + 12. Suppose h*f - d + 0 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18831151 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852131 divided by -7.\nAnswer: -121733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 87 - 3433\nAnswer: -3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 6, -95, 0, 2, 0.5, 3422\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1450)\/(-950))\/((-11)\/209).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061519 * 0.1.\nAnswer: 0.0061519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**5 + 91100*l**4 + 663936800*l**3 + 2419385699200*l**2 + 4408120743942400*l + 3212638398185221120.\nAnswer: 5*(l + 3644)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - 476. Let i = -402 - b. Calculate the greatest common factor of 40 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17741781?\nAnswer: 3, 599, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 818623 to the power of 1\/2, to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*a**2 - 26*a**2 + 12*a - 9*a in the form z*a**2 + f*a + x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 + 9*w - 23. Give r(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118683, -473682, -1065347, -1893678, -2958675, -4260338?\nAnswer: -5798667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let m be (1 + 14\/(-10))\/((-7)\/35). Let u(r) = 36*r**m - 23*r**2 - 47*r**2. What is u(b(k))?\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*k**3 - 3*k**2 + 73 - 73 - 35*k**3 to p + u*k**2 + h*k + b*k**3 and give b.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22334, -21651, -20960, -20261, -19554, -18839?\nAnswer: -18116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1748*s - 1751*s - 2 - 1.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.8 + 46.4. Let l be -2*2*3\/(-12). Which is the third smallest value? (a) v (b) -1 (c) l (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3\/36454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v. Let i(b) = -4*b**3 + 5*b**2 + 4*b + 2. Give i(g) + 4*w(g).\nAnswer: -4*g**3 + g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000359238305 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 832 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**4 - 103*b**3 - 30*b**2 + 3500*b + 1000.\nAnswer: (b - 10)**2*(b + 5)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let g be 2 + (60\/6 + -1)*-2. Let t(u) = 6*u**2 + 15*u. Let l(b) = 18*b**2 + 48*b. Let z(c) = g*t(c) + 5*l(c). Calculate y(z(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 5*p**2 - p + 3. Suppose -2*b + 6 + 7 = 3*o, -3*b + 22 = 5*o. Let q be t(o). Suppose -14 = r + 4*r + 2*c, -14 = 4*r + 3*c. Is q equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Suppose 5*x = 16 - 6. Let o(h) = -2*h**2 + x*h**2 + 3*h**2 - 2*h**2. Determine o(c(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 52. Give z(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(5 + -4 + sqrt(176)) + 1).\nAnswer: -96*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*s + p + 21, -10 = 5*s + 6*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2*a**3\/3 + a**2 + 2*a + 7038. Let h be (-1)\/(-1*2\/6). Let x(y) = 3*y**2 - 3*y - 2. Determine h*x(f) + 4*q(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2297 + -2221. What is the remainder when 606 is divided by f?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -5)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1654 - 740. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 + 4*v**2 + 21*v - 20*v - 4*v**2 as i + x*v + q*v**3 + s*v**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172235?\nAnswer: 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51620, -51615, -51606, -51593, -51576, -51555?\n\"Answer: 2*y**2 - y - 51621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 7*k - 11. Let w be s(9). Suppose -2*m + 57 = w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221775 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5634 and 8.\nAnswer: 22536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 73, -2 in ascending order.\nAnswer: -2, 1, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 - 13*w**2 + 72*w - 193. Calculate r(4).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/11 - 214054\/(-8987)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 540 + i + 110 + 156 + 89.\nAnswer: i - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + d3?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 5*b - 75. Let s = b - 17. Calculate the greatest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:15 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 11. Let x be n(-7). Calculate the greatest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*c = 876, -c + 183 = -2*i + 609. Is i 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 {u: 1, e: 1, h: 1, q: 1, g: 1, x: 2}. Give prob of picking 1 g and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(540))\/(sqrt(24)\/(sqrt(2) - sqrt(8) - sqrt(2))) + sqrt(180) + 0 + 2 + sqrt(720))**2 + -4.\nAnswer: 120*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1840)\/138)\/((-84)\/(-18)))\/((-2)\/21)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2\/7*r**2 - 88 + 16\/7*r = 0.\nAnswer: -22, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Let n = j + -4.4. Put -0.3, 5, n in descending order.\nAnswer: 5, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 79*j - 1366. Give y(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 16. Suppose 0 = -3*k - 5*l + 13 + 26, -3*l = -b*k + 23. What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2527 - 0.0263. Let w = d + -0.021. Put 0, w, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.04, -1, 463, 27.9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9839 = 23*t - 127080. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 80277?\nAnswer: 80277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 41. What is the closest to -1\/3 in 4, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 8:47 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/9 + -89\/18. Let f = y - -33\/10. Which is the second smallest value? (a) f (b) -1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/2*18\/12*20\/(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -104.5476749?\nAnswer: 104.8476749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 2*v. Let b be t(2). Suppose 37*f + 11 = 11. Solve n + f*n + 8 = 4*w, -2*w + b*n = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 70581*c - 141297*c + 2 - 2 + 70720*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18177, -18164, -18141, -18102, -18041, -17952, -17829?\n\"Answer: s**3 - s**2 + 9*s - 18186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1934 times -5\nAnswer: -9670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 6*m = 0. Suppose -3*l - 5*l + 6632 = m. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 11, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 13*m - 97. Round m to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*s + 1928 = -17*s - 15*s. What is the smallest common multiple of 5094 and s?\nAnswer: 20376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*f - 7, 2 - 7 = 5*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-1)\/(9\/(-16806)). Let v = 1908 - s. Let o = 39 - v. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1153.93 + 1149. Let v = -0.07 + h. Sort v, 4\/5, -3 in increasing order.\nAnswer: v, -3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409188 and 3.\nAnswer: 409188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.1 (c) -0.4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*g**2 + 517*g**2 - 138*g**2 - 127*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 3, r: 1, p: 4, x: 2}. What is prob of sequence axag?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(459) - sqrt(51))\/(sqrt(3) - sqrt(48)*-4))**2 - (sqrt(153) + sqrt(153)*2 + -4 + (-5*sqrt(153)*1)**2)*-4.\nAnswer: 512*sqrt(17)\/17 + 260353\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161574*l - 546 = 161560*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -36*h + 1. Let t be k(-1). Let y = 24 - 13. Let x = t - y. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 10, x: 2, z: 1, v: 4}. What is prob of sequence xrb?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 220\/7524*24\/20. Which is the smallest value? (a) 2\/17 (b) -1 (c) 2\/13 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -0.5. Let m = r - -1. Which is the smallest value? (a) m (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*-428.0825\nAnswer: -4280.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 10. Let t be x(5). Let o be (-19)\/(-21) + (-4)\/12. Sort t, o, 4 in descending order.\nAnswer: 4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -57 and -62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 - -1001?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-700))\/(4\/(-14))*25\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114109089?\nAnswer: 3, 38036363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 112120?\nAnswer: -112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -432.1 and 2.3437542329.\nAnswer: -429.7562457671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*s - 2*a - 0, a - 4 = s. What is the tens digit of 113 + (2\/s)\/((-6)\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-43)*h\/((h*h**(-3\/4)*h)\/h*h)*h*h**(-2\/25)\/h)**(-21\/4) assuming h is positive.\nAnswer: h**(-59507\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13088 - 5781 + 4103 = 642*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o**6\/o))\/o))**34\/(o*o\/((o**(-3\/4)\/o)\/o*o)*o**(-3)) assuming o is positive.\nAnswer: o**(949\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.84, -14095, 4, 0.2 in ascending order.\nAnswer: -14095, -0.84, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 33, 3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303023640 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128887?\nAnswer: 11, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803208769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 + 27 = 0. Suppose -m*j + 2*j = 0. Let d be (-8)\/6*4\/(4\/(-3)). Solve -5*o - 4*f + 7 = j, 2 = d*o + 5*f - 3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(495)\/(sqrt(99)\/sqrt(9)) - (4*sqrt(200) - sqrt(200))\/sqrt(10).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 32*z - 11. Let v be o(2). Calculate the greatest common divisor of 212 and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91448208?\nAnswer: 2, 3, 635057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 254650 or 254653?\nAnswer: 254653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:57 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2615*p**2 - 91735*p + 7350.\nAnswer: 5*(p - 35)*(523*p - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/1779 - -21383\/12453. Determine n, given that -a + 6\/7*n**2 + 2*n - 6\/7*n**3 - 2\/7*n**4 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 49, 48, 31, -8, -75?\n\"Answer: -i**3 + i**2 + 13*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 1, v: 2, u: 1, h: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0561 to three dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -445 and -13134464.\nAnswer: -13134909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 14. Calculate the remainder when 16 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 296145, 1184633, 2665453, 4738605, 7404089, 10661905, 14512053?\n\"Answer: 296166*j**2 - 10*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13247 + -13290. What is the nearest to 1\/5 in -3\/2, y, -5, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 87.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32813\/8638 - 8\/617. Let n = 51077 + -3881793\/76. Calculate the common denominator of n and r.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1101 and 482095018471.\nAnswer: 482095018471.1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 3)*(31*n**3 + 1 + 17096*n**4 - 17095*n**4 + n - 5).\nAnswer: 4*n**4 + 124*n**3 + 4*n - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20063 and -1.862.\nAnswer: 37357.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10012022121 (base 3) to base 13.\nAnswer: -22846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 25 - (-22 - 0)) + -38?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 367491816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = 0, -5*x - 23 = 374*j - 372*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -415 + 418. Which is the smallest value? (a) v (b) 5 (c) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 15, 0 = -3*z + 2*h - 3*h + 15. Let w = z - 3. Solve q + 0 = -4*t - 3, 2*t + w = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0976 - -49.2024. Let x = g + -49. Which is the nearest to 10? (a) x (b) 7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 3*l**2 - l + 1. Let b be n(3). Let u be (4 + b + -3)*-1. Let z = u - -4. Calculate the remainder when 9 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/2100 - b**6\/100 + 9*b**5\/100 - 9*b**4\/20 + 5*b**3\/2 + 5*b**2. Let f(h) be the first derivative of w(h). Factor f(o).\nAnswer: 2*(o - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/(x*x**(-1)))\/x)\/x)**(-16)\/(x*x**(-2\/3))**(-37\/2))**(5\/13))**(2\/9) assuming x is positive.\nAnswer: x**(665\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034071 is divided by 3225.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccnmctttctttctctn. Give prob of picking 2 t.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 + n**2 - 7*n**2 + 2*n**2 + 5*n**2 - 6*n**2 + (-4*n - n + 3*n)*(111*n + 111*n - 284*n) as y*n**2 + s + f*n and give y.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1533, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 151, 356, 561, 766?\n\"Answer: 205*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -100 in -1, 4, -137\/4?\nAnswer: -137\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151641 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2 (b) -121272 (c) 0.2 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2211, -17512, -59043, -139920, -273259?\nAnswer: -472176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -563 (base 8) to base 15\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m - 4. Let r(j) = -27*j - 15. Let t = 143 + -158. Determine t*y(z) + 4*r(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.428 times 1.66\nAnswer: -0.71048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6931846?\nAnswer: 2, 19, 182417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -875164867 + -781.8.\nAnswer: -875165648.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1589185670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = 0, 0 = -x + 4*t + t + 25. Let w = x + -4. Sort 4, 3, w.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -23*b**2 + 140*b + 5. Let k be s(6). Suppose -k*i - 152 = 2*i. Sort i, 1, -2 in decreasing order.\nAnswer: 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22366 and 1412662.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -2006, -4377, -7660, -11855, -16962?\nAnswer: -22981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4458 * 6.67\nAnswer: 29734.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 45*k**2 - 3 + 20*k**2 + 26*k**2 to v*k + b + c*k**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -187. Let k = h + 95. What is k rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 35. Let h(u) = -u - 12. Let a(y) = 11*h(y) - 4*p(y). Let w be a(-6). What is the third derivative of m**w + 0*m**4 + m**2 + m**4 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -103, -250, -461, -736, -1075, -1478?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 at most as big as 2851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06756 and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/990 and -79\/8316?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*a + 23 = 0, 0 = -c + a + 4 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89*2\/238 + 148\/(-15022)*58?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 45*d + 532 = 0. What is the second derivative of -7*b**5 + d*b**2 - 6*b**2 + 9 + 2*b + 3*b + 5*b**5 wrt b?\nAnswer: -40*b**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 0.00856, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 183*k**2 - 2*k. Let y(f) = f**2 + f. Determine -o(w) - 4*y(w).\nAnswer: -187*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/77 and 91\/15.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (8 + -8 - 3)) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.857 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 75. Let i = 41.03774 - 0.03774. Let d = i - u. What is the smallest value in -1, -0.44, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/17, 5 in decreasing order.\nAnswer: 5, -1\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/5))**44*(w**(-1))**(-5\/16) assuming w is positive.\nAnswer: w**(4953\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-3) - (-5)\/15. Let p(h) = h**3 + 4*h**2 - 6*h + 7. Let c be p(3). Suppose -a*w = 3*f - 19, -5*w = -f + c - 14. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-61)\/((-2562)\/1050).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2835)\/810*-4*(-2)\/56*-52?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**5\/20 - 5*p**4\/6 - p**2 + 2*p + 1166. Let m(b) = b**3 - 11*b**2 - 3. Determine 2*m(x) - 3*n(x).\nAnswer: -x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1557499 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6138001\/2)\/((-9)\/(-90)) + -5. What is p rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17179\/(-16 - 231\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -102. What is the units digit of 1\/((1\/380)\/(27\/d))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/((-39)\/(-78))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/119 + 248\/595. Let h = -0.2 - -0.2. Let w = 313\/9 + -35. What is the nearest to b in w, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 6. Suppose -2*h - 4 = -a. Let d = -31303 + 31304. Sort d, h, -4 in ascending order.\nAnswer: -4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-240)\/(-18) - 3\/9. Suppose 23 = 18*g - z. Solve g*u - 7*u = 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40994 - 234496 = -18*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2761747 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/24 - 2*y**3\/3 + y**2. Let f be a(-8). Find the second derivative of -4*d**4 + 2*d - 4*d + d**f - 3*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k + 79*k - 153*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -30716000 to the nearest 100000.\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -367, -369, -371, -373, -375, -377?\n\"Answer: -2*c - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34.93 (b) 0.3 (c) -4 (d) -121\/157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + q + (-1 - 1 - 9)*(-2 - 4*q + 2).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(16\/(-8))*(4\/(-1))\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 96071.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + h + 3. Let q(o) = -4*o**2 + o + 3. Determine -5*k(a) + 4*q(a).\nAnswer: -a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - -30) + (10 - (19 - -14)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.02, -0.1, -0.09, -1\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 9*o - 121 + 121.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3b30 (base 12) to base 4.\nAnswer: 310102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 42 = w + 3*w, 2*w - 129 = 5*a. Let m = a + 41. Which is smaller: -2\/9 or m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*u - 207 = -97*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d + 2. Let g(r) = -6*r - 2. Let w(n) = -2*g(n) - 3*u(n). Let h be 16 + (-29)\/(29\/14). Give w(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 7 = 2*s, 14*s + 3*q = 12*s + 4*q + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 601*w + 12. Let c(v) = 6*v + 2. Give 5*c(t) - d(t).\nAnswer: -571*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, -16 = -b - 4*i + 12. Let h = -177080 + 43915761\/248. Find the common denominator of (-426)\/(-144) + b\/(-12) and h.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 80383?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -62. Which is smaller: -19 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-168)\/(-60) + 1\/5. Let z(s) = 4*s**2 + 6*s - 28. What is the remainder when 101 is divided by z(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/k**0*k)*k)**22)**(-3)\/((k\/(k\/k**(-2\/3)))**(-11))**40 assuming k is positive.\nAnswer: k**(-880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 50*x + 1. Let a be h(3). Suppose 162 = 8*b - 1854. Let u = b - a. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4007774, -4007772, -4007770?\n\"Answer: 2*o - 4007776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(-2\/3)\/s))*s*s)\/s**(-5\/3))\/((s*s*s**(4\/5)*s)\/(((s**(3\/2)\/s)\/s)\/s*s*s)))\/(s**(-3\/4)*s*(s**(-11)\/s)\/s)**(-12\/11) assuming s is positive.\nAnswer: s**(-1563\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4505532 (base 6) in base 5?\nAnswer: -24224114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/257323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + -2*sqrt(98) + -2 + -2 + 2*sqrt(98))*-1 - -1*(3 + (sqrt(98) + 0 + sqrt(98))*1))*3)**2.\nAnswer: 882*sqrt(2) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-143) - 45\/(-39). Sort p, 2, 6.\nAnswer: p, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -15. Let d(j) = j - 1. Let n(p) = p + 5. Let y(q) = -4*d(q) - n(q). Let c(m) = 9*m + 2. Let h(x) = -3*c(x) - 5*y(x). What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434435199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1454444387, -1454444388, -1454444389?\nAnswer: -1454444390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7749 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 887129\/128 + -6931. Calculate the common denominator of m and 67\/36.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -4 - 1 - 0. Let d be 20\/(-6) - (-40)\/10. Let i = -2 + 3. Sort d, b, i in descending order.\nAnswer: b, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 421 = 2*d, -7*d = -5*i - 3*d + 2129. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*(4\/10 + (-15 - 4235\/(-350))) - -10\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31490 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose 3*w - 5 = -5*p + 24, -y*w = -p - 15. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 4, a: 1, e: 4, l: 2, v: 3}. Give prob of picking 1 e and 1 a.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111848813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206*k**3 + 1268*k - 1268*k)*(6*k - 3*k - 2*k**2 - 2*k).\nAnswer: 412*k**5 - 206*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:28 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2516)\/185)\/(((-6)\/(-10))\/(-3)). Let d = v + 0. Does 34 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*x - 15. Solve 3*t = 2*t + x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5910.173 - -5938.2. Let k = -0.027 + s. Let a = -27.2 + k. Round a to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/2)\/(4\/12). Suppose 4*p + 17 - 1 = 0. Let m = p - b. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.4, 0, -4, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let b(w) = 12*w**3 - 14*w**2 + 15. Let m(c) = -b(c) + y(c). Let x(a) = 3*a**3 - 4*a**2 + 4. Calculate 4*m(n) + 15*x(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*u + 15, -3*n + 4*n - 5*u + 18019 - 18006 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 45*f - 21*f - 20*f + 4*f**2 + 1. Determine l(3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0.2, 0.213, 14\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -987132501 or -987132500?\nAnswer: -987132500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from ynyyany?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1598922 and 17550?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 10. Let s(a) = -a + 8. Let l(p) = 4*n(p) + 5*s(p). Let w(j) = 3*j**2 + 21*j + 21. Let g(m) = -3*l(m) + w(m). Let g(h) = 0. Calculate h.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25970 and 77602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67424 and 28896.\nAnswer: 202272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, -91, -101, -115, -133, -155?\n\"Answer: -2*c**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 87\/4*v**4 + 82 - 46*v + 0*v**2 + 0*v**3. What is the first derivative of o(s) wrt s?\nAnswer: 261*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 17 + 108)*(9*i**2 - 4*i**3 - 9*i**2).\nAnswer: -484*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 9*k - 8*k. Suppose k*h - h = 8. Let b be (3 + -3)*(-2)\/h. Which is smaller: b or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:20 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 357993935846 less than 0.1?\nAnswer: -357993935845.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-48)\/(-127)) - 1. Let q = -34\/3 - k. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 14, 17, 18, 17, 14, 9?\n\"Answer: -d**2 + 8*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 9. Let d be x(3). Let s be 1\/12*(d - 1). Let h = 0.25 + -0.27. Which is the third biggest value? (a) s (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185 + 187. Which is the third biggest value? (a) 6 (b) m (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 1. Suppose -5*i + 2*r = 28, 2*i - 2 - 6 = -4*r. Let s be (0 + (-3)\/(-4))*i. What is the units digit of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.7 + 8. Which is the smallest value? (a) v (b) -0.1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24379, 24276, 24153, 24010, 23847, 23664, 23461?\nAnswer: 23238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*q**2 + 839*a*q + 7662*a wrt q.\nAnswer: 6*a*q + 839*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 9 + 3. Is v\/((-1)\/2)*(-1271)\/(-82) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 4. What is y(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1)*6\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 9*k - 196. Suppose k*s = 4*s + 189640. What is s rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82243560*m - 423857313 with respect to m.\nAnswer: 82243560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-20))\/(4689\/171930)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -215, -766, -1843, -3620, -6271, -9970, -14891?\n\"Answer: -29*r**3 - 2*r**2 + 10*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b + 1194 = 324*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5) - (6\/(-141) + (-226052)\/29140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 70?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 406653268*q - 333271807 wrt q.\nAnswer: 406653268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 6630?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7211*d + 93859. Give h(13).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -1163, 1 in decreasing order.\nAnswer: 3, 1, -7, -1163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-38))\/(((-5)\/6)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3752\/(-268))\/(5\/((-20)\/(-16)))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let x(b) = 7604*b**2. Determine x(r(d)).\nAnswer: 7604*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:24 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zebkkbzlzzzczekze. What is prob of picking 1 c, 1 z, and 1 k?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-125)\/20)\/(2\/(-48)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (12 - (4 + (-2 - -1 - -6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 5.2. Let h = -0.07 + -2.93. Let v = h - i. Which is the second smallest value? (a) v (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647108*-3.\nAnswer: 1941324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1313, 2687, 4055, 5417, 6773, 8123, 9467?\n\"Answer: -3*y**2 + 1383*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**2 + 52750*a - 17585.\nAnswer: 5*(a + 3517)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 9:51 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*w**6*z - w**3*z**3 + 367*w**2 - z**3 wrt w?\nAnswer: 3600*w**3*z - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:58 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**6\/15 - 42*w**5\/5 + 529*w**4\/2 + 7480*w**3\/3 + 5808*w**2 - 1143*w + 1. Factor o(z).\nAnswer: 2*(z - 44)**2*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.43 in 0, -3, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21294 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t. Let l(v) = 10 + 16 - 3*v - 7*v + 16 - 41. Give b(l(k)).\nAnswer: 50*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0.0575. Let p = -0.6395 + a. Round p to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0 - 1 - h + 2*h. Let k be (10 + 55\/11)*2\/(-3). Let x be 1\/(-5)*(k - (-5 + 0)). Calculate s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2\/(-6))\/((-55)\/(-33))). Calculate the greatest common factor of h and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 496513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3668, -7324, -10942, -14510, -18016, -21448, -24794, -28042?\n\"Answer: 2*b**3 + 7*b**2 - 3691*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 39*v - 324. Let q(s) = 19*s - 161. Let p(w) = -6*l(w) + 13*q(w). Let m be p(7). Is m at most -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -35\/3, 0.2 in increasing order.\nAnswer: -35\/3, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 7*p**2 - 11*p + 34. Let b be m(6). Suppose -3*r + 20 = b*z, -6*z + 4*r = -z - 25. Solve l - 3*k = -3*l + 20, -z*l - 3*k + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 13*q + 102, 4*q - q + 13 = -5*c - 1 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 56995*y - 56996*y - 9, 5*y + 2*s + 33 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 + 4*a**3 + 0*a**3 + (-3 + 3 + a)*(-4*a**2 + 2*a**2 + a**2) + (-2*a + 4*a - a)*(2*a**2 - a**2 + 0*a**2) to u*a**2 + d*a**3 + n + l*a and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-120)\/9*(-9)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 4. Let o(s) = 4*s + 4. Let k(f) = -6*i(f) - 7*o(f). What is the lowest common multiple of 7\/(((-3)\/2)\/(-3)) and k(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 85. Put 2\/3, 2\/9, b in descending order.\nAnswer: 2\/3, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/1 - ((-2 - 2) + 3)\/((-1290)\/5160). Let h = 0 + 0. Let n = -11 - -16. Sort h, n, s, -5 in increasing order.\nAnswer: -5, s, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16585129 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let c(h) = -h**2 - 3. Let b(q) = -3*q**2 + q - 9. Let s(u) = -3*b(u) + 8*c(u). What is the units digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/10, 3, 100, 1.25?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278586033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -146.1. Which is the third smallest value? (a) n (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157356 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j**2)*(1 + 14*j - 1)*(4 - 1 - 6)*(1 + 2 - 1).\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*g = 3*g - 14, -5*l + 5*g = -20. Suppose -4*d + l*p - 16 = 7*p, 2*p + 4 = 0. Which is the second smallest value? (a) d (b) 40 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 30. Suppose j + 3*f - n = -0*j, -2*j - f + 1 = 0. Are j and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Let k = j - 2. Which is the second smallest value? (a) -4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -1.0078.\nAnswer: -1.4078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l - 3. Let p be o(-6). Let -29*t - 29*t**2 - 39*t**p - 12*t**4 + 3 + 8*t - 16*t**2 - 6 = 0. Calculate t.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 - 6) + -18 + -120\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/10*(-1150)\/345?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16009285?\nAnswer: 5, 3201857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 + -1 + 11 + (-28 - (35 + -15))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**2 - 99*i - 573. Let j(p) = 6*p**2 + 98*p + 574. Let c(q) = 5*q + 8. Let s be c(-2). Let b(v) = s*u(v) - 3*j(v). Suppose b(o) = 0. Calculate o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49021555?\nAnswer: 5, 11, 53, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88.8*30.\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-6))\/((-5)\/(-15)). Solve -4*r + k - 8 = -k, -5*r - h*k + 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59837 times -28?\nAnswer: 1675436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -3\/16 (b) -0.1 (c) 5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 52 - 187. Let o = -79\/3 - h. Let z = 9 - 8.1. Which is the closest to o? (a) -3\/8 (b) -2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 663460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**7\/210 + o**5\/15 + 7*o**2\/2 + 11*o. Let r(i) be the first derivative of h(i). Find the third derivative of r(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25746 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/28, -2.5, -4\/11, 5, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-42))\/(8\/(-12))*(-5)\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1451, -1449, -1447?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 136\/9, -209059.\nAnswer: -209059, -1\/10, 136\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, q: 1, n: 2, h: 6}. Give prob of sequence nyy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (656\/(-492))\/((-17)\/((-357)\/350)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 0.6. Let r = -0.875 + g. Let c = -0.025033 + r. Round c to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498 - 3*i - 8*i + i.\nAnswer: -10*i - 498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -1) + 10 + 1\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/i**3)\/i*i))**(-1\/8))**(-21) assuming i is positive.\nAnswer: i**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257259 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3221.034 centuries?\nAnswer: 322103.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0112239 + 0.0113. What is r rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1302)\/1395)\/(-8*(-2)\/20)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h + 107. Let q be j(8). Solve -q = 5*t - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.4, -1, -16, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sspp when four letters picked without replacement from {p: 7, s: 2, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 48*s**2 - 21*s + 558. Calculate k(24).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 38294*c**2 - 14*c + 2. Let i be k(11). Let j = i + 9966578. Suppose w - j = -w. What is w rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-256)\/(-10))\/(8\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8055034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 345, 5 in descending order.\nAnswer: 345, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (179388\/7)\/4 - 36\/(-126) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -56401877625756?\nAnswer: 56401877625760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -955318328 divided by 8?\nAnswer: -119414791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521316?\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43379 + 347035\/8. Determine j, given that -3\/4*j**2 + 3\/8*j + c = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 148 = -7*b. Let a = -4.6736 - 0.3264. Sort a, -2\/5, b, -3\/5 in decreasing order.\nAnswer: b, -2\/5, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 2 = -v, 8*y = 5*y - 5*v + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17238827 to the power of 1\/3, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 - -6275?\nAnswer: 6275.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f - 21 = 0. Let c(x) = 0*x + x + 5 + x**2 - 7*x. What is the tens digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 4*sqrt(768))\/sqrt(6).\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let c = t - -8. Solve -c = 4*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 5, 0.5, -2, -53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(4 + 48\/(-15)). Solve 0 = j*u - 5*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 38*t + u + 5 = 0, -5*t + 4*u = 45. Let x(p) = -2*p**2 - 4*p + 1. What is x(t)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 43*h - 10. Suppose -5*r + 78 = 3*t, h*t - 7*r - 93 = -3*r. Suppose -2*z + 37 = z - 4*w, -4*w = 16. What is the highest common divisor of z and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 - -246. Let i = d - 104.89. Let r(m) = -m**2 + 11*m - 7. Let z be r(10). Put z, i, 4 in descending order.\nAnswer: 4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {y: 4, f: 6, k: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 1881 - 2*m**3 - 8*m + 932 + 935.\nAnswer: -2*m**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-7\/4)\/(c*c**(-6)*c*c**(-2\/19)))**(-44) assuming c is positive.\nAnswer: c**(-1969\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 10*t - 5. Let j be w(8). Suppose -3*o - 2*o + j = -m, 0 = -4*o + 4. Let d(b) = -b**2 - 6*b + 2. List the prime factors of d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -18, -48, -112, -222, -390, -628?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/((-3)\/6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.70398 kilometers to millimeters.\nAnswer: 46703980","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 231101 = -4*b, 107*b = 103*b - 5*h + 231051. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 158*q**2 - 353*q + 15407. Give v(80).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5940*a + 40 = -5945*a. Let g(c) = -c**2 - 9*c + 19. Determine g(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 10*b**2 - 4*b - 15. Suppose -2*q - 3*t + 20 = 2*t, 0 = 3*t - 12. Let u(s) = -s + 11. Let i be u(q). List the prime factors of d(i).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -63501?\nAnswer: -63536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**2 - 2*f - 1 + 0*f**4 + 7\/5*f**5 + 0*f**3. What is the first derivative of k(d) wrt d?\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.05 + 0.25. Let u = l - -0.8. Sort -0.1, u, 5 in decreasing order.\nAnswer: 5, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g - 5. Let h be ((-8)\/(-20))\/((-1)\/(-30)). Suppose 4*f = 4*x - h, 0 = x - 2*f - 1 - 6. Let o = 5 + x. What is u(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -679096 or -679097?\nAnswer: -679096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110489757 divided by -2254893.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 30 = -87. Let f = -10 - j. Let w be 5\/((-6)\/f + 1). Solve x = 4*x - w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3380.06 in ascending order.\nAnswer: -4, -2, 3380.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*m + 208, 5*m - 163 = 4*u + 46. Suppose -4*n = -n + 126. Let y = n + m. Let d(z) = 6*z**3 + z**2 - 1. Give d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 10*u**2 - 8*u + 11. Let i be p(-9). Suppose -4*r = 16, 2*y + i*y = 2*r + 128. Is (140\/y)\/(4\/282) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-307 + 225 + 279 + 1755)*(0*y - 3*y + 5*y)*(4 + 0 - 2) in the form l + h*y and give h.\nAnswer: 7808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/141 - -289\/987. What is the biggest value in 4, 0, -1\/5, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x + 6*x - 5*x)*(-3 + 3 - 2*x).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3552, 3248, 2966, 2718, 2516, 2372, 2298?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -273543\/7 and -39078 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 14*d + 11*d - 68*d + 34*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.889568 decades to months.\nAnswer: 1066.74816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(70 - 45 - 59)*(0 - 1 + 2)*(2*q + 3 - 3).\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - -31. Let w = z - 36. Let t = w - 2. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*n**4 + 4*n**2 - 556 with respect to n.\nAnswer: 480*n**3 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1, 465, 0, 3, -50, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/18*(4263\/(-35))\/(-29)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-4)*q\/((((q**(-7)*q*q)\/q)\/q)\/q)*q*q**(-1\/8)*(q\/(q\/(q*q\/q**0)))**(3\/2)*q*q\/(q\/q**(1\/3))*q**3 assuming q is positive.\nAnswer: q**(413\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 3*j + 3. Let i be c(-3). Let f = -47 + 49. Let u be (f - i)*-3 - 6. What is u rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4978 + 3310 = 0. Suppose 3*k + f = -3*f + 2117, -3*k + 5*f = -l. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -679086, -2716373, -6111854, -10865529, -16977398, -24447461, -33275718?\n\"Answer: -679097*m**2 + 4*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230707 times 25?\nAnswer: -5767675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -3*g. Suppose -35 - 25 = -g*v. Suppose v = 5*p - 35. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from qdqttqtqtttd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from {z: 10, u: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - 3*r + 12*r)*(4*r - 5*r - 2*r).\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, 7327, 1 in decreasing order.\nAnswer: 7327, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = m. Let t = 676 - 676.5. Which is the third biggest value? (a) m (b) t (c) 2\/3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1438.86 from 2054309.\nAnswer: 2055747.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199702?\nAnswer: 2, 3, 197, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (243\/(-216) - 21\/24)\/(-1). Factor 3\/8*p**x + 726 - 33*p.\nAnswer: 3*(p - 44)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 31. Suppose 0 = 5*l + 2*n - 64, z*n + 5*n = -2*l + 13. What is the remainder when (-3)\/((2\/(-46))\/1) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 2*j + 5*t, 47*t - 284 = -j + 49*t. What is the highest common factor of 1190 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.13034109 minus -212996?\nAnswer: 212993.86965891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 7173 = -l, 28686 = 4*l - 2*m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:02 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Sort 4, r, -2.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8601338 is divided by 2867106.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 169 = -5*m, -5*m + 0*m = -5*p + 440. Suppose -p + 543 = 3*v. Suppose -2*u = 2*u - 76. What is the greatest common factor of v and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 + 30*d**2 + 40*d + 15 = 0. What is d?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117589.3 + 0.12115.\nAnswer: -117589.17885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1741, -6725, -15031, -26659?\nAnswer: -41609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q = 55*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*n**3 - 30*n**2 + 14885*n + 17391313?\nAnswer: -15*n**2 - 60*n + 14885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/6)\/(3*(-4)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -47. Let z be (r\/48)\/((-4)\/(-30)). Solve z*c - 15 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r + 11. Let h be a(-8). Suppose -j = -s - h, -5*j + 246 = -s - s. Suppose -4*g - j + 152 = 0. Calculate the highest common factor of g and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/6 - 29*r + 14. Let n(s) be the second derivative of -131*s**3\/6 - s**2 - 5*s. Calculate h(n(f)).\nAnswer: -131*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-103)\/(-2266)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/8*-4)\/((-18)\/((-6912)\/(-176)))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 15. Suppose 2*c = 2 - 12. Let r(b) = b**2 + b + 2. Calculate the lowest common multiple of r(c) and y(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 2*q - 97*q**2 - 93*q**2 + 276*q**2 - 91*q**2 + 2778.\nAnswer: -5*q**2 - q + 2778","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 23, -1, -0.02.\nAnswer: -1, -0.02, 0.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12444 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 5520065*c + 182156700.\nAnswer: 5*(c + 33)*(c + 1103980)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -5*h**4\/12 + h**2\/2 + 2*h - 3. Let z(q) be the first derivative of a(q). Differentiate z(y) wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 45 = -5*d - 46*g, 3*g = 0. Let k = 31 - 20. Is k < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(7\/3)*((((o*o\/o**(-1\/2))\/o*o)\/o)\/o)\/o**(-2\/11) assuming o is positive.\nAnswer: o**(-263\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 5. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t - 70*t + 88 = 0. What is the lowest common multiple of 16 and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39193*x + 1364 = -39224*x for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlsjuvuxvjuu. What is prob of picking 1 x and 1 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 317, 592, 829, 1028, 1189?\n\"Answer: -19*a**2 + 332*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*33\/(-209)*(-4)\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4873*i**6 - 12*i**2 + 11537 - 11559 + i - i + i wrt i?\nAnswer: 584760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*l = 392*l + 77511. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 r when three letters picked without replacement from {j: 2, c: 2, q: 1, r: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-285)\/266*14\/(-12))\/((-7)\/84)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 4*r**3 + 101*r - 101*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -725*o**2 - 2601*o + 2601*o to the form y*o + h*o**2 + z and give h.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5. Suppose w - 3 = 0, -93*t + 3 = -96*t + 5*w. Let c(k) = k. Give t*c(u) - g(u).\nAnswer: 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)\/(i*i*i*(i*i**(-4\/9))\/i)*i**(-12)*i*i*i*i*i*i*i**(-4\/7)*i)**50 assuming i is positive.\nAnswer: i**(-428900\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 103 - 112 - (-5 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t + 112*t + 12960 = -154*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/9655 and -143\/360.\nAnswer: 695160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -12*c + 41*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020211121 (base 3) to base 13.\nAnswer: 231b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167614783199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose -3*y = -3 - l. Suppose 2*i + y*i = 0. Let d(u) = u**2 - 4. What is d(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 796885\/9 or 88543?\nAnswer: 796885\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375970 and 32535160.\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162734, 162646, 162558?\nAnswer: 162470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0714 + 0.07138051. Round c to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 16*y - 81. Let z be m(-4). Sort 2, 53, -2, z in descending order.\nAnswer: 53, 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 6*o + 2*b + 84, 80 = 4*o - b. Let r be o\/(-76) - 62\/8. Let q(n) = -2*n - 4. Determine q(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301 + -96. Round r to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2870)\/(-8) + 2\/8. Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 2*y**3 + 1 + 2*y**3 + (0 + 0 + y**2)*(y + 2*y - y) in the form d*y**3 + n*y**2 + m + a*y and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 5*c + 9*c + 7*c + 3*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/237614 and 69\/45695.\nAnswer: 1188070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*c - 5 = -0, -4*c + 12 = 0. Solve 0 = 3*m - 7 + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3054 by -4.\nAnswer: -1527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-4) - ((-555)\/10)\/(-37). Solve 4*u + 3*n + 18 = 5*u, 0 = r*u + 2*n - 22 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r. Suppose 3*a - 2*x - 10 = r, 8*x + 4 = -3*a + 3*x. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkruqlkrrk. What is prob of sequence ku?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511310?\nAnswer: 2, 5, 51131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 2*i - q - 47, 4*q - 25 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-195)\/(-935) + (120\/(-132))\/10. What is the nearest to 0.1 in -2\/7, -0.178, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1100) + sqrt(1100)*-5)**2*1 - (sqrt(1100) + 0 + sqrt(1100) + -1)**2).\nAnswer: 40*sqrt(11) + 13204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49580249 or -148740745\/3?\nAnswer: -49580249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/28017 and 65\/52638.\nAnswer: 1737054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 29 = 44, 3*r + 4*f + 6 = 0. Let q(b) = 5. Let c(o) = o + 6. Let m(k) = 4*c(k) - 5*q(k). Calculate m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i + 41*i - 4 + 87*i + 30*i to x + t*i and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*h\/(h**(-4)\/h*h*h)*(h\/((h\/(h**(-1\/4)\/h)*h)\/h*h)*h)\/h**1*h**(-4)*h\/h**4*(h**(-2\/3))**(-2\/11) assuming h is positive.\nAnswer: h**(-5003\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7325019 and 3159.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-84))\/((-60)\/(-21))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let z = 3.999 - r. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4550 and 97\/9100.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -577.558 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 - 7\/6*h**3 + 0*h**4 + 0*h**2 + 5*h + 3\/10*h**5. Find the second derivative of y(x) wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -26, 12 in decreasing order.\nAnswer: 12, -1\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*v - 10, 5*q - 4*v + 0*v = -3. Let t = 18 + q. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*u = 374, -4*u + 181 = 2*k - 3*u. Suppose 5*m + k = m - 3*b, -5*m + 4*b = 146. What is the tens digit of ((-3)\/(-2) - 2)*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 8. Suppose -3*d - 16 = -4*i, -d + 3*d - i = -r. Let z = 32 - d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 7*n**2 + 6. Let w(k) = -k**3 - 11*k**2 - 12*k - 7. Let d be w(-10). Let s = -6 + d. What is the remainder when 23 is divided by x(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (302*a - 113*a**2 - 302*a)*(2 - 3 + 3)*(-3 - a + 5 + 3*a).\nAnswer: -452*a**3 - 452*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Let o = 4.5 + r. Which is the third smallest value? (a) o (b) -2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8*o = v + 2, -9 = -3*o - 3*v. Which is smaller: o or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + u = -10, 15 = -4*u - 1. Let w(x) = -x**2 + 2*x - 4. Calculate w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 24. Suppose -5*b + c + 20 = 0, 3*b - q = -0*b + 3*c. What is the smallest common multiple of 2 - b - (-24 + 2) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -26*h + 29*h. Solve h*p + 3*a = -4, 0 = 3*p - 0*p - 4*a - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 88*z**2 - 54*z + 146. Determine m(2).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35819.62 years in months?\nAnswer: 429835.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 22, -6, -2 in decreasing order.\nAnswer: 22, 8, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24516 is divided by 819.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n + 2. Let t(l) = 2*l - 18*l - 4*l + 5. Let k be -4*-13*(-50)\/520. Determine k*i(x) + 2*t(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2499629, -4999266, -7498903, -9998540, -12498177?\nAnswer: -14997814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 181. Let y be (32\/(-40))\/(-4*o\/100). Solve y*q - 12*q - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 620 and -256645.\nAnswer: -256025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17*j**4 - 17*j**3 + 286*j**2 - 7. Let s(g) = 9*g**4 + 8*g**3 - 144*g**2 + 3. Let u(y) = 3*a(y) + 7*s(y). Find the third derivative of u(b) wrt b.\nAnswer: 288*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 8918, -4, -14 in decreasing order.\nAnswer: 8918, 8, 4, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 44471685\nAnswer: 400245165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a)*(-14 + 39 + 7) + (-5 - 1 + 5)*(9*a + 16 - 16).\nAnswer: -73*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*h = 394*h - 2196. Which is the third biggest value? (a) 1 (b) 3\/5 (c) 0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**7\/42 - 29*y**4\/4 - 167*y**3\/6 + y**2\/2 - 329*y. Find the second derivative of v(i) wrt i.\nAnswer: -20*i**3 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/5 + 162*q**4\/5 - 226*q**3\/5 - 46242*q**2\/5 - 317052*q\/5 - 90720 = 0.\nAnswer: -9, -7, -2, 24, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -1175 + 369. Solve y*m - 64*m + 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-2)\/5*(-15)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 24*d + 51. Let o be p(9). Let t = -0.08 - 0.22. Let f = 0.5 + t. Which is the closest to f? (a) o (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 465. Let n be d(0). Let g = n - -935. Let k = g - 1170. Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*f + 14 - 0, 4*w + f - 7 = 0. Solve -w*v + 3 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -40. Suppose 5*f + 2*v = 129, -o*f + 138 - 46 = -4*v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v + 22. Let p be w(2). Let x be (-84)\/(6*(-2)\/32). Suppose -b - x = -3*b. What is the highest common divisor of b and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 1885.\nAnswer: 65975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 50*y = 46*y - 78, -2*y - 27 - 30 = 5*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/103, -5, 22133?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**12\/h)\/h)\/((h\/(h\/(((h\/(h*h**(6\/11)\/h))\/h)\/h)))\/h) assuming h is positive.\nAnswer: h**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4807 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6864 divided by -10?\nAnswer: 3432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 2*v**2 - 3510*v - 6. Let k(x) = x**3 + 2*x**2 + 3509*x + 8. Give -2*k(m) - 3*l(m).\nAnswer: m**3 + 2*m**2 + 3512*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16360251 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -378, -365?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + k + 5 = 0, k + 5 = 14*j - 11*j. Suppose -3*n + j*u = -4*u - 52860000, 0 = 2*u. What is n rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(567)*-4 + 5)**2.\nAnswer: -720*sqrt(7) + 36313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473457?\nAnswer: 227, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 5:21 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 452351370542?\nAnswer: 452351370547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + v. Suppose 5 = -2*b - z, 0 = 2*b - 5*z - 8 - 5. Let y be m(b). Suppose 72 = y*a + 2*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcmr when four letters picked without replacement from {h: 2, e: 6, r: 1, m: 2, c: 5}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 28. Let m(i) = i + 42. What is -7*a(u) + 5*m(u)?\nAnswer: -2*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265288260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpa when three letters picked without replacement from alpplupuupupaapaupp.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**2 + 13*p**2 + 6*p**2 + 13*p**2 - 108*p**2 + 11*p**2 + 41*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/120 + 11*y**5\/60 + 3*y**4\/8 + y**3 + 2*y**2 - 25*y. What is the remainder when 29 is divided by v(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 74 = 11*s. Let b(d) = 3*d**3 - 2*d**2 - 1. Let c be b(2). Let o = c - s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241 by 1.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**5 + 32348*q**4 + 230149*q + 27 wrt q?\nAnswer: -120*q**3 + 388176*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcy when three letters picked without replacement from {c: 5, t: 3, y: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 + -3 + 6\/1. Let o be 4\/(-18) - k\/54. Is o < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 16 = 26*g, -137*g + 141*g - 5*u = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -18. Let v be 2\/f*-1 - (-4)\/6. Solve 0 = 5*m + 2*n + 6, -3*m - v - 1 = 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 250 = -3*b + 100, -3*b = w - 334. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 - -43444402?\nAnswer: 43444033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396*j - 203*j + 4*j**3 - 166*j wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:02 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 + 20. Let w be u(4). Let m = w - -84. Calculate the remainder when 13 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 669*c**2 + 3*c - 669.\nAnswer: -3*(c - 223)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20061238 is divided by 1753.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 5 = 0. Suppose -1 = 3*y - 10. Let c(h) = 1 + 9*h**3 + 5*h**2 - 10*h**y + 1. Let z(b) = b**3 - 3*b**2 - 1. Calculate r*z(f) + 3*c(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-28) - (480\/(-70))\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -4, 1, 2, 7\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -y + 5*y + 392, -2*j - 3*y = -196. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(-5*(-5 + sqrt(2736)*1 + sqrt(2736)) - (0 + -1 + sqrt(2736) - -1*sqrt(2736)*-6))**2*2.\nAnswer: -6240*sqrt(19) + 138148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - g**5\/12 - 5*g**4\/24 - g**3\/3 - 3*g**2. Let i be s(-4). Let l = 11 + -6. Solve -b = -i*b - l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 292 = 288 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 > 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:05 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:26 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110128 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-24) - 97\/(-6). Suppose -7*m = -11*m - n. Let i be -4 - m\/(12\/27). Solve -3*j - 4 = i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36850 + -25355. Is f a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 - 98. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 16*v - 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 149*o. Let u(b) = -3*b. Give a(u(v)).\nAnswer: -447*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**5 - 1750*h**4 - 177125*h**3 - 4200000*h**2 - 28800000*h = 0.\nAnswer: -160, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 4, o: 3, t: 2}. What is prob of sequence kt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 18*k**2 + 116*k + 6. Let l(y) = 5*y**3 + 51*y**2 - 348*y - 17. Determine 6*l(a) + 17*w(a).\nAnswer: -4*a**3 - 116*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and -0.3.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l - 83. Calculate the remainder when k(16) is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(6\/7))**43 assuming l is positive.\nAnswer: l**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 5*z + 35, 0 = 4*m + 4*z - 4. Let c = 0 + m. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/3, 5, -8, -17.7 in descending order.\nAnswer: 5, 0.1, -2\/3, -8, -17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/3 + 2*g**4 - 8*g**2\/3.\nAnswer: 2*g**2*(g - 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 1. Let b be d(7). What is the third derivative of -52*u**4 + 18*u**2 - b*u**4 + 56*u**2 wrt u?\nAnswer: -1440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 2*h + 14 + 2*h**2 + 2*h - 6*h. Let d be i(3). What is the fourth smallest value in 3, -3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 15 - 1)*(0*s - 4*s + 2*s).\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4, 0.2, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 703 = 2*p + 4*i, -706 = -5*p - 3*i. Let y(f) = f**2 - 63*f + 187. Let c be y(0). Let a = 211 - c. Calculate the remainder when p is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -16. Suppose -3*g = -7*g - l. Let m be (-6)\/g*10\/4. Solve 3*a + 5*u = 2 - 5, m*u = 3*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -86) + 69 + -37.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 555*f**3 + 3259*f - 3259*f - 5*f**3 + 3*f**3 + 0*f**3 + (-2 + 0 + 4)*(f**3 + 0*f**3 - 3*f**3).\nAnswer: 549*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 55055*x**2 + 151580175*x + 151525125.\nAnswer: 5*(x + 1)*(x + 5505)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162697110*c**5 + 4988341*c**2 - 6 wrt c?\nAnswer: 9761826600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(35)\/sqrt(7) + 2 + ((3*sqrt(50))\/sqrt(10) + 2)**2.\nAnswer: 13*sqrt(5) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**6)**(-20\/9) assuming j is positive.\nAnswer: j**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t + 2*t**3 - 4*t**3 - 15*t + 2*t + 5*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - -1*sqrt(65)*3) + ((2*sqrt(65) + sqrt(65))*1 - sqrt(65) - sqrt(65)))\/((sqrt(270)\/sqrt(726))\/sqrt(9)).\nAnswer: 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 814 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0 - 2*x + x + 2 + 5*x. What are the prime factors of h(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a*h**3*y**4 + a*h**3*y**2 + a*h**3*y + 1306311*a*y**4 + 5*h**3*y**2 - h**3*y + 2*h**2*y**2 + 110*h**2 + 14*h*y wrt y.\nAnswer: 96*a*h**3*y + 31351464*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-40))\/(312\/(-130)). Which is the nearest to -1.3? (a) -2 (b) 4\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 8. Let h be q(-7). Let p = h + -4. Let d(t) = t**3 + 4*t**2 + 2 + 9*t + p*t**2 - 3*t. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 27*j**2 + 10*j - 32. What is the remainder when 46 is divided by v(-14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1006)\/50300)\/(146\/(-50))?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/10 - 16963*f\/2 - 3727988\/5 = 0. What is f?\nAnswer: -84727, -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 682804, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5 + 17. Let m = 3 - o. Let d(x) = 0*x + x + m*x. Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y**2 - 3*y + 34. Let n be r(0). Which is greater: n or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 8. Let m(c) = 4*c + 31. Let z(n) = -2*m(n) - 9*y(n). Let f be z(-5). Suppose f*g = 11849 + 996. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -35\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342740 (base 8) to base 10.\nAnswer: 116192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 21*z - 135. Determine g(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 3145 = 3115 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-6 + 3 + -5. Let h(s) = -2. Let d(k) = -k + 2. Let b(j) = 3*d(j) + 2*h(j). Let x be b(p). Solve 4*g + 0*m = 2*m + x, -5*g - 2*m = -19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/88*((-4)\/28)\/((-6)\/21)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61698987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*k + 10 = 4*w, 0 = 5*w + 5*k - 40. Suppose 94 = 4*s + w*f, -3*f + 9 = -2*s + 45. What is the remainder when 47 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17323123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -13975.\nAnswer: -13975, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Suppose -l*o = -5*o + 2, 5*o = -5*z + 15. Suppose -8 - z = -5*n. Let u(t) = 2*t + 1. Give u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*-78*1. Let s(w) = -3*w + 26. Let q be s(14). Let p = q + r. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.865569 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 211010 (base 5) to base 7\nAnswer: 26265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (6880\/(-56))\/(2 - 432\/210) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 18 + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q + 0*q - 3*q. Let d(z) = 7*z. Let i(k) = -7*d(k) - 5*g(k). Let x(a) = 6*a. Give i(x(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 + 5*s + 4. Let w(t) = -15*t**2 + 5*t - 4. Let l(q) = -7*q**2 + 2*q - 2. Let u(o) = 9*l(o) - 4*w(o). Determine -5*u(n) - 2*x(n).\nAnswer: 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 = 2*t + 2*c, 13 = -t - 4*c. Let l = t + 23. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 31*u + 18. Give t(-4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10572, -42293, -95156, -169161?\nAnswer: -264308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2258 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -52*h**3 + 4*h**2 - 2*h - 8. Let t be z(-3). Let c(o) = -1439*o**2 + 4*o + t*o**2 - 3 - 2*o. Give c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from {u: 6, t: 4, h: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 95822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -147.\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*f**3*g*w**2 - 2*f**3*j*w - 290*f**2*j*w - 68*f*w**3 - 15142*g*j*w**3 wrt g.\nAnswer: -9*f**3*w**2 - 15142*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 91600 to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5))\/(t*(t*t**7)\/t*t*t)*(t\/((t\/(t**(-4)*t))\/t))\/(t*t**(-18)) assuming t is positive.\nAnswer: t**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 2, x: 4, z: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 334\/1813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94668184 divided by -191636?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(6\/11))\/j**(-7)*(j**(-2\/3))**(-2\/55)*((j**(-1)*j)\/j**(-10))**(-35\/2) assuming j is positive.\nAnswer: j**(-27641\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13612?\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-207358)\/(-6) + (32\/12)\/(-4). Suppose -7*b = -21756 - a. Suppose -3*s - p + b = 0, 4044 = 3*s + 5*p - 4009. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/23 + 1574*c**3\/23 + 7794*c**2\/23 - 20318*c\/23 + 476 = 0. What is c?\nAnswer: -782, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 266 = 286. Suppose g = -3*q + 2*y + 711, -2*q + 3*y + 411 = 0. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925340?\nAnswer: 2, 5, 13, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3795.60025 - -3800.6. Let t = 8 + -13. Let b = t + g. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l, 5*l + 2 + 7 = -4*z. Suppose 0 = -z*q - q. What is the second derivative of -4*r + 3*r + q*r - r**2 + 3*r wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12651, -12649, -12647, -12645?\n\"Answer: 2*m - 12653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -6*n**5\/5 - 7*n - 2. What is the derivative of v(i) wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*u - 2*v + 5*v, 5*u - 2*v - 55 = 0. Let g be 16\/64 + u\/4. Solve -2*d = 4*i - g + 1, 2*i - 13 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0 (c) 0.5 (d) -8.8 (e) 0.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25243, -25220, -25145, -24988, -24719, -24308, -23725?\n\"Answer: 5*i**3 - 4*i**2 - 25244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-48)\/(-15))*(-7)\/(-35)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37997 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6519204 divided by -60363\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/3 + 1009*y**4\/3 - 10154*y**3\/3 + 36628*y**2\/3 - 57032*y\/3 + 32608\/3 = 0.\nAnswer: -1019, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1491\/495 + -4 - (11 + (-480)\/40)) + 0?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/5 + 464*i**2\/5 - 2362*i\/5 + 1896\/5 = 0?\nAnswer: -237, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 2. Let h be ((-3)\/(-1))\/((-6)\/4). What is the remainder when v(-2) is divided by (-4)\/h*(-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.077 - 0.92. Let b = -4.157 + j. Which is greater: 26 or b?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78524152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 173045*h + 3*h**3 + 86790*h + 86255*h.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 682, 0.1, -1280, 1\/6 in ascending order.\nAnswer: -1280, 0.1, 1\/6, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y + 5. Let d be f(0). Suppose 0 = d*b + 4*c - 13 + 5, -4*b = 4*c - 8. Which is bigger: -10\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001311222232 - 12?\nAnswer: -2001311222310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11888.9 to the nearest 100.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*m - 16 = 0, 2*m = 3*p - p + 12. Let k = 0.3 - 0.8. Let z = k - 0.5. Which is the second biggest value? (a) z (b) 1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 0*x + 11*x = 0. Factor -1\/4*h**4 + 0 + x*h - 1\/4*h**2 - 1\/2*h**3.\nAnswer: -h**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1213*v**2. Let w(s) = 11*s. What is x(w(y))?\nAnswer: -146773*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 77 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/123 and 71\/1146.\nAnswer: 46986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82*108\/(-2214))\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155*y - 198 = 1173*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f**5 - 4*f**2 - 1161*f + 13. Let i(b) = 7*b**5 + b**2 + 580*b - 6. Let y(h) = -13*i(h) - 6*s(h). Find the second derivative of y(a) wrt a.\nAnswer: -140*a**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*7\/(-392)*56.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.94673 to one decimal place.\nAnswer: -308.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 8596*r**2.\nAnswer: -4*r**2*(r - 2149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10590 and 25\/55068.\nAnswer: 275340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 212346?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11770.757 to 0 decimal places.\nAnswer: 11771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40031 (base 6) in base 11?\nAnswer: 3a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -10 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333481 divided by -2.\nAnswer: -333481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.959 + 32. Round i to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 5009*b - 15036 = 0. What is b?\nAnswer: -5012, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*j - 5. Suppose -1 = -i, 9 + 0 = -j*m + 5*i. Is m\/5 - (-152)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 317101 (base 11) to base 14\nAnswer: d2bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1679 and 0.3.\nAnswer: 0.05037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65846.\nAnswer: 2, 11, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Find the third derivative of c**6 - 3*c**6 + 4*c**6 + x*c**6 - 2*c**2 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6957 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*h + h = 0, -2*a = -3*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u - u**2)*(-4*u + 15*u + 11*u) + (2 + u**2 - 2)*(-474 + 474 - 55*u).\nAnswer: -77*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141809425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/3055 + 222983\/48880. What is the common denominator of a and -37\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 1, y: 10, g: 5}. Give prob of sequence yvy.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.48. Let z = 3 + -3.4. Let c = r - z. Put -5, 5, c in decreasing order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1749? (a) 1 (b) -4 (c) -5 (d) 27 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/28*1\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)*q))\/q*(((q**0*q)\/q*q)\/q*q)\/q*q**(2\/5)*q\/q**(-2))\/(q*(q**(2\/7)*q)\/q*q*q*q**(-5)*q*(q\/(q\/q**(1\/2))*q)**(-1\/15)) assuming q is positive.\nAnswer: q**(73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 32*d**2 - 4*d + 95. Let u be y(32). Let o = u + 57. Let l = 4 + 68. What is the greatest common divisor of o and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*q - 1017*q = -5*o + 41, 0 = 5*q - 195*o + 2833 - 1058 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 5*s - 9. Let v be q(-3). Suppose f - o = 25, -f - o + 27 = -4*o. Let p = v + f. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwmi when four letters picked without replacement from woohihwoifffowwim.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/12 + 6\/(-8). Let s(y) = -2*y. Let l(k) = -4*k. Let j(h) = t*s(h) - 4*l(h). Let n(m) = -11*m**2. Give j(n(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u. Let q(r) be the second derivative of r**6\/120 + 17*r**4\/6 + 7*r. Let p(s) be the third derivative of q(s). Calculate z(p(a)).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, c: 1, g: 1, n: 2, r: 2}. What is prob of picking 1 c, 1 p, and 1 g?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -45*m**2 + 7*m + 20. Let n(s) = 22*s**2 - 3*s - 10. Let i(x) = -3*b(x) - 7*n(x). Let j be i(4). Let z = j + 433. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -733*l - 8059. Let r be m(-11). Let a = -2 - 0. Put r, 0, a in increasing order.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 266, 535, 804, 1073?\n\"Answer: 269*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*x**4 + 2*x**3 + 296*x - 18166 wrt x.\nAnswer: -20*x**3 + 6*x**2 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 26*h - 31*h. Solve -r + 5*x = -3, -r - x + 3 = -h*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -594, 0, -8, -3.\nAnswer: -594, -8, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from {c: 1, q: 5, h: 2, t: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5, 0 = 56455*x - 56453*x + 4*z + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -61\/3*q**3 - 63*q + 1\/4*q**4 + 125 - 125\/2*q**2. Determine s, given that c(s) = 0.\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 3*p - 6. Let a be m(2). Suppose n = 4*n + f - 16, a = -n - 5*f. Suppose -s - 14 = 5*q - n, 2*q + 6 = s. Solve 0 = s*h - 7 - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3816752 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 6*l - 11. Suppose 3*f = 3, 3*j - 4*f + 8 = -17. Let n be i(j). Let c be (2\/n)\/(3\/18*-2). Which is bigger: c or -0.02?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 1731, 4158, 7537, 11862?\nAnswer: 17127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 3\/5*w**6 + 0*w**2 + 1\/10*w**5 - 16*w**3 - 88*w + 2 + 0*w**4. What is the second derivative of f(q) wrt q?\nAnswer: 216*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1365718 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 30*h + 140. Let c(w) = -14*w + 70. Let r(f) = 3*a(f) - 5*c(f). Let u be r(8). Are -282 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 83 - 26 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 10*i + 2. Let u be s(-3). Suppose -4*q + 2*g = -2*g - 232, 0 = -u*g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -31478\/15 - -2104. Calculate the common denominator of a and 64\/95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*g - 172, 4*g = -3*u + 13 + 353. Solve -20*n - g = -30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 + -3. Let p = 13 - 16.3. Let h = 2.9 + p. Which is the biggest value? (a) 9 (b) h (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 2141 - 3955 = 0. Calculate the remainder when 2284 is divided by t.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-40)*(-210)\/(-9))\/(-4*12\/(-48))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*u**2 + 11*u - 66*u**2 - 11*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1423?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*w - 6 - 4, 4*w + 2*r = -10. Let y(h) be the first derivative of -2*h**2 + 24. What are the prime factors of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-40)\/(-2))\/5. Let d = p - -8. Differentiate -u**3 - d - 16 - 4*u**3 with respect to u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2576, -2820, -2930, -2840, -2484?\n\"Answer: 11*b**3 + b**2 - 324*b - 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 52 = -4*r, 3*r - 9 - 30 = 5*l. What is the third smallest value in 0.1, -0.1, 0, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 847\/6 + -142. Let n be 40\/36 + (7 - 8). Sort n, 0.1, -1\/3, o in descending order.\nAnswer: n, 0.1, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - ((22 - (19 + -1)) + (0 - -6))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a - 2*a - a + (2 - 1 + 1)*(-2 - 3*a + 2) + 2*a - 1 + 1 - 2 + 2 - a + (0*a + 0*a - a)*(-1 - 5 + 4).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 106 + y - 204 + 105. Let w be ((-2)\/(-4))\/((-1)\/6). Calculate v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from tiiitziim.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19327696 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(2793\/14896).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7618678903?\nAnswer: 11, 692607173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -34*c + 40*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) 2 (b) 0.1 (c) -1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + b - 114 = -b, 4*k = b + 152. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 440 = 23*t. What is the highest common factor of 275 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 10 + 14, 0 = 4*f + 4*k - 108. Solve 0 = -3*j - 2*a + 7 - f, 2*a = -4*j - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 46*k - 438. Calculate t(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.12 and 187705282.\nAnswer: 187705282.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 22918211?\nAnswer: -5271188.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3 - (-1 - 2))\/(-2))\/(-1). Suppose -7*t + 38 - 3 = h. Suppose 0 = 5*r - 10. Solve r = 4*c - 4*w + 2*w, 0 = 2*c - t*w + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*r = 4, -68 + 68 = 3*r. Let a(p) be the third derivative of 0*p + 19\/6*p**3 + 16*p**o + 9\/8*p**4 + 0. Differentiate a(u) with respect to u.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000030199138 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385581498?\nAnswer: 2, 3, 229, 280627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 3:08 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 + 11 = 0. Suppose 29 = -a + 33. What is the remainder when a is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -30. Let h = -13.3 - r. Let y = -1.30000035 - h. Round y to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8710 and 85.\nAnswer: 148070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4933*d + 4934*d = -2, -b + 4*d + 12 = 0. Solve 47 - 39 = b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3242\/551 - 5263571\/779114. Let c = h - -3\/202. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 41831.\nAnswer: 209155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240883470 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-1 - n + 1 + (0 - 1 + 0)*(-2*n + 0*n + 4*n) - 2197 + 153*n + 4395 - 2197) to the form i*n + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 149?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 3*v**3 - v**3 + (-v - 12*v + 5*v)*(3*v**2 - 34*v**2 + 3*v**2).\nAnswer: 225*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**2 + 3*i - 1. Let n(m) = 7*m**2 + 4*m - 1. Let c(a) = 4*h(a) - 3*n(a). Let w be ((-2)\/(-6))\/(4\/(-12)). Let s be c(w). Solve 0 = 2*f - s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4241421321 + 3?\nAnswer: -4241421314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 46. Sort 2, 3, -5, g.\nAnswer: -5, 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/(-14) - (-25)\/((-525)\/6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-48)\/60*(-5 + 3)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a486 - 183?\nAnswer: -5a639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 13*b**2 + b - 5. Calculate o(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25726 + 25727 - 5483*u - 77180 + 25727 in the form c*u + a and give c.\nAnswer: -5483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -0*o + 3*o + 39, -15552289*o - 28 = -i - 15552285*o for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18081 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9 - 2\/3*b + 2\/9*b**3 + 0*b**2.\nAnswer: 2*(b - 1)**2*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14592.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257596511, -257596510, -257596509, -257596508, -257596507?\nAnswer: -257596506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-619)\/(-3) + 26\/39. Calculate the highest common divisor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*r = -351*r + 3680 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 324137683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 5*o - 9, 4*x - 3*o - 7 = 0. Solve -2*f = -f - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13763 - -13762.8. Sort -3.7, r, 2, 0.13 in descending order.\nAnswer: 2, 0.13, r, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7364 by -1.\nAnswer: -7364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-629*h + 134*h - 345*h)*(3*h - 5 + 4 - h).\nAnswer: -1680*h**2 + 840*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.303885 milliseconds?\nAnswer: 0.0000000035171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/16944 and -115\/108.\nAnswer: 152496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, t: 2, a: 1, l: 2, e: 2}. Give prob of sequence tale.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - t - 17 = 2*t, -2*t = 3*p + 28. Let u(y) = y + 14. Calculate u(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7155543365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4221990 and -30.61?\nAnswer: 4221959.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 284 - 187. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -3*d + 3*u, d + 3*u + 213 = 6*d. Suppose -126*c - d = -133*c. Solve -c*q - 23 = -11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*o = 2*h - 16, -5*o = 5*h. Let s be h\/8*-4 - -1. Let w be (-6 - -8) + (s - -5). Solve -4*b - w = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (907 - 862 - 3*m + 5*m)*(-2*m**2 + 3 - 3) as d + k*m + w*m**2 + p*m**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 146.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.1. Let l = -8.4 - -3.4. What is the biggest value in l, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, c: 1, l: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23.68 (b) -1 (c) -0.06 (d) 1 (e) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -5 in descending order.\nAnswer: 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - 4) - (-11 + 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeq when three letters picked without replacement from {e: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*o - 3*o - 10, -2*o + 10 = 2*f. Suppose -3*y + b + 1226 = o, -4*y + 6*y + 4*b - 822 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 458108b?\nAnswer: -458108a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g. Let f be c(2). Let n = f + -1. What is the remainder when 53 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 48. Let b = h - 25. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(500) + 2)*-4 - ((sqrt(500) - ((-1 + sqrt(500))*-6 + sqrt(500))) + (sqrt(500) + 2 + sqrt(500) + 3 - sqrt(500))))**2 + 2.\nAnswer: 10260*sqrt(5) + 364863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = -i + 52, 379*g + 10 = 4*i + 381*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 0.043 (c) 2\/9 (d) -2\/9 (e) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, -26, 0.5.\nAnswer: -26, 3\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -723\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -22) + (-4778 - -4753).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3322 = -711*a + 1552*a - 690*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 21. Determine v(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 8*g - 5. Let m be o(-9). Suppose -d - 186 = -m*d. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:39 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqvv when four letters picked without replacement from {m: 7, q: 1, s: 4, v: 4, r: 2, z: 2}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*q - 14 = 4*u, 4*q = 5*u - 26. Calculate the greatest common factor of u and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-64) + (-4725)\/168)*4\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fkfkkffkkkkkf?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13277284 by 15.\nAnswer: 13277284\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4666805 micrometers in kilometers?\nAnswer: 0.0000000004666805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 192*i**2 - 27*i - 11. What is the tens digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 270, 398, 526, 654, 782, 910?\n\"Answer: 128*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 1. Let j be t(2). Let i = -5 - j. Suppose 3*d - 2*d - 5*c + 5 = 0, 100 = i*d + 4*c. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + l + l - 492, -5*j = -3*l - 2473. Let g = 11 + j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4366 = -8*r + 1186. Calculate the remainder when r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243\/45 + -6 + 2\/520*56.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*r**3 + 615 + 2*r**3 + 591 - 1801 + 595.\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r - 19*r - 1 + 43*r)*(-3 + 5 + 1)*(0 - 8 + 5) to b + x*r and give x.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 2\/9 (c) 44 (d) 5 (e) -10\/21 (f) -5.1 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 - 93. Let c = 5.13 + -0.13. What is the nearest to 1 in 1\/3, n, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 4765?\nAnswer: 128655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65489325103393\/120 - 545740911192. Let k = v + -6929605\/2. Let x = -1834\/15 - k. Calculate the common denominator of -62\/5 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**6\/60 + f**5\/60 + 3*f**2\/2 - 2*f. Let h(n) be the first derivative of q(n). What is the third derivative of h(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 69967.\nAnswer: -139934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (18\/162*-3)\/(-6 + ((-49203)\/913)\/(-9))\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796114440 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -6. Let s = 6 + a. Let d(h) = 6*h**3 + 4*h**2 - 2*h - 2. Is d(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 5 - 3*n + 0*n + (-2 - 2 + 0)*(0*n + 0*n + 2*n) to the form p*n + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -105820980 divided by -930?\nAnswer: 113786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10176 + 10174. Which is the nearest to -1\/4? (a) 2\/45 (b) s (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041855.\nAnswer: 5, 43, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 9, 1882 in ascending order.\nAnswer: -2, 1, 9, 1882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*-8245044.\nAnswer: 618378300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700344027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v**2 - 138*v - 111. Determine j(11).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100443 (base 5) to base 14.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (41976\/(-1815) + 14 - (-6)\/(-22))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121111202211001 - -10?\nAnswer: -20121111202210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4721, 9166, 13347, 17264, 20917, 24306?\nAnswer: 27431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebuebee. What is prob of sequence eu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322.03 - 321. Let g = s - 0.23. Sort -0.4, -5, 10\/3, g in decreasing order.\nAnswer: 10\/3, g, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34752 <= -34756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/67 in -2\/13, -0.8, -1\/3, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 90*y - 44*y - 1690 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -134301?\nAnswer: -134302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35)*1)\/(-3*sqrt(7)*-1).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/75632 and -67\/283620.\nAnswer: 1134480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 6*g**2 - 15*g + 4. Let h = -525 - -517. Calculate q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195 + -4. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, n: 8, p: 3, l: 2, k: 2}. Give prob of sequence kan.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/120 + o**5\/60 - o**4\/12 - 3*o**3 - 3*o**2 + 8. Give z(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 1. What is d(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172940 - 120090. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1923 + 56*j**2 + 1923.\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 294060 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o = 0. Suppose 4*v = -3*b + 47, -5*v + b + 3*b + 20 = o. Suppose -9 = c - 2*c. Calculate the lowest common multiple of c and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 32, -0.5, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -23, 4, 3, -5, 2, -1 in decreasing order.\nAnswer: 6, 4, 3, 2, -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i. Let d(p) = p**2 - 7*p - 22. Let h be d(9). Let o(n) = -5*n. Let l(g) = 4*g. Let q(u) = h*l(u) - 3*o(u). Give q(m(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 - (6 + -9). What are the prime factors of 1*(s - 4)*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 - 18 = -4*h, 10 = h + a. What is the biggest value in 2\/9, -1, 0, h, -4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/4 - 2\/(-4). Let w = m + 14. Is w at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40931164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 2254 = -1004. Let m = t - 15567\/43. What is the third biggest value in m, 2, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316126 minus -0.27509?\nAnswer: -316125.72491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:33 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m**3 - 84*m**2 + 151*m - 257. Calculate p(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979160808.\nAnswer: 2, 3, 373, 109379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = -14*c + 912. Calculate the highest common factor of c and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - f**5 + 4*f**5 + 2*f**2 - 2*f**5 - 2*f**2 + (-4 + 4 + f**3)*(-67*f + 19*f**2 + 67*f).\nAnswer: 18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 + 3142?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 10*z**3 - 45*z + 39. Differentiate w(l) wrt l.\nAnswer: 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 962 = 283. Let g = y - -417. Let m be 6*2\/4 - -22. Solve -3*p + m = g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 13\/57 (b) -5 (c) -1 (d) -6\/11 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-77)\/(-14) - 2\/(-4). What is the third derivative of 3*k**v + 6*k**5 + 7*k**2 - 6*k**5 + k**2 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 7*g = 3*g, 0 = -5*f + 5*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/60 - 17*k**4\/24 - 3*k**3 - 5*k**2 - k + 16. Solve u(m) = 0 for m.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1756901946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(4\/5))\/(b*b*b\/(b\/(b*(b**(1\/2)*b)\/b*b*b))*b))**(-9\/8))**38 assuming b is positive.\nAnswer: b**(8037\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 11*c**2 + 28*c + 88. Determine n(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -15673*y. Let t(p) = -2*p. Determine t(b(a)).\nAnswer: 31346*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, 54, -4.\nAnswer: -5, -4, 3, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 0*w**2 + 0*w**2 + (-2*w - 2 + 2)*(3*w - 6*w + w) + 3*w**2 - 2*w**2 + 3*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 108. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14837, -118554, -400049, -948212, -1851933?\n\"Answer: -14815*i**3 + i**2 - 15*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/25, 32, -1\/2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22400)\/1405)\/(-4) - 4. Is a greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**35\/((q*q**(-14))\/(q**3*q)) assuming q is positive.\nAnswer: q**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841*o**3 - 47*o**2 + 2213*o**3 + 1426*o**3 + 47*o**2.\nAnswer: 2798*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by -228?\nAnswer: 295\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 + -175.1. Let s = 5.1 + l. Let z = s - -16. Put z, -2\/3, 2 in ascending order.\nAnswer: z, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, 3, 2, 133142 in decreasing order.\nAnswer: 133142, 5, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 3. Calculate s(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t + 5*t - 2*t - 20*t - 9*t.\nAnswer: -61*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 45. Suppose 50 = 2*x + 16. Suppose 2049 = x*n - 2541. Calculate the greatest common divisor of n and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 23*p - 5 + 24*p + 2*p**2 - 49*p. Let v(r) = -r - 1. Calculate c(z) - 2*v(z).\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295297447?\nAnswer: 3019, 97813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2495 + 0.0505. Let i be 4\/(-22) + (-20)\/11. Let r = -0.21 - -0.41. Which is the nearest to r? (a) i (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274652466 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**3 - 10*b**3 + 9*b**4)*(3*b + 3*b - 4*b) + 0*b**5 + 6*b**5 - 3*b**5 + 155*b**5 - 157*b**5 - 45*b**3 + 0 + 0.\nAnswer: 19*b**5 - 45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 + 10000110?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 5*t**4\/12 - 11*t**3\/6 + 10*t**2 - 19. Let z(i) be the second derivative of f(i). What is the derivative of z(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:16 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -37865*(2 + 27\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 77*w**2 + 74312. Let x(y) be the second derivative of y**3\/6 - y. Give x(s(k)).\nAnswer: 154*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 2, z: 3, e: 10, r: 1, o: 2}. What is prob of picking 1 e and 1 i?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - 0 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -0.4, 0.2, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720701.8 millennia to decades.\nAnswer: 72070180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 2. Suppose -4*s + 10 = 3*k, 0*s + s - y*k - 8 = 0. Let a = -37 + 39. Calculate the smallest common multiple of s and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 2 = 14*d - y - 0, -4*y + 16 = 0. Let v be (-6)\/(-5)*-5*1. Let b(z) = z + 8. Let h be b(v). Solve 0 = -d*x - h*g - 10, -g - 8 = 2*x - 0*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {l: 1, x: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -10, -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -12 (c) 6.3 (d) -3\/2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6611129827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13407*n**2 + 5121*n + 209893657.\nAnswer: 26814*n + 5121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, p: 3}. What is prob of sequence mmm?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8591*k - 15 - 13 + 679*k + 30 - 1 to the form h + s*k and give s.\nAnswer: 9270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-14)*4\/10. Let h = -4.297 + 3.797. Which is the smallest value? (a) 3 (b) -0.4 (c) m (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416040 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 2*v**2 - 4*v - 5. Let b be f(2). Suppose 0 = -4*o - 2*h - b*h + 2029, -4*h = 12. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 + 32 = 3*v, 2*v - 7 = -n. Suppose 2*r + 3*t = -4, -4*t + v = 22. Suppose p - 6 = -q, -4*p = -5*q - 3*p. Solve 0 = -5*w - q - r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 9. Determine y(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14582, 18, 5, -1, -0.1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 6*u + 3. Let t be n(-6). Suppose i + t*i + 4*g = 52, -g = -i + 21. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 19*n**2 - 15*n - 6. Let p(y) = y - 5. Let o be p(-8). Let v be j(o). Calculate the common denominator of (-1)\/(252\/v) + 2\/(-7) and -97\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.1988 to one decimal place.\nAnswer: -60.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*g**3 + 122*g**3 + 524*g**3.\nAnswer: 1021*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b. Let c(f) = 71*f + 1. What is -2*c(m) + 9*s(m)?\nAnswer: 20*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-215))\/(2\/4). Let h = 100\/301 + m. Is h at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) + 4\/(-16). Suppose -3*o = 5*i - 654 - 1227, -3*i - 5*o = -1119. Let d = 2642\/7 - i. Which is the nearest to 0? (a) 1 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 (base 8) in base 14?\nAnswer: 19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4264 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 30*y**2 - 10*y + 8. Let v be q(1). Calculate the remainder when 166 is divided by (256\/v - 4)\/((-9)\/(-42)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, -3, 3 in ascending order.\nAnswer: -333, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (-10 - (-35 - (6 + -15)))) + -41?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4*((-40)\/12)\/(45\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + n = 46735, -942*n = 2*v - 940*n - 31162. List the prime factors of v.\nAnswer: 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 42. Let t be (0 - 3)\/((-3)\/(-12)*n). Sort t, -4, -1.\nAnswer: -4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 5*m - 11. Let r be h(-7). Suppose r*c = -4*d + 542, 0*d - 5*c - 421 = -3*d. What is the remainder when d is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 19*l - 3 = 0, 2*l = -5*u + 182. Solve 2*x = u - 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7*u - 7*u + 78 = 14*u, -2*t = -5*t - 3*u - 78 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*sqrt(68) + (sqrt(85) + sqrt(85)*-2)\/sqrt(5) + (sqrt(17) + 1 - sqrt(17))**2 + 1 + 3.\nAnswer: -9*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6643 = 9*q - 8999. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by 6\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 2*c + 82 = 0, -245 = -5*r - 3*c. Let d = -420 + 693. What is the remainder when d is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002 (base 3) in base 12?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/14*-245*(-58)\/12180?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + 22 - 1 + 4*r + 4.\nAnswer: -9*r**3 + 4*r + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2866 + -0.4.\nAnswer: -2866.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-7) - 824\/(-1442). What is the fourth biggest value in -11, 0.5, -1\/3, f?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = 0. Let o(w) = w + 11. Let a be o(m). Let j = a - 7. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3132300330 - -11?\nAnswer: -3132300313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222859*x = 222839*x - 60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256061\/6 - 42689. What is the common denominator of f and 109\/266?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.5 (b) 1\/6 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25254 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 8006999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574351565?\nAnswer: 3, 5, 29, 3619199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314.59129 - -74079.\nAnswer: 73764.40871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227207, -454393, -681579, -908765, -1135951?\n\"Answer: -227186*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15897532.\nAnswer: 2, 7, 643, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Is ((-1)\/2)\/(g\/(-508)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -10 - 85. Let d = x + 22. Sort -3, 0, 8, d in decreasing order.\nAnswer: 8, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/3 + 76*d\/3 - 161 = 0.\nAnswer: 7, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4 - 16262220*p**3 - 22038332872911*p**2 - 44076600696966*p = 0. What is p?\nAnswer: -2710369, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 2. Let z(g) = g - 1. Give 4*o(a) - 5*z(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqq. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 5*p - 32, 0 = -y + 4*p + 13. Let k = -16 + y. Suppose k*b = 3*b - 194000. What is b rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*t**5 - 37*t**5 - 32*t**5 - 5*t**5 + 3*t**5 + t**5 + (2*t**3 + 4*t**3 - 5*t**3)*(6*t**2 - 3*t**2 - 4*t**2).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.030922 and -74.\nAnswer: 2.288228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91598689 equal to 457993449\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v - 2*v**4 + 4*v - 12*v**4 + 2*v**4 - 10*v**4 + ((0 + 2 - 3)*(-1 + 1 + 1) + 1 + 2 - 5 - 18 - 8 + 8)*(-v**4 + 0 + 0) + v - v + 5*v**4.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 19*x + 9. Let h be a(-19). Suppose -737 = -5*y - 4*v, -432 - h = -3*y - 3*v. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(1\/3)))**(-2\/41)\/(((q**(-5)\/q)\/q)\/q**(-3)) assuming q is positive.\nAnswer: q**(484\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -0.04 (b) -1\/781 (c) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 4. Let w(t) be the second derivative of t**3 - t + 184. Give w(c(a)).\nAnswer: -18*a - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(56\/(-640)*5)*14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from xvffbxlbqxlx?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.3.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/19494 and 131\/1368.\nAnswer: 77976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*j - 203*j + 20200 = 254*j + 116*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x + 5*x. Let w be (x - -5)\/(4\/(-2)). Let c(h) = 5*h**2. Let f(r) = -4*r**2. What is w*f(o) - 3*c(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 947\/9121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-1)*((-20)\/(-250)*-15)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.281 - -0.371. Put w, 4, -1, -3\/2 in descending order.\nAnswer: 4, w, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6208160 by 221720.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-888)\/296)\/((-45)\/(-2)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 5, k: 1, x: 9, u: 1, r: 1}. Give prob of sequence iri.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320430 + 306454 = 53*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:59 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/47634 and -61\/16345.\nAnswer: 1667190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose 6*v - s*v = 45. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 4*d + 23. Give s(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 + 0\/(51 - -14).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 0, -4*m + 7 - 28 = -t. Let k(u) = 2*u - 2 + 10 - u - u**3 + 5*u**2 - 1. What is the tens digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/21 and 19\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1346 - 800. Suppose -65*j + 62*j + q = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 733567592 to the power of 1\/2, to the nearest integer?\nAnswer: 27084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 106764 divided by 93?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5 (c) 323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(5\/3)))\/f**(1\/31))\/(f**(-5)*(f*f\/(f*(f*((f**(2\/23)*f)\/f)\/f)\/f))\/f))**(-9\/4) assuming f is positive.\nAnswer: f**(-18357\/1426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/(3 - -4 - 5). Suppose -83923 = 15*h - t*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.4 (b) 3 (c) 0 (d) -1 (e) 84883\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132*q**2 + 2263*q**2 - 47*q**3 - 1131*q**2.\nAnswer: -47*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(612)*-6 + sqrt(612) - sqrt(612) - sqrt(612)) + 5 + 2 + 1 + sqrt(612) + sqrt(612)*-1)**2.\nAnswer: 1056*sqrt(17) + 74116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 233332763 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 76. Let z = -46 + d. Let y(k) be the second derivative of -k**5\/20 - k**4\/3 - k**3\/3 - k**2 + 5*k. Determine y(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/7*4\/(-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2477 divided by 367\nAnswer: 2477\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -718617028?\nAnswer: 718617028.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 412*u - 401. What is the remainder when 2177 is divided by v(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - y**2 + 2*y - 1. Suppose -7*u + 10 = 3. Let m be l(u). Solve b - 21 = 5*j, 2*b + m*b - 1 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/r**(-17))\/((r*r\/((r**3*r)\/r))\/r*((r*r\/r**(3\/2))\/r*r)\/r))**(1\/8) assuming r is positive.\nAnswer: r**(79\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w + 1. Let v(j) = -5*j**2 + 2*j - 2. Let z be ((-4)\/16)\/(2\/(-8)) + 0. What is z*v(g) + 2*h(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*1\/6*-2. Let r(t) = -t**3 + 3*t + 2. Suppose 5*j + 43 - 53 = 0. Let z(l) = 26*l**2 - 1 - 44*l**2 + 19*l**j - l. Determine w*z(b) - r(b).\nAnswer: b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqvyrbv. What is prob of sequence bbq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3 - 3 + (3 - 2 - 2)*(0*y - 3*y + 4*y) - 3 + 3 - y - 4*y + 2*y + 4*y)*(906*y - 906*y + 24728*y**2).\nAnswer: -24728*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, x: 1, y: 3, g: 1, k: 7}. Give prob of picking 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(2\/7)*u*u)\/u*u**(-4\/7)*(((u**(-3\/4)*u)\/u)\/u*u)\/u**(-2\/9))**(-3\/10) assuming u is positive.\nAnswer: u**(-551\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 26 = 8*v - 5*v, 4*o = -v + 32. Solve -8 = 4*m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 2800 = 26*p. What is the least common multiple of 100 and p?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let c(r) = 10 + 34 + r**2 - 17*r + 19*r + 24*r. Let j be c(-24). Give p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*j - 28355 = -567*j for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4))\/sqrt(8) + 4)*-2.\nAnswer: -8 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9474 and 16?\nAnswer: 75792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 0.721?\nAnswer: 0.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27747 is divided by 6936.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 107, 33, -115, -361?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/5)*(h\/(h\/(h**(-26)\/h)))\/h assuming h is positive.\nAnswer: h**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 37*g**2 - 8. Let y(u) = 54*u**2 + u - 2. Let r(j) = -523*j**2 - 9*j + 27. Let l(w) = r(w) + 9*y(w). Determine 7*d(z) + 6*l(z).\nAnswer: 37*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 2, z: 8, y: 1, a: 1, l: 2}. Give prob of picking 1 w and 1 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + n - 4*n. Let m(o) = 14*o. Let s(d) = -17*f(d) - 6*m(d). Let w(k) = -3*k**2. Calculate w(s(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 - -18173153585402?\nAnswer: 18173153585402.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 5 + 14 + 722*b.\nAnswer: 722*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmm when four letters picked without replacement from nmnmmnmnnmnm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -2.4. Put n, -1\/7, -7, -0.2 in decreasing order.\nAnswer: n, -1\/7, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2497*n - 17424. Calculate c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002584 divided by 250646.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 - 8*g - 8. Let n be f(-6). Suppose 3*i - 1 - 5 = 0. Differentiate i*v**2 + v**4 - n*v**2 + 2*v**2 + 7 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*k + m - 3 = -267*k, -2*k - 14 = -3*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*o + 15*o + 330. What is the remainder when 209 is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 45*l - 3 + 3 + 4 to the form w*l + a and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373\/1468 - 3\/734. Put -0.4, o, -6 in ascending order.\nAnswer: -6, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*q*z**2 - q*z + 81*z**2 + 216*z wrt z.\nAnswer: 24*q + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668433880 to the power of 1\/3, to the nearest integer?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)*(-1)\/1. Suppose -2*b + b = w. Let g = b - -1. Is 0 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {p: 2, d: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 4*n**2 + 7*n + 4. Let l(x) = -x**3 + 3*x**2 + 7*x + 3. Give 4*l(y) - 3*r(y).\nAnswer: 2*y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 794, 2, 5 in decreasing order.\nAnswer: 794, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h. Let c(f) = -7. Let l(t) = -26*t - 28. Let u(j) = 4*c(j) - l(j). What is u(g(s))?\nAnswer: -390*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 - 31. Let t = -8 + k. Solve -4*p = -t + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*(k**(-1)*k*k)\/k)\/k)**15\/(k**(-4\/3)*k\/k**(-1)))**(-14) assuming k is positive.\nAnswer: k**(-602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.85 + 14. Let k = -0.05 + s. Round k to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3*j**4\/4 - 20*j**3 - 80. Find z, given that x(z) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 3*r - 2*r + (1 - 4 + 1)*(-12*r + 3*r - 2*r))*(-2 - 2 + 3 + (-1 + 3 - 1)*(4 + 1 - 3))*(-11*r + 0*r - 2*r) in the form h*r**2 + z*r + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Let t = w - -1. Suppose 5*r = 2*r + t. Solve d - r*d + 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**5 + 4086*s**4 - 608098*s**3 + 8047528*s**2 + 2819390880*s + 704335232 = 0. Calculate s.\nAnswer: -53, -1\/4, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 8, o: 3, j: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 78*a - 7)*((-2*a**2 + a**2 + 0*a**2)*(0*a**2 - a**2 + 3*a**2) - 2*a**2 + 2*a**2 + a**4 + (12*a**3 - 3*a + 3*a)*(0*a - 2*a + 6*a)).\nAnswer: 3666*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 9. Let k be d\/(2\/(-8)*14). Let p be (6\/(-12))\/(10\/(-4)). Which is the smallest value? (a) 0.5 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 - -203.4. Let m = t + -3.7. Suppose -3*q + 3 = -0*q. Which is the closest to q? (a) 3 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8293188 by 23831.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -12\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1026802 and 30804060?\nAnswer: 30804060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**4\/2 + 33*m**2. Let s(c) = -c**2. Give s(a(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 648*k - 52488 = 0. What is k?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 6.2851855?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -85. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3 - 37 - 54*h**2 - 2*h**4 + 50*h + 24 + 22*h**3 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4735*d**5*h + 356*d**4*h - 2*d*h + 32532*d + 2*h + 12 wrt d.\nAnswer: -94700*d**3*h + 4272*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -5, -1, 5, -553 in ascending order.\nAnswer: -553, -33, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 10) + -6 + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167086?\nAnswer: 2, 19, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -360, 2, 4, 0, 6, -3, 106 in ascending order.\nAnswer: -360, -3, 0, 2, 4, 6, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121276*l**2 - 24259*l**2 - 24259*l**2 - 24250*l**2 - 24260*l**2 - 24253*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1125 - -1129. Let a = -6\/61 + 530\/427. What is the third biggest value in -5\/4, 0.1, a, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3596 = 7*c - 3*c, -893 = -u + 2*c. List the prime factors of u.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 + 38*i**2 + 4. Let v(c) = -c**2 + 1. Give -4*v(j) + x(j).\nAnswer: 4*j**3 + 42*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493621.\nAnswer: 493621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2993 = b - 3*w, 0 = 4*b - 5*w - 12006. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47688634 and 140?\nAnswer: 476886340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.563 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 31.\nAnswer: -18\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((48\/(-21))\/(-8))\/((-15)\/(-70))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a)**(-22) assuming a is positive.\nAnswer: a**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)\/((t*t**(1\/3)*t*t)\/t))\/(t**5\/t**8) assuming t is positive.\nAnswer: t**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q**5 + 13*q**5 - 22*q**5)*(2 + 1 - 5) + 29*q**5 - 9*q**5 - 11*q**5)*(3 + 1 - 2).\nAnswer: 42*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1895909, -50, 1 in ascending order.\nAnswer: -1895909, -50, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-20)\/(-15))*10*(-128)\/(-4000)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = -3*o. Let y = 27090 - 27095. What is the nearest to -3 in 0.2, o, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**4\/24 + v**3\/3 - 3*v**2\/4 - 27*v - 9. Let m(r) be the first derivative of p(r). Factor m(l).\nAnswer: -(l - 3)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 0*g + 2*g + 1 + 0*g**3 + 12*g**3 to the form t + q*g + w*g**3 + v*g**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697566410.\nAnswer: 2, 5, 337, 206993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -16743370.339.\nAnswer: 16743373.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 196*n**2 - 223*n + 5564. Determine t(197).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12*l = 14*l + 4, 0 = -4*v - 4*l - 16. Let a(b) = -2*b**3 - 2*b + 7. Give a(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (67\/(-7) + 7)\/(2\/(-14)). What is r in 570*r**2 + 454*r - 1037*r - 4802 - h*r**3 - 3631*r = 0?\nAnswer: -1, 49\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90085, -167043, -244001, -320959, -397917?\nAnswer: -474875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 4272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.97 or 4?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4389\/212135)\/((-6)\/(-20)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -85*r + 70*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 5018695317946\nAnswer: -5018695317944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-2700)*-9*(-2)\/(-4). What is the nearest to f in 18, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-3*-1. Suppose 5*b = d*l - 14, b - 4 = -b. What is the smallest common multiple of l and (-5*11\/(-66))\/((-5)\/27)*-2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 247 and 1532?\nAnswer: 378404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(105\/(-196)))\/((-12)\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.91 - -33. Let z = -0.09 + b. Is z > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 5*u - 12 as y*u + d and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312 = -189*z - 802 - 910 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(-1 + (-18)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 232. Suppose -3*u + 222 = -j. Calculate the remainder when u is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23706 and 1402166?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 104 = -8*o. Let j(u) = -11*u - 15*u + o*u - 2*u**2. Let l(a) = 4*a**2 - 13. Calculate j(l(x)).\nAnswer: -32*x**4 + 208*x**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 28.6.\nAnswer: 85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j**2 - 5. Let n be 1 - 2 - -2 - -3. Let w(q) = 5*q**2 + n + 2 - 2. Let u be 4\/3*-3 - 0. Determine u*z(r) - 5*w(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3450 + -2?\nAnswer: -3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 12. Let m = 16 + c. Find the second derivative of -3*w**5 + w**5 + 3*w**m - w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-590) - 0\/3. Let w = x + -923\/118. What is the common denominator of w and 41\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 248793*k**2. Let z(h) = -461*h. Determine z(j(u)).\nAnswer: -114693573*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10943 divided by -72?\nAnswer: -10943\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-368)\/552*((-4)\/4)\/(14\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2146\/18 - (-32)\/(-144). Suppose -d*t = -110*t - 1314. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/9 + 2014*o**3\/9 - 34754*o**2\/9 + 63458*o\/9 - 10240\/3 = 0.\nAnswer: -1024, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0.06918083\nAnswer: -0.0006918083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4351, 8701, 13051, 17401?\n\"Answer: 4350*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 32*m. Let a(q) be the third derivative of m*q**3 + 2*q**2 + 0*q + 0 + 1\/4*q**4. Let d(j) = -j. What is d(a(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (18 + 703\/(-38))*(-247575 + 1 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2)**2*-4.\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -47\/85?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9105.1196 + 9098. Round u to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-b + b + b**4)*(-3 - 6 - 2) - 1 + b**4 + 1.\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 - 2*q - 8. Let v be (4 + -7 - 3) + (1 - -2). Let p be z(v). Let b be (69 - -6)*p\/3. What is b rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 65, 83, 107, 137, 173?\n\"Answer: 3*v**2 + 3*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2261, -4, 3, 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161070319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3617521 is divided by 180876.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4356)*-2)\/(sqrt(242) + sqrt(242)*-1 - sqrt(242)))\/((1*sqrt(108) + sqrt(108))\/((sqrt(300) - 1*sqrt(300) - sqrt(300)) + sqrt(3)))*6)**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7196*w = -7086*w + 3740 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*y + 140*y - 123*y = -76560 for y.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, g: 2, s: 3, n: 2}. Give prob of picking 1 n and 2 t.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -31 + (-3 + 3 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1070)\/(-2033)*1235\/520.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 165.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m - 86. Give x(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 - 45 = 0. Suppose a + 6 = 4*o. Suppose -3*p + 1 = 2*q - 5, 12 = 2*p + o*q. Which is smaller: -1\/8 or p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10855.71 rounded to the nearest 10?\nAnswer: 10860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 + 5*c + 7. Let y be p(-5). Suppose -y*i - 3 = -8*i. Let u = i + 33. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*t + 166*t - 15 = 3*w, -5*w + 6 = 2*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 911*r + 51527. What is c(-106)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)*(-7 + -7 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 1281 = -1253 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 3 + 2*d**3 - 2*d**3 - d**3 - 3*d**2. Let y be (-10)\/(2 + -5 - -2). Let s be 24\/(-10) + 4\/y. Calculate k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 872 - 862. Solve -4*f + 6 = 5*u, -8*u + 3*u + j = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115307 is divided by 148?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 49, 71, 93?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6951132 and -91\/5860?\nAnswer: 34755660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/31 and -29\/15?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0414 - -66.813.\nAnswer: 66.7716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-8)\/(-18)*3. Let h = -7156 - -6956.95. Let w = -199 - h. Is c > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 77*d**2 - 16 + 95*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 7*j**2 + 5*j + 9. Let n(v) = 2*v**3 - 17*v**2 - 12*v - 18. Let p(c) = -2*n(c) - 5*x(c). Suppose -12 = -3*f, 3 + 28 = 5*l + 4*f. Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:05 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4\/2 - 2150*k**3 - 2313399*k**2 - 4620350*k - 4618201\/2 = 0.\nAnswer: -2149, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (3 - 14 - 5) + (19 - (-2 - -7)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4347350 + 71?\nAnswer: -4347268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -23*c**5\/20 + 3*c**4\/2 + 7*c. Find the third derivative of r(s) wrt s.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*l - 2)*(3 + 99*l - 203*l + 103*l) + (l + l - 4*l)*(0*l + 3*l - 2*l).\nAnswer: -5*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1280\/((133506\/33375 - 4) + 0). What is j rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 820 + -525. Let d be 14\/(-112) - 108832\/(-256). Let x = v - d. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84326*r**2 - 40555*r wrt r?\nAnswer: 168652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 76 = 4*r - 31*s, 0 = 2*r - 3*s + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmmqmmqnne. What is prob of sequence nq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5052 + 122948 = 8*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*2 - sqrt(180))\/sqrt(9).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 926 - 607*p**2 - 926 in the form r + q*p + c*p**2 and give c.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 - 24*r**2 + 3952*r - 31614. What is o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/3 + 154*x\/3 + 1640\/3 = 0.\nAnswer: -10, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/33? (a) -18 (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k**2 + 28*k + 230. What is the tens digit of u(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 6*n - 4. Let t be w(4). Find the third derivative of m**4 + 2*m**2 - t*m**2 - 4*m**2 - 3*m**2 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -3) + (-440)\/155. Let y = k - -1013\/62. What is the common denominator of y and 145\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -s + 15, -2*s + 3*q = 6*q - 25. Suppose -5*k + 21 = -u, s*u - 7 = -7*k + 4*k. Let a = 285 + -3703\/13. Is u at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/15 + g**4\/2 - 4*g**3\/3 + 8*g**2. Let x(b) = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 5*n + 155 = 21*y, 3*y - n - 95 = 0. What is the remainder when 383 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 6)*(-19*q**3 + 185*q - 185*q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 4315*a + 43046. Calculate b(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n - 5. Calculate l(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/150 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.533066l in millilitres?\nAnswer: 4533.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 437*k - 212331. What is t(-203)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m - 150. Let r be (10\/(-6))\/((m\/(-9))\/(-10)). Solve 1 = -r*k - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/16*0\/(-2). Let z(k) = -k**3 + 6*k**2 + k - 3. Let t be z(6). Suppose -t*l = -2*l. Solve i = 2*n - l*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -0.2, 1\/5, -3, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 33 = 5*d, 13*d - 16*d + 21 = 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 115. Determine d(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21443, 21430, 21393, 21320, 21199?\nAnswer: 21018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 159 - 21. Let f be (-5)\/(-1 + (-3)\/(-2)). Let x = f + a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*a - 8*a - 6 = 0, 2*a - 6 = -4*b. Suppose -6 = 3*r + b*y, -11 = r - 0*r + 4*y. Put -30, 2, r in descending order.\nAnswer: 2, r, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786345?\nAnswer: 3, 5, 7, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 292511037 and 60.\nAnswer: 5850220740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20438 divided by 11.\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1643067)\/5 + 222\/(-370). Is (-5)\/(-6) - (2 - u\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983958 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607 - -607.1. Let v = -0.31 + 2.91. Let t = -3 + v. What is the nearest to 1\/2 in t, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112262119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/2*w**2 + 3 + 0*w + 2*w**3. Give l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 8. Let x be 116\/6 + 10\/15 + -1. Let c be m(x). What is the greatest common factor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(120\/84)\/((-8)\/(-14)). What is the third biggest value in 3\/5, -3\/4, l, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5339 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: What is next in 30883, 123531, 277945, 494125, 772071, 1111783?\nAnswer: 1513261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -84. Let u = g + 39. What is the second smallest value in 6, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859003837 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 1627578 and 30438?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*(126051*r - 4*r**3 - 63034*r - 63017*r - 1919*r**2 - 5504*r**2) to y*r + u*r**2 + l + f*r**3 and give u.\nAnswer: 14846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -951\/217 + 4289\/434. Factor 7\/6*m**3 + q*m**2 - 5\/3*m + 0.\nAnswer: m*(m + 5)*(7*m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -82, -125, -196, -295, -422?\n\"Answer: -14*k**2 - k - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 5*f - 4. Let y be w(-5). Let u(z) = z + 4. Let m be u(y). Which is the nearest to 1? (a) m (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 = -16*o + 149 - 190 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615273 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/20 + y**4\/2 + y. What is the third derivative of f(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 4. Let d be m(-4). Suppose d*g = 5*g + 380. Let o = -54 - g. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 30. Is (-2850)\/c - (-6)\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y - y)*(-1 - 2 + 4)*(-4*y + y + 0*y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b**3 + b**2 - b - 1. Suppose 2*k - k + 1 = 0. Let p be v(k). Let s = 21 + p. What is the highest common divisor of 66 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.89 - 27. Let b = c - -0.1. Let r = b + -0.19. Which is bigger: r or -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-4))\/1*18. Suppose -5*d + 2*d = -h. Let v = d + -15. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v + v - 2*v)*(80 - 57 - 46) + (2*v - v - 2*v)*(1 + 3 - 2) - 2*v - v + 0*v)*(4*v + v - v)*(5*v**3 - 4*v**3 + v**3).\nAnswer: -408*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(11\/176*-28)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1, -10, 2\/11, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 + -190. Suppose -7 + 59 = -x*n. Is n at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 - 1 = -j, 4*j = -2*a - 22. Let q be (j - 14\/(-3))\/(4\/30). Find the second derivative of -9*n**q + 15*n - 3*n**5 + n - 4*n**5 wrt n.\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1745*s - 2 = 1741*s, 3*c + 4*s = -10 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*k + 95 - 512, -2*k = -3*o - 275. Let u = k + -132. Let x(d) = -d**2 + d. Let v be x(0). Solve -i + 3*i + u = v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 40456908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5934831 divided by 847833\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(42\/15 + -3). Let o be 24\/(-18)*2\/8. Sort o, z, -1 in ascending order.\nAnswer: -1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0.1, 0 in ascending order.\nAnswer: 0, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + 153. Let g be n\/(-6)*(-54)\/63. Solve 4*j + w - 16 = 5*w, g*w = 4*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192 and -3.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39194 is divided by 603.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 150*p + 139*p + 7*p**2 - 290*p. Suppose 3 = 4*d - 1. Give m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 6743*v - 33611 + 446*v - 3835 - 164*v**2.\nAnswer: (v - 79)**2*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 0.4 (c) 29\/10 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -11. Suppose 0 = -3*u - 0*u + f - 19, 3*u = 3*f - 21. What is the remainder when o is divided by ((-20)\/u)\/(2\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-seven halves of a hour?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.9. Put -5, b, 5, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -503\/3? (a) -0.4 (b) 2\/13 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8154323478 - 8154323425.00000029. Let v = x + -53. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16716 is divided by 3807.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 - 187 - 597 = -104*t + 61 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/9)\/(9 - (-869)\/(-99)). What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1205*r**3 - 5*r + 4. Let h be f(1). Let u = h - 716. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 1 + -6)\/(8\/(-12)). Let y(f) = -f - j*f + f. Let l(b) = b. Determine l(y(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/1248528 and 61\/6327?\nAnswer: 3745584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 6 + 148219*z - 6 - 148219*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70850075?\nAnswer: 5, 673, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 51. What is the remainder when 44 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 118, 242, 378, 526, 686, 858?\n\"Answer: 6*m**2 + 106*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let j = 1 - -1. Let l = 0 + 0. Let u(b) = b + l*b + j*b. Give u(h(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + -121277?\nAnswer: -121257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**2\/3 + 326*g\/3 + 328.\nAnswer: 2*(g + 4)*(10*g + 123)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1681, -2644, -3605, -4564?\n\"Answer: p**2 - 966*p - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + 1 - (4 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 + 1438*p\/7 - 1437\/7.\nAnswer: -(p - 1437)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*n + 20 = 0, 4623*g - 32 = 4619*g - 4*n for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 381935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/54)\/(-35)*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 52*t**2 + 2*t - 105. Let r be s(52). Which is the third biggest value? (a) 62 (b) -0.2 (c) r (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(343)*2) + sqrt(224)\/(2*-2*sqrt(8)) + -4.\nAnswer: -29*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or 2\/5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 17*b - 5962. Let n = b - -861. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124681344 to the nearest integer?\nAnswer: 11166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((120\/(-18))\/10). Suppose -b - 2*s + 5 = 2, b - 2 = -x*s. Calculate the smallest common multiple of b and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/10*2025\/(-1134)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3933, -7972, -12009, -16044, -20077, -24108, -28137?\nAnswer: -32164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 741 = 24*c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421386 (base 9) in base 10?\nAnswer: 250368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 114*o - 2345. What is the remainder when b(-29) is divided by 107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**3*m*m))\/(m**29*m)*(m**(-9\/7))**(-2))**(-44) assuming m is positive.\nAnswer: m**(9680\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h - 13*h + 22*h + 242 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -2*u - 197. Let w = u - -235. Calculate the remainder when w is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -318*n - 629. Determine x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 102725.\nAnswer: 205450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77103310\/7 smaller than 11014758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 483, 1065, 1889, 2961, 4287, 5873?\nAnswer: 7725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 28. What is p(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45824 times 54?\nAnswer: -78.74496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4498 + -4519. Sort 13, -8, n in descending order.\nAnswer: 13, -8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1379*1869.62\nAnswer: 2578205.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18107495 and 11626.\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = -3*w + 6483, 4*v = w + 8644. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 5*l - 4. Suppose 0*u - 30 = 3*u - 5*t, u + 10 = -t. Suppose 5*y - 1 + 26 = 0. Let o = u - y. What is z(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3881421*f + 66 + 71 - 3881425*f + 2*f**2 + 0*f**2 as o*f + m + j*f**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p - 3*s - 35, s + 5 = p. Calculate the lowest common multiple of p and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -47440, -2 in decreasing order.\nAnswer: -0.3, -2, -47440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -2120013312331?\nAnswer: -2120013312323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -16005.\nAnswer: -4801.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*l + 30, 6*t - 2*l - 5 = 3*t. What is the second derivative of 7*b - 4*b**5 + 8*b**3 - t*b - 1 + 9*b**5 - 6*b**5 wrt b?\nAnswer: -20*b**3 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*c + 10. Let m be (-1)\/3 - (-12)\/(-18). Put m, c, 5 in decreasing order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 116980956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.024?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 34*f - 1322. Let i(s) = -93*s + 3964. Determine -11*c(r) - 4*i(r).\nAnswer: -2*r - 1314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -48*c**4 + 8474*c**3 + 205580*c**2 + 810050*c = 0.\nAnswer: -17, -5, 0, 4765\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33430.\nAnswer: 2, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-3137.490138\nAnswer: -3137.790138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3013644 and 8.\nAnswer: -24109152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/11 (b) -4 (c) 8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189720)\/2883 - (-12)\/(-62)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 7. Let d(h) = h - 21. What is l(d(b))?\nAnswer: b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4680 is divided by 473?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, a: 6}. What is prob of sequence paap?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354438550?\nAnswer: 2, 5, 1987, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 407*y + 5. Let u(l) = -393*l - 4. Calculate 3*h(w) + 4*u(w).\nAnswer: -351*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 15. Let a be f(-5). Let i be ((-42)\/10 + a)\/((-4)\/(-30)). Is i less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149712.\nAnswer: 2, 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 2. Suppose 11*d = f*d. Solve 3*n = -6 - d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7687 and 38032.35164.\nAnswer: 30345.35164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190132930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -7883, -5 in decreasing order.\nAnswer: 1\/10, -5, -7883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let w = 0.084 + -0.177. Let a = w + -2.907. What is the nearest to l in -4, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5550 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -109, -133, -191, -295, -457, -689, -1003?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-3906)*21)\/((-1)\/(-1116)*-3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.2304 weeks to milliseconds.\nAnswer: 22516945920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 + 0 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 19, 24, 29, 34, 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(15 + -47))\/((-10)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 8908*y\/7 - 116142\/7.\nAnswer: 2*(y - 4467)*(y + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**2 - a - 8. Calculate g(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 516 = 2*t - 3*g, -2*g = -t - 177. Let v = t + 2167\/13. Is v smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/6 + 2\/(-2). Suppose 0 = 2*x - h*x + 21. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4051 less than -13.65035?\nAnswer: -18.05545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*c + 2*d + 28, c - 11 = -2*d. Let o = 8 + -5. Suppose b - 3*y - 4 = 0, 0 = -o*b + b - c*y + 19. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27050 is divided by 3005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1207, 1187, 1165, 1141, 1115, 1087?\n\"Answer: -f**2 - 17*f + 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*b**3*q**2*y - 2*b**3*y - b**2*q**2 + 3*b*q*y - 2*q**2*y + 517*q*y wrt q?\nAnswer: -38*b**3*y - 2*b**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 20 + 45. Let o(b) = 6*b - 9. Let h be o(2). Solve v*c + 12 = -h*i - 7, -2*i = c + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knk when three letters picked without replacement from {n: 2, k: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/53 or -12.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 + 4*j**3 - 2*j**3 + 1)*(2*j + 1 - 1).\nAnswer: 16*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*v + 5 = 0, -5*v = -5*f - 4*v + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -2*s. Suppose 0 = -5*q + 2*i + 3*i, -2*i + 14 = 5*q. Let h = q - s. Is h less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 - 11*f - 1. Let g be m(-11). Let r(b) = 18*b**3 + b. What is r(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - 6*w + 6*w + (3*w - 6*w - 6*w)*(4*w**2 - w**2 - w**2).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p + 594 - 254 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 241\/4, 705, -0.1, -1?\nAnswer: 705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -857 divided by -119\nAnswer: 857\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 53*j - 11227. Let o(x) = 38*x - 7484. What is -5*g(l) + 7*o(l)?\nAnswer: l + 3747","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 763725407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-1)\/(-2) + 0)*0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c - 339 = -3993. Let q be -9*(-11 - (0 + -2)). Let p = c + q. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 41.739523 days?\nAnswer: 5.962789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 1 (c) -112 (d) 5 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 5*o - 5 + 2 - 4*o. Let j be k(-6). Suppose -j = -5*h - 0*h. Which is the second biggest value? (a) 1\/2 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10805 or -12683?\nAnswer: -10805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17168 + -9991. What are the prime factors of f?\nAnswer: 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times -7.4\nAnswer: 31.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1345 - -1346. Let t = -110 - -63. Sort j, -4, -3, t.\nAnswer: t, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-694)\/38 + 3838\/202.\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 581 - 3*z**3 + 581 + 5*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (75325\/138)\/(-25) - -22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 299707971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4088 - -2687. What are the prime factors of n?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -76.6. Which is the third smallest value? (a) -5 (b) 2\/7 (c) y (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 715 = -5*h, 3*i - 2*h - 1092 = -3*h. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50648250 to the power of 1\/2, to the nearest integer?\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 20. Let u(c) = c**3 + 7*c**2 + 3*c - 1. Let j be u(-3). Let o = m - j. Let a(h) = h**3 - 7*h**2 + 5*h + 7. Calculate a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7498894us to minutes.\nAnswer: 0.00000004583149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1293*a - 93*a + 103*a + 279*a**4 - 9292*a**2 + 1377*a - 192 - 448*a**3 - 83*a**4.\nAnswer: 4*(a - 8)*(a + 6)*(7*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 84*v + 13. What is the remainder when 109 is divided by o(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6321\/86 - 67)\/(2*1\/(-8)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -142, -157 in ascending order.\nAnswer: -157, -142, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 30. Let c(q) = 15*q + 1. Give c(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -74*q**3 + q**2 + 19*q + 18. Determine t(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0 = -8. Factor 2*u**3 - 12*u**4 + 2*u**2 - b*u**5 + u**3 + 2*u**5 + 7*u**5.\nAnswer: u**2*(u - 1)**2*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13671 (base 10) to base 6\nAnswer: 143143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 11538522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003074011 rounded to seven dps?\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6598, 13173, 19716, 26215, 32658?\nAnswer: 39033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -106. What is the remainder when 36 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -56*p. Let l(d) = -11*d. Suppose -5*m - 5*u = 0, 9 + 12 = -4*m + 3*u. Let w(x) = m*y(x) + 16*l(x). Let o(f) = 7*f. Determine 6*o(j) + 5*w(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034796 rounded to six dps?\nAnswer: 0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from aaalllaaaaalaaldaall?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 335936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 + 136*v - 123. Let g = 40 + -17. What is the remainder when m(10) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1061651, -2123307, -3184969, -4246637, -5308311, -6369991?\n\"Answer: -3*o**2 - 1061647*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*j + 50, 4*j = 990*s - 985*s - 55 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-3))\/(2 + -1). Let j(i) = 2 - 4 - 45*i + 4*i + 8*i. List the prime factors of j(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*a - 8240002, -a + 2*m = 2*a + 6180004. What is a rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 6*c**2 - 5*c + 3. Let k(z) be the second derivative of z**3\/6 - z**2\/2 + 2*z. Let p(n) = -k(n) - q(n). What is p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - (-1 - 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/40 - d**5\/20 + d**4\/8 + d**3\/2 - 7*d**2. Factor h(q).\nAnswer: -3*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 74. Let i = 54 - 52. Suppose i*d - 40 + 0 = -5*c, -4*c + 100 = 5*d. What is the least common multiple of d and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 3*v + 2*j, 5*v = -j - 1. Suppose -137200003 = 4*q + 3*u, 3*q + u + 102900001 = -v*q. Round q to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o + 11. Let j(i) = -2*i**2 - 3*i - 21. Let g(d) = 11*b(d) + 6*j(d). Let c be g(-5). Solve c*h = 4*x + 13, 4*h = 5*x - 1 + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2587 + 2764. Solve 0 = -66*o + 7*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -2*b**6 - 4*b**3\/3 - 9. What is the third derivative of d(v) wrt v?\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 0 + 0 + (-2 - 2*t + 2)*(-3 + 0 + 5) + (0 + t + 0)*(1 + 2 - 5).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/362181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22875138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Is w <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from aaaqqaqaqaqa.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 6 - 2 - 2*m**2 + 1 - m**3 + m + 9 to k*m**4 + d*m + a*m**3 + o*m**2 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3128427 is divided by 3128413.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1092776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjr when three letters picked without replacement from {j: 1, r: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3 + 5. Let g be -2 + 2 + 0 + -4. Let p be ((-2)\/(-8) + t)*g. Sort 0, p, -3.\nAnswer: -3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4601 by -107.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*o = -7*s - 40, -2*o = -2*s - 20. Which is the nearest to 1\/4? (a) 0 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3554136 - 741554 = -5*d, -4*a + 5*d - 17182790 = 0. What is a rounded to the nearest ten thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 14. Let h be u(-7). Solve -1 = -l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 3*f + 2. Let i(p) be the third derivative of -1\/2*p**3 - 41 - 1\/60*p**5 + 1\/4*p**4 + 0*p + 3*p**2. Determine 3*i(u) + 5*n(u).\nAnswer: 2*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3352334.2 times -9?\nAnswer: 30171007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 42*i - 47. Let d(m) = -43*m + 49. Let s(a) = 5*d(a) + 4*u(a). What is the hundreds digit of s(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57\/14 + -93\/28. Let 9\/4*n + 3 - r*n**2 = 0. Calculate n.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + (sqrt(192) - (4 + sqrt(192))) + 1 + 2*sqrt(192)*-1)**2.\nAnswer: -32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 21*d - 9. Determine s(22).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 + -147. Solve n = 4 - l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(8 + (748\/5)\/(-17))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*f - 25, -f = -6*c + 2*c + 17 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*y - y. Suppose -1492 = -95*u + 85 + 323. Calculate the lowest common multiple of y and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2029, 16102, 54267, 128560, 251017?\nAnswer: 433674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1)*15\/(-6). Suppose -y = 3*x - 9, -z*x - 15 = -10*x - y. Solve -3*o + 2*r - 13 = 0, -3*r + r = -o - x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92108 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 3*(sqrt(204) + sqrt(204)*-2 + sqrt(204)))\/(5*sqrt(192)).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16653473891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -126. Suppose s + 6 = d*s. Solve n - 5 = -2*a, 0 = -a + 4*n - s*n + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/6*(-1640)\/(-205)*(-9)\/84?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000069018116 rounded to seven dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) -5\/2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -20)*2\/6. Let b be (-8)\/3*w\/(-4). Solve b = 6*s - 2*s + 2*v, -2*v - 14 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-270)*9*(-260)\/143?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -747872 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 6. Let b(z) = 18*z**2 + z + 2. Let j be b(-1). Let t = j + -23. What is y(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 - x - 5. Let l(k) = k**3 + k + 6. Let a(j) = 4*d(j) + 3*l(j). Let c be (-56)\/16 - 2\/4. Determine a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14886.9 to the nearest ten.\nAnswer: -14890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*w + 10 = -9, -w - 3 = -i. Suppose 4*y + 2*p - 20 = 0, 0*p + 14 = 4*y - p. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/261 + -17734\/1827. Suppose 8 = -4*p + 16. Suppose 4*o = h - 39, -h = 2*o + p*h + 9. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = -10. Suppose -30 = -5*z - 0*i - 5*i, a*z + 2 = 2*i. Sort z, -1, 1 in descending order.\nAnswer: z, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a + 22. Let q(c) = -4*c + 11. Let s(d) = 3*f(d) - 7*q(d). Let y be s(15). Solve 3*r + 5*w = 14, -3*w - w = -y*r - 24 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144420 and 17185980?\nAnswer: 17185980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 990 and 5280.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 6*d**2 - 15 - 4*d**2 - 41 - 20 to the form v*d + a + x*d**2 and give a.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*a = -151*a + 1638. Calculate the least common multiple of a and 417.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.176 rounded to zero decimal places?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:32 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9950 is divided by 1409?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 3. Let q(c) = -6*c - 3. Let m(y) = 4*n(y) + 3*q(y). Suppose 4*l + 7 = -1. Let a be m(l). Which is smaller: -18 or a?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 2, h: 1, g: 1, u: 1, q: 2}. What is prob of sequence qw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -293.\nAnswer: 145\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/462 and -5\/264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676*n**5 - 227188*n**4 + 2240928*n**3 - 6614096*n**2 + 7729280*n - 3129600 = 0. Calculate n.\nAnswer: 1, 20\/13, 6, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = -234 + 268. Suppose -s + 4*s + 6 = 0. Sort d, -1, s, 0 in increasing order.\nAnswer: s, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.316 - 0.116. Let y = -10 + v. Suppose -5*z + 5*j - 25 = 0, -4*z - 36 + 16 = -j. Which is the second biggest value? (a) -4 (b) y (c) z (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -11*s**5\/60 - 3*s**2 + 70. Let c(n) = -2*n + n - 2*n + 4*n. What is d(c(y))?\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 5*l**2 - l**2. Let c(q) be the second derivative of q**5\/12 - 11*q**2 + 6*q. Let h(s) be the first derivative of c(s). Calculate z(h(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 59308 + 16915. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*8\/(-40)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20415731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189720 is divided by 243.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -0.15, -0.2, 109\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = u - 17*f - 17, -4*f - 10 = u. Suppose -2*k - 1 = 3, -5*w - 4*k - 3 = 0. Let z be 4\/4 + (10 - w). Calculate the highest common factor of u and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w + 1. Let v(z) = -z**3 - 12*z**2 - 4*z + 2. Let m be v(-12). Suppose 0 = -4*s - m + 150. Solve -w*k + 40 = k + 5*u, u = -4*k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146.9*-5323.\nAnswer: 781948.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - -151. List the prime factors of f.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 - 12*j + 10. What is k(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 3\/8 (c) -15 (d) 380\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2963106*y**2 - 5926218*y**2 - y**3 + 2963112*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + 13*n**2. Let d(a) = -a**5 - 2*a**3 - 12*a**2. Let b(p) = -6*d(p) - 4*f(p). What is the third derivative of b(v) wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 807*g - 803*g - 835*g + 63 + 2441*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 1159*c + 13837. Determine z(-12).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 879295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6588 divide 5761283949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66643 divided by 60.\nAnswer: -66643\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*(-1 - -4). Let k(g) be the second derivative of -g**5\/20 + g**4\/3 + g**2\/2 + g. Is k(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 218?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44264.36984 rounded to the nearest ten?\nAnswer: 44260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c + 16. Let p(z) = -57*z - 11. Let o be p(c). Suppose -8*h + 13*h = o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-70)*15 + 10. Solve -4*p + 5*o + 7 = -7, -p - 7 = n*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 + 6. Let l be ((-99)\/(-220) - (-23)\/(-115))*-3. Which is the biggest value? (a) t (b) -1\/25 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1998\/(-8658))\/(10\/(-13)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3081501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23265, -46673, -70051, -93399, -116717?\n\"Answer: 15*x**2 - 23453*x + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:30 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 47 + 8 = 0. Solve 0 = f + 5, -2*c + 0*f = x*f + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose v + 1 - 4 = 0, z = -4*l - 4*v + 4. Is ((-43)\/l)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 201562188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -100498\/275 at least -366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1077372 and -1077376 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 29\/10, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 11*u - 6. Let x(j) = 62*j**2 + 2*j - 1. Let n be x(u). Let m = -19 + n. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.3 (c) 0 (d) -4 (e) 14.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3553 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.442 * 0.05.\nAnswer: 0.1721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/o**(5\/4)))*(o*o**4)\/o)**35*((o*o**0)**(7\/8))**(4\/9) assuming o is positive.\nAnswer: o**(4739\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Suppose 5*n = n. Suppose -h*i = u - n*i - 46, 5*i = 20. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -159*q - 1752. Calculate h(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 4*m. Suppose 4 = 5*d - 11. Suppose 5*g = 2*g. Solve -n + m - d = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1359 - 1296. What is the least common multiple of x and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 - 7*d**2 - d. Let n(z) = 3*z**3 - 6*z**2 - 2*z. Calculate -5*n(a) + 4*q(a).\nAnswer: a**3 + 2*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.668 + -0.068. Let g = 1558641.59929 - 1558635. Let f = u - g. Round f to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 15 = 0. Let m be (2\/d)\/(143\/(-39)). Sort -4, -0.1, m in increasing order.\nAnswer: -4, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 155, 210, 231, 206, 123, -30, -265?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 4) + 3 + -5 - -5 - -32\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/28)\/(7\/((-2352)\/32)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8644 - -8639. Which is the second biggest value? (a) 6 (b) 2\/7 (c) -1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 2151 - 6825 = 0. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/((-48)\/(-320)*-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 5 - 5)*(1498 - 7*o - 1499 + 20*o) in the form i + q*o**3 + n*o + s*o**2 and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257065 is divided by 7102?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-33)*-1*5\/(-220)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32547135314347 and -0.5.\nAnswer: 32547135314346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 14 + -16 - (20 + -30)) + -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0418556nm to kilometers.\nAnswer: 0.0000000000000418556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, -1\/3, -2, -2\/3 in ascending order.\nAnswer: -28, -2, -2\/3, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/12*(-1*3)\/(711\/316).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 0.06. Let z = 1.9 - -0.1. Let w = -320\/481 - 2\/1443. Which is the nearest to w? (a) z (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45a (base 15) to base 2.\nAnswer: 1111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.995 plus 2.1?\nAnswer: -9.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7435356ml?\nAnswer: 0.0007435356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132556681 by 6.\nAnswer: 132556681\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30*w**2 + 12*w - 153. Does 94 divide q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + h. Let r(q) = 5*q**3 + 5*q**2 + 8*q + 1. Let y be ((-4)\/(1 + 3))\/(-25 - -26). Give y*r(w) + 5*i(w).\nAnswer: -5*w**3 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637235 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07401 - -0.00401. Which is the nearest to 3? (a) l (b) 12 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*a - 7*a. Suppose 2*x = a*x - 2. Solve -c + x*c - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -16. What is the third derivative of 28*h**2 - y*h**4 - 15*h**4 - 26*h**2 wrt h?\nAnswer: -456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024163.\nAnswer: 3, 61, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*p + 16 = 3*p, -5*b - 9 = -4*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2678796.741 - -1257195612.259. Let v = -1259874468.9999967 + x. Let m = 60 + v. Round m to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.4429 micrograms in milligrams?\nAnswer: 0.1064429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 4*o**4 - 2*o**3 - 8*o**2 + 3*o**4 - 2*o + 6*o**2 to the form w*o**4 + a*o**3 + l*o**2 + v*o + g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1664?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3921*u + 7815*u - 3894*u - 10*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m**(-11)\/m*m)\/m)))**(-31) assuming m is positive.\nAnswer: m**372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 0, -2*c + 7 + 1 = 2*i. Let q = c - -1. Let x = -3\/17 - -1\/102. What is the nearest to -1 in 0.1, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**4\/4 + 3*y**3 + 4*y**2 - 19*y - 12. Let r be k(9). Suppose 0 = -3*p + 4*o + 50, r = 3*p - 3*o - 1. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 357 - 404. What is the hundreds digit of b\/(((-3)\/60)\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2888 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -33 - 12. Let t be 1\/(57\/n - -4). Solve 4*i = -t*x - 33, 0 = -x - x - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 10*u + 8. Give y(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/5 - (-6)\/15. Let p(f) = -1 - 16*f**2 - 19*f + 17*f**r + 9. Calculate the least common multiple of 6 and p(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/36 + 4*r**3\/27 - r**2\/6 - 22*r - 17. Let o(t) be the first derivative of g(t). Suppose o(m) = 0. What is m?\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**4 + k**3 + 77*k + 75*k + 4 - 157*k + 3*k**2. Let v(d) = 5*d**4 - d**3 - 6*d**2 + 9*d - 7. Let o(u) = -4*v(u) - 7*x(u). Solve o(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 34*l - 64. Let a be h(-32). Suppose 77*z - 6 = 75*z - 4*v, a = -4*z - 5*v. Let s(b) = b - 3. Let m(i) = i - 2. What is z*m(x) + 3*s(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4211 + -2932. What are the prime factors of g?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 49.06. Let i = o - 1.06. Sort 2\/7, i, -5 in decreasing order.\nAnswer: 2\/7, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371631*d**5 - 33*d**2 - 400*d - 4.\nAnswer: 22297860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/4)\/((-12)\/32). Let u = -9 + f. Let n be -3 + 2 + (u - -42). Calculate the greatest common factor of n and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1172365, -2344887, -3517409, -4689931, -5862453?\n\"Answer: -1172522*u + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 3340*g + 98735.\nAnswer: 5*(g + 31)*(g + 637)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10912 (base 11) to base 15\nAnswer: -49e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -1\/3 (c) -4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 85190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194746 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-399)*19*7\/((-665)\/10).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24414578*n**3 + 9657332 wrt n.\nAnswer: 73243734*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - o = 0, -156*o = -5*t - 160*o + 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/7 - 72*y**2\/7 + 276*y\/7 - 208\/7.\nAnswer: 4*(y - 13)*(y - 4)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2893636?\nAnswer: 2, 723409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16077?\nAnswer: 3, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898178 - 3958178 = 6*n. Round n to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.78 (b) 0.2 (c) 0.4 (d) 7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 320 = -6*m. Let c = m - -44. What is the remainder when 13 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 82\/9*d**3 + 0*d - 80\/9*d**2 - 2\/9*d**4 + 0 = 0.\nAnswer: 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 - 4*s + 4. Let d be 29\/(2755\/76) + (-66)\/(-5). Let n(i) be the first derivative of -8\/3*i**3 + 5*i - 5\/2*i**2 - d. Calculate 6*n(w) - 7*v(w).\nAnswer: w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340110251 (base 6) to base 4.\nAnswer: 113201303113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z - z**3 + 3*z - 24 + 24 - 127*z**3 + (2*z**2 + z**2 - 2*z**2)*(0*z - 2*z + z) to b*z**2 + h*z**3 + n + r*z and give h.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 - 2*z**2 - 24*z + 10. Let c(w) = -6*w**3 - 2*w**2 - 22*w + 10. What is 6*c(o) - 5*n(o)?\nAnswer: -o**3 - 2*o**2 - 12*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 14708*h + 321640.\nAnswer: 4*(h + 22)*(h + 3655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1233 + 6.8702. Let g = -11 + r. Round g to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 + 823775*g**3 - 1152*g**2 + 229*g.\nAnswer: 24*g + 4942650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q + 226 = -4*v + 254, -2*v = 4*q - 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -30, 2\/5, 6, -1\/179, 14, -0.1, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (19 - -3) - -3. Let v(y) = -y**2 + 2*y - 1. Let w be v(-2). Let m = w - z. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 30. What is the remainder when 35 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 158355.\nAnswer: 158355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 2*x**2)*(-4 + x + 10 + 0*x).\nAnswer: 2*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*o + 653*o + 88 = 0. Let u(v) = 2119*v - 31. Let d be u(o). Round d to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -4 + 1 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 40, 57, 72, 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:38 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 76?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*k**2*r**3*v - 3*k**2*r*v**2 + 8*k**2*r*v - 3*k**2 - k*r**3*v - k*r*v + 127319*r**3*v**2 + 3*r**2*v wrt v?\nAnswer: -6*k**2*r + 254638*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -24704923?\nAnswer: 24704924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87938358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6706 + 0.8026. Put p, -0.5, 4\/5 in increasing order.\nAnswer: -0.5, p, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 - ((-2420)\/(-350) - 7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4*y**3 + 74*k**3*y**3 - k**2*y**2 - 5*k*y**3 wrt k.\nAnswer: -48*k*y**3 + 444*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*l**3\/5 - 4971*l**2\/5 - 6823*l\/5 - 372.\nAnswer: -(l + 1)*(l + 620)*(8*l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)**20)**(-35)*(((r\/r**(2\/5))\/r)\/r*r**(-2)*r)\/(r**(-5)*r**(-1\/2)\/r) assuming r is positive.\nAnswer: r**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*h - 103*h + 48*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 + 3*i + 5. Let o be n(-1). Solve o*h = -2*m - 2, 2*m + h + 4*h + 14 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(((-4)\/(-2))\/(-4)). Calculate the smallest common multiple of -82*1\/u - (-6)\/(-24) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 438 - 439.5. Let t(w) = w - 4. Let z be t(7). Which is the second smallest value? (a) 0.3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 111*f**2 - 289*f + 33746. Give g(-116).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844005909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.3, 3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 - 2*v**2 + 0*v**2 + (2 - 2*v - 2)*(-v + 3*v - v) + 2 - 2 + 3*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Let p be -3 - (-1)\/(-6)*-19. What is the third biggest value in n, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - ((5 - 2) + -9). Let p = 2 + m. Let u(s) = 13*s**2 - 4*s + 9. Let o(x) = -x**2 + x. Let f(a) = p*o(a) + u(a). What is the derivative of f(r) wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 479782 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 + -0.1. Let f = 3.9 - g. Which is the second smallest value? (a) 0.4 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -47*q + 109. Let u be p(2). Suppose u = -2*y - 2*f + 121, -3*y - 5*f = -149. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2316 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2151 divide 115463529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-10)*220\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39895325 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 6*u**2 - u**2)*(2*u + u**2 - 2*u)*(1 - 2*u - 3*u - 2*u).\nAnswer: -21*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -141414 + 3?\nAnswer: -141411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000164 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 340944*f**3 - 428*f + 2194.\nAnswer: -24*f**2 - 2045664*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.33, -9, -2\/7 in decreasing order.\nAnswer: 0.33, -2\/7, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2. Let f = -1420.7 - -1420. Let k = h - f. Which is the second biggest value? (a) 0.4 (b) -1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 8:40 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b - 12. Let z be c(-4). Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.87 in -4\/7, -5, -121?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 342736485.\nAnswer: 342736481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 + -1.53. What is the closest to -0.2 in -5, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42065630 (base 7) to base 13\nAnswer: 971c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*x - 5, 67157*m = 67158*m - 5*x + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -211. Let j = l + -59. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/16263 and -1\/48.\nAnswer: 260208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 69148.4 kilograms?\nAnswer: 69148400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3345888 divided by 21.\nAnswer: -159328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1100) + -1 + sqrt(1100) + -2)**2 + sqrt(1100) + sqrt(1100)) + -5 + ((sqrt(11) + (sqrt(1584) + 1 - sqrt(11)) - sqrt(11))*1)**2.\nAnswer: -7491 + 222*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -312, 4\/15 in descending order.\nAnswer: 1, 4\/15, -3, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1875 divided by -47\nAnswer: 1875\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -125\/3. Let p = 5.5 - -0.5. Let v = 5 - p. Which is the nearest to -1\/4? (a) v (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 81, 86, 91, 96?\n\"Answer: 5*m + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187 - -91 - -154) + (-2 + 3 + -1 - -11).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14165 + 0?\nAnswer: -14165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -375 (c) -2\/7 (d) -3\/4 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 2 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooookkooo. Give prob of sequence okko.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18 and 151\/70590.\nAnswer: 211770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4*u - 3*n**4 - 2*n**3*u + 75*n**3 - 96*n**2*u - 29*u wrt n?\nAnswer: 168*n*u - 72*n - 12*u + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 108274765751 - 108274765751.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 717013933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 3*p**2 + 13*p + 3. Let b(y) = 2*y**3 + 7*y**2 + 25*y + 6. Let v(d) = 6*b(d) - 11*m(d). What is the remainder when v(-8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8647509\/70 - -123533. Let c = -267\/35 - f. Calculate the common denominator of c and -39\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -4. Let d(n) = -n + 1. Let w be d(k). Let j be w\/(-2) + 6\/(-20). Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017040.\nAnswer: 2, 5, 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -708697, -708180, -707661, -707140?\n\"Answer: z**2 + 514*z - 709212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 37*a**2 - a. Let m be 3\/(-15) - (-48)\/40. What is the tens digit of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 664*o**4 + 11473*o**3*v**3 + 139*v**3 + 75675*v**2 wrt o.\nAnswer: 2656*o**3 + 34419*o**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 23. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12067*d*f**3*o**2 + 10*d*f**2*o**3 - 8*d*f**2 - 10*f**3*o**3 + 32*f*o**2 + 12*o**3 wrt f?\nAnswer: -72402*d*o**2 - 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611 a factor of 107131500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111201210121211 (base 3) in base 8?\nAnswer: -33656651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 327117\/(-5052)*(-40)\/(-35)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4011587?\nAnswer: 59, 67993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148191134 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 57, 357, -3, -4, -1 in descending order.\nAnswer: 357, 57, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**11\/1164240 - d**9\/105840 + d**7\/17640 - d**5\/12 - 3*d**2. Let g(t) be the third derivative of y(t). Factor g(r).\nAnswer: 2*r*(r - 1)**2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*i - 405*i + 1 - 1.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128735202 to the power of 1\/2, to the nearest integer?\nAnswer: 11346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1586.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/3))**(1\/7))**(1\/7) assuming a is positive.\nAnswer: a**(4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/38, -16, -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -5\/2 (c) 460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211335\/1156 - 19\/289. Let s = -183 + m. Which is the fourth smallest value? (a) 0 (b) s (c) -1\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00843877 to 4 decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from oftrqfrt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 520136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -15.9380829?\nAnswer: 79.6904145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2*k - 4 + 4 + (21 + 209 + 41)*(-2*k**3 - 2*k**2 + 2*k**2) in the form q*k**2 + s*k + n*k**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.1 and 140.\nAnswer: 7574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 12*y**2. Let v(j) = -3*j. What is v(m(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a factor of 35582160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60399475 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: Sort -1, -7, 0, 10, 2 in ascending order.\nAnswer: -7, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -592.34 rounded to the nearest 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3327572\/171 not equal to -19458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 431340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8822*g**6 - 2*g**2 - 2*g - 9554?\nAnswer: 1058640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18.5 (b) -2\/13 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-36)\/627)*((-912)\/(-209))\/12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171)*1)*-4 - sqrt(171)) + sqrt(171) + (sqrt(171) - 1*sqrt(171))*4)\/((sqrt(108)\/sqrt(64))\/(sqrt(12)\/(sqrt(4)*-2))).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 431 = -98*z + 1480. Let t be -6*15*(2 - 3). What is the greatest common divisor of t and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2 + 7. Let r be (-60)\/4 - x*-3. Let f = r - -12. Solve -n - 1 + 2 = f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*i**2 - 5*c*i + 9*i**2 - i wrt i.\nAnswer: -2*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 590979 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 2*f)*(3 - 3 + 2*f) + (-4 + 15 - 9)*(-4*f**2 - 3*f + 3*f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a factor of 360459636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1333330?\nAnswer: 1333331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1.51 in ascending order.\nAnswer: -5, 1, 1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**3*t**2 - 91665*p**3 + 2427719*p**2*t**4 - 3*p + 3*t wrt t?\nAnswer: 10*p**3 + 29132628*p**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -1\/6*x**3 + 1\/2*x**2 - 1\/60*x**5 + 1\/12*x**4 + 0*x + 2. Let w(h) be the second derivative of b(h). Factor w(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-9 + (4 - 4) - (-1 - 2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/11)*r**(3\/2)\/r assuming r is positive.\nAnswer: r**(7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 l when three letters picked without replacement from {l: 1, s: 4, y: 4, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let t = -4.7 + n. Let c = 0.806 + -3.806. Sort 2\/11, c, t.\nAnswer: c, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1367\/10 - 133. Calculate the common denominator of 694\/20 - 2\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/7)*q*q*q**(-36) assuming q is positive.\nAnswer: q**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -141. Suppose 130 = v + 3*f - 2640, 0 = v + l*f - 2760. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -5*p**3\/3 - 299*p**2\/2 - 28*p. Suppose 27 = 3*g + 9. What is the lowest common multiple of g and a(-32)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 621986200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, -9, -3\/10, -13.\nAnswer: -13, -9, -2, -3\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 - 86*m**2\/13 + 980*m\/13 - 1632\/13.\nAnswer: 2*(m - 24)*(m - 17)*(m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -65008881.5?\nAnswer: 65008881.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/8 - 969*s\/8 - 6881\/4.\nAnswer: (s - 983)*(s + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*f + 87 - 101 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 - 3*s**5 - 3*s**5 + (-3*s**2 - s**3 + 3*s**2)*(-16*s**2 - s - 8*s + 6*s).\nAnswer: 15*s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-10) + 0 + 3\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23447534 or -23447535?\nAnswer: -23447534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 501987 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b**3 - 6 - 6*b - 5\/4*b**4 + 0*b**2. What is the derivative of y(s) wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/15)\/(2\/(-6)). Suppose -4*u + p*u - 8 = 0. Suppose -11 = -u*b + 13. What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -2367087\nAnswer: 2367087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 61. Solve 4*r - j = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c - 230. Suppose -2*n = -n - c. Suppose -5*j = -10*j + n. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*x + 2*a - 2, -4*x + 48 = -4*a. Let s = -6 + x. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13026832 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {o: 5, t: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 718046958?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681 + 2*j**2 - 681.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.138 - -57.138. Let d = -44 + k. Which is smaller: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 - -689. Suppose 14 = 871*a - m*a. Solve 3*h + a = -n + 2*n, 2*n = h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3102244351 - -4?\nAnswer: 3102244355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31505?\nAnswer: 5, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375 >= 9363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14580*q + 424. Let x(i) = -3645*i - 106. Let b(r) = -2*n(r) - 9*x(r). Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmomomommm. Give prob of picking 1 o and 1 m.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.056, 4, 2?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101001 + -1000001111011011?\nAnswer: -111110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*p + 6 = 0, -p - 9 + 1 = l. What are the prime factors of 6\/(-9) + (-1284)\/l?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 17*y - 3*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*o + 7, -4*m - 12 = 55*o - 59*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.82139 centimeters to millimeters.\nAnswer: 838.2139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1356092153 or 1356092152?\nAnswer: 1356092152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1886*u + 1198*u + 64672 for u.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14135 + -14134.9. Which is the closest to u? (a) -0.05 (b) -122 (c) -3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynpydbndndndbn. What is prob of sequence ynyd?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*n = 225*n + 4*h - 40, -2*n + 3*h + 35 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u**2 - 10*u + 9*u**2 + 5*u**2 as l + s*u + n*u**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:57 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/(-3) - -1). What is the smallest common multiple of -5*6\/(-45)*b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*o**5 - 60*o - 1 wrt o?\nAnswer: 4640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -7.\nAnswer: -7, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2)*w*(w\/(w*w\/(w*w**13)))\/w)**(-20) assuming w is positive.\nAnswer: w**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93195 or -93194?\nAnswer: -93195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16057 is divided by 189.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17*u - 2. Let d(k) = -34*k - 3. Determine -2*d(i) + 5*q(i).\nAnswer: -17*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-5))\/(3\/(-3)*460\/(-575)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + -2*sqrt(175))**2 + -3.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 365504 from -108.\nAnswer: -365612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 8}. Give prob of sequence uaaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/20*1)\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -712*k. Let f(w) = -w + 311284 - 311284. Give l(f(p)).\nAnswer: 712*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let p be k(0). Solve p = 2*m - 5*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 3936647*w - 23619885\/2.\nAnswer: (w - 3)*(w + 23619885)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from aukkwkkakoja.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -114. Let d = r + 28. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6924851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -289, -119, 693, 2477?\nAnswer: 5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 + 26*x**2 + 132*x - 386. Determine n(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2438902, -2438906, -2438910?\n\"Answer: -4*c - 2438898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfb when three letters picked without replacement from {f: 1, r: 5, g: 3, b: 1}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.78883127 to four decimal places.\nAnswer: 0.7888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178545 - 0.1.\nAnswer: -178545.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26.9856 and -11.\nAnswer: 15.9856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 5*x + 94. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - v)*(-235 - 165 + 121).\nAnswer: 279*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70775 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 68 = -3*z + 5*n, -53 = -4*z + n. Let b = 0.1 - 0.15. Let o = b + 0.05. Which is bigger: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37446 and 12640?\nAnswer: 2995680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39048 is divided by 9504?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 38 - 27 - 495*y + y - y - y + (y - 3*y + 4*y)*(-3 + 6 - 4) + 3*y - 6*y + y + 8*y + 3*y + 5*y.\nAnswer: -484*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r\/((r**(-7\/2)*r)\/r*r*r))**(-2\/71) assuming r is positive.\nAnswer: r**(7\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75.9 + -75.8996197. Round t to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 60*f + 3648 = 77*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6 and -2*(3 - (40\/(-52) - -3)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334242?\nAnswer: 2, 7, 13, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.1, -4, -2\/9, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -12861389183.\nAnswer: -12861389182.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10110001000000 (base 2) to base 8\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28\/3 + 37\/4. Let r = 73.7 - 74. What is the smallest value in -2\/3, r, 5, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) - (-5*((sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + 0))) + sqrt(208) + sqrt(208) + sqrt(208)))**2) + -5.\nAnswer: -130003 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043764 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 2 - 2*g**2 + 96.\nAnswer: -2*g**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y + 487*y - 99*y to h + d*y and give d.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1656 and 4899.\nAnswer: 117576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 21. Let k(z) = 3*z**2 + 2*z. Let m be k(-2). Let y be 3 + 0 - (m - x). Calculate the greatest common divisor of 8 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1173, 1439, 1801, 2259, 2813, 3463?\n\"Answer: 48*h**2 + 122*h + 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -4*t**3\/3 - t**2\/2 + 14*t. Let v be i(-1). Suppose -5 = -v*r + 114. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4092)\/(-55))\/(3\/(-10)). Round l to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g**2 - 219*g - 229*g - 216*g - 37*g**2 + 886*g - 222*g.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1196 + 2446. Is n at least 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15596.44 minutes in seconds?\nAnswer: 935786.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o**2 + 653*o + 2593. Give z(-4).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*w + 1696, 2324 = 5*w - 3*q + 203. Let v = 652 - w. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3 - 1 + 3. Let v(i) = -2369713*i + 2369712*i - 15 + 12 - 2*i**2. Calculate 5*d(w) - v(w).\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14706*j**3*t - 14*j**3 + 3278869*j*t wrt j?\nAnswer: 88236*j*t - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -16. Let n be (-2)\/((-91)\/(-14) + z). Let s(x) = x + 5. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 0*c + 2\/5*c**5 - 19\/6*c**6 + 0*c**4 + 2*c**2 + 51 + 11\/3*c**3. Find the third derivative of v(o) wrt o.\nAnswer: -1140*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k + 1. Let o = -6 + 8. Let y be b(o). Let j = 31 + y. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d + 96*d - 34*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g. Determine b(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646511269.\nAnswer: 646511269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -45. Let y = t - 25. Suppose 0 = 4*j - g - 15, g + y = 5*j + 9. Sort -2, 1, j in increasing order.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3055.483 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*x**2*z**3 - 5*x**2*z + x**2 - 13*x*z + 281874*z**4 - z + 4 wrt z?\nAnswer: -246*x**2*z + 3382488*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342960?\nAnswer: 2, 3, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 23493207.\nAnswer: 23493207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 1 + 0 - 3 + 5*t. Suppose -x = -j + 1, 0 = 4*x - 2*j - 6 + 2. Calculate the remainder when y(3) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5, t + 7*q - 9 = 12. Calculate the smallest common multiple of t and 170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.513 (b) -1 (c) 2\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-18)\/(-10))\/((-8)\/(-5)) and (-1905)\/126 - 5\/140*-8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 40 - 25 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -23 in ascending order.\nAnswer: -23, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*r - 7*r - 2*r)*(4 + 0 + 2).\nAnswer: -270*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*s + 9 + 579*s + 1327*s - 9 as x + o*s and give o.\nAnswer: 2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -13*h + 482. Calculate the smallest common multiple of 24 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 16 = 0, 509*k - 5*o = 507*k - 22 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t**2 + 2*t**2)*(1164*t + 48*t**2 - 1164*t)*(t - 4*t + t).\nAnswer: -288*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*l - 1\/6*l**2 + 1\/2 = 0 for l.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14 - (-1)\/(-7). Let l be (n - 6\/4)\/(105\/1540). Calculate the remainder when 43 is divided by (9 - 4)*l\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 16*q + 1 = -3*c, -21 = 5*q - 2*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 42*q + 111. What is m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2500686*n + 15093455.\nAnswer: 2500686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-168))\/(32045\/714 + -45).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 356.257 or -0.3?\nAnswer: 356.257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/1062 (b) -5 (c) -1\/3 (d) -10 (e) -2 (f) -349 (g) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**3 - 2*z**2. Let w(x) = 14*x + 152. Let j be w(-11). Suppose 8 = 2*k - 0. Let g(c) = c**3 - c**2. Calculate j*b(i) + k*g(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 2*c - c)*(1 + 0 - 3) + 121*c + 385*c - 113*c to the form q + b*c and give b.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1953990*t**3 + 32590*t**2 - 40?\nAnswer: 11723940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4878.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/5073 and -103\/91314.\nAnswer: 91314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3\/5*l**4 - 16\/5 + 26\/5*l**3 + 24\/5*l + 63\/5*l**2 = 0.\nAnswer: -4, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 203 = -40*r + 2. Let y = -33 + 48. Calculate the remainder when y is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 21 - (8 + (-155 - -148)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/15, -4, 26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.1? (a) 3 (b) -102 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((11172\/(-72))\/(-49))\/((-4)\/(-24))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:43 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 245 + 443. Let v be 4\/(y\/(-60) - -3). List the prime factors of 4\/10 + 558\/v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 295*f - 19182. Determine i(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18552, 18596, 18640, 18684?\nAnswer: 18728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - -8. Let a = r + -19. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7136844 and 136?\nAnswer: 242652696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 234 + 477 + 19*a - 201 - 21*a in the form q*a + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 448*t + 3651. Determine d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 163 = -2381. Let z = -16 + 8. Let u = 1 - z. Calculate the remainder when m is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 6. Let c be h(-6). Let f be 4 - (c - (1 + -2)). Let v(l) = -3*l**2 + 2. Let x(d) = 7*d**2 + d - 4. Let u(o) = 5*v(o) + 2*x(o). What is u(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2689722?\nAnswer: 2, 3, 7, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004928379 to seven decimal places.\nAnswer: -0.0000493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 0*u**4 - 8*u + u**4 + 3*u**3 + 2*u + 2 - u**2 in the form j*u + z*u**3 + t + h*u**2 + d*u**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -367 + 403. What is the hundreds digit of ((-40)\/(-6))\/(1\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124693, 244591, 364491, 484393?\n\"Answer: u**2 + 119895*u + 4797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -14, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b**14\/b)\/b)\/b)\/b*b*b)\/(b*b\/b**3)*b**(-1\/20)\/b*b**(-13) assuming b is positive.\nAnswer: b**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let g be i(2). List the prime factors of -4*((-9)\/g)\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*d + 3*d + d)*(2*d - 6*d + d) - 8 + 4*d**2 + 8 + (2 - 2 - 3*d)*(-5*d + 3*d - 3*d)*(-2 + 0 + 3) in the form i + l*d**2 + z*d and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11786450, -4, 4 in ascending order.\nAnswer: -4, 4, 11786450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -499569050 to the nearest 1000000.\nAnswer: -500000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**3 - 2*k - 1. Let g be w(-1). Suppose 3*v + g + 0 = 0. Let r be (-13 - 1)*1\/v. What is the greatest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34524310 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10003323012 (base 4) to base 9.\nAnswer: 2002370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2689 - -3950. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 45862*i + 11 + 45979*i.\nAnswer: 117*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -17 - -13 - -2 - 20) + -36?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 11 + 4. Is -2 - s - (-4 - 39) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrpnnonrnn. What is prob of picking 1 o, 1 p, and 1 r?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 295 = 4*p - f, -2*f + 286 = t*p - 0*f. Suppose 3*d - 2*i - 54 = -i, -i - p = -4*d. Solve 0 = 5*g + d - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -793280 or -793220?\nAnswer: -793280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96 and ((-3)\/(-6)*2140\/75)\/(-4) + 5.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010 (base 2) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.3 + 4.2. Let p = a + -8.91. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112101 (base 3) in base 15?\nAnswer: -1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11546068 + -124.347?\nAnswer: 11545943.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*v, 2*l - 2*l + 2*l = 6*l - 5*v - 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/165)\/((-22)\/110).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 + -181. What is the hundreds digit of 494 - (5 - 8) - (-1 - c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7118 rounded to two decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 11*t - 9. Let b be x(-6). Let i = -145\/21 + 22\/3. Let f be ((-3)\/((-27)\/(-6)))\/(-5). What is the biggest value in b, i, -18, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 2, d: 4}. What is prob of picking 1 x, 1 d, and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*o = -o - 5, -17 = -q + 5*o. Suppose -93 = -4*g - 3*b, 5*g + 2*b = -q*b + 116. Is g less than or equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112254\/7 - 16036. Let k = 4.6 - 5. Put k, -8, o, 1\/8 in ascending order.\nAnswer: -8, k, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -31. Let k = -8 - -13. Suppose f - 109 = -4*o, -k*f - 1 = -26. Calculate the remainder when o is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 2\/7 (c) 0.1 (d) 9\/7 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 - 29*i - 5. Calculate q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 18582073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 26*p - 21*p + 10*p + 31*p + 4*p.\nAnswer: -2*p - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/7))**(-27)\/((x*x*x\/x**(-6\/5))\/(x**(-8)*x))*(x**(2\/5))**(1\/32)\/((x*x**(1\/4))\/(x\/x**(4\/3))) assuming x is positive.\nAnswer: x**(-19843\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 2. What is the tens digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-440)*10*54\/21)\/(3\/(-21)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180671 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 211746097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1806 = -5*b + 34. Let a be ((-6015)\/(-10))\/(2\/b). Suppose -4*f - 900008 = -3*s, -3*f = 2*s - a - 489318. Round s to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85829532 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -66*y + 27. What is the hundreds digit of s(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 1908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x - 38557 = -4081. Do x and 205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*((v\/v**(1\/21))\/v*v)\/v))\/v*v*v))\/v)\/(v\/(v**(-1\/19)*v))*((v**47\/v)\/v)\/v*v*v\/v**(26\/7)*v assuming v is positive.\nAnswer: v**(16832\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/420 - 4*q**7\/525 - 7*q**6\/50 - 22*q**5\/75 + 2*q**4\/3 + 16*q**3\/5 - q**2 + 69. Let r(t) = 0. Calculate t.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -108, -113, -118, -123, -128, -133?\n\"Answer: -5*p - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95760 and 16396506.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 4:04 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -5 (c) -48304 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 38 = -4*s, -3*s = 3*k - 6*k + 12. Suppose 2*w + 13 = 3*u - k, -w = 3*u - 16. Suppose u*z = 3 + 3. Solve -2 + z = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {n: 3, m: 1, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y - 240 + 940. What is the greatest common divisor of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13629186*d**3 + 2*d**2 + 15462436*d?\nAnswer: 81775116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -79, -112, -173, -268, -403, -584?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-63) - (-6)\/(-2) and 1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 33*o - 44*o - 119 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 26. Let t = -5 + f. What is the remainder when 52 is divided by ((-27)\/6)\/(t\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jittinniun. Give prob of picking 2 i and 2 n.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 0 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20830? (a) 9 (b) -2 (c) -5 (d) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -31 - -7) + 20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:52 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563084?\nAnswer: 2, 19, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 55 + 7*u + 15 - 3*u + 73. Let b be v(-36). Do 1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -7 - -119 - (-1 - (1 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**5\/20 - 17*f**4\/24 + 5*f**3\/3 - 53*f**2\/2 + 70. Let n(w) be the second derivative of t(w). Let n(v) = 0. Calculate v.\nAnswer: 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**5\/20 + v**4\/6 - 27*v**3 + 105. Let u(m) be the third derivative of f(m). Give u(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1497\/23 at least -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7 - -3) + ((-2052)\/(-280) - 5) and 48\/77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19830.\nAnswer: 2, 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/2 - w**4\/2 - 25*w**3\/2 + 25*w**2\/2.\nAnswer: w**2*(w - 5)*(w - 1)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*a - 0*g - 1738, -5*a + 2157 = -4*g. Suppose 2*z - 91 = z + 2*r, -a = -5*z - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/2)\/1)\/((-3)\/((-51)\/17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 + 366 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-749)\/428)\/(((-1)\/1*1)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-90)\/(-40)) + 9. Solve -18 + 3 = k*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 12*t + 6. Let m be s(-5). Let w be (-14)\/(-8) + m\/2. What is the nearest to w in 3, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + k + 2)*(9322 + 52811 - 146362 + 42768) in the form l*k + f and give l.\nAnswer: -41461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(2 - 0 - 1). Let u be -1*(4 + (-13 - o)). Let x = u + 48. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/18 + 26*q**3\/9 - 16*q**2 - 3016*q. Let s(b) = 0. Calculate b.\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 1:29 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/11 and ((-18)\/(-15))\/(0 + (-6)\/(-220)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 10*a**3 - 18*a. Let m be y(1). Calculate the greatest common factor of m and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*v + 1278 = -1142, 3*a - 5*v = 1460. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*p**5 - 4*p**4 + 44471*p**2 + 327684692*p.\nAnswer: 800*p**3 - 48*p**2 + 88942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3110 or -59100\/19?\nAnswer: -3110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}