diff --git "a/data/dm_maths/full_data/10086_11255.jsonl" "b/data/dm_maths/full_data/10086_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10086_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 3*(-20)\/(-25)*(-35)\/(-21)*(-355)\/20\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 619*a**4 + 40578*a - 40578*a + 529*a**4 + 166 wrt a.\nAnswer: 4592*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - b - 1. Let f be i(-1). Let s = 20 + -76. Let g be s*f\/(4\/2). What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 35, 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = y - 900 - 1070, -y = 4*t - 1994. Is 1\/((-1976)\/y + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5057 is divided by 783.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and (-9)\/((-310320)\/(-345416)) + 3 - -7.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130 - -296. Let m = -166.00077 + t. What is m rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 14 = 4*d, 19 = 3*z - 4*d. Let v = -3.2 - -3.6. Which is the nearest to z? (a) v (b) -0.3 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -4 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10)*(-25)\/2. Suppose -5*f + 0 = l. Let v = 1 - 5. Put v, 0, f in decreasing order.\nAnswer: 0, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -734, -655, -574, -491?\n\"Answer: i**2 + 76*i - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 366188353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/11 + (-14872)\/(-242) + -27. What is the smallest value in 0, c, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-2)\/(-42)). Suppose f = 0, q + 3*f = 3*q - 28. Let i = q - d. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*v - 6, v + 4 = 9. Let a(f) = -f + 2. What is a(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2. Let i be m(0). Suppose 1 + 13 = 7*u. Solve u*z + i*z + 5*f - 20 = 0, -4*z = -4*f + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35366 + -1?\nAnswer: -35400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/504576 and 31\/186880?\nAnswer: 5045760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117344853 is divided by 39114951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 + 1100?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 + 1470*u**4 + 76288*u**3 - 2179128*u**2 + 4041376*u = 0 for u.\nAnswer: -68, 0, 2, 19, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 + -381 - (-5 + (2 - 27))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62190 divided by 90?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m - 16 + 6 - 8.\nAnswer: -27*m - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-118 - -105) + (-13 + 0 - 1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/6 (b) -0.4 (c) 3\/1210 (d) 0.4 (e) -4\/5 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8261, -8287, -8313, -8339, -8365, -8391?\nAnswer: -8417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/21)*v)\/v**7*(v*v*v**5)\/(v*v**(1\/7)*v*v) assuming v is positive.\nAnswer: v**(-26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/66 + (-62)\/(-22). Suppose 41 = d*j - 67. Let g be (-2 - -4)*(-45)\/(-1). Calculate the highest common divisor of g and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 5*d + 5. Let v be w(-4). Let m be v\/4*(0 - -20). Suppose 0 = m*b - 75 - 115. Calculate the remainder when b is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247574\/847 or 2\/7?\nAnswer: -247574\/847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8543, 8541, 8539, 8537, 8535?\n\"Answer: -2*h + 8545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*a - 160*a + 2*a**3 + 7*a**2)*(5*a - 4*a - 3*a + (8*a + 87 - 87)*(1 - 1 + 2)) - 5*a**4 - 8 + 8.\nAnswer: 23*a**4 + 98*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**6\/42 - 4*o**5\/35 + o**4\/28 + 2*o**3\/3 - 10*o**2\/7 + 8*o\/7 - 14. Let j(r) = 0. Calculate r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17780432.\nAnswer: 2, 197, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -20.2. Let i be (-162)\/(-63) - 3\/(-7). Which is the second smallest value? (a) -5 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80162276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 596 = -49*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -3.03. Let n(r) = -r - 28. Let i be n(5). Let g = -161\/5 - i. Which is the smallest value? (a) g (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(133)\/(sqrt(7)*2))**2 + sqrt(38)\/sqrt(2) + 3) - (4 + sqrt(209)\/(sqrt(11) + 2*sqrt(99))).\nAnswer: 20*sqrt(19)\/7 + 77\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 0*y**3 + y**3 + (5 - y**2 - 5)*(-6 + 6 - 7*y) + (7*y**2 - 2*y**2 - 4*y**2)*(-3*y - y + y) as v*y + r*y**2 + b*y**3 + z and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 572022959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 13812\/26273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -421, -4, 11, -3, 5, -5 in descending order.\nAnswer: 11, 5, -3, -4, -5, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1218329 to four decimal places.\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -21 - 53 - (-2 + (-10 - 1)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/138)\/((-1)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36\/11 + 529\/165. Let u = 13\/15 + h. What is the third biggest value in -0.1, u, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/2 + (-2)\/(-4). Suppose 3*z + 12 = c*z. What is the greatest common factor of z and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n**2 + 5*n. Let o(k) = 2 + 102*k**2 + 7*k - 117*k**2 - 2. Give 7*j(h) - 5*o(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 6\/(-4 - (-35)\/8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**(-1\/5)*(m**(-4\/5)*m)\/m**(-4\/7))**8 assuming m is positive.\nAnswer: m**(1112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-2)*3*2. Suppose 0 = 5*i + d - 22, -2*i - 4*d = 1 + 1. Suppose 322 = 19*g - i*g. Calculate the greatest common divisor of g and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -639, -365, -3.\nAnswer: -639, -365, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {f: 1, w: 2, t: 2, a: 2, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 44*c**2 - 59*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.5 (b) -83 (c) -3765\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 73, 4, 49, -3, -1 in ascending order.\nAnswer: -4, -3, -1, 4, 49, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348475280?\nAnswer: 2, 3, 5, 23, 191, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532212\/281 - -1894. Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.9242 rounded to one decimal place?\nAnswer: -35.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332286251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 111 = 62*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10*u - 3*u - 9*u)*(7 - 2 + 1).\nAnswer: -12*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 57 - 4*g as n + h*g and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.096541016 and 3.\nAnswer: 0.903458984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8*t. Let s(w) be the first derivative of t*w**2 + 1\/3*w**3 - 1 + w. What is the first derivative of s(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 13824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34240 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: Suppose 0 = -4*n + 146 - 34. Suppose d - 15 = -0*d. What is the remainder when n is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.2 + -0.2. Let l = 16.0011 - q. What is l rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fix when three letters picked without replacement from lxllxxlflilmf.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -331 - -334. Factor 5\/11*l**2 + 0 + 6\/11*l + 1\/11*l**v.\nAnswer: l*(l + 2)*(l + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160092666 and 534.\nAnswer: 160092666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7940000 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*z - 3*t, -4*z + 3*t - 9941 = -9929 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -61*l + 1. Let w be t(-17). Suppose -5058 = -15*d - w. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.342188 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 30. What is the tens digit of (4 + (-675)\/m)*(-4)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Solve -95*n + 93*n - k = 23, 0 = 2*n - 4*k - 2 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 546*y - 294. Let c(i) = 92*i - 49. Let x(d) = -35*c(d) + 6*z(d). Let s(f) = -f + 1. Determine -98*s(b) - 2*x(b).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a**2 + 220*a - 56 = 0.\nAnswer: -14, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*a = -241, -3*a - 178 + 190 = 0. Solve -g*u = 47*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfftfbfftffttfb. Give prob of picking 2 b and 2 f.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 27*b - 52. Does 20 divide d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:01 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 16 = -5*x. Suppose 4*h = x*f + 32, -7 = -3*h - f - 2. Solve -h*l = -l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20623502.9123 - -20625004. Let r = w + -1501. What is r rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 + 0 = 0. Let m be (-9)\/3*u\/2. Let j = 12747\/11 + -1159. What is the third biggest value in -2\/19, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b553 (base 13) to base 15.\nAnswer: 141a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 16928.\nAnswer: 16927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 10. Let i(l) = 11. Let h(v) = -7. Let j(s) = -3*h(s) - 2*i(s). What is 2*a(k) - 18*j(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.1, -2\/7, 24327, 1.2 in increasing order.\nAnswer: -2\/7, 0.1, 1.2, 13, 24327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**5\/60 - n**4\/24 - n**3 + 2. Let k(q) be the third derivative of i(q). What is the derivative of k(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*n**5 + n**4 + 112*n**3 + 800*n**2 - n + 7?\nAnswer: 780*n**2 + 24*n + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from dsdaddsdas?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2120)\/80*548\/225091.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(2*a + 3*a - 4*a - 9*a + 2*a - a + 2*a - 3*a + 2*a + 2*a - 2*a + a + (0 + 2 - 3)*(2 - a - 2)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 56. What is the remainder when (f\/(-21))\/(1\/12) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122220211 - 1?\nAnswer: 122220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let u = h - -17. Suppose -12*k + 356 + 1048 = 0. Calculate the remainder when k is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 57 = 3*p, -70*d - 1105 = 24*p - 9*p - 20*p for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 8 = 2*y. Let o(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - 5*f**2 - f + 1. What is the lowest common multiple of y and o(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 4. Let b be l(3). Suppose -y + 17 + b = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45.302 or -2\/89?\nAnswer: -45.302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19282858*h**6 - 955*h**2 + 13*h + 33 wrt h?\nAnswer: -2313942960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*w + 2*w + 9, 5*a + 3*w = 9. Suppose a = -3*i - 3*r + 44 + 28, i - 5*r = 30. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1435.72 + -1112. Let z = h - 332.7585. Let y = z + 9. Round y to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((9\/384)\/(((-21240)\/160)\/(-59))).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h**2 + h + 78 + 59 - 8*h**2 + 17*h**2 in the form u*h**2 + o*h + x and give x.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 37\/12*y**4 - 33\/2*y**2 + 1\/6*y**3 - 20*y + 0. Differentiate w(a) wrt a.\nAnswer: 74*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6159*r - 18889. Calculate s(3).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u - 5*u**2 + 32*u - 10*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5 = 5*j. Let v = -478 - -483. Let q be ((-6)\/(-15))\/(2\/10). Solve j = q*m + v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.805 - -11.805. Which is the nearest to -6? (a) -5 (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74764?\nAnswer: 2, 18691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153498133.\nAnswer: 257, 597269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 27*l**3 + 239374662*l**2 + 530557700741760*l + 117901699454976 = 0.\nAnswer: -4432864, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 minus -0.76?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48.4 + -48.365. Let c = q + 1.273. Round c to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 901 in 1\/4, -8.5, -12, 0.2, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59\/133 + 251\/266. Which is the second biggest value? (a) 0.6 (b) y (c) 10\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - i + 7, 4*z - 3*i + 1 = -0*i. Suppose 3*n - z = 4. Find g, given that g**3 - 2*g + g**n - 2*g**4 + g**2 + g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6267 and 6.\nAnswer: 12534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1352*y + 467. Let h(b) = -b. Let z(x) = -3*h(x) - o(x). What is the first derivative of z(i) wrt i?\nAnswer: 1355","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8) - 189\/56 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*a - 28*a - 1 + 93*a)*(2 - 6 + 1).\nAnswer: -489*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**3 + 5*p**2 - 3. Let w(k) = 7263171*k - 7263170*k + 0*k**2 - 1 + k**2. Calculate -3*w(r) + z(r).\nAnswer: -13*r**3 + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4 = 0, 0 = 4*h + 2*i + 53 - 29 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + c + 27 = 41, -3*k = 4*c - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -0.08, -6575, -4\/11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 643\/11225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -47\/1252455?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.051 - 1.191. Let j = 3.14 + f. Which is the closest to -2\/5? (a) j (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 15*n - 410. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 - 6*k - 10. Let w be j(7). Calculate the lowest common multiple of (w\/(-2))\/((-3)\/(-8)) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o + 10*o - 6*o. Let y(g) be the second derivative of -g**3\/2 - 8*g. Determine y(j(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than 1636.17345?\nAnswer: 1636.87345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 93374570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25507670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sveeoulssesvsllvvse. What is prob of picking 1 u and 1 l?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42215 + 9751600\/231. Let n be (-4)\/(-70)*10\/132. Let l = k - n. Is 1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15456 divided by -4.\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -424, -994, -1792, -2818, -4072?\nAnswer: -5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrorrrroroo. Give prob of sequence or.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*t + 1 + 5 = 0, -2*h = -4*t - 28. Let f(w) = -w**2 - 7*w. Let k be f(-7). Put h, k, -1 in descending order.\nAnswer: h, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2444.961 to the nearest 10.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1227 + 45*k + 1227)*(0 + 0 + 1)*(0*k + 0*k - 3*k**2).\nAnswer: -135*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -514 + 2809. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4866 = 7*p - 0*p, 5*p = 15. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 270*z + 1856. What is o(-7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29487 = -744*b + 4935 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = -1. What is the units digit of (o\/3)\/((104\/60)\/(-13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*c - 10, -3*c - 4 = -c. Suppose 0 = -2*z + 3*z - w*z. Solve z = h + 1 - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 8*r - 8. Let f = -3798 - -3790. Let i(n) = n**2 - 3*n - 3. Let t(d) = -d**2 + 9*d - 15. Let s be t(6). Calculate f*i(k) + s*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 738509 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158392?\nAnswer: 2, 13, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3)*m)**(1\/8))**16*((m**(-4))**14)**(-1\/2) assuming m is positive.\nAnswer: m**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 46. Let l be m(-24). Factor 0 - 1\/4*u**l + 1\/4*u.\nAnswer: -u*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2103*q**2 + 2*q + 720 wrt q.\nAnswer: -4206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144378*p**4 - 635632*p**2?\nAnswer: -3465072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16429 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 115. Let x = f - 26. Let v = x + 8. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974327000 a multiple of 863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let a(t) be the second derivative of 0*t**3 + 0 + 0*t**2 + 1\/12*t**j - t. Let k(s) = -s. Calculate k(a(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*z**2)*(-64*z + 96*z - 105*z) + (3*z**3 - 4*z**3 - z**3)*(3 + 0 - 1) in the form q*z**2 + l*z**3 + r*z + w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 4. Suppose 0 = -a - 7 + 1. Determine l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*v - 324*v = 3301200. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - -4 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73110572, -146221145, -219331718, -292442291, -365552864, -438663437?\n\"Answer: -73110573*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*s - 2858, -6*u + 9*u + 569 = s. Does 48 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 5*c + 4. Let k(i) = 2*i**2 - 5*i - 4. Let t(p) = -16*k(p) - 16*w(p). Let v(m) = 17*m + 2. Give v(t(n)).\nAnswer: 1088*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 take away 176.9?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -281 + -552?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7633)\/(((-1)\/(-31))\/(-1)). Suppose -2*g = 5*t - 308121, 0 = 5*t + 25*g - 27*g - 308109. Suppose a - l = -t. What is a rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4 + 4)*(-7*j - 2*j + 3*j)*(2*j + 0 + 0) + j**4 - 2*j**3 + 2*j**3 + (-j**3 + 0 + 0)*(0*j + 0*j - 2*j) + 0*j**4 - 3*j**4 + 2*j**4.\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -81, 2\/5, -4\/3, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3566540 is divided by 1804.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102310031121 (base 4) to base 16.\nAnswer: 4b4359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 3 - 3)*(24 - 17 + 21)*(-11*f - 2*f + 2*f) in the form q + n*f**3 + j*f**2 + o*f**4 + s*f and give o.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 9 + 3. Let x be (-6)\/(-4)*(-16)\/(-12). Does 11 divide -2*x*11\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 297 - 125. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*a**3*b**2 + 1504664*a*b**3 + 23*b**3 + 9755430*b wrt a.\nAnswer: -480*a**2*b**2 + 1504664*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - 4*v + 2*v)*(3 + 2*v - 3) + 6*v - 7*v**2 - 6*v)*(2*v - v - v**2 - 2*v).\nAnswer: 11*v**4 + 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5760969\/212 or -27175?\nAnswer: -5760969\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t)*(-8 - 3 + 0) + 7 - 7 + t + t - 2*t + 0*t - 2 + 2 - t + (5*t - 3*t + 0*t)*(1 + 0 - 2) + 0*t + 4*t - 3*t + 2*t + t - 4*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*a + 6953 = 4184 - 8402 - 7463 for a.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -129*f**5\/20 + 19*f**4\/2 - f**3\/3 + 3*f - 16. What is the third derivative of z(x) wrt x?\nAnswer: -774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 1023 - 184 + 277 = 0 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 9*m**2 + 10*m + 2. Let c be l(10). Let i(n) = 3*n**2 - 3*n**2 - n**c - 3*n + 2*n + 5 + n**3. What are the prime factors of i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 9 + 5. Let d be (50\/4)\/(-5)*2. Let u = d + j. Calculate the smallest common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 + (-16 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(153)*5)*5.\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6 - ((-5966730)\/(-6724))\/(-147)?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhhfrhfhhhhfff. Give prob of sequence fhh.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + b - j + 72, 3041*b - 3053*b - 424 = -7*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is bab (base 12) in base 4?\nAnswer: 122303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7107 divide 1133850314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + 27*i - 24. Let o(x) = -3*x**2 + 27*x - 24. Let r(m) = 5*n(m) - 6*o(m). Factor r(y).\nAnswer: 3*(y - 8)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6818 - 6895.9. What is j rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 2*m**2 - 2*m + 1. Suppose 0 = 26*z - 3*z - 46. What is i(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.28+12.12\nAnswer: 8.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (0 - (8 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i + 463*i - 36*i)*((-2 - 3 + 2)*(1 + 2 - 1) - 2 + 1 - 1).\nAnswer: -3784*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0848 - -420.9152. Let p = 420.9821 - g. Round p to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 36*d + 435. Is s(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 64*t - 25. Give r(34).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 10. Let r(h) = -h - 5. Let o be ((1450\/(-20))\/29)\/((-10)\/8). Suppose 3*l + o*v = -15, -4*v = -3*v. What is l*r(d) + 3*k(d)?\nAnswer: -d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 152, 256, 412, 638, 952, 1372, 1916?\nAnswer: 2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662148307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -79. Suppose 0*s + y*s = 96. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(76)*5)\/(sqrt(16)\/((sqrt(16)*-1)\/sqrt(4))).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2389.4006 and -30538?\nAnswer: 28148.5994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -479, 3\/4, 1, 0.01, -280, -0.28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -be6?\nAnswer: -be7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/u*u\/(u**1*u))\/(u*(u*u\/u**1*u*u)\/u*u*u)**50)**14 assuming u is positive.\nAnswer: u**(-17612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - 3*d**2 + 3*d - 2. Let f be p(2). What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-1 - (2 + (7 - 11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 15, 2\/11, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (253 - 289) + 14 + (9 - 11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i + 70. Determine w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1178.929926 - 1.022174. Let f = u - -1180. What is f rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/((b*(b**(-11)\/b)\/b)\/b*b*b*b))\/(b**18\/b*b**(-11\/5)) assuming b is positive.\nAnswer: b**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6890 = 8*m + 18*m. Which is the third smallest value? (a) 1\/5 (b) 2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u - 93. Let i(c) = -6*c - 46. Let b = -53 - -58. Let q(g) = b*i(g) - 3*j(g). Let o be q(-9). Let y(v) = v**2 + v - 7. Calculate y(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6025 - 6024.9999997343. What is l rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -388. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - -197. Suppose -2*l = l - 9. Suppose l*v + 2*x - p = 0, -3*v + 2*x + 2*x = -252. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -213, -745, -1765, -3435, -5917, -9373?\nAnswer: -13965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -0.65 in ascending order.\nAnswer: -5, -0.65, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 53158 = -50*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10051 - -160885\/16. Let t(m) be the first derivative of 3\/4*m**2 + 3\/4*m**3 + 0*m - 9\/5*m**5 - g*m**4 + 18. Find r such that t(r) = 0.\nAnswer: -2, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 - 4 - 5 + 4*t. Let x be s(2). Let c be (2 - x)\/(5 + -7). Solve 2*v = 8, -2*m + 3*v - v - 10 = c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 11*g - r = 8, 3*r = -9. Let m be 3*(80\/(-12))\/g. Solve 0 = -5*s + u + 15, -5*s - 7 = m*u + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28, 0, -4, 4 in increasing order.\nAnswer: -4, 0, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-5 - (14 - 19 - (-7 + 0))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 40585*b + 2435120. What is u(-60)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 45) + -15 - -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 18 = -2*b, 2*k - 2*b = -3*k + 58. Let l = -21 - -22. Sort k, 2, l.\nAnswer: l, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20434 - -340042?\nAnswer: 411031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqvaacavqcvcq. Give prob of sequence vcac.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - 4*m**2 + 24*m - 166. Does 12 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1069 + 2025. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4248*x**3 + 4*x**2 - x**2 - 3*x**2.\nAnswer: 4248*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 92*q + 404 = -36*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 + 19*j**2 - 53*j - 342. Give y(-5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24276*z - 89*z**2 - 24276*z)*(29*z - 58*z + 71*z) + 0 + 0 - 2*z**3.\nAnswer: -3740*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.54 (b) -5\/7 (c) -2411 (d) 1\/8 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15))\/(20\/25).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 119*y**2 - 1749*y + 208. Determine l(17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -3, -25.2, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 100 = -31*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.18244?\nAnswer: -0.72976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 8*f**4 + f**3 + 42*f**2 = 0. What is f?\nAnswer: -2, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45705.\nAnswer: 3, 5, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3700.145 tonnes?\nAnswer: 3700145000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + 303*w - 141 + 427 - 141.\nAnswer: 303*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27928?\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 6*z - 1\/3*z**3 - 1\/20*z**5 - 2*z**2 + 0 - 1\/2*z**4. Calculate the remainder when 30 is divided by a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67545 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 285280781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 404708.8s?\nAnswer: 404708800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 7}. What is prob of sequence gcgc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/1470)\/(4\/12)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62971440 + 62971345.000146. Let h = n + 95. What is h rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3168 = 4034*a - 3962*a for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4881600)\/(-459))\/113 + -94.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2099 - 1210. Let o = n + -889.00000361. What is o rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 plus -110310?\nAnswer: -110301.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 5. Suppose -5 = -15*o + 55. Let f(g) = 11*g - 4. Let a(t) = -21*t + 8. Let p(w) = 6*a(w) + 11*f(w). Calculate o*p(l) - 3*x(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.94 - -0.06. Put b, 1, -2 in descending order.\nAnswer: b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**2 + 45*w - 4.\nAnswer: 8*w + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (86 - 88)\/(1\/(-2)) + 11. Solve -6*w = -10*i + t*i - 10, -2 = -i + 5*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -t + 7, 6*t - 20 = -5*f + t. Let w be f - -4100 - (18 - 17). What is w rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-12)*o*o*o*o**(12\/11)\/o*o assuming o is positive.\nAnswer: o**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdd when three letters picked without replacement from vvvvgdvvgdvd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.37 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqc when three letters picked without replacement from qqscqcccs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k - 11. Let r be 16\/(-5)*(-35)\/(-14). What is the hundreds digit of j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 o when three letters picked without replacement from figifiofgi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qxqfqdqf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 98522519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 6:56 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17434\/(-1516) - (-6)\/12*28?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -134. Suppose -3*l = -w - 196. Let p = 131 - l. Calculate the highest common factor of 220 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 213?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 3. Let a = -93 + 91. Let i(d) = -16*d - 16. Give a*i(p) + 11*g(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15*v - 7. Let q be k(-1). Suppose 3*w + 0*w = 120. Calculate the greatest common factor of q and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + 11*q**2 - 4*q**2 - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-221))\/(288\/(-117)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -555, -562, -573, -588, -607, -630, -657?\n\"Answer: -2*m**2 - m - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 2. Let o(c) = 14*c + 71. Let n(l) = -2*j(l) - o(l). Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1331333?\nAnswer: -1331333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (15 - 6) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1646?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 927*m + 925*m + 7 = 0, 3*o - 3*m = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57640 and 660?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 207032 and 1884?\nAnswer: 205148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 246 - 31 = 60*q + 608 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189*c - 189*c + 73*c**4 - 11 + 77 wrt c?\nAnswer: 292*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 43 = -y - 3*v, 4*y = -v - 153. Let r = y - -40. Let a = -374\/3 + 126. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -777, -774, -771?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 32.8639.\nAnswer: 45.8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 = -z. Let w = -5\/52 - 2\/13. Which is the nearest to w? (a) z (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/20 - s**4\/6 - 2*s**3\/3 - 16*s**2. Let r(k) = 2*k**2 - 3*k - 3. Give 3*o(f) - 4*r(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 5. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/59888 and -107\/96.\nAnswer: 359328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) 0.1 (c) -0.2 (d) 3 (e) -3648 (f) 0.5 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 + 695 = 2*g + 3*n, -n = -3*g - 2*n - 53 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -4*w, -4*w = -y - 0 - 5. Solve y + 3 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 4.9\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 + 14*g - 17. Determine m(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwpsmmsmps. What is prob of picking 1 w, 1 j, and 1 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -23\/4. What is i in -1\/2 + q*i**2 - 1\/4*i = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7471 + 7487. Solve -14*h + 17*h = -3*c + 18, 3*c - i = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 460*o**3 + 2*o**2 + 347*o - 240840?\nAnswer: 1380*o**2 + 4*o + 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260*q**3 - 772*q**3 + 260*q**3 + 252*q**3 - 19*q**4 + 43*q - q**2 wrt q.\nAnswer: -228*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-6420)\/18 + 4. Is 53 a factor of t\/(-10) - (96\/(-40))\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-1)\/sqrt(7) + 4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16762 + 16765. Let g(x) be the first derivative of 0*x + 2\/3*x**d + 2 + x**2. Factor g(v).\nAnswer: 2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/((-7)\/63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2839795 and 74236.\nAnswer: 3146492860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**5\/5 + 55*z**4\/4 + 30*z - 80. What is the derivative of q(x) wrt x?\nAnswer: 4*x**3 + 165*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*b + 1232*b + 224*b + 1144*b as i + z*b and give z.\nAnswer: 2842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 29 = -37. Let c(m) = m**3 - 2*m**2 + 3*m - 4. Let w be c(t). Suppose -w*g = 5*g - 427. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 23. Let b be (7 + p + -7)\/((-4)\/(-6)). Solve 25 = 3*m + 2*n, b*n - 35 = -3*m - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 90*o + 192.\nAnswer: -3*(o - 2)*(o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10963935?\nAnswer: 3, 5, 243643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1751 and -1532?\nAnswer: 1532.1751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thth. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4488, -9010, -13556, -18138, -22768?\n\"Answer: -2*j**3 - 4508*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 + 11 = 0. What is the second derivative of -12*v**n + 6*v**3 + 23*v**3 - 11*v wrt v?\nAnswer: 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 5*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/167316 and 44\/5?\nAnswer: 836580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219304.\nAnswer: 2, 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*j + 4 = -3*c, 4*j = 4*c + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) -0.1 (c) 23.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 548226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-22)*n**(-26)*n assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7 - 3. Let s(r) = -5*r + 8*r - y - 4*r. Let a(l) = 3 + 2*l + 4 + 5*l. What is -a(n) - 5*s(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let o be (-8)\/(-6) + p\/(-6). Let a be (-375)\/2475 - (-2)\/6. What is the third biggest value in a, 0.5, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p = p + 16, -4*r - 32 = -5*p. Let y = r - -11. Solve -6*o + y*o = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 + 11*i - 8. Give y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -5. Let l = h + 14. What is the highest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 420 = -16*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((-2*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77))*-4 + -6*(sqrt(77) + -2*sqrt(77))))\/(sqrt(704)*4*4*-1).\nAnswer: 25*sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3373.452 micrometers?\nAnswer: 3373452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 12. Let f be v(0). Let t = 15 + f. Suppose t*b + 6 = 3*p, -2*b = 3*b + 10. Solve 0 = 5*h + 25, p = 4*o - 3*h - 18 - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(2\/12). Solve -2*i + 5*b - 16 = -6*i, i = 2*b - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(1 - 4 + 4)*(0*q**3 + q**3 - 4*q**3)*(-q - 4 + 4) to y*q**3 + p + d*q + h*q**2 + l*q**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 860*h + 2 + 1 + 3 - 861*h. What is b(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**3*w - 144*r**3 - 4*r**2*w**2 + 6*r**2*w + 2*r wrt w?\nAnswer: -r**3 - 8*r**2*w + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (29\/(-3))\/(6\/(-18)). Suppose -10 = 28*u - c*u. Let m = -3 + 8. Calculate the greatest common factor of u and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32273268 to the power of 1\/2, to the nearest integer?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/4 and -99\/31880?\nAnswer: 31880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 + 14*s + 14. Suppose -28 = 501*q - 497*q. Is 16 a factor of h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-9 - 400\/(-30)). Factor -280*y**3 - 2*y**t - 10*y**4 + 1214*y**2 - 5134*y**2 + 7*y**4.\nAnswer: -5*y**2*(y + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = -25*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70038 is divided by 1061?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 386 + -380. Let u = 0.6 + 7.4. Let g = u - v. Which is the biggest value? (a) g (b) 0 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -3120*b + 3123*b + 3*p, b = p + 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00626135 to four dps.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 35*h**2 - 808*h + 55. What is b(23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4285320 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 324 + -318. Find the third derivative of 58*p**3 + q*p - 309*p**4 - 179*p**3 + 60*p**3 - 9*p**2 + 61*p**3 wrt p.\nAnswer: -7416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -107. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 7*h - 8. Let t be 6\/10 - ((-312)\/30 - 0). Let m(i) = -29 + 3*i - t*i + 38 - 5*i**3. Let q = 23 + -30. Give q*j(p) - 6*m(p).\nAnswer: 2*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (122\/2)\/(99\/24 - 4).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 17*z**2 - 74*z + 214. Let n be u(-21). Suppose -4*m + 17 = -3. Suppose 0 = 3*h - m*h. Solve h*j = -n*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211 + 206. Which is the biggest value? (a) -1 (b) z (c) -5\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -15. Suppose r*m - 5*p - 5 = 13*m, -2*p = -3*m + 40. Solve -21 = m*z - 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + (5 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 24. Differentiate 23 - 27 - 3*v**4 - v**a with respect to v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19397 is divided by 72.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -51*w**4\/8 + 19*w**2 - 56*w. Let p(v) = 2*v**2. Calculate p(g(h)).\nAnswer: 46818*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-14) - 379740\/840)*(-8)\/5. Solve -720*x + 24 = -w*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14674136966627 - 14674136888536.39000043. Let x = n + -78090. Let j = -0.61 + x. What is j rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24163 - -60511?\nAnswer: 34326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.2. Let m = -10.159 - -10.459. Which is the third biggest value? (a) m (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*x**4 - 14*x**2 - 57.\nAnswer: -3816*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166 and 199200?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + (-3 + sqrt(343) - sqrt(343))*-1 - sqrt(343))**2 + -5.\nAnswer: 42*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/232 and -23\/10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + ((-13440)\/7)\/(-8). Let r = -229 + c. Solve -r*a + 12*a = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1610\/(-483)*12\/(-20)*(-438)\/12.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013231746 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 64187292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 2 + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 36*i**2 + 10*i - 9. Let h(x) = -18*x**2 - 5*x + 4. Let k(r) = -5*h(r) - 2*t(r). Let w be k(2). Let o = w + -50. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.22517 - -1.77703. Let n = 19 - c. Round n to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3896 + 3948. Solve -b*d = 2*o - 57*d + 25, 0 = 3*o + 3*d - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298540000 rounded to the nearest one million?\nAnswer: 299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2937 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 + 183. Suppose o*c + 5 = 54*c. Calculate the smallest common multiple of c and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d56de (base 16) to base 5\nAnswer: 2244143020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 7\/120*t**6 + 0*t**5 - 179\/6*t**3 + 0 + 77*t**2 - 1\/14*t**7 + 0*t**4 + 0*t. What is the derivative of g(s) wrt s?\nAnswer: -60*s**3 + 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330318608 to the power of 1\/2, to the nearest integer?\nAnswer: 18175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 26681\nAnswer: 1\/26681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 664955.3308048 + -664954. Let h = m + -1.2708. Let l = -0.06 + h. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7260962 is divided by 242.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:18 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-38)\/(-323)) - -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002987071 to six dps.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*n + 304*n = -3*r + 27, 744 = r + 5*n + 699 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from ubpfppufb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1\/(-4 + 3). Let o(t) = -27*t**3 + 3*t**3 - 2*t**2 + 0*t**2 - t. Does 9 divide o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0114 + 16805.96332.\nAnswer: 16805.95192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-16)\/i)\/i)\/(i*i*i**(-17\/4)))\/(i\/(i\/(i*i\/i**(2\/7)*i)))**(2\/11) assuming i is positive.\nAnswer: i**(-5003\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 1890 = 3*r. Let s be (-1)\/(2\/5)*336\/r. Let p be -1*(-3)\/(3\/2). Solve p*n + s = 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = n. Suppose 12 + 4 = n*v. Suppose -v*a + 2 = -58. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 w when three letters picked without replacement from wtwtwwwww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 16. Let a(g) = -33*g + 16. Let y be a(-5). Let r = -93 + y. Calculate the highest common factor of w and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 7 = -z + 17, 99596*c - 3*z = 99592*c + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8079 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.046, 0.5, 0.4?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19b3 - -6b5?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -79956 at most -79955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 2718*w**2 + 5427*w + 2712.\nAnswer: 3*(w + 1)**2*(w + 904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*(-7)\/(7\/9). Let z(f) = 46*f - 41. Is z(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o**5)\/(o**1)**(-1\/16))**(-12\/13) assuming o is positive.\nAnswer: o**(-1311\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923.097 nanometers in centimeters?\nAnswer: 0.0003923097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22780.\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 20. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 1\/2, -6\/141313, 0.2, -2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**2 + 3*t + 14. Let c be r(5). Let i = 256 + c. Let f(a) = -a**2 + 11*a - 15. Give f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*l - 170 = 0, -250 = -3*d - 8*l + 3*l. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 + 6*q + 9. Give p(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 608273.31 * -1.5\nAnswer: -912409.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/((-5)\/7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149386 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1482 + 39275\/2964. Let q be -4 + 4 - 1922\/(-4). Let h = -492 + q. Find the common denominator of h and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3750082.1 to the nearest ten thousand.\nAnswer: -3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30333264*v**3 + v**2 - 188857434 with respect to v.\nAnswer: -90999792*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/5*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*m - 30465030. Suppose 5455849 = 4*v - m. Let o = -1827909 - v. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2656, 2657, 2692, 2791, 2984, 3301, 3772?\nAnswer: 4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -930*d**5\/11 + 883452*d**4\/11 - 208898478*d**3\/11 - 433053516*d**2\/11 + 176409408*d\/11 + 399680064\/11 = 0.\nAnswer: -2, -1, 147\/155, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*v = 0, -4*p + 6*v = v. Suppose 13*a - 19*a + 96 = p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -75, 8.5, -410?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110691635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-10))\/(66\/220).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*a + 3, a - 2*a = -2*d + 3. Suppose 4*q - 31 - 33 = 0. What is the least common multiple of 792\/36*(0 + d - 0) and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose 2*i = -2, 2*u + 6 = 4*i + 4. Sort u, l, -2 in decreasing order.\nAnswer: l, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289481688.\nAnswer: 2, 11, 17, 563, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -5, -504 in descending order.\nAnswer: 0, -1, -5, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**2 - d + 0 - 2\/3*d**3 - 7\/4*d**4. Find the second derivative of g(r) wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73907783 to the nearest integer?\nAnswer: 8597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbhhbqiiibibfhbii. What is prob of picking 1 h, 1 i, and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 4 + 4)*(1 + 3 + 2) - 5*i**3 + 2*i**3 + 4*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 = -15. Suppose 4*b - q*b = -10. Let d(l) = -l**3 + 11*l**2 - 11*l + 14. Let m be d(10). Sort m, b, 3 in descending order.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -635676?\nAnswer: 63567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 247435*b**2\/3 + 2969215*b\/3 - 20.\nAnswer: 5*(b + 12)*(49487*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - -31. Let d = v + -116. Differentiate -11 + 30*f**2 - d + 9 - 9 wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, b: 5, d: 3}. Give prob of picking 2 b.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 2, f: 1}. What is prob of picking 1 i and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*q = g, -g - 4*q = 13. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -229, -517, -921?\n\"Answer: -58*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1554774 by -1554774.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2009*a - 4733*a = 87168 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.2 (c) 1\/11 (d) 0.06 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {l: 5, m: 3, y: 1, c: 3, r: 1, v: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-3)\/1) - -2. Suppose -2*d - 16 = 2*d, 3*d + 84 = x*k. Suppose -13*b = -15*b + k. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1100)\/(-125))\/((136\/(-102))\/((-7)\/((-126)\/(-4))))\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -11) + (5 - (7 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(20)*-2)*-6)\/(2*(sqrt(10) - sqrt(90))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 + 54*y**2 - 128*y + 14. Give d(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 9, y: 1, w: 5}. Give prob of sequence hzyz.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -37 + 58 + 0*(-2)\/4. Let w be ((-180)\/(-105))\/((-39)\/h + 2). Which is bigger: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-33)\/f**(-12\/5))\/(((((f\/f**(-2\/25)*f)\/f)\/f)\/f)\/(f*f**1*f)) assuming f is positive.\nAnswer: f**(-667\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7759 (base 11) to base 3.\nAnswer: -112000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3240*t**5 - 2056572*t**4 + 3580720*t**3 - 1902172*t**2 + 405168*t - 30384 = 0. Calculate t.\nAnswer: 2\/9, 3\/10, 1, 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2 + 0) - -2. Let a = 349 + -339. Solve -2*z - k*z = a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733223 divided by -25869?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 38*s**2 + 4*s - 40. Does 3 divide f(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(20) - (((sqrt(980) - (1 + sqrt(980))) + sqrt(980) - sqrt(980))**2 + sqrt(20))) + (sqrt(2000) + -4)**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 206750*k\/3 + 1653872\/3.\nAnswer: 2*(k - 103367)*(k - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z + 36*z - 69290 = 0. Let l = -1022 + z. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -52\/3 (b) -2\/7 (c) 4 (d) -18 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:08 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 1:57 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufeu when four letters picked without replacement from fuefffefufefffuu.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2 - (-4)\/8. Let u(v) = 2*v - 1. Determine u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2\/13, 1359, 2\/15, -333 in descending order.\nAnswer: 1359, 2\/13, 2\/15, -1\/7, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.183 - 3.183. Which is the biggest value? (a) -2 (b) u (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (72 + 0)\/((-6)\/(-4)). Let u = z + -42. Suppose -7*r + u*r = -102. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71001200 to the nearest 100000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70, 65, 56, 43?\n\"Answer: -2*l**2 + l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -89?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3064, 6353, 9886, 13657, 17660, 21889, 26338, 31001?\n\"Answer: -o**3 + 128*o**2 + 2912*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12514 divided by -5.\nAnswer: 12514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**3 - 39*m**3 + 15*m**3)*(-4*m**2 + 0*m**2 + 3*m**2 + (0*m + 2*m - 3*m)*(6*m - 4*m - 4*m)).\nAnswer: -31*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204643689 a multiple of 907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bah when three letters picked without replacement from bhaaabbhbbbhpadb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s - 96. What is the units digit of r(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 1113 (b) -5 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-2\/3)*i*i))**(-13\/4))**(1\/81))**21 assuming i is positive.\nAnswer: i**(91\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(744\/899))\/((-330)\/198)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**2 - 1. Give m(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -78428.879 + 11\nAnswer: -78417.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) - 1*sqrt(275) - sqrt(11)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + -13b9442?\nAnswer: -13b9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-10)*o*o**(2\/3)*o)**(3\/11))**(2\/25) assuming o is positive.\nAnswer: o**(-38\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 3*c - 2. Let h be (-6)\/(-30) - (-32)\/(-10). Calculate the least common multiple of 22 and u(h).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/16 + 1)*4. Put a, -3, -4 in descending order.\nAnswer: -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 + 4827308*z**3 - 8615093*z**2?\nAnswer: 60*z**2 + 28963848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 + 10000939*d**4 - 2*d**3 + 9236527*d**2 + 2 wrt d.\nAnswer: 120*d**2 + 240022536*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*k = 8, 0*b - 5 = 5*b + 5*k. Let j(y) = -2 + 3*y - b*y - 6 + 4. Determine j(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2. Let g = 5 + c. Let f be (1 + 2)\/g*-4. What is the nearest to 0.1 in 2, f, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i*i*i**(-2\/23)))\/i*i)\/(i\/(i\/((((i*i*i*i\/i**(-5))\/i)\/i)\/i*i))))\/(i*(i*i*i*(i\/((i\/((i\/(i**(-8\/9)*i))\/i))\/i))\/i)\/i*i*i**3) assuming i is positive.\nAnswer: i**(-2857\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565 - 1694\/3. Let x(t) be the first derivative of 0*t**5 - 1\/3*t**2 + 9 + 0*t**3 + 0*t + m*t**4 - 1\/9*t**6. Factor x(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49268185 or -49268188?\nAnswer: -49268185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (132 - 126)*(-3)\/(-66)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (720\/384)\/(((-54)\/(-68))\/3) and -33\/38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/(((n**(-2\/9)\/n)\/n)\/n))**(3\/41)\/(n**(-2\/7)*n*n**6\/n*n**(4\/7)\/n*(n\/(n\/(n\/n**(2\/15))*n))\/n) assuming n is positive.\nAnswer: n**(-14026\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12058 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23658*u**3 + 47360*u**3 - 23672*u**3.\nAnswer: 30*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 21 = 5*m, -3*m + a - 173 + 190 = 0. Suppose 5*g = -15 - 0, -i = -4*g - 30. Solve j - 3*b = -j - i, 4*j = m*b - 32 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505904, 2023580, 4553038, 8094278?\nAnswer: 12647300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 + 0*d**2 + (-d - 3*d + 3*d)*(-d + 0*d + 6*d) + (-4*d + 2*d + 0*d)*(11*d - 4*d + d).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - c, -679*c = -5*a - 678*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 1264 = 4*i. Let x = i + 189. Is (x\/(-3))\/(1\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/75, -3.52, 2, -1 in ascending order.\nAnswer: -3.52, -1, 2\/75, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 - -300. Suppose 1144 = o*s - 19741. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 911302 and 426496.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(240)*-1 + sqrt(240))\/sqrt(8))\/(-1*sqrt(250) - (sqrt(90)*1)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127394820 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21101 - 30104432?\nAnswer: -30033331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 0*d = 0. Suppose 4*g = -b + 215, d = -3*g + 5*b - 1 + 168. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*k - 8, 3*a - 9 - 3 = k. Let n(u) be the first derivative of u**4\/4 - 4*u**3\/3 - 3*u**2\/2 - 6*u - 2. Let w be n(5). Is a > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.10231 to 2 dps.\nAnswer: -52.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -427552 or -427657?\nAnswer: -427657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -89.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.999, 2, 1?\nAnswer: -0.999","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 + 0.06. Let i = -43\/6 + 20\/3. Which is the third smallest value? (a) i (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-420)\/(-98) - (-2)\/(-7). Suppose 10 = -25*d + 30*d. Solve 0 = t*i + 10 + d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -1 + 3. Suppose 0 = -2*f - 3*g + 1, f + f + 4*g = -2. Suppose -x + f = -4*x + 5*b, -5*b = -2*x - 5. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 65?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9704 - 9710. Put 3, -4, n, 4, 2\/17 in ascending order.\nAnswer: n, -4, 2\/17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**2 - 8*q**2 - 9*q**2 + 33*q**2 - 15*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let d be (-1)\/(-1)*(-12)\/(-12). Suppose t = p - d. Solve o + 10 = -5*x, -p*x + 0 = -2*o - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**3 - 6*p**2 + 2. What is c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w + 310. Let y be p(0). Suppose -u - 3*d + y = 0, u = 4*d + 219 + 112. Is u composite?\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 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - -3) + -14 + -39 + 0 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2839762?\nAnswer: 2, 83, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + 3*(sqrt(78)*-2 + sqrt(78)))*6)\/((sqrt(432)*2 - sqrt(432))\/sqrt(8) + sqrt(54)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 23. Suppose 2*y + l = 68, -v*y + 56 + 116 = 2*l. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w**3 - 1\/60*w**5 + 0*w + 2*w**2 + 1\/12*w**4 + 0. Let m(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 22 - l + 2*l.\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 3, 1167, -1\/3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20*-1*3\/(-30)*220\/88.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2495*p + 743558. Give k(-346).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3 + 4*l + 0 + 0. Let u be d(-3). Calculate the remainder when 37 is divided by (-2)\/u - (-38)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -627, -888, -1163?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7 (b) -0.4 (c) -23 (d) 5 (e) 3 (f) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 1551530*f**2\/3 + 245104294*f\/3 - 9681126574\/3.\nAnswer: 2*(f - 775607)*(f - 79)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 24, -4 in ascending order.\nAnswer: -4, -2, -0.2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-25))\/(409\/(253580\/(-744)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 + 3 - 0. Suppose 2*p - 4*p = 4*c - 12, 2*p = -m*c + 14. Is 18 a factor of ((-102)\/p - -3)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6211.\nAnswer: 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 260, 17, 3.\nAnswer: -9, 3, 17, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 + -167. Let f be 2\/3 + r\/6. What is the greatest common factor of f and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.67, -1\/5, 0.1, -0.1, -5 in decreasing order.\nAnswer: 0.1, -0.1, -1\/5, -1.67, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 7, -5, -37.\nAnswer: -39, -37, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1569 - -1571. Sort -2, 0, m, -3 in decreasing order.\nAnswer: m, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + -98. Let w = 222 + s. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4025, -8389, -13085, -18113, -23473, -29165, -35189?\nAnswer: -41545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-226) + 0)*(-1896)\/(-3792).\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*p + 4 - 4 - 2 + 35*p + 17817*p**3.\nAnswer: 17817*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8176185 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/11)*l*l\/(l*l\/l**(-45)) assuming l is positive.\nAnswer: l**(-497\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/43)\/3)\/((-218)\/436)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = u + 1. Which is the second smallest value? (a) -2 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 12. Let b = 141 - 130. Let q be p(b). Let l(o) = -1. Let y(k) = 5*k + 5. What is q*y(n) - 6*l(n)?\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37551.\nAnswer: 3, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -36. Suppose q - 303 = -3*p, 4*q - r = -2*p + 170. Suppose 0*j = 5*j - p. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78219 divided by 346?\nAnswer: -78219\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-26)\/65*5\/2. Solve 7 = -s*d + 4*q, -q - 5 = 4*d - 4*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -11 - 7 - (7 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1)))**(2\/65)*(j*j\/((j**(-1)*j)\/j))\/j**(-4\/3))**(1\/39) assuming j is positive.\nAnswer: j**(851\/7605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 15*k**4 + 2526*k**3 - 4092*k**2 - 2040*k = 0.\nAnswer: -170, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 3)*(-3 + h + 3) as g + f*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 6:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*((sqrt(80) - -1*sqrt(80)) + sqrt(80))*6)**2.\nAnswer: 933117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1331 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 514*j**3 - 203*j**3 - 262*j**3.\nAnswer: 49*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.2. Let x = -0.31 + 0.11. Let m = x - -0.2. Is n bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 + 1 + 1 - 8*m - 5*m - 3*m**2 + 10*m + 3*m**3. Let o(f) = -f**3 + f**2 + f - 1. Calculate b(v) + 3*o(v).\nAnswer: 4*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 2*q + 4. Let j(o) = o**3 - o**2 - 11*o + 2. Let w be j(4). Let p be w - 7 - (0 - -2). Determine h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029305 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.08877?\nAnswer: -0.035508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 53*378\/(-126)*(-2)\/(-6)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*u + 20, 4*u - 2*u = 10. Suppose w = 5*x - t - 427, -t = -4*t + 9. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5772 and 52?\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(170) - -3*(sqrt(170) - (sqrt(170)*-1 - sqrt(170))) - sqrt(170))\/(sqrt(1000)*-1).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 280866 + -280631.202. Let d = -235 + f. Let o = -0.002 - d. What is the nearest to o in -0.5, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 + -4 - (-23 - -24)) - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254569 (base 16) to base 5.\nAnswer: -1111130401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 3*n = 3*w + 12, 0 = 5*w + 3*n - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/7 + 3060*j**4\/7 + 12272*j**3\/7.\nAnswer: -2*j**3*(j - 1534)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 - -5?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 410d + 1?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let t(k) be the second derivative of k**5\/5 + k**4\/3 + 2*k**3\/3 + 2*k. Let j(z) = -z**3 - z**2 - z. What is i*j(d) + t(d)?\nAnswer: 2*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21)*-5)\/(-1*2*sqrt(3)) + 5 + -5.\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 6*d - 2*d - 2)*(-3*d**3 + 2*d**3 - d**3).\nAnswer: 6*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271*y + 68*y**4 - 387*y**4 + y**4 wrt y.\nAnswer: -3816*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16172 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from lllxlxllll.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -49. Let u be (2*-1 + 1)*0. Suppose u = -g*i - q - 1397 - 2900, 4309 = -5*i + 3*q. Round i to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 165.2. Let l = -0.1 - 0.3. Let k = -9 + 5. Which is the nearest to -0.3? (a) o (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210791988 is divided by 70263992?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o**2 + 3*o**2 + 0*o**2 + 2*o**2 as y + i*o**2 + n*o and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j - 3 + 4*j**2 + 3*j**2 + 0 + 3*j**2 + 217*j**3. Let f be h(-7). What is f rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1541955, -3083945, -4625935?\n\"Answer: -1541990*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380977*p - 742 = -380924*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1206*j**4 - 2*j**3*y + j**3 - 3775*j**2*y wrt j.\nAnswer: 28944*j - 12*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*h**2*m**3 - 6*h**2*m - 3422*h - 8570994*m**3 wrt h.\nAnswer: -110*h*m**3 - 12*h*m - 3422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 732606 - 732586. Let s(v) = 2*v - 3*v + v**2 - 4*v - 5. What is the remainder when s(-4) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19938363*g**3*j**2 - 4*g**3*j + 141*g*j**2 - 18*g - 4162 wrt g?\nAnswer: -119630178*g*j**2 - 24*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 5, f: 2, v: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 40*z**2 - 1082*z - 1120.\nAnswer: 2*(z - 16)*(z + 1)*(z + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10302 - 34?\nAnswer: -10341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 13291700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s. Let b be k(7). Let r = 344 + -368. Let m = r - b. Solve -i + m = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*t + 8, -3*c = 3*t + 9 + 3. Let m = c - -2. Suppose m*p = -3*w - 0*w - 3, p = -w. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 + -10?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkkmmkmmkmkm. Give prob of sequence mkmm.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.92109 to 2 decimal places.\nAnswer: -13.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from bbyyyyywwyywwwyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 5 (c) 0.04 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736\/10 + (18\/(-30))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 96\/16)*(3 + 8). Is l != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231601 (base 10) in base 4?\nAnswer: 320202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11195, 22380, 33547, 44690, 55803?\n\"Answer: -r**3 - 3*r**2 + 11201*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 180. Does 25 divide -12 + 8 + -1 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 + 21*f**2 - 6. Let i(b) = -b**3 - b**2 + 1. Determine 5*i(m) + x(m).\nAnswer: -2*m**3 + 16*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8*t + 37 - 8 = 0, -8*t + 58 = -3*m - 3*t for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**2. Let u(g) = -9*g**2 + 81*g. What is u(f(n))?\nAnswer: -1089*n**4 - 891*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -0.3, -2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k - k + 8*k. Let j = -11374 + 11369. Let p(u) = -6*u + 1. What is j*w(s) - 6*p(s)?\nAnswer: s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 8. Let j(v) = -v + 7. Let r(w) = w + 8. Let d be r(-2). Calculate d*n(k) - 7*j(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 2645?\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/15)\/((-2)\/24). Let v(t) = 7*t**2 - 2. Let a be v(p). Suppose -3*h + 91 + a = 0. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let d = -3016 + 3005. Give z(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 1, 15 in decreasing order.\nAnswer: 28, 15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/4 - 9*q**2. Determine o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 35*v**2 + 154*v + 168. Give z(7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 8220*u**4 + 41*u**3 + 115943*u**2 - u.\nAnswer: -120*u**2 - 197280*u + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 399 = -3*x - 413, 3*l + 17 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1205, -4679, -10411, -18395, -28625, -41095?\n\"Answer: o**3 - 1135*o**2 - 76*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46564, -46565, -46566, -46567?\n\"Answer: -f - 46563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -822 + 827. Solve -5*t + 8 = -w*i - 9*t, 2*t - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-24*28\/7392?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-496)\/748 + (-44 - 11250\/(-255)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = 4*o, 4*o + 10 = 2*v - 7*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -440339\/7 + 61299. Let q = 1604 + h. What is the common denominator of 11\/17 and q?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4896)\/13328*14\/9*-3.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrjhjjjhs. Give prob of picking 1 y and 2 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15887997 and 6869.\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkhhhhkhhk. Give prob of picking 4 h.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 13. Let k be (-2)\/w - 29\/3. Let n = k + 16. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -3*b + 2*m - 3*m, -5*b - 315 = -3*m. Let i = b + 71. What is the second derivative of -1 + 12*v**3 - 11*v - i*v + 1 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -537 + 1970. Let c = -876 + l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + s + 49 = 5*s, 5*y + s - 76 = 0. Suppose 3*q + 3 = 3*b, -8 = -4*q - 5*b + y. Suppose -d - 91 = -4*c + q*d, -d = 3*c - 52. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(65\/30)*(-7)\/(-63)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*y + 42035 = -25015 - 47081 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2. Let w(g) be the second derivative of g**4\/12 + g**3\/6 - g**2\/2 - 13*g + 6. Calculate -2*c(n) - 2*w(n).\nAnswer: -2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405, -407, -409, -411?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**9\/504 - s**6\/60 - 5*s**3\/3 - 10. Let m(b) be the third derivative of f(b). What is the third derivative of m(i) wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001011011111101010 (base 2) to base 7\nAnswer: 24140261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 199 = -5*d, -506 = -5*h - 3*d - 18. Calculate the remainder when h is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -15\/277, -2\/7, 0.4, 0.3?\nAnswer: -15\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7521048 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + (-234)\/45)*0. Solve -j = -4*o + 16, -4*o = -12 - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*l = 69796 - 62291 for l.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1500 and -149\/141900?\nAnswer: 709500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 + 26*n**2. Let j(w) = 5*w**3 - 5*w. What is -j(u) + 5*m(u)?\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 192 = 11*v - 42, -25*v - 110 = -12*v - 10*v - 8*v - 5*w for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -14\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 + -185. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 11*n + 29. Calculate l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1471.149 - 1476. Let s = -0.049 + p. Let f = s - -5. What is the closest to -0.1 in -0.5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Suppose 4*d = 6*d - 8. Suppose 5*u - 1 = d. Let r(k) = -2*k**2 - 12. Calculate u*r(x) + 12*o(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + -1 + (sqrt(3) - sqrt(96)\/sqrt(2)) + -4 + 4 + sqrt(300)*-2*-2.\nAnswer: 2 + 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:37 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 - 2*t + 155. Suppose -2*v + 1412*q + 8 = 1414*q, 4*v + 5*q - 20 = 0. Calculate k(v).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -5*p + d, -32 - 128 = 4*p - 4*d. Let i be (-10)\/p + 1\/(-4). What is i rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*l**3 + 0*l**2 + 68*l**3 + 0*l**2 + 128*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3357717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6596 - -26387\/4. Let v = -9 + 5. Sort -2\/11, s, v, -2 in ascending order.\nAnswer: v, -2, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072704833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -334 - -360. Let y = g - 27. Let m be 15*1\/(-7) + 2. Put m, y, -3, 5 in decreasing order.\nAnswer: 5, m, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60395328 divided by -1728\nAnswer: -34951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161 + -218 - (-25 + -3)) + 87.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 718\/319 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*k - 67*k + 142*k + 1529 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -25*p**2 + 3*p + 6. Let b(r) = 38*r**2 - 4*r - 9. Determine 5*b(i) + 8*v(i).\nAnswer: -10*i**2 + 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2 - 4*j + 7. Let m(s) = -s**3 - 17*s**2 + 11*s - 20. Determine -4*m(o) - 11*n(o).\nAnswer: 4*o**3 + 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -533634 - -533636. What is d in 4\/3*d**p + 36*d - 112\/3 = 0?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52975*-30.\nAnswer: -1589250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 432 and 4933?\nAnswer: 2131056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2728 and -28\/341.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 6.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 31, 81, 151, 241, 351?\n\"Answer: 10*s**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82e5e - 124?\nAnswer: 82d3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 + 12*q**2 - 8*q**2 + (-2*q + q + 0*q)*(-6*q - 6*q + 9*q - 5).\nAnswer: 14*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 14*j**2 - 18*j + 21. Calculate the lowest common multiple of y(-17) and 12.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 2883803.8.\nAnswer: -2883803.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 790\/120*3 + 6\/(-8). Solve 7*b + 9 = -j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*i + 1192984 - 87334. Is 78 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16 - 59*m + 231*m**2 + 47*m + 12*m. Let b = -9 + 4. Is d(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 35 = 5*k, 0*t - 20 = 5*t. Suppose 2*x - 4*x - k*s - 11 = 0, -3*s - 3 = 0. Let c be x\/12 + 124\/12. Which is greater: 11 or c?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/3615 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12721423815 - -0.2\nAnswer: 12721423815.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2 + 32\/(-18)). Let w be 38\/d + 2\/9. Let v(o) = -o**3 - 2*o**2 + 3*o + 1. Does 10 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -574 + 574.2. Which is the third smallest value? (a) w (b) -1 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**9\/3024 - q**5\/40 - 3*q**3 + 10. Let y(n) be the third derivative of w(n). Find the second derivative of y(m) wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 8. Let y be o(5). Solve 2*q - 8 = -y*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3.34.\nAnswer: 6.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, 236, -62531?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, -0.3, 17 in increasing order.\nAnswer: -3, -0.3, -1\/4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from mmmmmmlmmmmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/6 + 3*u**2 + u. Let l be g(-6). Let i be l - (-20)\/8*2. Solve 5*a + 10 = i*n, 4*a = -n - 6 - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/13 (b) -1 (c) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*l = -5*z + 3, 4*z + 4 = -4*l. Let d = 0.1 - 0.1. What is the closest to z in -3, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.3 + -22. Let t = w - -3.7. Let y = 0.627 - 0.427. Which is the fourth smallest value? (a) y (b) 0.1 (c) t (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 33*x + 27, 3*x = 10*y - 13*y - 2*x + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i - 73*i - 18 = 0. What are the prime factors of (-6)\/(-4)*(-584)\/i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/30229 and -36\/731?\nAnswer: 513893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264046 and 4628278.\nAnswer: 4982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4915.\nAnswer: 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 47 + 3 + -2 + 8 + (-12 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*x - 30 + 349*x + 30 as w*x + c and give w.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 522\/(-46) + 64 + (-636)\/12 + 0.\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3705)\/26676)\/((-525)\/(-63))?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/18)\/(4\/18). Solve -5*i - 2*m + 3 = 0, z*m - 26 = 5*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-8) + -2)*14\/70.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 1405887*l**3 + 1405890*l**3 - l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/23)\/((-2)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*n**3 - 2*d**3*n**2*w - 9*d**3 + 13*d**2*n**3*w wrt w?\nAnswer: -2*d**3*n**2 + 13*d**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-510))\/((-1122)\/(-4335)).\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*u**4 + 4*l*u**3 + 39*l*u**2 - 8*l*u + l - u + 80 wrt u?\nAnswer: 12*l*u**2 + 24*l*u + 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, o: 5, n: 1, d: 5, q: 1, y: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 15*u + 13*u)*(5*u - 5*u - 3*u**3).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65981 or 65990?\nAnswer: 65981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235)\/(-20) - (-19 + 32).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3 - 6 + 4*d**2 - 3*d**2 + 5*d. Let c be z(-6). Find the second derivative of 3*h**3 - 4*h**3 - h - h**c wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 8*o**2 + o + 11. Let u be k(-8). Solve -3*f - 4*i + 12 = -3, -3*f - 6 = -u*i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0.04, 0.4, 1\/6, 1\/16 in increasing order.\nAnswer: -29, 0.04, 1\/16, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 - -1277\/5. What is the smallest value in x, -1, -0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 b when three letters picked without replacement from {z: 1, b: 2, t: 1, w: 1, f: 2, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -5 (b) -4 (c) 27264 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29946 and 244125.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16078 - 64311\/4. Factor -3\/2 - k*n**2 + 7\/4*n.\nAnswer: -(n - 6)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49260079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3581295 and -9?\nAnswer: 9.3581295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 6\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171281?\nAnswer: 11, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 269788*x**2 - 809288*x - 2697760.\nAnswer: -4*(x - 67444)*(x - 5)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, o: 7}. Give prob of sequence cccc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296776 and 16?\nAnswer: 593552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(39*(-25)\/(-10))*(-28)\/560*-25.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:26 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - r**2 + 9*r + 8. Let w(p) = -5*p**3 + 8*p + 7. Let o(y) = -4*l(y) + 5*w(y). What is the remainder when 56 is divided by o(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30054 - -48853. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 4*t**3 + 6*t - 3*t as d + s*t**3 + i*t**2 + l*t and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1074ca5 - 3?\nAnswer: 1074ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-140) - 7\/21*3\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.2, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 3. Let b(s) = -1. Let j(f) = -8 - f**3 - 30*f + 63*f - f**2 - 32*f. Let y be j(-4). Suppose -9*t = -3*t + y. What is t*b(p) - 2*a(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -97 (c) -0.3 (d) 1 (e) 296 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Let b be (26\/(-6))\/((-9)\/27) + -5. Suppose -b*r + 17 - 57 = 0. Put 2\/5, m, -0.2, r in ascending order.\nAnswer: r, -0.2, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2070000716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 168.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -7 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)*x**(-2\/15))**(6\/11)*(x*x\/(x\/x**5)*x**(2\/21))\/(x*x**(-3)*x\/((x\/(x\/(x*x\/(x*x**(3\/5)))))\/x*x)*x) assuming x is positive.\nAnswer: x**(6788\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + 13*b**2 + 6*b + 4. Determine m(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133865333 is divided by 1012.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 + j - 7. Let h(k) = k**2 - k + 1. Let c(d) = 5*h(d) + p(d). Suppose 10 = y + 4. What is c(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 306. Let y(k) = -7*k - 493. Let r(d) = 8*i(d) - 5*y(d). What is r(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3 = 76 + 31. Solve -2*n = u - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16843963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*y - 22*y + 15*y.\nAnswer: 95*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -75*u. Let l(o) = -223*o. What is l(c(v))?\nAnswer: 16725*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-105)\/10)\/7 - 10\/4. What is the tens digit of (306\/r)\/(6\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88479 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65.256 - -0.244. Let r = w - -16.5. Let i = r + -76. What is the second biggest value in -0.2, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s**2 - 1)*(-2 + 0 + 1) + 3 - 3 + 7*s**2 - s**2 + 2*s**2 + s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - (-50)\/6. Suppose -u + 9 + i = -4*b, 0 = -3*u - 5*b + 17. Calculate the greatest common factor of u and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*z = -6*z + 72, 2*z - 344 = -4*v. Round v to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.3.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/6)\/(28\/4326).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 2*j**2 - j - 173. Let t(w) = w**2 + w + 1. Determine g(h) + t(h).\nAnswer: -2*h**3 - h**2 - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 5*c**2 - 2*c**2 - 5*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 11*m**2 - 6*m + 12. Let a be b(9). Suppose -a = -x - 128. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 + 3 + -11 + 19 + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26921 = -23*d + 93*d - 615901. What are the prime factors of d?\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326145566?\nAnswer: 2, 23, 7090121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f, 2*f + 930 = 4*d - 5602. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29 - 31 - (-299 - (2 + -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343268477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jejjjjjejjejjjjejjj.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 152036000 to the nearest 1000000.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2 + 57\/21). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-26 - (-55 + 17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.4 - 44. Let w = 7 - i. What is the smallest value in w, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40 and -9\/3991?\nAnswer: 3991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from iikkikiiii.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*l - 61 - 89, 0 = j - 2. What is the smallest common multiple of 40 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747984?\nAnswer: 2, 3, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24))\/((-54)\/(-216))*(-4)\/(-13)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401441 (base 7) to base 9.\nAnswer: 312340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, g: 2, m: 3}. What is prob of sequence mgwm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*b - 0*i + 2888, -2*b + 1426 = -3*i. Let x = -7137\/10 + b. Let q = -5372 - -80623\/15. Calculate the common denominator of q and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**5\/20 - t**4\/4 - 5*t**3\/6 + 2*t**2 + 8*t. Suppose -3 = a - 1, 0 = -4*q - 3*a - 54. Let l = -8 - q. Determine z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 16*c**2 - 183*c + 1013. Is z(54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332483 take away 0.043961391?\nAnswer: 332482.956038609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1706, 7605, 17640, 31811, 50118, 72561, 99140?\nAnswer: 129855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-12 - (3 - 19))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*i + 9 = 0, 18 - 6 = -4*i. Let v be -1 - -1 - d\/2. Which is the second smallest value? (a) 1\/7 (b) v (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/190 and 47\/70.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 2*k + 1. Let j = -8 + 10. Is 9 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h - q - 13, -5*h + 4*q + 79 = 0. Let d be 1\/(((-9)\/h)\/(-3)). Solve 2*a - 1 = -d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -80, 44 in increasing order.\nAnswer: -80, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 28*w + 89. Let k(q) = -51*q - 181. Calculate -3*k(j) - 5*s(j).\nAnswer: 13*j + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1602*i**2 - 8*i - 209 + 8*i - 122 wrt i.\nAnswer: 3204*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/17772 and -17\/72.\nAnswer: 106632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4 + 173*v**3\/3 + 3725*v + 3003. Differentiate a(z) wrt z.\nAnswer: -12*z**2 + 346*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0223 in 0.8, -1\/11, 50?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 4*i**3 - 5 + 17 + 24*i**2.\nAnswer: -4*i**2*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -16. Solve 5*c - 1 = -q*j - 9, 0 = -j - 5*c - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 32, 4, -12 in decreasing order.\nAnswer: 32, 5, 4, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -30?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34.8, 29, -4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86017561093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321605 + -1?\nAnswer: -321606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from {b: 2, p: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.97? (a) -0.1 (b) 7 (c) 1.4 (d) 0.4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87639 is divided by 19330?\nAnswer: 10319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -126304.68942756 plus 5?\nAnswer: -126299.68942756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 5) to base 9.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 2 + sqrt(176))**2.\nAnswer: -40*sqrt(11) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - 5. Let i be (b\/(-14))\/((-2)\/(-7)). Suppose -5 = r, -i*f + 9*f = 2*r - 30. Do f and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29607520.\nAnswer: 2, 5, 211, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239\/1362 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3910 + -3909.935756. What is y rounded to four dps?\nAnswer: 0.0642","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*z + 309*z + 901*z + 202*z.\nAnswer: 1250*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7161 is divided by 921?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 11*j + 2. Suppose a + 2*y + 29 = 4*a, 12 = 2*a - 5*y. Let c be g(a). Solve 0 = 4*v + s + 15 - 2, -4 = c*v - 2*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 48. Is 16 a factor of (-4)\/(-10) - (-1590)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**4 + 2*o**3 + 1064728*o**2 - 253253896*o - 2?\nAnswer: 108*o**2 + 12*o + 2129456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.102*-0.4\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 17*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35722 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76952 (base 10) in base 5?\nAnswer: 4430302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 79\/2*a**2 + 0 + 106*a - 151\/6*a**3. What is the derivative of b(y) wrt y?\nAnswer: -151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313193428006 + -0.0666?\nAnswer: 313193428005.9334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22021626 divided by -6\nAnswer: 3670271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 + -20667.\nAnswer: -20706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 77. Suppose -l + 4*v - 8 = 0, -w + 5 = 2*l + 2*v. Is 1\/7 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (-5)\/(-25)*38190\/114?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*m + 157 - 159, -3*m + 24 = -5*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16780?\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4 - 6 + 1 + 7*c. List the prime factors of o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((224\/12)\/(-8))\/((-4)\/(-12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (46\/7)\/((-2280)\/1064) and -16\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.773 tonnes to kilograms.\nAnswer: 223773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9d (base 16) in base 2?\nAnswer: -101110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*f = 764*f - 100 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q - 6. Let g(n) = -12*n + 5. Let r(w) = 7*g(w) + 6*s(w). Suppose -5*a = 10, -16 = 3*b - 4*a - 0*a. Is r(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9740206 times -3\nAnswer: -5.9220618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 6410?\nAnswer: -3\/1282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1100)\/880*(-4)\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekqi when four letters picked without replacement from pnqikkei.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -26.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - -42 - (2 - 20)) + 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 21978*s**2 - 54*s - 270. Let f(n) = 1998*n**2 - 5*n - 25. What is -54*f(h) + 5*g(h)?\nAnswer: 1998*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 154256386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/17 - 635106*v**3\/17 + 50420906554*v**2\/17 - 151258273950*v\/17 + 100838002500\/17 = 0. What is v?\nAnswer: 1, 2, 158775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 134, 202, 270, 338?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c**2 + 25*c**2 - 6*c**2)*(-18*c - 9 - 15 - 3 + 45) to the form m*c + l*c**2 + g*c**3 + b and give g.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/3 - 2*u**3\/3 + u**2 - 10*u. Let b be r(1). Solve 20 = -5*n - s, n + 4 = -b*s - 2*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.2533 + -52.2. Let n = -1.0533 + r. Put n, 1\/2, -2, 1 in descending order.\nAnswer: 1, 1\/2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 7*s + 176. Solve -3*t - 22 = 4*w, -t = -3*w - 3*t - s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2. Let n(j) = 13*j. Give n(s(c)).\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 7. Let l be j(-12). Let q = -28 - l. Solve 5*w - i = 20, -q*w + 5*i - 3*i = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 20. Let u be m(5). Let z = u - 5. Let r = z - -47. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1018972.5 months?\nAnswer: 8491.4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 2*m - m + (0 + 5 - 3)*(m - 5*m + 3*m) + 7*m - 3*m - 3*m + (-2*m - 5*m - 9*m)*(1 + 0 + 1) - 3*m + 0*m - 2*m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**6\/105 - 27*a**5\/10 - 567*a**4\/2 - 11907*a**3 + 532*a. Factor h(g).\nAnswer: -2*g*(g + 63)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12700 is divided by 2099?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 39 - (-15 - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52304476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -22368 divided by -6?\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -12)*7\/14. Let w = 10 + v. Let f be ((-8)\/(-10))\/(w\/10). Solve -20 = h - 5*g, -h - 3*g - f = -14 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 + 2. Suppose 4*v = 2*v. Give a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9240*f**2 + 9175*f - 65.\nAnswer: 5*(f + 1)*(1848*f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1825 divide 17605775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1469172357\/2 or -734586178?\nAnswer: -734586178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0\/y)**(-5\/21))**(-8\/5) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(608\/(-19))*(-3)\/(18\/(-32)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 0*p + p + 18 = 0, -5*p = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3*z + 187*u**3 + 57*u*z wrt z.\nAnswer: -u**3 + 57*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 2:38 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 5\/((-15)\/9). Let y be -58*(-1 - 0) + m. What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*b - 114*b - 5 = -17. Solve -23 = 5*o - 9*o - 3*u, 4*o + b = 2*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 63. Suppose 0*y + y - 3*r + 13 = 0, 4*r - 19 = 3*y. Let n be y\/(-2)*1 + 350\/28. Calculate the highest common divisor of z and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6619 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, 1 c, and 1 j when four letters picked without replacement from cjljhcllcrlccrlrclcl.\nAnswer: 98\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**3\/6 - s. Let z(a) be the first derivative of -8 + 17\/3*a**3 + 0*a**2 + 0*a. Calculate j(z(n)).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 2003202?\nAnswer: -2003323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/(18\/24)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 5)*(5*b**5 - 5 + 5).\nAnswer: -55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*v - 8, -1176*v - 10 = -5*w - 1181*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304610\/11 - -353619\/11. Let v = -4459 + z. Calculate the common denominator of v and 59\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3 + 1. Let w = 9 + -9.2. Let q = -3.8 + w. What is the second smallest value in i, 5, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161\/7 - 2100\/90)*(-2)\/(-28).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 9:10 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from {r: 3, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 53?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346.437 micrograms to nanograms.\nAnswer: 1346437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9392426 decades to months.\nAnswer: 112.709112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476695?\nAnswer: 5, 1295339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 4*v - 7*v**3 + 0*v**3 + 2*v**3 + 0*v**3 + (-4*v**2 + v**3 + 4*v**2)*(-4 - 3 + 3).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074188 to three dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmbvxsb. What is prob of sequence xv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 - 3*p. Suppose -4*z - 3 = 4*h - z, -5*h + 5*z + 5 = 0. Let c = -8 + 6. Let o = c + h. Determine b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 17*h**2 + 31*h - 11. Suppose -16 - 22 = -2*n. What is the remainder when n is divided by z(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152\/(-57))\/((-72)\/(-2052)*76)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -12. Let n = 12 + t. Put n, 0.07, -1 in descending order.\nAnswer: n, 0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from obbrv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476865690 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 10*a - 104. Let h be 0 - 24\/a - 1651\/7. Is -235 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(7)*-2) + 4 + -2*sqrt(3))**2.\nAnswer: -20*sqrt(3) + 139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13.0052. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:34 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2859441*d**2 - 2037844*d**2 - 2121037*d**2.\nAnswer: -7018322*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*f = -295*f - 298*f - 189 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/5*(10\/(-4))\/5. Factor 0 + c*i**2 + 0*i - 1\/2*i**3.\nAnswer: -i**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1146 by 1146.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 2, 1\/3, -2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, p: 5}. What is prob of picking 2 g?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 577 = -2*b + 1680, 555 = b + 2*a. List the prime factors of b.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 1122\/7. Let a = 366 + -367.57. Let h = 1.17 + a. What is the nearest to q in h, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207 - -185 - (-14 - -6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.82966 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (3 + 1) - -4)*-13. Let h(k) = -10*k - 54. What is the tens digit of h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 1, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 661*g**2 + 22*g + 85. Is 75 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**5 - y**5 + 4*y**5 + (y + 7*y - y)*(4 - 1 - 2)*(-y**4 + 2*y**4 + y**4).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73703 in 2\/9, -95, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 66*g + 4796. What is r(-73)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*i + 3 = -89*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -8. What is the third derivative of -2*l**5 - 2*l**2 - l**m + 2*l**2 + 7*l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:00 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2*2)**2 - (sqrt(10)\/(sqrt(2)*2))**2.\nAnswer: 315\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1994547779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/5, 35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 786, 1590, 2394, 3198, 4002, 4806?\nAnswer: 5610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*a**4 - 257*a**3 - 2*a**2 + 105012*a - 1.\nAnswer: -600*a**2 - 1542*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 1.8. Let m = 12 + -21. Let h be 4\/(3 - m - 2). Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 3*j + 6*j)*(-4 + 5 - 3)*(62*j + 90*j - 11*j) to the form g*j**2 + d + s*j and give g.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14 + 275*y + 107*y**2 - 9 + 2 - 7 wrt y?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1229297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 74141 = 4*b, -7*b + 3*b + 2*c = -74106. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-6*m + 2*m + 2*m) + 4*m + 2*m - 3*m + (-1 - 3 - 1)*(0 + 0 - 2*m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439\/834 + 39\/278. What is the second smallest value in -3, 2\/13, b, 113?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-2 + 31 + -15)) + (-5 - (10 + -75)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -26825.\nAnswer: -8\/26825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 68669112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -2, 1\/10, -2\/7379?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 3*l**2 - 7. Let x be i(3). Let n be (6\/8)\/((-5)\/x). Sort 1, n, 0.\nAnswer: n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.606 to the nearest integer.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 9) to base 7.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -0*y + 6*y. Let t be y\/84*(-4)\/3. What is the fourth smallest value in t, 1\/2, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-3 + 4)*-5 + 4 - 4*(sqrt(200) - (sqrt(200) + -2))*6.\nAnswer: -64 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 0*t - 18*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 0*x = -2*x + 3*u - 8. Let v be x\/8 - 3129\/2. List the prime factors of 2\/9 - v\/45.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 5. Let z be 3 + 0 - (-7 - -2 - -2). Let f(v) = v + 1. Determine z*f(c) + y(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -508 + 509. Let s(i) = i**3 + i**2 + 1. Let v(q) = 3*q**3 + 6*q**2 - 2. Give z*v(f) - 4*s(f).\nAnswer: -f**3 + 2*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6648.1 + -6648. Put 0.07, 121, n in increasing order.\nAnswer: 0.07, n, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y + 89 - 1025 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -6, -4 in decreasing order.\nAnswer: 9, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7456 is divided by 65.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -5) + 37 + -6. Suppose c*i = -12*i + 38998. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -213\/1985201 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/13800 and 39\/25300.\nAnswer: 151800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m. Let y be 16\/14 + (3 - (-135)\/(-63)). Let a(p) be the second derivative of 0*p**y - 3*p - 1\/3*p**3 + 0. Calculate v(a(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-2\/51) assuming d is positive.\nAnswer: d**(-4\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -466, -1004, -1746, -2692?\n\"Answer: -102*o**2 - 28*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/19 - 32964*l**3\/19 + 136124514*l**2\/19 - 2442236832*l\/19 + 10978063488\/19.\nAnswer: 2*(l - 8232)**2*(l - 9)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(1\/3). Let a(x) = -8*x**2 + 1. Let k be a(r). Let f = -3 - k. Calculate the least common multiple of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let x(n) = 1092*n**2. Determine x(k(d)).\nAnswer: 4368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21094883 and 334598.\nAnswer: 464087426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/8 + (5 - (-63)\/(-12)). Suppose -r = -5*y - 65 - 11, 5*r + b*y - 230 = 0. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94, 119, 160, 217, 290?\n\"Answer: 8*i**2 + i + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 2. Let m be p(-2). Let s be -3 - -2 - 1158\/(-2475). Let i = s + -1\/75. Does m = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6968 + 0.0572. What is t rounded to two dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 3. Suppose 0 = 3*b + 2*b - 4*s + 17, -4*b + 3*s = 13. Let y be (4*(-1)\/(-2))\/b. What is the tens digit of t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386 - -0.4.\nAnswer: -385.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*p + 54*p + p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 942334.\nAnswer: 15\/942334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 88 = -6*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*w + 488*w - 651*w - 380*w.\nAnswer: -1140*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 = -w, c + 4*c = 3*w - 59. Let a = w - 9. Suppose 0 = a*g - 18 - 26. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3\/4*h**3 + 0 - 3\/4*h**5 + 0*h + 0*h**2 - 3\/2*h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 7*x + 2. Let f be (-3)\/(6\/(-4)) + 5. Let r be l(f). Let o be 24\/120 - 372\/(-15). Solve 7*k - o = r*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-24))\/((-9)\/(-645)). Let v = x + -27. Put v, -1\/4, -0.9 in descending order.\nAnswer: v, -1\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/194?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1002?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*b - 193 + 193 in the form u*b + r and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l - 2. Let m(s) = -5*s**2 + 3*s + 6. Suppose -40*v + 46 = -34. Let k(q) = v*m(q) + 6*u(q). Let d(n) = 51*n. Give k(d(t)).\nAnswer: -10404*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - l)*(-21 - 532154*l**2 - 37 + 532155*l**2 - 3*l).\nAnswer: -l**3 + 3*l**2 + 58*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 500939297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3481101 (base 12) to base 11\nAnswer: -57930a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545124 by -181708.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 + 34859190\/210 + 8\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4086 divided by -6?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let q be 36 + 2\/2 - t. Let d = q + -26. Solve 3 = 5*m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92950.01l?\nAnswer: 92950010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2592) - sqrt(2592)*-2) + sqrt(2592) - -1*sqrt(1800))\/(sqrt(45)\/(sqrt(405) - ((sqrt(405) - -1*sqrt(405)) + sqrt(405) + sqrt(405)))).\nAnswer: 1566*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 24. Let h(x) = -x + 23. Let g = -3 + 0. Let q(j) = g*v(j) - 2*h(j). Calculate the remainder when q(0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44195610*l**2*p**3 - 23*l**2*p**2 + 5*l**2*p - 26*l*p**2 + 21*l*p - 7*l wrt p?\nAnswer: 265173660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2717.92001 + -2718. What is w rounded to three dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 2 + -45 - -44\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**6 - 1\/36*b**4 + 0*b + 15*b**2 - 1\/60*b**5 + 0 + 0*b**3 + 1\/630*b**7. Let j(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2280900 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(-6*sqrt(280)*-1 + sqrt(280)))\/((sqrt(50) + sqrt(250)\/sqrt(5) + sqrt(50))\/sqrt(5) - (sqrt(100)*1)\/sqrt(10)).\nAnswer: 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27750 is divided by 738?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 4:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 21 = -167. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16264543 to 3 dps.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-176)\/400) + (1\/2)\/(52\/(-208)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(180)*1)\/((2*sqrt(110))\/sqrt(11)))\/((sqrt(108)*-1*1 - sqrt(108) - sqrt(108))\/((1*sqrt(84))\/sqrt(7))))**2.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - -18 - (-3 - (-1 + 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -106. Sort g, -2, 4, 0 in ascending order.\nAnswer: g, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 63395 and 63395 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -40*i - 8. Determine a(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -6 - (-9 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158 - 158 + 36*c)*(-5 + 5 - c**3).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 21*y - 10056. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145295 divided by 5\nAnswer: -29059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 236459 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 281.41 + -740.9. Round h to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*b = 54, b = -m - 3*b + 18. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 - 4*p + 2. Let j be f(2). Let g be j\/5 - (-166)\/10. Suppose 3*t = 4*q - g, -5*t - 3*q + 0 = 9. Sort -5, t, -1 in descending order.\nAnswer: -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/30 - x**2. Let l(b) = 4*b**2 - 56*b - 70. Let o be l(20). Let g(j) = 0*j + 0*j + o*j**2 - 438*j**2. Give g(t(h)).\nAnswer: -112*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 15. Solve 5*f + 4*z + 6 = 0, 5*f - 5*z + i = -5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*c - 11, 0 = 4*c + 2*t - 4*t. Let g(k) = 10*k**3 + k - 1. What is the remainder when 37 is divided by g(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380115 to the power of 1\/2, to the nearest integer?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -178853, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2 - 4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-12))\/(50\/600)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:39 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - a**2 + 0*a**2 + (a - 2*a + 3*a)*(a + 4 - 4) + 0*a**2 + 2*a**2 - a**2 + (21*a + 74*a - 3*a)*(5 - 5 + 2*a) - 2*a**2 - a + a + a**2 + 6 - 6.\nAnswer: 188*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8ac81 (base 14) to base 7\nAnswer: 2603121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -17*k - 5*q + 13, 2*k = -q + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15598276 less than -14391?\nAnswer: 15583885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/7))**(-15\/4))**(-9\/10))**(-2\/117) assuming v is positive.\nAnswer: v**(3\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4 - 4*w - 2*w + 4*w + 7 - w**2. Calculate z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 + (239 - 621) + -47 + 1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 + 426560*b**2 - 1706160*b = 0. Calculate b.\nAnswer: 0, 4, 85308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748 (base 12) in base 6?\nAnswer: 20532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291538 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:29 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47974681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*2.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axnjx. What is prob of sequence jnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*s**6 - 6*s**5 + 3*s**2 - 21*s?\nAnswer: -2640*s**3 - 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/13792?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:08 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4569.\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10143 - 123527\nAnswer: -133670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 35. Let k(w) = 9*w - 5. Let r(b) = -3*b + 2. Let o(p) = m*r(p) + 6*k(p). Let q(n) = -2*n**2. What is o(q(x))?\nAnswer: -6*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196 + -199 + 974 + (1 + 1 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**4\/4 + 9*l**2\/2 + 6*l + 6. Factor u(d).\nAnswer: -3*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*o + 634 - 2619 = 1711 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -42*v + 11\/12*v**4 + 2 - 1\/20*v**5 + 14*v**2 - 16\/3*v**3. Find r, given that p(r) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:10 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/7 - 27*y + 192\/7 = 0 for y.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2357431, 25 in ascending order.\nAnswer: -2357431, 0.5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24 - 35?\nAnswer: -36.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*y**4 + 45511690*y**3 - 58846897?\nAnswer: -20*y**3 + 136535070*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 36*k**3 - 81*k**2 + 3*k. Let s(m) = 2*m**3 - m**2 - m. Let y(l) = q(l) - 6*s(l). Determine u so that y(u) = 0.\nAnswer: 0, 1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45104417?\nAnswer: 17, 337, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/35)\/(599 - 605)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*c*y**3*z + 2*c*y*z + 4*c*z - 3*c + 5813*y**3*z + 578*y*z - 2 wrt y.\nAnswer: -408*c*y*z + 34878*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166760792.\nAnswer: 2, 11, 1895009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 351, 4, -388 in decreasing order.\nAnswer: 351, 4, -6, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266579170.\nAnswer: 2, 5, 11, 13, 186419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907 a factor of 1753407718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 14*w**2 + 14*w - 22. Let m be g(-15). Is (m\/(-14))\/((-2)\/(-4916)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + 1 + (-13 - -20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + sqrt(99) - (-4 + sqrt(176))) + (sqrt(396) + (sqrt(396) + 0 - sqrt(396)) - (sqrt(11) + 2 + sqrt(891))))**2.\nAnswer: -30*sqrt(11) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 163699 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*i**2 + 142*i**3 - 908*i**2 + 135*i**3 - 280*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.6601mm in kilometers?\nAnswer: 0.0002066601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2093*f**3*g**2 - g**2 - 68 wrt f.\nAnswer: -6279*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 65104?\nAnswer: -65103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57941\/164 bigger than 354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13508969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(99) - sqrt(99))\/(sqrt(225)*-1 + sqrt(9) + sqrt(9)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 688 - -117. Let n = -806 + x. Which is the biggest value? (a) 2 (b) -6 (c) 0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -953580, -3814323, -8582228, -15257295, -23839524, -34328915, -46725468?\n\"Answer: -953581*t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, i: 6, b: 4}. Give prob of picking 2 w.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**9\/15120 - i**7\/840 + i**4\/4 - 3*i. Let q(a) be the third derivative of o(a). Find the third derivative of q(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 + 3.7. Let k = -0.3 - p. Which is the closest to k? (a) -0.02 (b) 3\/8 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 6, a: 1, h: 2, b: 1}. Give prob of picking 1 h and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11025 and 2058?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 49981477.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -31179705?\nAnswer: -31179698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**25))**16)**(15\/4))**40)**(-17) assuming u is positive.\nAnswer: u**1020000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4943 - 5?\nAnswer: 493d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9544, -8717, -7890, -7063, -6236, -5409?\n\"Answer: 827*y - 10371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -320 + 2563\/8. Which is the nearest to 2\/21? (a) 0 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 4*f + 2*f + 7*f - 12. Determine i(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -0.362, 1\/19, -3?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42994025497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50862723?\nAnswer: 3, 29, 31, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lullllulunuvullu. What is prob of sequence ll?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/8, 2, 4.\nAnswer: 13\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2679 >= -7609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 15) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - g**2 - 2*g**4 + 4*g**4 + 0*g - g + 0 as j*g + m*g**4 + s*g**2 + f*g**3 + q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31973 * -0.5.\nAnswer: -15986.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1141*l - 900*l + 851*l - 2)*(0*l**2 - l**2 - l**2) to w*l**3 + k*l**2 + p + h*l and give w.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 67*x + 4689. Calculate i(-69).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 47. Suppose 5*u = 4*v - 205, 3*u = -4*v - 113 + 342. Let s = f + v. What is the remainder when 25 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273.4 - 273. Let n = -0.7 - -0.2. What is the second smallest value in 2\/7, o, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w + 98. Suppose -3*f - 10 = r - 4*f, -5*r - 66 = 3*f. Let t be o(r). Solve -t*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12023 (base 11) to base 16.\nAnswer: -43b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.54 - 0.04. Let n(a) = -a + 5 + 0*a + 4. Let d be n(8). What is the closest to d in o, 3, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 30939 = 6*g. Is 1\/((-1)\/g)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.1, 7, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1362 + -703. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -n - 578, d + 112 = -7*n + 5*n. Let m be d\/(-30) + (-16)\/(-120). Suppose -m*g + 72 = 4*g. Let i(q) = q**2 - 9*q + 9. Give i(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*t**3 + 156*t**3 + 52*t**3.\nAnswer: 303*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2397 - 26. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/6 + k**3\/6 + k**2. Suppose -l - 1 = 4, -3*j + l + 11 = 0. Suppose 2*n - j*m = -n - 3, 3*n - 6 = -m. What is d(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:00 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34.5 - -35. Let m = 1.1 + -1.4. Let a be (-4 - (-1536)\/390)\/(2\/5). What is the closest to a in w, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1059)\/(-189) + (-6)\/2. Let u = -26\/9 + f. What is the second biggest value in 1\/4, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 100 = 5*g, 2*z - 44 = -3*g + 4*z. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/2309, -1, -0.5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13031021222 (base 4) in base 8?\nAnswer: 7151152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.9 in 4\/7, 2\/11, 555\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4635 and 45.\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3118 divide 2345372072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-45))\/((-20)\/(-10))*1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92255, 92270, 92285, 92300?\nAnswer: 92315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*((-33)\/(-1) - (-33 + -25 - -70)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose r*t + 24 = 351. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 14*o**2 - 403 + 403 + 3*o.\nAnswer: -14*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 23894895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -21 (c) 70\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:04 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 9*p + 8. Let x be (-1 + 34\/10)*(-5)\/(-2). Determine z(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 3*i - 2*p, -13 = -i - 5*p. Sort i, 4, 0, 2.\nAnswer: i, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-1))\/(-6 + 5). Suppose 5*t - v*t = -24. Calculate the least common multiple of 22 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07065759 to three dps.\nAnswer: 1.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696882.\nAnswer: 2, 113, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/4*(-1 - 1). Let t = d - -14. Suppose -2*k + 7 = -t. Solve g - 5*g + k = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-290)\/(-35) - (-14)\/(-49))\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0 - c + 2*c**2 - 7\/6*c**3 - 2\/3*c**4 - 1\/20*c**5. Is g(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(117))\/(sqrt(108)\/(sqrt(24)\/sqrt(2)))*4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -298, -742, -1490, -2548, -3922, -5618, -7642?\n\"Answer: -a**3 - 146*a**2 + a - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 9*i + 56. Let r be t(4). Solve -2*y + v + 3 = -9, 0 = -2*y + r*v + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11284900+3671\nAnswer: 11288571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592093 + 593252 = 35*n. Is n a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 48*t**2 - 24*t - 6554. Determine p(51).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*f + 17, f - 5 = -r - 6. Let b be (0 + 11)\/(5 + f). Solve -5*n = -n - 12, -2*n = -g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11039 - 25a?\nAnswer: -11298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 683651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 62*c**2 + 50*c + 4. Let g(o) = -19*o**2 - 16*o - 1. Let k(x) = 4*a(x) + 13*g(x). Let f(j) = j**3 - 5*j**2 + 7*j - 5. Let p be f(4). Give k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15, 3*v - 5*a = 4 + 39. Let d(y) = 8*y + 2*y - v*y. Let n(f) = 4*f. Give n(d(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 6*n**3\/11 + 8*n**2\/11 - 8*n\/11 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**6 + 0*b + 0*b**4 + 0 + 0*b**3 + 2\/15*b**5 - 33*b**2 - 1\/105*b**7. Solve j(f) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and 1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 2640*y + 18333.\nAnswer: 3*(y - 873)*(y - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*f - 10, 0 = 5*h + f + 12977 - 12970 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) 2\/21 (c) 0.09 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -586*q - 9393 - 1155 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14574 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 73*y - 53. Is m(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3 + (-100)\/(-260))*9\/(-2).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7325581619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-13 + 5 + 0). Suppose w*t - 19*t = -2336. Is 73 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + -2 + (13622 - -9).\nAnswer: 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(55)\/(sqrt(10)\/sqrt(2)))**2*2.\nAnswer: -20*sqrt(11) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(6))\/sqrt(3) + -2 + ((sqrt(2) - sqrt(128))**2*4 - sqrt(2))*4.\nAnswer: -3*sqrt(2) + 1566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Let b be n\/(-1) - (-5 - -7). Let m be (2\/(-4))\/(b\/4). Solve 2*u + 9 = -m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = 0, 0 = 25*d - 23*d - 5*y - 44057. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26340, -107423, -242562, -431757, -675008, -972315, -1323678?\nAnswer: -1729097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-5) + -1 + 7. Let y(m) = 0*m**3 + 7 - 17*m**3 + 6*m**2 + 16*m**3 + 7*m. Calculate y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343506099 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 41 - 43 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3261305 - -0.02\nAnswer: 3261305.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.74762 (b) -33\/13 (c) 2\/25 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 + 6*c**3 - 25*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 p when four letters picked without replacement from mppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-9) + 2)*-3. Sort 4, -3, -1, n in decreasing order.\nAnswer: 4, -1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-2780)\/(-12))\/(7\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j - 3*j = 0. Suppose 22*d - 18*d - 644 = j. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2 - (2 + -3) - (2 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 33*u**3 - 39*u**2 = 0.\nAnswer: 0, 13\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4\/5 - g**2 + 12\/5*g = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 2*a**4 + 7*a - a**3 - 13*a + 3*a**3 - 1 + 12*a as z*a**3 + q + f*a + r*a**4 + w*a**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - 1.08. Let f = z - -0.6. Sort -2\/3, 0.2, f in descending order.\nAnswer: 0.2, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3*q**(3\/4)\/q*q)\/(q**(-1\/3)*q)**(-4\/9)*(q\/(q\/(q*q**2)))**(-2\/21)\/(q**(1\/4))**1 assuming q is positive.\nAnswer: q**(-563\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528685*x - 528584*x - 2310 = -10390 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7826257 rounded to two decimal places?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 475341 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10786633 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/432372 and -23\/137.\nAnswer: 432372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/(4\/18). Suppose 3*p + 0*p = k. Factor -h - 3*h**4 + 6*h**p - 6*h**3 + 5*h**4 - h.\nAnswer: 2*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 17*i**3 - 1. Give s(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 322052765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15*(-12)\/22. Let r = -0.2 - -0.3. Let u = r + 0.4. Which is the second smallest value? (a) -2\/7 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 145 = 13*f - 0*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 636.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:31 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let m(d) be the second derivative of 7*d**5\/30 - 9*d**2 - 25*d. Let j(x) be the first derivative of m(x). Calculate j(l(o)).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -22. Suppose 19 + i = -3*p. Let t be p\/2*3\/(-3). Calculate the highest common divisor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u + 59. Determine i(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**3 + 0*p**3 - 2*p**3 + (-3*p**3 - 6 + 6)*(-2 + 1 + 0).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g + 2*g)*(g - g - g**2) + (3*g + 2*g**2 - 3*g)*(3*g + 0*g - g) + (-329 + 329 + 204*g**2)*(0*g + 4*g - 2*g).\nAnswer: 411*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 627, 0.1, 1\/2113, 11 in ascending order.\nAnswer: 1\/2113, 0.1, 11, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjfljfkfkfaf. What is prob of sequence ffj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*(-5 + -1*5*(1 + sqrt(833) + -5)*1).\nAnswer: -63 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10807533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/8981 (b) -32.149 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8853971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 588 = -61*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 27 - 45. Suppose 0*o + 8 = 2*o, -v*o + 32 = c. Solve -u - c = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 665, -44 in descending order.\nAnswer: 665, 3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7113 by 5.\nAnswer: 7113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 110. What is the remainder when i is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 + 34 = 0, 0 = 3*h + 3*t - 1455. What is the smallest common multiple of 6 and h?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51142 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l**2 + 149*l + 49*l**2 + 16*l**2 - l**3 - 81*l**2 in the form t*l**3 + z*l**2 + i*l + d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 4*o + 5*o)*(5*o**2 - 5*o**2 + o**2) + (2*o - 2*o - 2*o)*(-61*o**2 - 62*o**2 + 20*o**2))*(38 - 6*o**2 - 38).\nAnswer: -1248*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105024030 + -25?\nAnswer: 105024001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 16. Let x = 54 - f. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3819 - -3843. Let z(t) = t**2. Let j(k) = 3*k - 3. Let u(g) = -j(g) + z(g). Let h be u(3). Solve 2*a + 3*n = h*a + 2, 4*n = -4*a - o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(y**3 + y**2 - y**2) + 425*y**2 - 425*y**2 - 16*y**3 + (3*y + 0*y - y)*(2*y**2 + 2*y**2 + 0*y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**3 + 3*b**3 - 6*b**3 + 3*b**3 + 2*b**2 wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(((v*v**(1\/2)\/v)\/v*v*v)\/v))\/v*v**1\/v)\/(v\/(((v*v**(-2\/3))\/v)\/v))**(-1\/30))\/(v**(2\/5)\/(v*v**(2\/19)\/v*v))**7 assuming v is positive.\nAnswer: v**(7739\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 738*h**2 + 735*h**2 + h - 1471*h**2 + (-3 + 6 - 2)*(0*h - h**2 + 0*h).\nAnswer: h**2 + h + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116190 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 576*y - 5764. Determine s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - 7 + 7)*(-1 - 5 + 3)*(2*s - 9*s - s) to the form o*s + d + y*s**2 and give y.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:29 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 626365 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 22. Let c be i(-5). Let n = -63 - c. Calculate the highest common divisor of 81 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 477.3637 days?\nAnswer: 687403.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 1)\/((-10)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) 11\/8 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22704, -45406, -68108, -90810, -113512?\n\"Answer: -22702*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.2109 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8 - 27\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/4 (b) 0.37 (c) 0.03188 (d) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22332*-24572.\nAnswer: -5487.41904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. What is the units digit of (10 - i) + 10\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -304*u + 1807. Determine s(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 4*x**8\/7 + 11*x**4\/3 + x**2 + 8*x. What is the third derivative of w(g) wrt g?\nAnswer: 3840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = q, 5*q + 0*z - 5*z - 60 = 0. Let r = 165 - 155. Let v = 37 + r. Calculate the remainder when v is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 6) in base 16?\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 28 = -4*p + 2*c, -6*p + 16*c + 35 = 6*p - 17*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 5668749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14061244 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44868576, -44868578, -44868580, -44868582, -44868584?\nAnswer: -44868586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 896986 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 34 - 13*k + 6.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:41 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*y - 39 + 32, 16*y - 68 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**3*n**3 - 2961*m**3*n**2 + m**3*n + 99*m**2*n**5 wrt n?\nAnswer: 48*m**3 + 5940*m**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z + 58*z + 203*z + 8189 + 10141 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) -4 (b) 5 (c) 3 (d) 1 (e) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:27 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-119))\/(6\/(-306)*6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*x**2 + 45\/4 - 21\/2*x = 0. Calculate x.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 67 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x**3 - 1)*(1 - 2 + 0) + 2*x**3 + 0*x**3 - 4*x**3 + 1 + x**3 - 1 - 5*x + 5*x + 10*x**3 + (-3*x + 2*x**2 + 3*x)*(-5*x + 5*x + 2*x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 2*n**2 + 0*n**2)*(-1 + 4 - 1)*(4*n + 5 - 4 - 6*n).\nAnswer: 4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/85? (a) 0 (b) 2 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**2 - 7*o + 1. Let y be l(6). Which is the third smallest value? (a) 1 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 64*l - 67. Let a be v(65). Let m = -1 + 0. Put 2, 0, m, a in descending order.\nAnswer: 2, 0, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1628 = -5*t - 4*j, 2*t - 5*j - 814 = 0. What are the prime factors of t?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u**2 - 140*u + 13. What is m(7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00853 times 16?\nAnswer: 0.13648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1339, -2393, -3447, -4501, -5555?\nAnswer: -6609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuww when four letters picked without replacement from swhvrwuu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*n = -32, 4*m - m - 3*n = 6. Let t(d) = -d**3 + 6*d**2 + 8*d - 3. Let h be t(m). Let b be 2\/(22\/h - 0). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18*o)**(2\/47))**(-33\/2) assuming o is positive.\nAnswer: o**(-627\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/11 (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*u - g - 2 = 113*u, -u + 5*g - 20 = 2*u - 86 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003506 to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -15. Let o = -1 - -0.7. What is the third smallest value in -2\/7, q, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/20 + p**5\/20 - 3*p**4\/8 - 5*p**3\/6 - 15*p**2 + 76. Let k(i) = i**3 + i**2 - i - 1. Calculate 5*k(j) - w(j).\nAnswer: -j**3 + 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02662 and 0.4?\nAnswer: 0.010648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 450 + -252. Let z = d - 182. What is the third biggest value in 0.05, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 4*n - 1. Let v = 12 + 1. Suppose -5*o + v = -47. What is the lowest common multiple of o and f(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.855634 rounded to two decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42*4)\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4515, 5, 4 in decreasing order.\nAnswer: 4515, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 6. Let a be p(-3). Suppose 2*i - 6*i = a. Suppose 6*z - 5*z - 13 = 2*d, 3*d + 21 = 2*z. Put -1, d, 1, i in decreasing order.\nAnswer: 1, i, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - (6 - 5). Let j be (q - -3 - -2)\/1. What is the second derivative of -o**3 + o**3 + o**j + 0*o**3 + 3*o wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjiixxxjxxiix. Give prob of picking 2 i and 2 x.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 471, 2.\nAnswer: 2, 4, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321520.\nAnswer: 2, 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-32))\/((-51)\/(-4))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, 3*d - 3*o + 4*o = 6. Suppose 74 + 76 = d*q. What is the highest common factor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 148, 145, 142, 139, 136?\n\"Answer: -3*v + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -437, -979, -1521, -2063, -2605?\n\"Answer: -542*d + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210588 (base 9) to base 12.\nAnswer: 60508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f + 7. Suppose 0 = -5*r - 2 + f. Let x = r - 0. Sort 2, -3, x in decreasing order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*h - 26 = 0, 939*h + 34 = -4*r + 942*h for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2282 + 2361. Solve 44 = 7*h + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 965*x + 2750. Let h(b) = -b**2 + 161*b - 458. Let q(z) = 25*h(z) + 4*o(z). Let q(d) = 0. What is d?\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 823*n + 16287. What is f(-221)?\nAnswer: 2806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005732 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 483283 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.05182.\nAnswer: 0.46638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929478141 to the nearest integer?\nAnswer: 30487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 383 - 262. Let c = b + -83. Suppose -4*l + 178 = -c. Which is greater: 55 or l?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1096 + 1122 + 10 + -62\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((0 - -3) + -3). Let n(c) = -3*c**v - c**2 + c**2 + c**2. Let j(d) = -8*d. Calculate n(j(a)).\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 2.06. Let x = y - 1.8. Suppose -23*p - 547 = -432. Which is the closest to x? (a) p (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -125624*l - 10049913. Determine g(-80).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6 + 2.15. Let c = g - 0.15. What is the closest to 1\/4 in c, -2, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2484601\/3 - -828201. Factor 1\/3*y**5 + 0*y**2 + 1\/3*y**3 + 0*y + 0 + v*y**4.\nAnswer: y**3*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 171*l**2 + 699*l + 34. What is x(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/26*13\/(-7)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5117 - 1552. List the prime factors of n.\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 7 = -4*c. Suppose 0 = c*b, -2*o + b = -b - 6. Suppose 0 = o*g + 9939988 + 6860012. What is g rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/6 - j**3\/6 + 284*j**2 + 8*j. What is v(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 1, a: 2, h: 1}. Give prob of picking 1 c, 1 f, and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93949462 and 16426?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 82*h + 49. Let w(n) = -411*n - 243. Let y(x) = -21*l(x) - 4*w(x). Is y(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87485554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 5. Let u = 50 + -20. What is the remainder when u is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 140 (b) -9 (c) 3 (d) -3 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178017424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3, 0, -9, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let x = -11 - -10. Let p be (-1 - (-5 + 1))\/x. Put p, -4, l in ascending order.\nAnswer: -4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101924 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1.3014 (b) 5 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/(-17080))\/((-255)\/(-24)). Let d = 18668\/5185 + w. Factor d + 3*p - 3\/5*p**2.\nAnswer: -3*(p - 6)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:20 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 7*f**2 + 8*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voqvvpvvpoopo. What is prob of picking 2 v?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(163\/(-12)). Let t = z + 6710\/489. Calculate the common denominator of 70\/9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 36.22, -3\/11695 in descending order.\nAnswer: 36.22, 1\/5, -3\/11695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36462443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12166 and 1540.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29429 + -12399. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-31 + -3) - 23\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -498365 divided by 99673\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49492, 198131, 445862, 792685?\nAnswer: 1238600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d + 2. Determine x(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 5*w**2 + 3*w + w**3 - 3*w**2. Suppose 4*n = -0*d + 2*d, 4*d + 7 = n. Let a be y(d). What is the highest common factor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1687\/20532 + -2\/1711. Let b = -6 + 5.6. Put b, g, 9 in increasing order.\nAnswer: b, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 11482\/137?\nAnswer: 11482\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x + 22*x = -3*t - 1, -t = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 + 2.02. Let p = 289 + -288.8144. Let q = p + n. What is q rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426014410.\nAnswer: 2, 5, 42601441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 13*o**2 + 14*o - 18. Calculate q(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1069, 1693, 1.5 in decreasing order.\nAnswer: 1693, 1.5, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9*r = 1705. Let t be (-3)\/(-8) + r\/(-456). Let h be 2 + 1 - (-26)\/(-8). Which is the nearest to 0? (a) h (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 3*p - 6. Let b be g(-5). Suppose -2*w + 1 + 9 = 0. Let l(j) = -w*j + 11*j - b*j. Let c(a) = -4*a**2. Give c(l(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (522 + 71*q - 522)*(-4*q + 2*q + q) - 2*q**2 + 0*q**2 - 7*q**2.\nAnswer: -80*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 5*o**2 - 3*o + 5. Let k = -44 + 40. Let h be p(k). Let n = -161 + h. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*d - 2)*(3*d - 3*d + d) + 313*d - 818*d**2 + 517*d**2 - 306*d as i*d**2 + x*d + y and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-2*h - h + 5*h) + (2*h - 2*h + h)*(3 - 6 - 5).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4 + 5. Let f = x - -4. Let s(b) = b**3 - 5*b**2 - 7*b + 10. Let i be s(6). Sort 5, i, f in ascending order.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d - 17. Let t be 2\/(-2) + 2 - 7. Let j(p) = 2*p**2 + 7*p + 35. Let r(z) = t*j(z) - 13*m(z). What are the prime factors of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:39 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d - 6. Let g be u(3). Is -15 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208.5 - 0.51946991.\nAnswer: -209.01946991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + -4 + 7 + (-3 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 19*f + 33. Give p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 104\/94251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Let k = 0.5 - u. Sort 1, 0.1, k.\nAnswer: 0.1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -109.9. Let a = q - 0.7. Let x = a + -6.39999684. Round x to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 1 - 1)*(18*j**2 + 6*j**2 + j**2).\nAnswer: 25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:57 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 61*f + 579. Let z(k) = 86*k + 869. Determine -7*d(l) + 5*z(l).\nAnswer: 3*l + 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-2)\/(3 - 1)). Let m be k + -1 - (1 - 8). What is the units digit of 4\/m + 10\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 28 + 8 = 5*q, 5*q = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 93)\/((-2384)\/(-1490))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24112*f**4 + 48218*f**4 + 3 - 2*f**3 + 2*f**2 - 24113*f**4 in the form m*f + c*f**3 + x*f**4 + z + y*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91744016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1384)\/(-12))\/(2258\/564 - (8 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 20948 (b) -4 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330743*b**2*g**2 + 3*b**2*g + 87*b**2 + 5*b*g - 3*b - 25*g**2 - 75*g + 1 wrt g?\nAnswer: 661486*b**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 3 - sqrt(5)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and 19\/20416?\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, n: 6, d: 2}. Give prob of picking 1 n and 1 d.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaxsw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 3*x + 2. Let g = 0 + -3. Let v = 5 + g. Does 3 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 + 6267662*b**2\/7 + 12535330*b\/7 + 6267666\/7.\nAnswer: -2*(b - 3133833)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 + -1860.39737.\nAnswer: -1875.39737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, k: 6, t: 2, c: 1}. What is prob of sequence nttn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + f - f**4 - 2 + 2*f**2 to the form x*f + p*f**4 + t*f**2 + q + a*f**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10198.9287us in days?\nAnswer: 0.00000011804315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(34\/340*(492\/(-205))\/(6\/15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15033550 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/125 bigger than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 2*p**3\/3 - 29*p**2\/2 + 19*p - 6. Let h be z(14). Find v such that -17 + 18 - 10*v**2 + 9 - 20*v**3 + h*v**5 + 15*v = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323399771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 113600 and 142000.\nAnswer: 568000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + b + 1. Let i(m) = -5*m**3 + 8*m**2 + 8*m - 3. Let g(x) = -i(x) + 4*y(x). List the prime factors of g(6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + 0 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2. Let h(x) be the third derivative of 13*x**5\/12 - 3*x**2 - 90. Calculate h(m(c)).\nAnswer: 2340*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -2445\nAnswer: 220.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19393393, -19393392, -19393391, -19393390, -19393389, -19393388?\nAnswer: -19393387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258998 is divided by 175?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 626, 622, 618, 614, 610?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -151, -448, -1037, -2068, -3691, -6056?\n\"Answer: -25*b**3 + 4*b**2 - 134*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257709?\nAnswer: 3, 85903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14))\/((-567)\/(-648))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j = 3*v + 21, -67 = -4*j - 5*v. What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 46. Let h be y + 4 - -2 - -3. Suppose -d = 5*o - 83, h*o - 42 = 2*d - 0*d. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/116?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + (sqrt(147) - (-1 + sqrt(147) + sqrt(147))))) + sqrt(147) + 2*sqrt(12))**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -188, -190, -194, -200?\n\"Answer: -y**2 + y - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2028 + -2026. Let g(y) = 20*y - 5. Let n(l) = -10*l + 2. What is s*g(r) + 5*n(r)?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.044 + -14.956. Let q = -2.37 - 2.63. What is the biggest value in k, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 6) to base 16\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.1, -2\/11, 0.94, 2 in descending order.\nAnswer: 2, 0.94, 2\/7, 0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + z + 14. Is d(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6570, -13141, -19712, -26283, -32854, -39425?\nAnswer: -45996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42829331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-756)\/876)\/(-9))\/7)\/2?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7133?\nAnswer: 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8641, 7015, 5389, 3763, 2137, 511?\n\"Answer: -1626*p + 10267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 5605 + 14987 = 0. Let q = b + 1302. Suppose -344 = 3*r - 7*r. Calculate the remainder when r is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 205*y**2 - 3516*y - 1781. What is w(186)?\nAnswer: 1567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -20*v**2 + 6*v**2 - 1 - 5*v**2 - 7*v**2. Calculate d(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10876050 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 3. Determine k(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (24 - 7) + -19 + 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let w = 6 - f. Let n = -141\/2 + 68. Which is the closest to 1? (a) w (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.19 times 0.0102?\nAnswer: 2.460138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9882, -20789, -31696, -42603, -53510, -64417?\nAnswer: -75324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -83, -200, -365, -578, -839, -1148?\n\"Answer: -24*a**2 + 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2*c - 2. Let v be d(-2). Suppose v = -2*o + 4*o. Let g = 0 + o. Solve j = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 42.902 (b) -1 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.9795 centuries to millennia.\nAnswer: 12.49795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 5 - -2 - (-10 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 167837.4 kilograms?\nAnswer: 167837400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 0.05 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 8, 0*q + 6 = -3*q - 3*k. Suppose 3*u - 15 = q, -u + 4*u = 4*x + 11055. Let r = x - -24782\/9. Calculate the common denominator of -37\/11 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20427 and 2409.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7467 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1158, -8883, -30124, -62565, -106206?\nAnswer: -161047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = -4. Which is the nearest to 1? (a) -3\/7 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033 + -1102?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 3*p - 4. Let q be v(4). Suppose 3*c + q = 5*l, -2*l - 8 = 4*c - 4. What is the units digit of 9 - -1 - (c - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 41?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-8607)\/(-38))\/((-4)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 724469983 and 0.3.\nAnswer: 217340994.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f - 51*f = 28. Let r be ((2 - -14)\/4)\/(f\/6). Solve 0 = 2*h - 0 + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3192 + 851 = 2*s, w - 4046 = -s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 1162.\nAnswer: 1161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001804802 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by -360934\nAnswer: -173\/360934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127782 and 9.\nAnswer: 127782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:45 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2696 and 81\/1348?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065008 is divided by 1641.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*q**2 - 2685 + q - 2765 + 7159 with respect to q.\nAnswer: -174*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2 = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*l - 20, 4*a + 5*l - 127 + 38 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 2 + 2 - 1)*(53*k + 58*k - 100*k) to l*k + t*k**2 + c and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76128.5 rounded to the nearest one hundred?\nAnswer: 76100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4316 and 9794?\nAnswer: 254644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/12 + 5*c**2 - 4. Let p(b) be the second derivative of j(b). Let a(k) = -8*k. Give a(p(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 1 + ((-2876)\/412 - -2). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8889*o + 991*o - 707*o)*(-4 + 4 - 3).\nAnswer: 25815*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 + 5*r**4\/3 + 8*r**3\/3 + 9*r**2\/2 + 4159*r. What is o(-19)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2380073955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let q be c(0). Suppose 3*s - 2*y + 3*y - 16 = 0, -24 = -5*s - y. Solve -s = -q*z + z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162063 or 2\/317?\nAnswer: 2\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**3\/5 - 92*f**2\/15 + 82*f\/15 - 8\/15.\nAnswer: 2*(f - 4)*(f - 1)*(9*f - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 161*20\/(-420)*-3. Sort -2, 27, f, -1, -3 in decreasing order.\nAnswer: 27, f, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -8936\nAnswer: 33\/4468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17495862*m**3*s**2 + 37*m**2*s + 2*m*s + 2*s**2 + 245185*s wrt m?\nAnswer: -104975172*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 688.3809s?\nAnswer: 688380.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 10. Solve 0 = -m - 3*i - 2*i + 1, -3*i = -g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1356, 1314, 1188, 942, 540, -54, -876?\n\"Answer: -6*u**3 - 6*u**2 + 18*u + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 884205 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - j + 10. Suppose -2*c - 2 = -6. Suppose 0 = c*y - 0*y. Determine k(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/28, 17, 0.15?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**13)\/(k\/k**28) assuming k is positive.\nAnswer: k**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 136 = 5*j + 47, t = -3*j + 52. Calculate the highest common factor of j and 780.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 18*a**2 - 35*a - 69. Let r be x(16). Let k be 1 + (-4 + 0 - -134). Let h = k + r. Calculate the smallest common multiple of 6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 7 - 3)*(3 + n**5 - 3 + (4 - 2 + 0)*(2*n**5 - n**4 + n**4) - 4*n**5 + 0*n**5 + n**5).\nAnswer: -40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/((-119)\/(-238)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 22. Let i(p) = -3*p**b - 4*p**2 - 4 - p + 4*p**3 + 2*p**3 - 2*p**3. Does 4 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (-64 - -62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 + 65 - 36 - 29.\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(336)\/(sqrt(24)\/sqrt(2)))\/(sqrt(4) - ((sqrt(32)\/sqrt(2))\/sqrt(4) - sqrt(4))))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.1 - 0.1. Let s = q + -12. Put -1\/6, -4, s in increasing order.\nAnswer: s, -4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004981 rounded to 6 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a factor of 2974732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from eesvvseiiev.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -803 + 820. Calculate the lowest common multiple of 714 and g.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7 + 11 = 0, -2*y = -2*x + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1793)\/326 + 1 + 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*u - 14. Factor 0*h**3 - h**3 + 2*h**2 + 5*h**u - 2*h**3.\nAnswer: 2*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 = -2*b + 5, -3*r = 2*b - 1. Let q be (-25)\/(-3) + 2\/3. What are the prime factors of 8*r\/(6\/q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 + 5*y. Let w(i) = 2*i - 7. Let m be w(6). Let a(x) be the second derivative of x**4\/3 + x**3\/2 + 6*x. Calculate m*a(r) - 3*u(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t + 43. Let c be s(19). Suppose 0 = -5*f - f + c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*d = -6, 14*d - 3 = -3*o + 17*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:19 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 2 + 2*u + 4)*(4 + 72 + 0) to d*u + a and give a.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1380 divided by 276\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -93, -207, -367, -573, -825?\n\"Answer: -23*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15.3. Let i = -1 + 0. Sort i, 0, o in ascending order.\nAnswer: i, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 17, -102355, -1, 0 in descending order.\nAnswer: 17, 1, 0, -1, -2, -102355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -0.3, -1\/5, 1\/119, 5.7, 66?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.58 - 0.38. Let p = -4 + t. Which is the third biggest value? (a) -0.4 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11 = -330*s + 325*s, 2*x - 5*s = -14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 8*b. Let m be k(-7). Suppose 0 = x + 4*r + 14, r - 2*r = 2*x - m. What is the third derivative of 2*c**2 - c**2 + 0*c**2 - c**x wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**5\/20 - q**3\/6 + q. Let k = 24 - 23. Let y be o(k). Solve 2*j + y*j = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*b - 14*b**3 + 222*b - b**3 - 114*b.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 + 111. Let a(d) = 4*d - 32. Let z be a(r). Is 86\/5 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*b + 51, 4*m + 14 = -3*b + 78. Let o(k) = -5*k**3 - 13*k**2 + 13*k - 13. Let w(c) = -2*c**3 - 6*c**2 + 6*c - 6. Determine m*w(p) - 6*o(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-28))\/(5\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + -4.29. Let i be (1\/2)\/(54\/8). Sort v, 2\/7, i in decreasing order.\nAnswer: 2\/7, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3605162 - 4643449215\/1288. Let h = v + 1\/184. Put -3\/5, h, 1\/4 in decreasing order.\nAnswer: 1\/4, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. Let w = -139 - -142. Which is the nearest to w? (a) 1\/6 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -16. Let p be (12\/t)\/(2\/(-5)). What is the third derivative of p*r**2 + 3*r**2 + 4*r**2 + 10*r**5 wrt r?\nAnswer: 600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-19)\/(95\/(-40)))\/(-6))\/((-350)\/(-15)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*m + 2589 - 8448 = 0, 2*m = y - 2930. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -266*v**6\/3 - 2*v**3\/3 + 59*v**2 + 1829. Find the second derivative of o(h) wrt h.\nAnswer: -10640*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -137 + -5?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/24*12\/30*-4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 + 0*g**3 + 11\/6*g**4 - 2*g + 0*g**2. Let c(i) = 1633*i + 1624*i + 1627*i + 1635*i - 6517*i. Give z(c(h)).\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209.95 - -209.05035. Let f = c + 0.9. What is f rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 197850659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 14\/65, 0.07, -11 in descending order.\nAnswer: 14\/65, 0.07, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 59 + (-30 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12) + 103\/3. Let i = 36 - m. What is the lowest common multiple of 47 and i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 62. Let u be 72\/20 + ((-21)\/o - 1). Suppose 6*c - 18 = u*c. Solve 2*i - c = 5*i - 3*w, 0 = 3*w - 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (119\/21)\/(58\/(-30) + 2) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - b**2 + 51 - 4*b**3 - 9*b**2 + 10*b**2.\nAnswer: -4*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 2714*u + 40963. Calculate c(15).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284580 and 14280.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/39)\/(q**42*q))\/((q**(-1\/31)\/q)\/q*q*q*q)**(-5) assuming q is positive.\nAnswer: q**(-46106\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(276\/132)*(-96)\/24.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 95733*r**4 - 2290770962*r**3 - 20624789502*r**2 + 2290770963*r + 20624693769 = 0.\nAnswer: -9, -1, 1, 47871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, r: 4, b: 5, x: 7, h: 2}. What is prob of sequence rbff?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2101802*k**3 + 776610*k**2.\nAnswer: 12610812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 70. Calculate b(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.778882 and -15.\nAnswer: -21.778882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*-2*(sqrt(405)*3 - sqrt(405)) + -4)**2*4.\nAnswer: 27648*sqrt(5) + 3732736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 11\/((-2145)\/(-598)))\/((-6)\/(-30)). What is r in -2\/3*r**3 + 0 + 16\/3*r - d*r**2 = 0?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 + 6*o - 7. Let s be j(3). Let l = s + 139. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 2234113?\nAnswer: -2234115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 7120?\nAnswer: 42720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -3.1.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 10*r**2 - r + 13. Does 13 divide v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6349979 milligrams?\nAnswer: 0.0006349979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-24.086189\nAnswer: 12.0430945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-5)*10505\/44*2. Let i = a - -4944. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 53, 91, 139, 197?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 2*q + 2, -20 = -2*v - 4*q. Is 4 a factor of (-20)\/v*6\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 + 19*h**4 + 71*h**3 - 136*h**2 + 48*h = 0.\nAnswer: -4, 0, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {j: 5, o: 5, f: 2}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 11 = 5*g. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - r - 27, -5 - 4 = -4*l - 5*r. Suppose -5*v = -v. Suppose -2*z - 4*j - j = v, -4*j - l = z. Calculate the highest common divisor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2590 and 45225470.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(0 + (-1)\/5). Let q = 1.73 - -0.27. What is the nearest to -1\/2 in 0.5, b, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 122\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*y**5 + 12730*a*y**4 + 5*a*y - y**4 - 28512*y**2 wrt y.\nAnswer: -60*a*y**2 + 305520*a*y - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + -5 + (-447)\/(-6). Suppose 0*h = 10*h + j. Is -2 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 = 3*z. Put -2, z, 6 in increasing order.\nAnswer: -2, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 5, 3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f + 30*f + 40*f to the form l + x*f and give x.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7550307 millilitres?\nAnswer: 0.0007550307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -14 - ((4 - 16) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-7)*(4 + 0 + 3). Suppose 5*k + 943 = 4*o - o, 4*o - 1238 = -c*k. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 17 - (0 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -4*h - 15, -9 = 3*k - h - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -983*r - 190689 + 135641 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.1 - -42. Let x = 116 - 68. Let r = 45 - x. Sort k, -2\/5, r.\nAnswer: r, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from wxexe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35140 and 122990?\nAnswer: 245980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -608 + 601. Let l(v) = -32*v - 222. Calculate the remainder when 5 is divided by l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.3, -4\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + 95. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 7*a**2 - a + 44. Let f be u(6). Find j such that -34379*j**2 + 34376*j**f - 1 + 54*j + 1 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 415.6419m?\nAnswer: 0.4156419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17708*j + 53134. What is f(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 - 3*y**4 + 2*y**4)*(-2 + 2 - 2*y) + y**3 - y**5 - y**3 + (-4 + 4 + y)*(-16615 + 177*y + 16615)*(-2*y**3 + 3*y**3 - 2*y**3).\nAnswer: -182*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17*x + 179 = 16*x, -855 = -5*m - 5*x. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*k + 132, 0 = -z + 4*k + 5 - 32. Is (1426\/6 - 13\/z) + -1 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12320203 - -21?\nAnswer: -12320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -28*b - 94 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 58 - 28 - 29 - 2*l. Let o be h(-1). Suppose -161 = -g - 2*q, -5*g + 121 = -o*q - 697. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31224600 by -13695.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -638 * -5.\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.32 - 0.32. Let f = t - 30. Which is smaller: -0.01 or f?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/(n\/n**(-1\/17)))\/(n**(-1\/5)*n)**2 assuming n is positive.\nAnswer: n**(-906\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 29*b**3 - 4*b**2 - 14*b + 22. Let z be v(8). Suppose 4*l - z = -2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155665 (base 8) in base 5?\nAnswer: -3244440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*y + h + 39, 4*h + 13 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -559671 divided by 29?\nAnswer: -19299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0982404+1988406\nAnswer: 1988405.9017596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261*v**5 + 307*v**4 - 3*v + 113361 wrt v?\nAnswer: -5220*v**3 + 3684*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.6 + 32. Let w = 15 + -9. Let m = t + w. Which is the biggest value? (a) 4 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2666 = -0*k + 2*k. Let r = k - -377. Let b = -19111\/20 - r. Find the common denominator of b and -3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4531 - -4646. Solve x = 57*q - 34*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 - g + 1. Let f be d(-2). Let n(w) = -3*w**3 - w - 2. Let a be n(f). Solve 3 + a = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5984*t**4 + 5981*t**4 + 3*t - 21 as f*t**4 + g + c*t**3 + w*t**2 + h*t and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2264, -0.2, 9, 1\/2, 7.4, 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-146*n - 2132 + 2132)*(-2*n - 27*n + 18 - 18) to d + a*n**2 + f*n and give a.\nAnswer: 4234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-15))\/((-2)\/10). Suppose 64 = 5*k - 0*k - 2*q, -a*q + 56 = 5*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -8?\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 13. Let n(o) = 5*o + 66. Determine -11*b(c) + 2*n(c).\nAnswer: -c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, u - 47 = -z - 4*z. Which is the nearest to 0? (a) z (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.2074 or 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-1\/4)\/z)\/z*z)**(-48) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 2*x = -29, -x - 27 = -5*s. Factor -36 + 4*g - 34*g**2 + 35 - s*g + 35*g**2 + g**3.\nAnswer: (g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/5 - 81\/20. Let v(p) = 2*p**2 + 2*p - 1. Let x be v(1). Sort -1\/9, x, k.\nAnswer: k, -1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 7264. Let y(g) = -2*g. What is j(y(l))?\nAnswer: 4*l - 7264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*g + 22369, 5*p - 5586 = -g - 0*p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 8353 = -4*j + 9*a, -3*j + 3*a = -6276. List the prime factors of j.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5\/19 - 37998*l**4\/19 + 242363004*l**3\/19 - 529716440932*l**2\/19 + 68486311880706*l\/19 + 210232930489938\/19 = 0.\nAnswer: -3, 141, 6287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-17) - (-1356)\/34. What is the highest common divisor of 360 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1718 = 2*m - 5*t + 221, -4*t = -3*m - 2912. Let u be m\/(-30) - 2\/5. Suppose 0*b = 2*b - u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:20 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 7*m**2 + 10 + ((-4*m + 3*m + 2*m)*(1 + 7 - 1) + 0*m - 2*m + 0*m)*(1 + m - 1).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141.5904l to millilitres.\nAnswer: 141590.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -212*x + 3396. Let k be f(16). Solve -5*s = -3*q - 2, -k*q - 3*s + 6*s = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 2)*(0*j + 2*j**5 + 0*j - j).\nAnswer: 14*j**5 - 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 2860416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11427224.\nAnswer: 2, 53, 26951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (56\/(-210))\/(14\/924). Which is greater: 0.2 or r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6)*29\/145)\/(119\/(-21))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12 = 0, -2*o = -o + 3*t - 7. What is the remainder when 73 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -80*r + 17*r - 455 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = a - 19, -222*a + 169 = 40*c - 219*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*a**3 + 91*a**3 - 528*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = -3*g - 11, -3*g + 5 = -f. Let o(n) = 4*n + f*n**2 - 4*n. Let t(d) = d + 24. Let p(m) = 6*m + 192. Let v(y) = p(y) - 8*t(y). Give o(v(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*s + 723*s + 689274 - 689277 to j + l*s and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 8. Let h(f) = -f**3 - 7*f**2 - 7*f - 1. Let w be h(-6). Suppose 6 = 2*v, -w*m + 3*v - 7 = 2. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1216) - 1*(sqrt(1216) + 1))**2 - 6*-2*sqrt(1216)) + 1.\nAnswer: 5 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmp when three letters picked without replacement from mppppppppppppmmppp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1577392881.0000101 - 1577392762. Let q = -49 + 168. Let g = q - j. What is g rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/6 (b) 0.7 (c) 9\/2 (d) 1.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 19. What is the closest to n in -3\/7, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2133 + 2325. Solve 16*v = -80 + g for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - 3 + 3)*(-4 + 2 + 1) + w + 3*w - 2*w)*(-7 + 1 + 3) + 3*w - 2*w - 2*w + (-3*w + 2*w - 2*w)*(0 + 3 - 4) - 3*w + w + 4*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -300002, -300102, -300204, -300308, -300414?\n\"Answer: -l**2 - 97*l - 299904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/16980 and -109\/510?\nAnswer: 288660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5 + 733*d**4 - 491*d**3 - 245*d**2 = 0.\nAnswer: -245, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 5*c - 4. Let u be w(3). Suppose 2 = -n - 5. Calculate the remainder when (n - u) + (15 - -1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**19\/(v\/((v\/(v**(3\/10)\/v))\/v)*v**14*v*v) assuming v is positive.\nAnswer: v**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -362 - -309 - (7 + -4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 + 154 - (107 + -17)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24369*b**4 + b**3 - 58082 wrt b?\nAnswer: 97476*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 161, 365, 651, 1019, 1469, 2001?\n\"Answer: 41*z**2 - z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-7812)\/(-15) + -1. Let r = -36711\/70 + m. What is the common denominator of 17\/10 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0346289355 and -3.3.\nAnswer: -3.3346289355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*m = -244, 4*s - m - 3*m - 260 = 0. Suppose u = -2*u + s. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 39*c**3 + 8*c**2. Let k(h) = -13*h**3 - 3*h**2. Suppose 3*d - 26 = -2*x, -8 = -2*d + 3*x + 5. Let m = -367 - -370. What is d*k(s) + m*u(s)?\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -o + 5*h, 4*o = -11*h + 13*h + 22. Let y(a) be the first derivative of -1\/26*a**o - 7 + 8\/39*a**3 - 5\/13*a**2 + 4\/13*a. Factor y(z).\nAnswer: -2*(z - 2)*(z - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -752*k**3 - 376*k**2 + 376*k + 752. Let q(r) = r**3 - r**2 + r + 2. Calculate -m(i) + 376*q(i).\nAnswer: 1128*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 - j**2)*(0 - 6 + 4) + 2*j**2 - 2*j + 2*j + 0 - j**2 + 0 + 1 - j**2 - 1 + (j + 15*j + 66*j)*(0*j - 2*j + j).\nAnswer: -78*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -14. Suppose 5*m = m + t. Suppose -n + m*z + 1 = -0, 4*n = -4*z + 68. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - l + 30*l)*(1 - 2 - 1)*(l**4 + 2*l**3 - 2*l**3).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23475 - 23475 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31281 (base 16) to base 11\nAnswer: -128301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:57 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 148?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/4 + 4*h**3\/3 + 2*h**2 + 3*h - 1. Let u be (-6)\/4*(0 + 2). Let k(l) = l**2 + 5*l + 4. Let z be k(u). What is g(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 1, j: 1, c: 2, n: 1, r: 2}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 456250*h**3 - 3*h**2 + 11*h + 4. Let u be m(4). What is u rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (20 - (-4 + 24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75805647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-56 + 5) - (-1 - (18 + 2 + -4))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -28*t**2. Let u = 6 + -22. Suppose 5*i - 12*i = 73 - 108. Let f(w) be the first derivative of -3*w**3 + 15. Determine i*q(c) + u*f(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 - 1343 = -5*b + 2*w, 2*w = -b + 302. Let t = 972172 - 972154. Calculate the least common multiple of t and b.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104997822701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2) + -2*sqrt(45))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/16*(-13)\/(-2275)*10*(-70)\/(-12).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let r be 7\/21 + (-4)\/(-6). Let y(t) = -t. Let g(o) = -6*o. Let x(p) = r*g(p) - 8*y(p). Calculate b(x(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 6:07 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10900449*x**3 - 16243919*x**2 wrt x.\nAnswer: 65402694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -2 - (2 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 238, 893, 1994, 3547, 5558?\n\"Answer: x**3 + 217*x**2 - 3*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(51*v + 30*v - 26*v)*(3 - 3 + 20) - 3*v**2 + 3*v**2 + 2*v**2.\nAnswer: -1098*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113010 - 102?\nAnswer: 1112302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)*(-10 + -5). Suppose -5 = -x - g. Let y(j) = j**2 + 11*j + 6. Let n be y(x). Sort 5, n, -2 in descending order.\nAnswer: 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 114.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2aa5 (base 15) to base 5.\nAnswer: -243110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (29\/174)\/(2\/36) - (-39 - 3) and 1510?\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 494085086 and 494085086 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(5\/8)*t*t)))\/(t*t**(10\/9)) assuming t is positive.\nAnswer: t**(37\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*c**2 - c**2 - c**2)*(0*c - 2*c**2 + 0*c) + 3*c**3 + 8*c**4 - 3*c**3)*(-34*c - 67*c + 9*c).\nAnswer: -184*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 826*k + 829*k + 107 = 0, -14*z - 3*k - 94 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*z - 17*z**2 - 81*z to the form y*z + m + b*z**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 6*i + 4. Let p be m(-4). Let l = -6 + p. Solve -4*x = 2 + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5 + 69*h + 6 - 50*h + 0*h**2 - 3*h**2. Let i be (-11)\/2 - (-3)\/6. Let a(j) = -j**2 + 9*j + 5. Let c(s) = i*a(s) + 2*x(s). Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 81 + 133 - 62 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -20*g**5 - 6*g**4 + 6*g**3 - 8*g**2 + 14*g - 14. Let m(z) = -7*z**5 - 2*z**4 + 2*z**3 - 3*z**2 + 5*z - 5. Let v(l) = 14*m(l) - 5*p(l). Factor v(o).\nAnswer: 2*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 2. Let p(a) = 16*a + 11. Let h(w) = -11*m(w) + 2*p(w). Let g(q) = -q. Let u(c) = -11*c. Let s(y) = -5*g(y) + u(y). Give 8*h(d) - s(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1611 = 26*k + 1455. Which is smaller: 20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -597653180444 take away -6?\nAnswer: -597653180438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-121.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13048, -26089, -39142, -52213, -65308?\nAnswer: -78433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5.7786074 * 1\nAnswer: -5.7786074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-90*50\/7500)\/((-28)\/50)\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/6 + (-1660)\/(-498). Let i(l) = -8*l. Let a(g) = -g**2 - g - 1. Calculate f*i(o) + 2*a(o).\nAnswer: -2*o**2 + 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -51, -70, -85, -90, -79, -46, 15?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 - 2) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8926?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69.71 + -0.29. Let i = -4043.84 - -3975. Let k = d - i. Round k to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/(0 - -4)*-46875. Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6709598635*v**4\/3 - 2207512698320*v**3\/3 + 6004015050*v**2 - 16329960*v + 14805 = 0.\nAnswer: 3\/1103, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436834 to the power of 1\/2, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10293 divided by -3431?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j. Suppose -3*m + 321 + 252 = j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (172 - 343898)\/(0 + 8)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*v = -9104, -2*d + 98*v = 96*v - 9098. List the prime factors of d.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - q - q**3 + 20 - 3*q**2)*(-2 + 1 + 0).\nAnswer: q**3 + 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 36)\/((-6)\/(-4)). Is -17 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7072, -6937, -6710, -6391, -5980, -5477?\n\"Answer: 46*i**2 - 3*i - 7115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.036170475 + 1.0361. Round s to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111237 rounded to five dps?\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 4*w, -2*r - 4*w - 4 = -2*w. What is the common denominator of ((-16)\/6)\/(4\/(-10)) and (-4 + r\/2)\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (-6 - -1 - (26 - 36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.695*1.3\nAnswer: 3.5035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02747 and -180985.27?\nAnswer: 180985.24253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/4 - 525*a**3\/2 + 93939*a**2\/4 - 89787*a = 0. Calculate a.\nAnswer: 0, 4, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*p + 27, p - 6 = 3*p. Let o(x) = 2*x**2 - 240*x + 7174. Let z be o(64). Solve -5*f - 1 = 2*y - 2, i*f + z = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 90*h**2 + 92*h + 127. What is q(-89)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -136, -170, -228, -316, -440, -606, -820?\n\"Answer: -n**3 - 3*n**2 - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9, 1052, -5, 6 in decreasing order.\nAnswer: 1052, 15, 9, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -18136, -18132, -18128, -18124, -18120?\nAnswer: -18116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4522738 smaller than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)*n)**(3\/7)\/(n\/n**(-5)*n*n**0) assuming n is positive.\nAnswer: n**(-227\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*t = -4*i - 35, -2*t = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1536 or 57824?\nAnswer: 57824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 1026 = 7*s. Which is the closest to s? (a) 1\/12 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5*w**3\/9 + 5*w**2\/2 + 20*w\/3 - 77. Factor c(m).\nAnswer: -5*(m - 4)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 12. Let p be c(17). What is the highest common factor of p and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l**2 - 78*l**2 - 137389*l - 122*l**2.\nAnswer: -159*l**2 - 137389*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d**2 + 392*d + 209. Give p(-22).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 5. Let w be v(21). Let o = -30 - w. Which is the nearest to -1\/3? (a) -1\/10 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/4 + 10*h**3\/3 + 4*h**2 - 3*h + 2. Let w be s(-9). Let y be 9 + ((-5)\/(-1) - 12). Solve w*q - y*q = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2454 - 10?\nAnswer: -2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*-6*(-1*sqrt(245)\/sqrt(7))\/sqrt(7)*-1.\nAnswer: 4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + r - 3 = -0*r, -2*r = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7610 - -17847. List the prime factors of x.\nAnswer: 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-1*1)**2 + 4 + -3 + sqrt(12)\/sqrt(4) + sqrt(3).\nAnswer: 2*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*s + 91*s - 75*s - 25*s - 78*s.\nAnswer: -158*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 32*f**4 - 384 + 36*f**4 - 160*f**2 + 464*f + 0*f**4 + 3*f**3 = 0. Calculate f.\nAnswer: -8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:12 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -144. Are -114 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*t = -5128243 + 1261156. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 78*x - 42. Let t be (323\/(-34))\/(1\/(-2)). Calculate r(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - ((-3*sqrt(1377) - sqrt(1377)) + -2)) + -2*sqrt(1377)*4)*-4)**2.\nAnswer: -1728*sqrt(17) + 198352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*b, 3*b = -0*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2) - 1 - -3)\/(8\/12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3 - -3)\/(-2))\/1. Suppose -3*c = -0*i + 3*i - 15, 5*i - 25 = q. Suppose c*k = -k + 12. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/24 - j**3\/6 + 15*j**2. Let x(l) = 2*l**2. Determine x(u(a)).\nAnswer: 2*a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618980?\nAnswer: 2, 5, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhkhhm. Give prob of picking 2 h and 2 k.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5363821 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2023 - -2022.999993877. What is k rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38676, 38686, 38700, 38718, 38740, 38766?\n\"Answer: 2*a**2 + 4*a + 38670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 54, 47, 38, 27, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 1610?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3361.7576.\nAnswer: -336.17576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - (sqrt(56) + (-2*sqrt(56) - sqrt(56))*-2))\/(sqrt(16)\/(sqrt(8)\/sqrt(4))) + (sqrt(112) + (sqrt(112) - (sqrt(112)*3 + 1)) + 2)*-4)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9*(0\/(-16))\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/48*(-8)\/(-24)*2.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + c**2)*(-2 - c + 2)*(-c**2 - 9 + 9)*(-3 - 6 + 6).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 2 + sqrt(125) + 1 + sqrt(125) + 0 + sqrt(125) + -1)**2.\nAnswer: 80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:25 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + 1 + (7 - 17) - 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*t + 277*t + 2254 = 105*t + 580 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324226273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*2.6590536\nAnswer: -5.3181072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*i - 180, -4*i + 2*j = -j - 148. Let p = i - 13. Find n such that -7*n**3 + 12*n**4 - p*n + 33*n**3 - 6 + n**3 - 6*n**2 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12549 - -37754\/3. Which is smaller: 37 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddua when four letters picked without replacement from {d: 4, a: 5, u: 10}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j**4 + 45*j**5 - j - 27*j**2 - 45*j**3 + j + 37*j**2 = 0. What is j?\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/((-2652)\/1530).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37202166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72838 + -72837. Let o = -2.92 - -3. Let x = 18.08 - o. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87165 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**4)**(-1\/70)\/(h\/h**(2\/3))**(-3\/13) assuming h is positive.\nAnswer: h**(-4\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(6\/19)\/((((y*(y\/(y*((y\/((y**(-2\/9)\/y)\/y))\/y)\/y))\/y*y)\/y)\/y)\/(y\/(((y\/(y\/y**(-2\/23)))\/y)\/y))) assuming y is positive.\nAnswer: y**(42383\/7866)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2404, 9152, 20262, 35740, 55592, 79824, 108442?\nAnswer: 141452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*m - 90*m = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*x + 82. Let d = x + 44. Solve 3 = -2*n - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 45 = 4*j. Suppose 0 = -2*h - 2*n + 5 - 3, j = -h + 3*n. Let o be h\/(-6) - (-22)\/(-4). Sort o, 5, -4 in descending order.\nAnswer: 5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (11 - (5 - -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -938*y + 768*y + 2689 + 541 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9 + 44\/12. Suppose -3*c + 5*c = 8. Suppose -2*y + 20 = 4*m, 0 = c*y - 4*m + m + x. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:23 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 - 1 = -2*s, -3*s - 12 = 0. Suppose 5*j = 2*r - 0*j + 4, -3*r - 6 = 5*j. Calculate the remainder when 14 is divided by (-21)\/w + r\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*18\/(-50)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -s - 5*z, -4*s - 15 - 17 = -2*z. What are the prime factors of 4 + s*(-2086)\/21?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6994 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/864 and -139\/90?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5810623 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + 1) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300345113 - 5?\nAnswer: -300345122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3151 - 1108?\nAnswer: -4260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45446.69km in meters?\nAnswer: 45446690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6111*o + 9. Let j(x) = 9167*x - 14. What is 5*j(v) + 8*l(v)?\nAnswer: -3053*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4 - 2*k - k**2 - 5*k + 2*k**2 - 3. Let z be v(4). Let x(s) = -3*s - 14. What is the tens digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*v + 68265, 0 = -31*v + 33*v + 4*f - 27306. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Suppose 3*u = o*h + 23, -1 = -u - 0*u - 5*h. List the prime factors of (51\/u)\/((-2)\/(-4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)\/(-2)*-2. What is the third derivative of 35*o**3 - 35*o**3 - 2*o**2 - 5*o**4 - o**j wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/(3\/(-18)). Let r(h) = h - 7. Let k be r(a). Let z be (1 + -1)*1\/1. Solve -d - k*d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -261\/5*z**2 + 3\/5*z**3 + 1161*z - 5547\/5 = 0.\nAnswer: 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = r - 21. Let j be 274\/r - -1 - 3. Let x = 13\/10 - j. Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.18 + 170.08. What is t rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/4 - -8) + 1*-163. Let m = x - -177. Let c(t) = -t**3 + 12*t**2 + t. Calculate c(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16718807 and 3.\nAnswer: 50156421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788 divided by -697?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1026 and 171?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 13*t + 26. Let q be w(6). Suppose d = -4, 0*b - 4*b = -d - q. Solve 2*m - 7*m - 20 = -5*r, 3*m = b*r - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 12*o - 34. What is the third derivative of -127*t**2 - o*t - 6*t + 8*t - 6*t**5 wrt t?\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let a(n) = 4841507*n**2. Calculate s(a(v)).\nAnswer: 9683014*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242313 is divided by 2689?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + -7 + -2)\/1. Let h be 2\/6 - (-485)\/3. Suppose r = -t + h - 52. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 5*k + 30, 2*k + 6*h - 10*h - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -189*n**2. Let d(i) = -5*i**2. Give d(f(a)).\nAnswer: -178605*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**3 + 21*c**3 - 10*c**3 - 5*c**3 - 93*c**2.\nAnswer: 25*c**3 - 93*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/7 < 4.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let v = 29 + -40. Let w(g) = g**2 - 6*g. Let q(c) = 6*c**2 - 31*c. Let i(s) = v*w(s) + 2*q(s). Let j(d) = 2*d**2 + 5*d. What is m*i(n) - 4*j(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*t - 10 = 5*t, 5*r + t - 6 = 0. Suppose -j + 3 + r = 0. Solve -j*b = -b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 52. What is the units digit of ((-3 - -197) + v)*(-1)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i = 11*i. Solve -4*m + 11 + 1 = i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20526\/13 or 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 214916856 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 876*k**3 + 184*k**4 - 2501 - 1736*k**3 + 860*k**3 wrt k.\nAnswer: 736*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.072 - -0.07256. What is g rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-156)*((-6)\/(-8) - (-133)\/4).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 15*n - 21. Suppose i + 5*r + 26 + 8 = 0, 4*i = 5*r - 36. Determine u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4250.3 and -16?\nAnswer: -68004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18541 and -22?\nAnswer: 18563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0606 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 2*c, -l - 3*c + 0 = -4. Solve 4 = -l*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1334, -1302, -1254, -1184, -1086, -954, -782?\n\"Answer: a**3 + 2*a**2 + 19*a - 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376429 by -32.\nAnswer: -376429\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 2677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2820 and 59\/2820.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 + 48 + ((-70)\/(-21))\/((-4)\/6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let f(l) = l**2 - l - 1. Let r be f(k). Let i be (r + 3)\/(4\/10). Solve -g + 20 = -i*d, -3*d - d - 7 = g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.0843 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7199899 milliseconds to nanoseconds.\nAnswer: 719989.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125d (base 16) to base 6.\nAnswer: -33433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -377 + 361 + (100 - 0 - (1 + 6))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323462.3 days to microseconds.\nAnswer: 27947142720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 90. Suppose 0 = -z + w + 27, 0*z = 2*z + 2*w - 66. What is the lowest common multiple of h(z) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 7*z + 10*l = 2*z - 80, -3*z - 3*l = -5*z + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -413200.27 rounded to the nearest one hundred?\nAnswer: -413200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 10. Let s be z(-6). Let t = s + 1. Let c(i) = i**2 - 3*i - 5. Let u be c(4). Sort t, 1, u.\nAnswer: t, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 1 - 10. Suppose r*m = 6*m - 15. Suppose 2*g = m*g - 231. Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12999*k + 687. Is c(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/126)\/(1102\/4788*18).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + b**2 + 7*b + 10. Give s(3).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/7)\/q**(11\/3))\/(q\/(q*(q*q*q**11*q*q)\/q)*q**12) assuming q is positive.\nAnswer: q**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 25*q**2 - 205*q + 5. Determine u(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2650.2124 rounded to 0 dps?\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + n**4 + 33*n**2 - 34*n**2 + n + 3*n**3 - 2*n to i*n**2 + x*n + u*n**3 + v + f*n**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + 14 + -4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 3. Let v be (4\/(-10))\/((-1)\/15). Let m(p) = p + 1. Let l(h) = v*m(h) + r(h). Differentiate l(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 18959248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12436.1000060987 - -12436.1. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202715090 and 7390?\nAnswer: 7390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15801155 - 32636770 = 0. Suppose -20512415 = 2*b + j. What is b rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l + 1. Let r = 2 - 0. Let f(u) = 3*u. Let a(i) = i. Let q(d) = 3*a(d) - 2*f(d). Determine r*n(z) - 9*q(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Differentiate 1734232*i*s*z**3 + 4*i*s*z - 3*i*z**2 - 44*i*z - i - 3*z**3 - 12*z**2 wrt s.\nAnswer: 1734232*i*z**3 + 4*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27610190 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d - 5. Let n be x(-4). Suppose 5*k + 0 - 15 = 2*z, 0 = 2*z - 2*k + 18. Let v = z + n. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 205886 and 205889 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 132?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, -8, -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-6 + -1 + -259). Let w = 274 - b. Solve -w*j - 20 = -7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/11 + -45\/22. Let n = -21\/10 - c. Is -0.41 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 103 - 112. Let t(c) be the third derivative of c**5\/15 + c**4\/24 - c**3\/6 + c**2. What is t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -x. Differentiate -6 + 2*k**2 - x*k**2 + 2 with respect to k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/132, -30, 8\/3?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/451 + -50151\/4510. What is the common denominator of -13\/20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(-6)*-1*10?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203*q**3 + 1422 + 67*q**2 - 61*q**2 - 6*q**2 wrt q.\nAnswer: -609*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdkih. Give prob of sequence id.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/(41\/615). Solve -v = 5*o + 2*z, 4 = 5*z + 29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49096964*c + 49096964*c - 8*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/6 + o**2 + 3. Let t(i) be the second derivative of q(i). Let a(z) = -z - 1. Calculate -2*a(b) + 4*t(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2536 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 593 = 5*h - 92, 4*h - 3*m - 555 = 0. Calculate the greatest common factor of 60 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1729)\/266)\/(((-10)\/(-4))\/5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -59\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 78461 - 36269. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370 - 368. Let y be -2 - t - (26 - 36). Solve -y*i - 14 - 16 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let q = 18 - 15. Give x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1567.2 - 1489.2. Which is the second smallest value? (a) -9 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(684) + -5 - 5*((sqrt(684) - sqrt(684)*1) + 0)**2.\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8440306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.086 and -117.\nAnswer: -10.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255551, 255557, 255565, 255575, 255587?\nAnswer: 255601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -12 + (634 - 661)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 114. Let h = v - 6. Let i = h + -26. Solve i*f = -4 - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 78 + -53 + (1 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 42. Let j = b + 13.999856. What is j rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxmuxmurmrdxumddumum. Give prob of picking 1 d and 3 m.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -11 + 23 + -5 - 5. Sort 158, 1, u in descending order.\nAnswer: 158, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1358 - 0.1358. Suppose 3*q - i = -0*i, q + 4*i = -13. What is the closest to q in -4, 16, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 304 in -2\/17, -4, 2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33252 and 1296828?\nAnswer: 1296828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 825 - 551. Calculate the remainder when z is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 14*h**2 - 13*h - 30. Let n be r(15). Suppose u + n*u = 5. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22623111, -45246223, -67869335, -90492447, -113115559?\n\"Answer: -22623112*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99355199 to the nearest integer?\nAnswer: 9968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1975, 1974, 1973, 1972, 1971?\n\"Answer: -h + 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524 + -524. Solve k*z = 4*z - q - 8, 3*q + 8 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p + 38. Let v be w(12). Which is the biggest value? (a) 4 (b) -0.4 (c) -5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 84. Suppose 4*z = 5*i - u, -4*i + 2*z + 59 = z. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*b**5 - b**4 + b**3 - 636*b**2.\nAnswer: -9540*b**2 - 24*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31500864 divided by -463248?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 = -3*w - 4*l, -575 = -3*w - 0*w + 4*l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 20*h + 372192 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 206851?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139996091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 2710?\nAnswer: 18970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/60 + k**4\/6 - 2*k**3\/3 - 20*k**2 - 1. Let q(i) = -i + 6. Let g be q(3). Suppose -3*x + g = -6. Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3925128 = 946878. Let q be (-3)\/12 - p\/8. What is q rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 25*q**4 - 11 + q - 24*q**4 to f*q**4 + z*q + r*q**3 + g*q**2 + t and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27100 by 2.\nAnswer: -13550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2 - 58 = 0. Let t = d - -27. Let u = t - 33. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*69\/46\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 1 = -u. Suppose -276*s - 63 = -136*s - 143*s. What is the tens digit of u + s + 19 + -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 18*x**2 - 199*x - 65. Let s be z(8). Let q(u) = -14*u + 19. Give q(s).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i + 3. Let t be n(0). Suppose -w + 2*b + t = 4, 2*w - 22 = -4*b. What is the remainder when 50 is divided by 1*-2 - -3*w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 565, 570, 577, 586?\n\"Answer: f**2 + 2*f + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 48. Suppose 2*h + 2 = w. Let n(x) = -4*x - 2. Let m(g) = -5*g - 3. Let p(s) = 3*m(s) - 2*n(s). Let c(o) = -3*o - 2. Determine h*p(j) - 5*c(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 61. Let w be (-300)\/(-1)*r\/(-30). What is w rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3075 divided by -3?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10080 and 15612?\nAnswer: 13114080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 + -155. Let t = -196\/5 - -39. Let g = -398\/9 - -134\/3. Sort t, g, o in descending order.\nAnswer: g, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1833 by 5.\nAnswer: 1833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 71, 255, 617, 1217, 2115, 3371?\n\"Answer: 10*s**3 - s**2 - s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(5\/9)*v)\/v)\/(v\/v**(1\/9)*v)*(v**(3\/8))**(2\/51))**25 assuming v is positive.\nAnswer: v**(-1625\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2758 + -79980\/29. Which is the second smallest value? (a) -33 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 223. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.5 + 13. Which is the third biggest value? (a) 0.4 (b) l (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 61, 81, -2 in increasing order.\nAnswer: -5, -2, 61, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505954847?\nAnswer: 11, 61, 3734657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 8 = -c, 4*g + 1 = -c - 0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1758, -2870, -3984, -5100?\nAnswer: -6218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 917041343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.148497 and 12445.\nAnswer: 12460.148497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8342.\nAnswer: 2, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/7 + 197160*f**3\/7 + 591498*f**2\/7.\nAnswer: -2*f**2*(f - 98583)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/20 - 8*n**3\/5 + 96*n**2\/5 - 15*n. Factor g(t).\nAnswer: 3*(t - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344442*h**4\/11 - 212066*h**3\/11 - 123232*h**2\/11 - 9304*h\/11 + 160\/11 = 0 for h.\nAnswer: -2\/7, -20\/177, 2\/139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-3*v + 3*v - v)*(0 - 1 + 0 + 3 + 3 + 4 - 1 + 2 - 3 - 2 + 4 + 0 + 3 + 0 - 1 + (-3 + 0 + 5)*(-2 - 2 + 2)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-17\/2))**(-34)*(m**(-1\/31))**42)**(-10\/9) assuming m is positive.\nAnswer: m**(-89170\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363) + -1 + 0)*1.\nAnswer: -3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2 = -2*z, 3*c = z + 4 - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)*1 + -128. Let q = b + 217. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 3840*c - 1940*c + 5*c**4 - 1994*c - 3*c**5 + 3*c**5 + c**5 + (-3*c**2 + 0*c**2 + c**2)*(3*c**3 - 6*c**3 + 2*c**3) + 0*c**4 + 0*c**4 - 2*c**5.\nAnswer: -c**5 + 5*c**4 - 94*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 - 1419 = 5*o. Suppose -10*i + 727 - 87 = 0. What is the highest common divisor of i and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 + -3.1. Which is the nearest to 1? (a) f (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 39 + (-14 - 2 - -7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4552+621293\nAnswer: 616741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 287 = -41*c. What is the smallest common multiple of c and 485?\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 151434*j + 1911021363.\nAnswer: 3*(j - 25239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19296, 19301, 19306, 19311?\nAnswer: 19316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r)**(31\/3))**(-15))**(2\/3) assuming r is positive.\nAnswer: r**(-310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/130)\/(((-4)\/(-2))\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 2. Let c be h(-2). Suppose c*w - 1 = 13. Let g = w + -5. What is the lowest common multiple of g and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 374.31.\nAnswer: 3368.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.951 - 4573587.\nAnswer: -4573553.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o - 108. Let b = 50 + o. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*j**4 - 2*j**2 + 2*j**2 + 2*j - j + 2*j**2 - 27*j**4 to k*j**3 + y*j + n + l*j**4 + t*j**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:58 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 618621699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.52 in -0.102, -1, -18\/5?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 - 525915*d + 2103580 = 0.\nAnswer: 4, 105179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587, 1069, 1541, 1997, 2431, 2837?\nAnswer: 3209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 9, k: 1, d: 9}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31298 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 742500 divided by 3750\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323063 is divided by 339?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 238? (a) -2\/13 (b) -1\/7 (c) -3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/60 + d**5\/30 + d**4\/12 + d**3\/6 + d**2. Let v = -5 - -4. What is k(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-27 + 12 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*c**2 - 338*c**2 - 330*c**2 + 686*c**2 + 320*c**2 - 12*c**3 - 2*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - 18*a**3 + 3 - 5 + 48*a**3.\nAnswer: 30*a**3 - 15*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78603 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20739322.8 rounded to the nearest ten thousand?\nAnswer: 20740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -997 or -995?\nAnswer: -995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*(-1)\/(7\/12). Let m(p) = p**3 - 10*p**2 + 3. Let c be m(10). Let o be ((-8)\/c)\/(8\/k). Solve 0 = -o*s + 7 + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 2. Let k be f(2). Is k at least as big as 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 9*j - 6 = 0. What are the prime factors of ((-1085)\/60 - j\/4)*-6?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3605*s + 222*s**2 + 2890*s - 223*s**2 + 3*s**3 + 2*s**4 - 2 + 2 to w*s**4 + u*s**2 + i*s**3 + l*s + y and give l.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 350 - (-1 + 15\/(-3) + 5). Suppose 2*k - 5*t + 5 - 3 = 0, 0 = -k + 4*t - 4. Find the common denominator of -63\/4 and k\/(-26) + (-1623)\/v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -17. Suppose 0 = -9*b + 4*b + 3*x + 189, 4*b - 2*x - 150 = p. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2 (b) 5 (c) -171 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)\/y)**(3\/23)*y**2\/y**2)\/((y\/y**2)\/(y*y\/((y**(-1\/9)*y)\/y)))**(-42) assuming y is positive.\nAnswer: y**(-9022\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.635 and 0.5?\nAnswer: -0.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glgo when four letters picked without replacement from {u: 3, l: 3, g: 4, o: 1, m: 1, w: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 991750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 - (-145946)\/(-252). Let n = -756 + 182. Let q = x - n. Find the common denominator of q and -41\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 13. Let x be (5\/5)\/((-3)\/(-42)) + -5. Give a(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmommljj. Give prob of sequence om.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*6\/72*-10*20 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -47) + -57 - -52?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 3456\/135)\/(33\/((-1980)\/(-312)))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 99.9. Suppose 0 = -5*j + 3*g - 16, 0*g + 4*g = -4*j. Which is the closest to x? (a) j (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:28 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 691 + -691. Let w be 1\/(-5) + 162\/690. Which is greater: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 + 287.000561. What is z rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 58*j**2 + 164*j + 93. Calculate l(55).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-c - 2 + 2) + (4 - 1 - 2)*(-1 - 182*c + 266*c - 203*c).\nAnswer: -120*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/56220 and 55\/4.\nAnswer: 56220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, 0.3, 15, 1.4755 in decreasing order.\nAnswer: 167, 15, 1.4755, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2046 and (3\/270*-5)\/(2\/438).\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d + 1. Let t(f) = -15*f + 3. Calculate -10*m(c) + 4*t(c).\nAnswer: 20*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1 - 2 - 25072*v**2 - 5.\nAnswer: -25072*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 z when four letters picked without replacement from {b: 1, j: 2, p: 3, r: 1, z: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + -14322456?\nAnswer: -14322543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 12781 - 12823 + 38385 - 12781.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 8*d**2 - 12*d + 24. Determine s(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (428\/(-6))\/((-6)\/9). Suppose 4*y + 210 = y. Let i = n + y. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -592 - -884. Calculate the smallest common multiple of 2 and v.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 18 = -5*g. Let i = 0.72 + -0.82. Which is the closest to i? (a) 1\/9 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18034 (base 11) to base 3.\nAnswer: 1021202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -459 - -506 - (0 - -4) - (1 + (0 - -1))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 8*m + 10. Let l be a(5). Let q(f) = -f**3 - 6*f**2 - 6*f - 6. Calculate q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206 - (48\/26 - (-4)\/26)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i + 236. List the prime factors of m(11).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10086757.\nAnswer: 71, 142067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 591588258*s**6*u - 70*s**2 + 23*s*u + 30485*u wrt s?\nAnswer: 70990590960*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558862 is divided by 347.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -668 * 0.258\nAnswer: -172.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 4*y + y + (4 - 2*y - 4)*(-1 + 3 + 0) + (-2*y + y + 0*y)*(-4 + 2 + 4).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037893 (base 11) in base 2?\nAnswer: 110111101110001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 not equal to -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 16}. What is prob of picking 2 m and 1 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 61. Let x = -9 + h. Solve -4*r + 20 = -x*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*v**3 + 607*v**2 - 1160*v**2 + 553*v**2.\nAnswer: -550*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1193, 2401, 3595, 4769, 5917, 7033, 8111, 9145?\n\"Answer: -j**3 - j**2 + 1218*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16684 and -0.0955?\nAnswer: 16683.9045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:59 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 30 + 0)*(-3 + 2 + 2)*(-2 - 2*h + 2).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 4*j - 2 - 5*j + 2*j + 0*j.\nAnswer: -10*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148 - -2?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-3)*60\/8. Let q be (-64)\/(-3) + 14\/21. Calculate the highest common factor of k and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4.2. Let i = -3 - 0. Let s = r + i. Which is the second smallest value? (a) -1\/7 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212 - 211.7. What is the third biggest value in t, -1\/13, 1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9877.02334 to 1 decimal place.\nAnswer: -9877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -2\/723?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -28, 0 in increasing order.\nAnswer: -28, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 3*d**2 + d. Let n be x(3). Suppose -4*t - n*z + 481 = 0, -z - 243 = -2*t - 0*t. What is the greatest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g + 4*w + 16, 11 = -5*g + 4*w. Let v = -2 - g. Let d = 3 - v. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, i: 6}. Give prob of picking 1 s and 1 i.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -56 (b) 293 (c) -1\/7 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148061 and 11.\nAnswer: 1628671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 349?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111.8020295 * 0.1.\nAnswer: 11.18020295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172943*z + 172938*z + 530 = 0, 0 = 2*k - 4*z - 25 + 459 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x + 10. Let s = -6 - -8. Suppose -s*y + 5 + 1 = 2*d, 4*d = -3*y + 12. List the prime factors of p(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = -8*h + 437. Let n(p) = -p - 13. Calculate the remainder when 48 is divided by n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - (-3 + 10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/15, -1, -8, 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -58543 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -35*g**4\/24 + 13*g**3\/3 + 11*g**2 - 45. Let p(z) be the second derivative of v(z). Differentiate p(r) with respect to r.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - (-41 + (82 - 14))) + -7\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 132 (b) -0.3 (c) 1.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 38.8, 2 in ascending order.\nAnswer: -2, 2, 38.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-1 + 3*t + 1)*(-844 - 119 + 351).\nAnswer: 5508*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 514660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 342*s + 2970. Calculate k(-9).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2058233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 6*p - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 + 12*r + 8*r - 20*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 693 - 685. Let j be 2*b\/((-128)\/(-216)). Solve -5*t + j = -3*r, -5*t + 1 = 2*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 12*k**2 - 31*k + 33. What is f(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**4\/4 - 2*f**3\/3 + 11*f**2\/2 - 15*f - 10. Let a be d(6). What is the highest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204864 and 1089.\nAnswer: 6760512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -10. Let w(u) = u**3 - 8*u**2 + 3. Let y be w(8). Calculate the remainder when 53 is divided by (h\/y)\/((-3)\/(-33)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((70\/(-55))\/(-7))\/(-175*(-54)\/1386)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244\/2 - (-48)\/6?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11.5. Let i = -356015.2000112 - -356017.7. Let y = z - i. Round y to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 1. Let f(o) = 4*o**2 - 3*o - 3. Let v(q) = -35*a(q) - 5*f(q). Factor v(m).\nAnswer: 5*(m - 2)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 + 459\/68. Let 11*x - 24 - 16*x**2 - x**3 - 39*x + k*x**2 = 0. Calculate x.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x - 6. Let v(l) = 8*l - 6. Give -5*t(g) + 6*v(g).\nAnswer: 3*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*a - 4*d, -14 = -8*a + 4*a - 2*d. List the prime factors of a\/(-4) - (-73)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34877 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: What is next in 3600, 24702, 80796, 189378, 367944, 633990, 1005012?\nAnswer: 1498506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5\/15 + o**4\/12 + o**3\/9 - o**2\/6 - 8. Solve m(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2*c - c. Let g(z) be the first derivative of z**5\/60 + 2*z**3\/3 + 2. Let s(h) be the third derivative of g(h). Calculate x(s(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788389.\nAnswer: 3, 491, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 7*c - 5. Let y(r) = -3*r - 5*r + 30 - 10 - 14 - 5*r**3. Let t(x) = x**3 - 5*x**2 + 6. Let z be t(5). What is z*w(l) + 5*y(l)?\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 70*w - 2. Suppose 22 = 2*r - 3*u, r - 11*u = -6*u + 4. What is the remainder when s(1) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -98, -3, 0?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in 36, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 80, 247, 492, 821, 1240?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4165192377.11209 + 4165209217. Let l = -16820.98790923 + o. Let u = 18.9 - l. Round u to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 10. Suppose 3 + 18 = w*d - 2*v, -v = d - 7. Solve 0 = d*b, -5*a - 2*b - 25 = -0*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 - -269. What is the closest to 21 in i, 3, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + t + 62 = 0, 5*t - 214 = -3*n + t. What is the greatest common factor of n and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1001, 989, 977?\n\"Answer: -12*u + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*k + 1 = 0, 1414 - 1434 = -4*f - 4*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -6 - (126\/18 + 12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - -1.99. Let j = 2.05 - v. Let q = 0.23 + j. What is q rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 4. Let j = -0.9 + s. Let p = -7 - -5. What is the nearest to 1 in p, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 i when three letters picked without replacement from {a: 1, j: 4, i: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from kzzd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/12*(0 - -9). Suppose j - 6 = 3*a, -8*j = -3*j + 4*a - 11. Factor -m**2 - d*m + m**j + 6*m.\nAnswer: m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 - 2*b**2 + 3*b**2)*(-2*b - b**2 + 4*b - 10*b) + b**2 - b**2 - 4*b**4 as r*b**2 + f*b**3 + m*b**4 + k + v*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 13 + 23. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 2*f - 2. Let w be x(-1). Let g be -3*((-17)\/(-3) - 4). Suppose -q + 75 = -4*p + 73, 10 = -5*q. Sort w, p, 0, g in ascending order.\nAnswer: g, p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149 + 1149 + 11*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 7. Let a be k(-4). Let i be a - 2 - 3*-1. Factor -3*d**3 - 13*d + 8*d - 19*d - 15*d**i - 12.\nAnswer: -3*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 - 2*k - 1. Let q be 4088\/(-584) + (-20)\/6*24\/(-10). Calculate g(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8338 less than or equal to -8549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 7) to base 16.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1.2. Let y = 0 + s. Put y, 1\/10, 1\/6 in ascending order.\nAnswer: y, 1\/10, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 20 = -4*v, -5*v + 17 = -2*k. Solve -4 = 4*o + k*f, 0 = 3*o - 7*o - 3*f - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481930 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -211*s**4\/12 + 187*s**3\/3 + 422*s. What is the second derivative of n(k) wrt k?\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153310 is divided by 196?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35461 is divided by 303?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:30 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/2 - 152*x**3 + 12969*x**2\/2 - 34273*x + 27940 = 0. What is x?\nAnswer: 1, 5, 44, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 4*p = 32, -r - 5*p + 5 = 0. Let t = r - -11. Which is bigger: t or -3\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*z + 481 + 104. Suppose -2*t - t = 3*q - 9, 2*q = 4*t - 18. Which is the biggest value? (a) 3.4 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.157 * -0.14\nAnswer: 0.02198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 f when three letters picked without replacement from vuffqmv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31366618487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1210782*0.05\nAnswer: -60539.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - -20.13. Let o = -23 + d. Let n = 16 - 20. Which is the nearest to 0.1? (a) -3\/4 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6854 from -0.8.\nAnswer: 6853.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 134. Let p be i(0). Let t = -935\/7 - p. Which is the nearest to -3\/2? (a) t (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.5642 + -0.4358. What is the closest to 2\/3 in 1, d, 0.071?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000035245505 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 + 2*i + 12. Let c(f) = 66*f**2 + 27*f + 156. Suppose -a + 2 = 4*s, s = s - 3*s. Calculate a*c(t) - 27*k(t).\nAnswer: -3*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(117)*2*-1)\/(5*(sqrt(441) - 3*sqrt(441)*-1)).\nAnswer: -sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4242*r + 92 = 4288*r. Solve -4*m = -y - 23, 0 = -r*y - m - 35 + 43 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let k be (f - (-5)\/(-3))*15. Suppose -19 = z + k*u, -3*z - u - 4*u = 7. Calculate the smallest common multiple of 2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -777825 and -1.\nAnswer: 777825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (172\/43)\/(42\/(-3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 600 = -17*u. Calculate the remainder when u is divided by (-10 - -1)\/(-1 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 91\/49 - 1\/(-7). Let o be (-1 - -3)\/(1 - 0). Solve -o*p + d = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5918?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5258 - 525853\/100. Let i = 533\/108 - -76\/27. What is the common denominator of r and i?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3249, 6368, 9487, 12606, 15725?\nAnswer: 18844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16*d**2. Let u(n) = -1633*n**2 - 1507*n**2 + 2 + 3222*n**2. What is u(r(w))?\nAnswer: 20992*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.13 - -2.7. Let s = n + -2.31. Let m = -0.26 + s. Which is the nearest to 1? (a) 1 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5144340?\nAnswer: 2, 3, 5, 83, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -264, -539, -834, -1155, -1508, -1899, -2334?\nAnswer: -2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/8, 5, -6741, -0.25?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:20 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13404 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 10) + (-12)\/9*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -83. Suppose -q*p + p = -80. What is the greatest common divisor of p and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 392369 to the nearest one thousand.\nAnswer: 392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025091737 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 1. Calculate r(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*p + 4*y + 10, 0 = p - y - 13. Suppose -n = 4*j + n - p, -2*j - 2*n = -10. Suppose -j*q - 2*q = -84. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/((-12)\/(24\/(-4)))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 19 - 27 + 8.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/110 - 6\/55. Let y = -144 + 143.86. Put y, i, -3 in increasing order.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101212022201 + -1200?\nAnswer: 101212021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 23. Suppose 18 = 4*x + v. What is the lowest common multiple of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 543 - 2*r**2 - 327 - 4*r - 324 to t + o*r**2 + n*r and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -4 + -8 + (3 - 8) + 1 + 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*n + 688*n - 2857 + 25 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 2*q**4 - q**4 + (-82*q + 14*q + 41*q)*(3*q**3 + 4*q**3 - q**3) + 2*q**4 - 3*q**4 + 3*q**4 as n*q + k*q**4 + s*q**3 + y + r*q**2 and give k.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 5. Let u be i(-1). Is 28 a factor of (-4894)\/u + 408\/476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 3b7?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.94 - -40.94. Is x bigger than -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40328300*j**5 - 21565728*j - 2 wrt j?\nAnswer: -806566000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*f - 4584 = 470*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j - 81. Factor -9*g**4 + 0*g**2 + 6*g**2 - 21*g**3 + j*g**4.\nAnswer: 3*g**2*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -g - 3*f, f = -2*g - 3*g + 63. Solve 2*r - 6*r = -3*w - 10, 5*w - 2*r = -g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/4 > -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338444, -338449, -338470, -338513, -338584, -338689, -338834, -339025?\nAnswer: -339268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 1 = -l - 5, 66 = -71*l + 65*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1. Let f(k) = k**2 - 8*k + 5. Let d(x) = 3*b(x) - f(x). Let p be d(7). What is the tens digit of -5 + 9 - (p + -35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 = v, -y - 4*v = -v - 1. Suppose y*b - 156 = 4*b. Calculate the remainder when 50 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -1, 8.\nAnswer: -3, -1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13954*c**2 - 17669*c + 17669*c.\nAnswer: -13954*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y - 27. Let u be (-128)\/20 - y\/10. Let j(k) = -k - 1. Let t be (1 + 3)*1\/2. Let m(h) = h**3 - 3*h - 2. Determine t*m(c) + u*j(c).\nAnswer: 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 6\/7*k**2 + 76*k + 0 - 1\/28*k**4 - 2\/21*k**3 + 1\/140*k**5. Solve u(y) = 0 for y.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35809903 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, p: 2, d: 4, i: 6}. Give prob of picking 1 d, 1 i, 1 a, and 1 p.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1148.13, 0.2.\nAnswer: 0.2, 3, 1148.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 704, 700, 696?\n\"Answer: -4*q + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96974\/70095 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g + 14*g + 70*g**2 - 7*g + 6*g - 24 + 66. Is y(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250855 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 + 16.2. What is the second biggest value in -0.4, 3, n, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 12 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0, -2\/27, -1, 1, 8 in decreasing order.\nAnswer: 8, 1, 0.6, 0, -2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.025 and 26.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 1055 = 1258. Let x = z + 259. Put 6, x, 1, -1 in ascending order.\nAnswer: -1, 1, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**4 - 3460*n**3 + 602010*n**2 - 1179900*n - 1785375 = 0. Calculate n.\nAnswer: -1, 3, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/6 - 34*h**3\/9 + 31*h**2\/3 - 10*h - 989. Determine w, given that l(w) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 161\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 286, -3, -4099.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50600*g**2 - 18916*g**2 + 1850*g**2.\nAnswer: -67666*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/7, 5, 0.3, 392.36.\nAnswer: -2, 0.3, 4\/7, 5, 392.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2497191 + 5862*q**2 + 2497191 in the form d + m*q**2 + x*q and give m.\nAnswer: 5862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120212 - 11212?\nAnswer: 102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 42 = 0. Suppose -4*u - 174 + 100 = -5*m, 0 = 3*m + 2*u - 40. Calculate the greatest common divisor of m and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003793 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 285832 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 - 104. Calculate the highest common factor of y and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 606058 - 38028*h - 606058 to the form v + c*h and give c.\nAnswer: -38028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111101011 + -10100?\nAnswer: -101100111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -60. Suppose 2*z = -8 + x. Suppose -z*y = -y. Solve y = b - 5*b + 2*f + 22, -f - 14 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*-5 + sqrt(68) - sqrt(68))) + 5 - sqrt(68).\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, x: 3, o: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(1700) + 1*sqrt(1700) + -1 + sqrt(1700) + 4*sqrt(1700)*-2 + -5 + -3 + sqrt(1700)*1)**2).\nAnswer: -81846 - 2160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z + 105. Suppose 39*a = 27*a - 84. Calculate t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392449876 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -88.82\nAnswer: -12.4348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1301 and 3097.2.\nAnswer: -4029457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.17998947 + -21.18. Round l to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/5, 12\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -2679, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 0 + -3 + (sqrt(1331) - (sqrt(1331) + -2)**2) + -5)*4.\nAnswer: -10720 + 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -20 - (-1323)\/147\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -41617497*x**2. Let g(y) = 2*y**2. Calculate g(p(j)).\nAnswer: 3464032113090018*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let v = 8305 - 8290. What is the closest to x in -2\/9, 0.3, -2, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471897710 to the power of 1\/2, to the nearest integer?\nAnswer: 66872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 85*w**2 - 2 + 55*w**2 as t*w**2 + j*w + p and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**0\/s)*s)**46*(s\/s**2)**(1\/22) assuming s is positive.\nAnswer: s**(3035\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (438\/24 + -1)\/(264\/64). Which is the biggest value? (a) -4 (b) -2\/9 (c) m (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/84 and -33\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1130552 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m + 4. Let x be (2\/(-2) - -1) + -2. Let t = x + m. Let w(o) = -4*o. Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from kwkwwkwwww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 8. Let t(l) = -2*l. Calculate t(s(h)).\nAnswer: 2*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Suppose -s + 23 = 5*g, -3*g + r*s = -g - 16. Does 12 divide (-7 - -97)*2\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 10*m**2 + 11*m + 3. Determine u(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25480579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -342 and 112407.\nAnswer: 112065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 110*y**2 + 31*y + 32. What is the remainder when j(5) is divided by 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4775927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11*v - 6289 = 6*v, 0 = 3*z - 4*v - 4709. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.82544 to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3 + a + 3.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23041379190.84 and -1.\nAnswer: -23041379191.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103391 by 4.\nAnswer: -103391\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:44 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**3 + 2868*u**2 + 1312*u + 12?\nAnswer: 36*u + 5736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f = 70*f - 24 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from ssssqqosnssaqqssscs?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * -20.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:29 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*t = 8*t - 8, -4*t = 0. Suppose -o*y = -4*y + 72. What is the least common multiple of (6 + -7)\/((-2)\/y) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/5 - 4132*w\/5 - 505856 = 0 for w.\nAnswer: -494, 2560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6706 + 2903696\/433. Let m = 19601297183\/43649287677 - 1\/100806669. Let f = v + m. Which is the closest to -0.1? (a) f (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**6*m - 2*j**4*m - 48*j**2*m + 10*m wrt j.\nAnswer: -1320*j**3*m - 48*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 - k**2 - 2*k - 1. Let y(t) = t**2 - 4*t - 6. Let u be y(5). Does 3 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 36394360*r - 36394364.\nAnswer: 4*(r - 9098591)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 130 + 130 - 9*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 3) + 71 + -60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h + 1. Let q(u) = -9*u**2 - u + 2. Let k = 0 - 1. Let z(p) = k*q(p) + 2*a(p). List the prime factors of z(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141259547.\nAnswer: 11, 13, 19, 51991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 66.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/185 + -4\/37. Let u be 24\/(-210) - (-4)\/10. Let p = 6.8 - 6.7. What is the nearest to 2\/7 in u, s, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -65. Let u = m - 34. Solve u*j - 2 = -3*d - 8, 2*d = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 165015*z + 330061. What is x(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and -297\/59 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 0 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 25230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*p**3 - 126648*p**2 - 152567*p + 54?\nAnswer: -510*p - 253296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 3 - (3 + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*o - 3 = -10, 3*p = 3*o - 12. Let w = -730 + 5121\/7. Is w != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, -0.08, -1\/133437, -0.5?\nAnswer: -1\/133437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 902419114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-385)\/110)\/((-1)\/(-2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**47*(((d**(-6)\/d)\/d)\/d)\/((d*d*d\/(d*d**3\/d))\/d) assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72479591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -594113*g + 4. Let s(j) = 4*j. Give s(z(o)).\nAnswer: -2376452*o + 16","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4929141? (a) 4 (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -37 + 34. Let w(k) be the first derivative of k**3\/3 - k**2\/2 + k - 12. Let s(m) = -m - 1. Give q*w(v) + s(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (0 - (-16 + 2\/(-2))). Let q be s + 21 - (26 - -1 - 3). Which is bigger: q or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 26*p**2 - 224*p - 640.\nAnswer: -(p + 8)**2*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 180*m**2 + 200*m + 24. Let s(h) = 60*h**2 + 67*h + 9. What is 3*o(w) - 8*s(w)?\nAnswer: 60*w**2 + 64*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/1260 + s**6\/90 - 2*s**4 - 31*s. Let x(i) be the third derivative of k(i). Factor x(y).\nAnswer: -2*y*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92*33.4.\nAnswer: 3072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 5951 = 84709 + 80836. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 4\/15*l**3 + 0 + 2\/3*l**4 - l + 0*l**2 - 4\/15*l**6 + 21\/50*l**5 - 5\/21*l**7. Determine h so that o(h) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*c + 60 = 0, x = 4*x - 3*c - 63. Let w(t) = -t - 44. Let r be w(-9). What is the smallest common multiple of ((-56)\/r)\/((-2)\/(-20)) and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26191, -52648, -79289, -106114?\n\"Answer: -92*d**2 - 26181*d + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10354?\nAnswer: 2, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1691.9 + 511.6614\nAnswer: -1180.2386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120220210020 - 12?\nAnswer: 22120220210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1946.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -144783000 to the nearest 1000000.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -45205, -2, -5, -3 in ascending order.\nAnswer: -45205, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-6)*(-96)\/((-128)\/4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72636.15 centuries in months?\nAnswer: 87163380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by -4978\nAnswer: 197\/4978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15922 + 27643. What are the prime factors of v?\nAnswer: 3, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45673271 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2016)*-2 - -2*(sqrt(2016) - (sqrt(2016) - -1*sqrt(2016))))\/(5*(sqrt(2) - sqrt(2)*-1) + sqrt(36)\/sqrt(2))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*b**5*d - 6*b**2*d**3 - 365*b*d**3 wrt b.\nAnswer: 1560*b**3*d - 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 3. What is the highest common divisor of 11 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162) + sqrt(162)*-1 + 0)**2 - (0 + sqrt(162))*6).\nAnswer: -54*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-5))\/(l**(-3)\/l)*l**(-8)*l*l\/l**(-3) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -5*m - 5\/2*m**2 + 0 - m**3 + 1199\/12*m**4. Let n be d(-5). What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-1 + 0))\/(-2). Suppose 5*w - 17 = o, -2*w = 2*o - z - 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)\/m*m\/(m**(-3\/5)\/m)*(m*m\/(m**(-1\/5)\/m)*m)**(-32\/7) assuming m is positive.\nAnswer: m**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32521553 (base 6) in base 11?\nAnswer: 606603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -202 + 227. Are d and 29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39458, -38691, -37412, -35621, -33318, -30503, -27176?\n\"Answer: 256*n**2 - n - 39713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -2*n, 2*w - 3*w - 4*n - 5 = 0. Solve 5*c + i = w + 16, 5*c - 11 = 3*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2. Let z(t) = 10*t - 4. Let n(y) = -2*y**2 + 14*y + 17. Let s be n(8). Let c(l) = -2*l + 1. Let h(g) = s*z(g) + 4*c(g). Calculate h(w(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, h: 1, x: 4, a: 3, r: 9}. What is prob of sequence xa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 2205?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 55537773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = 0. Suppose c = 5*w - w + 11, j = 2*c - 3*w - 12. List the prime factors of c\/(-2)*20\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -15, -155, -437, -909?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/5 + -61\/10. Let f = 11 + -22. Let s = f + 8. What is the third smallest value in -5, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 15190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (14 + 36) - ((-100)\/44 + 0)?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26098653 and 36519.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7693227 is divided by 1298.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80140 is divided by 106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (-5)\/(20\/(-5664)).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -5 + 1 + 18. Let b(l) = l**2 - 28*l + 155. Let x be b(7). Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 18*k - 2*k**2 + 5*k**2 + k**3 - 5*k**2 - 50 - 23*k. Let f be g(5). Factor -3\/5*d**3 + 0*d - 3\/5*d**4 + f + 0*d**2.\nAnswer: -3*d**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o - 152*o + 152150 = 0. Calculate the highest common factor of o and 1530.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/12*(1 + -15). Is u - 1\/(-1) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 79 (b) -0.5 (c) 0.2 (d) 2607 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/(1\/10). Suppose -2*a = -u*a. Suppose -1376*v - 35 = -1376*v - 5*k, 4*v + 4 = 4*k. Solve -v = -a*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**8\/2240 + 83*y**4\/6 - 399*y. Let c(h) be the third derivative of b(h). Let q = -1 - -2. What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 13*a + 2. What is the remainder when 0\/(-8) + 25\/1 is divided by q(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31544 divided by 153?\nAnswer: -31544\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234400410240 + 0?\nAnswer: -234400410240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**8\/672 + g**7\/120 - g**6\/240 - 11*g**5\/240 + g**4\/24 + g**3\/6 + 4*g**2 - 11*g. Find i, given that t(i) = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -6 in descending order.\nAnswer: 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-207)\/(-18))*(-4380)\/(-3650)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 46. Let h = 16.96 - a. Let o = h - -0.32. What is o rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 26*d - 122. What is h(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**6 + 2*u**5 + 0*u**5 - 8*u**5 + 42*u**2 + 4*u**5 wrt u.\nAnswer: 720*u**3 - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 5*n**2 + 11*n + 2. Let p(y) = -527*y - 3694. Let j be p(-7). Let s(b) = 6*b**3 - 7*b**2 + 17*b + 3. What is j*s(i) + 7*t(i)?\nAnswer: -2*i**3 - 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 1114.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 23. Let a be v(8). Solve 0 = -4*t - a + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8167 = -12*b - 115. Suppose -b*x - 14572 = -675*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 7*a + 3 = 0. Is -2\/9 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v + 18. Does 4 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) -0.04 (c) 18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85 and 746351.\nAnswer: 3731755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -133.91735?\nAnswer: 136.91735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53092, -424706, -1433374, -3397624, -6635984?\nAnswer: -11466982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.10834 + -0.05834. Put g, 0.4, -21, 0.25 in descending order.\nAnswer: 0.4, 0.25, g, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 16 = 4*c, -32*v - 5*c = -28*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 9. Let q be h(7). Let m(w) = -3*w**3 + 8*w**2 - 8*w + 4. Let c(i) = -2*i**3 + 4*i**2 - 4*i + 2. Let k(d) = -5*c(d) + 3*m(d). Determine k(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let t(u) = 0*u**2 - u + u - c*u**2. Let d(l) = -5*l**2 + 4. Let s(r) = -6*r**2 + 5. Let w(q) = 5*d(q) - 4*s(q). Calculate w(t(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118789083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*l**2 + l**3 - 30*l + 8 + 5*l - l**4 - 2 - 2 + 8.\nAnswer: -(l - 3)*(l - 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 1400*x\/3 + 245000\/3.\nAnswer: 2*(x + 350)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23478 and 7266?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5\/4, 2, -10 in decreasing order.\nAnswer: 2, 5\/4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 236*j**2 - 2*j - 5. Let z be g(-4). Suppose q - 1487 - z = 3*r, 21029 = 4*q - 5*r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149639 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: Does 15 divide 42114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -48 (c) 6 (d) 5\/4 (e) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7535 is divided by 689?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j - 2 + (-4 + 4 - j)*(-6 + 2 + 3) + (-2 - 2 + 2)*(1 - 2*j - 1))*(-80*j + 8424 - 8424).\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -264425900 to the nearest 100000.\nAnswer: -264400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 0.1 (c) 2\/57 (d) -0.9 (e) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/3 of a year in months?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 34. Give h(-22).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 5*p - 5*p**3 - 4*p**2 - 5*p in the form t*p**2 + v*p + d*p**3 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 - (3 + -8)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -8. What is the remainder when (-660)\/88*2\/(-3) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 92 = 1219*z - 2439*z + 1219*z, -5*z = -2*j + 24 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o*w**2 - 109361977*o*w + 2*o + 146835980*w**4 wrt w?\nAnswer: -6*o + 1762031760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*i + 9448 + 3261 = 2465 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 2. Let h(k) = -7*k - 7. Let r(z) = -3*z - 3. Let o = -104 + 102. Let q(m) = o*h(m) + 5*r(m). Let v(c) = 3*n(c) - 5*q(c). What is v(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1264 - -1264.2. Which is the nearest to 2\/5? (a) i (b) 128 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39292 is divided by 804.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3195 - 2983. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - 63. Let r = -63 - i. Let o = r - -10. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -157. Let u = 119.000000448 + k. Round u to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 1773144.\nAnswer: 40782312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-25) + (-732)\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - -3*(sqrt(500) - ((-5*sqrt(500))**2 + sqrt(500)))) + 1)*2*2.\nAnswer: -149996 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 - 26 = 0. Suppose 5*b - 5*m = 80, -2*m + 29 + 86 = d*b. Suppose 4*o - b = -3*u, -2*u + o + 0*o + 3 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 1318, 1977, 2636, 3295?\nAnswer: 3954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 674 (c) 3.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14*h - 14. Let a be j(-1). Which is smaller: 5\/122 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 15) in base 6?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*a - 3 + 4 - 8*a + (1 - 3 - 4)*(-a + 0*a + 0*a) in the form i*a + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 31615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((3 - 2)*-1). Suppose 0 = -4*j + 20 - 4. Let q be ((-8)\/20)\/(j\/d). Do q and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1327*f + 727*f + 673*f.\nAnswer: 73*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 2. Let p(q) = -q. Let n(h) = -d(h) + 3*p(h). Let m(v) = -4*v - 15. Let b(g) = 2*g + 10. Let s(z) = -3*b(z) - 2*m(z). Give s(n(x)).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1834988, 3669982, 5504976, 7339970, 9174964, 11009958?\nAnswer: 12844952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.9. Let t = 898 - 4486\/5. What is the nearest to h in -3, t, 11\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n. Let r(v) = 6*v**2 + 16*v + 16. Let a(u) = 2*u**2 + 5*u + 5. Let l(g) = -16*a(g) + 5*r(g). Give l(y(q)).\nAnswer: -98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2, -264, 0, 5 in increasing order.\nAnswer: -264, -4, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(1008) - sqrt(1008))**2 + 5 + (-1 + sqrt(1008)*4)**2 + 3)*4.\nAnswer: -384*sqrt(7) + 165356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2046900\/28050 - 2\/(-17). Does -2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*k**4 - 4*k + 546*k**2 - 26*k**4 - 65 + k**3 - 546*k**2 to r*k**4 + z*k**3 + w*k**2 + u + v*k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 249154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/40 - 1526\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 11560 = 7152. Put c, 6, 3 in descending order.\nAnswer: 6, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*j**3 - 2*j*x**3 - 523*j*x**2 + 7*x**3 + x**2 + 1072*x wrt j?\nAnswer: -189*j**2 - 2*x**3 - 523*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5732 is divided by 693.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 278531576 divided by 139265788\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 2*j**2 - 14 + 14 - 2*j**4 to d*j**3 + q*j**4 + t*j**2 + c + w*j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577422309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -225870 divided by 3\nAnswer: -75290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(847)*2*1.\nAnswer: 3 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k - 21*k - 145*k - 126*k + 2*k**2 + 41*k - 68*k.\nAnswer: 2*k**2 - 290*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(187)*-3)\/(3*sqrt(539)) - (((1 + sqrt(612))*2)**2 - (sqrt(612) + (sqrt(612) + 2)*-5)**2).\nAnswer: 3019*sqrt(17)\/7 + 7440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Let s = 287 + -272. Let g be (-5)\/(-15)*-3*s\/(-3). Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2*d**3\/3 + d**2 + 33*d. What is the tens digit of y(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 25 = -7*b. Suppose y = 2*z + 4 + 9, b = -z. Is (y*(-1772)\/18)\/(6\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2372 - 2437. Let v = -7 - -22. Let q = -13 + 18. Solve g = -q*d + v, -d - g + t = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (12 + -17 - (-2 + -17))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90\/1407707 or -1?\nAnswer: -90\/1407707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 (base 7) in base 11?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5. Suppose -m*s + 9 = -6. List the prime factors of -2*s*(-5)\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877649774 to the power of 1\/3, to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 b when four letters picked without replacement from aaaababaaaaaabaa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1768977.\nAnswer: 3, 7, 43, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.27 - 1.27. Which is the smallest value? (a) 2 (b) m (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 7*i - 5. Give v(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318666 + 142852 - 341833 = -11417*b - 60967 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in sixty-one halves of a micrometer?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/90)\/(1\/10) - -2. Let q = -8 + 15\/2. Sort i, 2\/11, q in increasing order.\nAnswer: i, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 0 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 16 + 11 - 2 + 2 - 5*v. Let f be s(5). Let l(c) = 4*c + 6. Let x be l(-4). Put x, 3, f in descending order.\nAnswer: 3, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f + 4. Let j be h(-5). Let o(m) = -37*m - 36. Let y = -770 - -769. Let t be o(y). Which is the second biggest value? (a) t (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94839.20066 - -94903.2. Let o = 62.008 + 1.992. Let q = o - l. Round q to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/4 + 197*z**2\/4 - 29405*z\/2 + 378856 = 0. Calculate z.\nAnswer: -368, 29, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.1776882 and -2.\nAnswer: -8.3553764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1\/5 (b) 2\/11 (c) -6\/7 (d) -2\/1393 (e) -2.1 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -1)*(-33)\/(-22). Suppose 2*t - 6 + 2 = 0, t = k*h - 25. Solve h - 4 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - 14) + 2 + 0. Let u(b) = -2*b - 1. Let s be u(-4). Suppose -s*t + d*t = 6. Is t bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 12. Let m be n(10). Let d be m + (2*12 - -1). Let h(j) = 3*j**3. Let x be h(1). What is the highest common factor of d and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -g + 4*u, 5*g + 2*u = 7*g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504374?\nAnswer: 2, 1252187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 57 = -0*v - 3*v, -38 = 2*y + 5*v. Let g be 1 - (y\/(-6) + -3). Let r be ((-6)\/(-28))\/((-6)\/32*-4). What is the nearest to -1 in -5, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3 - 1 - 3*i - i**2 + 10 - i. Let d = 20 - 37. Let q = d - -11. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 3\/10, 3\/25, 0.6, -5?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52427850 is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116302*p**4 - 78969 wrt p?\nAnswer: 465208*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1234, -5, 30, 1, -2, 3 in decreasing order.\nAnswer: 30, 5, 3, 1, -2, -5, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 1 - 3*j**2 + 7 - 3 + 2 in the form r*j**2 + m + k*j and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:57 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5460 divided by -3\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1 - 5)\/(-18 - (-3621)\/204).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4516*i + 6839 - 9037 = 18123 + 33871 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -274900 divided by 20\nAnswer: -13745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from wxxj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*a = -5*o - 527*a + 6, 2*o + 2*a - 28 = -o - 2*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5579\/1280 + 15\/256. Find the common denominator of 85\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 9 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 459 - 466. Let l(j) = -2*j**3 - 10*j**2 + 9*j. What are the prime factors of l(h)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 7*m + 3*m - 11, 0 = 2*y - 5*m - 43. Calculate the smallest common multiple of y and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/8)*h)\/(h\/h**19)*(h\/((h**(3\/7)*h)\/h))**(-3\/22) assuming h is positive.\nAnswer: h**(12195\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2167670 - 138418484.\nAnswer: -140586154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/4 + (-2)\/4. Let f = p - 6. Suppose -7*c - 169 + 183 = 0. Solve f = m + c*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -670, -1009, -1348, -1687, -2026?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22220021110?\nAnswer: -22220021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*384\/(-80)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94a - 0?\nAnswer: -94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1490*z + 1490*z - 35*z**3)*(-16 - 4 + 0)*(6 - 2 + 2) in the form u + r*z**2 + l*z + x*z**3 and give x.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300818 is divided by 3088?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5361290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2. Let n(l) = -l**2 - l - 1. Let s(h) = 3*h**2 + 6*h + 6. Let z(q) = -6*n(q) - s(q). Calculate z(c(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24923829?\nAnswer: 3, 7, 37, 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/40)\/(i**(1\/2)*i))**(1\/8))**(-5\/7) assuming i is positive.\nAnswer: i**(59\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/810*-9*10\/((-4)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 325623 + -1053623. What is i rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/52 + (-132)\/(-13). Solve 2*y + v = -0*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 32*x + 3706. Let n(d) = 91*d + 11125. Give -6*n(f) + 17*p(f).\nAnswer: -2*f - 3748","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63\/2 - 571\/18. Let t be 11\/(-22) + 2\/4. Which is the nearest to t? (a) 0.4 (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 597926 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 1, -14 in decreasing order.\nAnswer: 33, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 1, c: 1, f: 2}. What is prob of sequence fc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112211 (base 8) in base 4?\nAnswer: 11021102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)*z**(11\/5)*z)\/((z\/(z\/z**14))\/z**(-25)) assuming z is positive.\nAnswer: z**(-284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 1.1. Let m = a - -1.111. Let r = -0.0164 + m. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 1, -1, 51315, 4 in decreasing order.\nAnswer: 51315, 4, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*v + 43, -t - 4*t - 3*t + 4*v = -5*t + 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -395.01 - -390. Let u = 0.01 + d. Let l = -1 + 1. What is the smallest value in l, 2\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/6*15\/10. Is (-3)\/12 + (-853)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 30. Let l = 9 - 9. Suppose -9*j + v*j - 2640000 = l. What is j rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857472 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227751683 to the power of 1\/2, to the nearest integer?\nAnswer: 35039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:52 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 3 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/936 and 73\/139728.\nAnswer: 5449392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 3*a**2 + 15*a + 15. Let o be f(8). Let x = o - -1027. What are the prime factors of x?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/((-840)\/364) - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6749755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 403 + d**3 - 371*d**2 - 554 - 4*d**3.\nAnswer: -3*d**3 - 371*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 21*q**2 - 20*q + 46. Let y be d(-22). Solve 3*o - y = 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2795763, 5, 0 in descending order.\nAnswer: 2795763, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686940852 take away 1.46?\nAnswer: 1686940850.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {g: 3, i: 7, k: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-91)*(-7)\/2 - (-286650)\/4225\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 1 - 1*5. Let t(a) = -3*a + 4. Let c(j) be the second derivative of 7\/2*j**2 + 36*j - 2 - j**3. Calculate f*c(d) + 11*t(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + 3 + 6*(sqrt(325))**2.\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004958 to seven decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 115*d**2 + 6*d - 23. Is n(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9.8. Which is greater: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11765479 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 408612.\nAnswer: -1\/68102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l + 8. Which is smaller: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165104366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 1 + 1 + 3*u**2 - 5*u**2 + 4*u**2 + (18 - 18 - 2*u)*(-u + 4*u + 2*u) to the form d + i*u**2 + v*u and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 3*o**3 - 2*o**3 + (-o**2 - 2*o**2 + o**2)*(0*o - 3*o + 5*o) - 10*o**3 + 12 - 12 + (0 + 0 + 2*o)*(2*o - 2*o - o)*(2*o - 4*o + 0*o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i**2 - 53*i - 196. List the prime factors of a(23).\nAnswer: 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(-18)\/(-72) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.263 (c) 355 (d) 0.1 (e) -2 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -4 - (10 - 5). Does 3 divide 1\/(t\/12) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 3156833382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67 + 2bc456?\nAnswer: 2bc4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118\/245 + 4\/49. Which is the second biggest value? (a) 1\/7 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 54*k + 7 + 53*k)*(-2 + 2 - 4) in the form t*k + y and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 2*m, -2*m - 16 = -4*a + 2*m. Suppose -5*q + a*n = 6, -2*n = -4*q - 5*n + 20. What is the least common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 3136?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151417392 is divided by 211?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30491, 30541, 30589, 30635, 30679, 30721?\n\"Answer: -j**2 + 53*j + 30439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*s - 158*s + 82*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443*a - 1444*a + 4328*a - 1441*a + 36*a**2.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 274106417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78085 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252775, -252756, -252737, -252718?\nAnswer: -252699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from wxwwfwooffotfzwwwx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 3*g + 2. Let k be (-10)\/(-90) - (-28)\/(-9). Let v(x) be the second derivative of x**4\/2 + 8*x**3\/3 - 5*x**2 - 2*x. What is k*v(n) - 16*b(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/8*14\/(-4). Suppose 9 = 5*h + 2*o, 6*h - o = 3*h + 12. Solve -m = g - w, -h*m + 2*g = 2*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqyq when four letters picked without replacement from mjenyqq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(162) + 1 - sqrt(162).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4 + (-1 - 2 + 2)*(0 + 1 - 3) - 3 + 1 + 1 + 4 - 2 - 4 - 2 - 4 + 3)*(0*r + 5*r - 4*r) to the form t + j*r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 1 - 1)*(-1 - 1 + 4 + (5 + 0 - 4)*(-2 + 1 + 3) - 3 + 4 - 2) - 31 + 16 + 38 + d**2.\nAnswer: -5*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297800 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53621, 60, 0, 7 in descending order.\nAnswer: 60, 7, 0, -53621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 15. Let f(v) = -v + u + v**3 - 8 - 7. Determine f(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(((-1)\/50)\/((490\/28)\/(-7))).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10328 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88062916 a multiple of 5371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 5*i + 18. Suppose 4*s - 52 = i. Let y be (-1)\/(s\/(-24) - -1). Solve 4*u = -y, 2 = -5*o + u - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7 + 9 + -10 + 12 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0*m**2 + 0*m**3 - 1\/40*m**6 + 0 - m - 3\/16*m**4 - 3\/20*m**5. Factor v(x).\nAnswer: -3*x**2*(x + 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(3\/10)*a**(-1)*(a**7*a)\/(a\/((a\/(a*(a*a*a**(-2\/7)\/a)\/a*a*a))\/a)*a) assuming a is positive.\nAnswer: a**(279\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -4, -430130, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 136 - 17 = -41. Let y(a) = -a**2 + 23*a - 3. What is y(z)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15)*(-4 + 6 - 32). Which is bigger: -121\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6) - 89\/44. Let k = -1\/44 - i. Let p be 1*2\/10*-1. Which is the biggest value? (a) k (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 9 + 5 + (5 - 8 - 5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1518, -1695, -1872, -2049, -2226, -2403?\n\"Answer: -177*u - 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7 + (-10)\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.296 in -201.6, 1\/11, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q. Let j(x) = -34*x + 40. Let u(g) = -g + 4. Let y(k) = -j(k) + 10*u(k). Determine y(z(i)).\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -580216, -1160422, -1740628, -2320834, -2901040?\n\"Answer: -580206*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -5, -2, -3 in increasing order.\nAnswer: -5, -3, -2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*s + 955*s - 1960*s.\nAnswer: -93*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*g - 14, 0 = -s + 14210*g - 14209*g + 8 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156)*1*6 + sqrt(156)) - (sqrt(156) + (sqrt(156) + -1*sqrt(156)*1 - sqrt(156))))\/((3*sqrt(12)*-3 + sqrt(12))*3).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405242*l**5 - 33*l**2 + 463*l - 63987 wrt l.\nAnswer: 8104840*l**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 610944\/268160 - (-12)\/(-5). Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {y: 6, h: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-21) - -1*(-4 + 5). What is the second biggest value in x, -2, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66125455 to the nearest integer?\nAnswer: 8132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*u - 3611476 + 1462874. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 3. Let w = p + 3. Let m = 185\/3 - 61. What is the second smallest value in w, m, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/15 - 88*x**4\/21 - 50*x**3\/21 - 810*x**2. Factor h(t).\nAnswer: -4*(t + 25)*(7*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895 >= 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 277 = 251. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -208, -290, -350, -388, -404, -398?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -2*r + 26, 2*f = 5*r - 44. Let j = r - 3. Suppose 5*y - 30 = -j. Solve 0 = -y*g - 0 - 5, -4 = -t + 3*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - 110\/(-132)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.56911 millilitres in litres?\nAnswer: 0.00256911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - (-162)\/4095. Let f = -2\/13 + v. Suppose -2\/7*k + f*k**3 - 2\/7 + 2\/7*k**2 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.08, 5, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 + -7))\/(765\/(-1547) - 4\/(-7))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/6 + 129*x**2 - 8*x - 2. Let v(b) = 19*b**2 - 1 - 3*b + 3*b. Calculate t(v(a)).\nAnswer: 76*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41404510 (base 6) to base 14\nAnswer: -232b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/19 + -22\/95. Let g = 3.1 - 15.1. Let v = -10 - g. What is the smallest value in v, 12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 + 7*g**3\/3 - 5*g**2. Determine x(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 30*r + 2*v = -19, -2*r - 4*v = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111100000122 (base 4) to base 8\nAnswer: 25200032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzzzrzfzzzrmzz. What is prob of picking 2 m, 1 r, and 1 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21570 divided by 2157.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3 - 2*u + 4 + 2 + 6. Let q be (-82)\/(-451) - (-744)\/22. Suppose -2*m = -q + 20. Determine v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*(c**(3\/8)*c)\/c)*(c*c**(-5\/2))\/c assuming c is positive.\nAnswer: c**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -5*l**2 - 2\/5*l**5 + 4*l + 1\/2*l**4 + 14 + 2*l**3. Determine m so that i(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/7))**(1\/4))**(3\/40) assuming w is positive.\nAnswer: w**(3\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 124. Let u(r) = -10*r**2 + 8*r + 4. Let g(p) = 28*p**2 - 22*p - 11. Let t(d) = 4*g(d) + 11*u(d). Calculate i(t(x)).\nAnswer: 8*x**4 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -6\/60055 (c) 0 (d) -5\/2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42\/11 - -305\/77. What is d in n*d**3 + 3\/7*d**2 + 2\/7*d + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = -6*c + c, -2*i = -c + 9. Suppose -2*n = -137 + 145, 2*s = 3*n + 20. What is the closest to -2\/17 in i, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2798 divided by 18657?\nAnswer: -2798\/18657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-20)\/(-12))\/(10\/(-20)))\/(2\/33). Let f(i) = 3*i**2 - 2*i + 6. Let q be f(5). Let b = z + q. Calculate the highest common divisor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-2 + 1 - -1) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.96 * 80.\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25798*w + 3819841*w + 851942*w.\nAnswer: 4697581*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -15*d**3 - 89*d**2 - 102*d + 56 = 0.\nAnswer: -4, -7\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0080432 and -0.95?\nAnswer: -0.00764104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -425, -419, -399, -359, -293, -195?\n\"Answer: w**3 + w**2 - 4*w - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 - 6*d + 4. Let p be o(-6). Suppose -p*b + 224 = 2*v, 4*b = 4*v + 164 + 48. Let a = -33 + b. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.75 + -6.64. Let q = u - -29.8. Let g = 8.31 - q. What is g rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/253*(571032\/672)\/(-309).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4*x + 69*l**3*x - 2*l**2*x - 4*l - 2*x - 14 wrt l.\nAnswer: -12*l**2*x + 414*l*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9.94. Let i = 0.16 + x. Let t = -0.086 + i. Round t to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/3 + (50 - 28)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240241 (base 5) in base 16?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.5. Let h = 0 + 44. Let x = h + -43.8. Sort l, -2, x in ascending order.\nAnswer: -2, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 42\/(-30) - 3\/(-5). Let o be 0\/k*(-4 - -5). Solve 0 = -o*y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265343769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m - 4374 + 12654 = 13*m. Suppose 5*c = -0*c + 120. What is the highest common factor of c and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 9*m**2 + 15*m**2)*(437 - 437 + 43*m).\nAnswer: 989*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-160)\/(-28))\/(11*32\/(-1232))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -49551143134?\nAnswer: 49551143132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002881 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -22. Suppose -5*z = -4*r, -10*r = -11*r - 2*z + 13. What is the lowest common multiple of r and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (15 + 8 - 21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 121\/(-792) - 2\/(-12). Let m(q) be the third derivative of 0*q + 0*q**5 + 1\/360*q**6 - r*q**4 + 0*q**3 + 2*q**2 + 0. Solve m(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) + (-63)\/81 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 5. Let m = -1 + -5. Let o(z) = 5. Let w(x) = -1. Let y(t) = 2*o(t) + 11*w(t). What is m*y(n) + f(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1702*f**2 + 253*f - 253. Let s(x) = -27*x**2 + 4*x - 4. Give 4*p(v) - 253*s(v).\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 1. Let i be 21\/3*1 - 3. Suppose 27 = i*s + h, -5 = 2*h + 3*h. What is the units digit of q(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 3*r**2 + 11*r**2 + 6 - 7 to o + b*r + d*r**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 6. Let w be k(-5). Let m be -2*(-2)\/4*-3. Let t be (-1)\/m*(5 + 28). Calculate the greatest common divisor of t and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 8:08 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1507392 and -113\/54?\nAnswer: 4522176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1133, -4175, -9187, -16139, -25001, -35743, -48335?\nAnswer: -62747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 214*v**2 + 3 - 4 + 339*v**2.\nAnswer: 553*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 79*v**2 + 50*v - 398. Calculate f(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 30*f + 123 + 102 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -969, 0.1, 416?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0344 + 3.2824. Let p = -0.248 + y. Which is the nearest to p? (a) 0 (b) 1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g**2 + 15*g**4 - 21*g**2 + 16*g**2 + 3*g**5 + 24*g**3 + 5*g**2 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 82\/9. Suppose -3*m + b = -2*b - 30, 0 = 4*m - 2*b - 32. Let y be ((-3)\/2)\/(3\/m). What is the smallest value in 3\/5, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**(-1\/53)*(g*(g*g*g**(2\/7))\/g)\/g**(5\/6)*((g*g\/((g*g**(-5\/3))\/g*g))\/g*g**1)\/((g**(3\/5)\/g*g)\/(g**2\/g)) assuming g is positive.\nAnswer: g**(50381\/11130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 13097115.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + (-4 - (5 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*n + 49*n - 45888. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5*t**2 - 115269*r**5*t - 2*r**2*t**2 - 459*r**2*t - r**2 - 2*t**2 wrt r.\nAnswer: 120*r**2*t**2 - 6916140*r**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 174.322526 to 2 decimal places.\nAnswer: 174.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n**2 - 59*n**2 + 109*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j. Suppose 2*z - 5*z + 3 = j. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) 2 (c) 0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 838*k - 4959. Let x be n(6). Solve -55*a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*i - 38*i + 412 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 377*d**2*q - 6193*d**2 + 52950111*d*q wrt d.\nAnswer: 754*q - 12386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s**2. Let q(w) be the first derivative of -1\/24*w**4 + 0*w + 3*w**2 + 0*w**3 + 9. Let p(b) be the second derivative of q(b). What is v(p(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(605) + 2)**2.\nAnswer: 154*sqrt(5) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/5019 and 25\/22944.\nAnswer: 160608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - 7 + 0)*(-2 + 4 - 1)*(3 - 3 + 2*v).\nAnswer: 6*v**3 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914*a**2 + 2*a - 2*a - 1842*a**2 + 937*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 2, h: 3, z: 5}. Give prob of picking 2 z.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28607261.\nAnswer: 313, 91397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-95)\/(-3))\/((-1215)\/(-1984338))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 2*t**2 - 4*t - t**3 + 2*t**3 + t**2. Let f be c(3). Solve 3*q - s - 16 = f, 5*q + 4*s + 0*s - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1)\/((-20)\/(-8) + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 0, -i - 2*w - 2 = 2. Suppose i*a - 5 = -y + 7*a, -21 = -4*y + 3*a. Suppose -4*t - y = -l + t, t = -2*l + 1. Is l greater than -1\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/60*-12*475\/(-152)*4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 8*n - 1403 + 398.\nAnswer: 5*n - 1005","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 26*u - 9. Suppose -284*c = -288*c - 48. Let l be s(c). Solve -l*y + 20*y + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 25*b**2 + b - 5. Is s(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53644460 (base 7) to base 10\nAnswer: -4582718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -122*r**3 - 2*r**2 - 18*r - 17. Is g(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 120 + 12 = -5*a, 63 = -2*a - 3*g. Let h be 415\/45 + (6\/a)\/1. Let f = 5 - 10. What is the closest to h in -0.2, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + v + 0*v)*(0*v + v - 3*v)*(42 + 16*v - 42).\nAnswer: -32*v**3 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 10810940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482 a factor of 99912910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62205, -248586, -559141, -993870, -1552773, -2235850?\nAnswer: -3043101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**8)\/p*p**(-1\/6))\/(p\/p**(-2)*p*p*p\/(p**(-1\/3)*p)) assuming p is positive.\nAnswer: p**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((693\/33)\/105)\/((-120)\/12*(-10)\/75)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 220. Suppose -j = 3*u - 1640, 4*u = -5*j + 588 + 1595. Let w = 561 - u. What is the remainder when q is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:32 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 + -0.04. Let g = -1671\/7 - -239. Let t = -6 + 3. Which is the nearest to g? (a) k (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. What is l in 4*l + 5*l**4 - 7*l**4 - 4*l + c*l**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 587207 and 10.2?\nAnswer: 5989511.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 15, -y + 2 = 4*d + 17. Which is the closest to 2? (a) y (b) 2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 n when three letters picked without replacement from {v: 1, k: 2, s: 3, d: 1, p: 8, n: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/9)*o**(-2\/5)*(o**(2\/21)*o)\/((o**6\/o)\/o))**(-41) assuming o is positive.\nAnswer: o**(28331\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340 is divided by 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52427*k**3 + 104922*k**3 - 52477*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -2*s**7\/105 + s**6\/6 - 2*s**5\/5 - 2*s**4\/3 + 16*s**3\/3 + 7*s**2. Suppose b(k) = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 14*y**3 - 204*y**2\/7 = 0. Calculate y.\nAnswer: -2, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-18) - 9\/((-486)\/120). Let d(t) be the first derivative of 33*t**4\/4 - t + 1. Is d(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 315 = 3*i - 5*w, 1015 = 3*i + w. Suppose z + z = 8, 4*p = -z + i. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 7*v - 1049. Calculate the remainder when 257 is divided by v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Solve 0 = -h + 3*h - n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 34 = -8*w - 4*a, 0 = 3*a + 3. Solve 0*b = -w*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*(a\/(a\/(a**(1\/41)\/a)))\/a))\/a*a**6)**26 assuming a is positive.\nAnswer: a**(8502\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 2781*u + 2*u**2 - 1391*u - 1396*u as s*u + v*u**2 + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100019, 100007, 99971, 99899, 99779?\n\"Answer: -2*r**3 + 2*r + 100019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/20 - 308*w**2 - 2. Let k(m) = 75*m - 2. Calculate x(k(q)).\nAnswer: -16875*q**2 + 900*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7503312 is divided by 1875824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26*r - 18. Calculate d(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6905 divided by 64.\nAnswer: 6905\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*q - 59, 0 = 5*n - 9*n + q + 121. Suppose 3*d + 2*d - 970 = 0. Suppose 31*f = n*f + d. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 2, 4, -2, 58, -21 in decreasing order.\nAnswer: 58, 4, 2, -2, -4, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*g**5 + 167*g**4 + 821*g**3\/3 - 797*g**2\/3 - 458*g\/3 - 40\/3 = 0. What is g?\nAnswer: -2, -1\/3, -1\/9, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 676, -19 in decreasing order.\nAnswer: 676, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heedh. What is prob of sequence dehh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 1. Let g be -1 + 5*(-1)\/(-15). Which is the nearest to -1\/2? (a) 1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(96)\/sqrt(4)*2 - sqrt(24)))\/(1*sqrt(72)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9 and -89\/2423166.\nAnswer: 7269498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -47*z - 10*z + 1 + 32. Suppose 6*l + 78 = 8*l. Suppose -2*o + 2*t = -o - l, 0 = 4*t + 12. Let g(y) = -7*y + 4. Calculate o*g(h) - 4*q(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686*z**4 - z**2 + 2412*z?\nAnswer: 16464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 25 + 13*n - 6 + 31.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 23*k - 44 = 0. Solve -y + 4*y = 5*o - k, 3*o - 14 = -4*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 97*a**2 - 497*a - 761. Is n(69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 2 - 2*z + 2*z**4 - z + 0*z + 4*z in the form r*z + q*z**4 + n + h*z**2 + g*z**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(273504\/(-432)) - 8\/(-56)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 6, x: 1, t: 2, k: 1}. Give prob of sequence tfs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (-3 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77856.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42545*o - 8668 = -42151*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 4 + 2*z + 29.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 - 37*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1828*u**2. Let k(t) = 2*t**2. Calculate v(k(y)).\nAnswer: -7312*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -0*b - 2436. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 + -4)\/(-10) - -7. Solve 3*g + j*g = 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1443e4 - 0?\nAnswer: -1443e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 4, 0, 37, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 + 1.3. Let l = -426190.99993 + 426186. Let h = l + c. Round h to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1914 and 1122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqufffjjffjujeqfjqj. What is prob of sequence juf?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 13. Let s be 1\/(-3) + 1\/d. Find z, given that 2\/3*z + s*z**2 - 2\/3*z**3 - 2\/3*z**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.9 and 0.0458.\nAnswer: -7.8542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 16 - 175*s + 20 - 1614*s.\nAnswer: -1789*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-407)\/44)\/(2\/(-24)). Find the first derivative of -22*l**3 + v - l**3 + 11*l**3 - 18*l**3 wrt l.\nAnswer: -90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (4 + (6 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -625 + -230367?\nAnswer: -230992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 383368*j**3 + 2770*j**2 + 1385*j + 1385. Let q(g) = 554*g**3 + 4*g**2 + 2*g + 2. What is -1385*q(n) + 2*z(n)?\nAnswer: -554*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342\/161 or -1?\nAnswer: -342\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 - 5*v - 1. Let t be u(5). Let m be (-32)\/((0 - t)*-1). Let g = -7 + m. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*p, 5*h = 7*p - 2*p + 1055. Let f = h - 208. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67797 and 4309.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - 12*v - 12. Let w = 7 - -4. Let b(u) = -13*u**2 + 23*u + 23. Let g(s) = w*k(s) + 6*b(s). What is g(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/30 + m**3\/3 + 13*m**2. Find the first derivative of g(a) wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72715, -148556, -224421, -300322, -376271?\nAnswer: -452280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from brrrrrrrrrrrrrrrrrr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -3\/8, -0.01553 in descending order.\nAnswer: 53, -0.01553, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 8}. Give prob of picking 1 k and 2 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 150, 220?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -40. Let m = 0.0311 + 3.9689. Which is the biggest value? (a) 3 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + c + 2*c)*(62*c**2 + 6*c**2 + 26*c**2) + (2*c**2 + 8*c**2 - 6*c**2)*(-2*c + 3*c - 3*c) to the form m*c**3 + k + d*c + u*c**2 and give m.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 + 61*z - 25. What is c(-7)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9623, 1, -2 in ascending order.\nAnswer: -2, 1, 9623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(3 + 10\/(-4)). Suppose -m + 3*m = t. Solve -o + p = -4, m*p = p - 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 123.87.\nAnswer: 495.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n**2 - 3 + 58*n**2 - 91*n**2.\nAnswer: 23*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*4 - 2\/(-2). Suppose -2*a + 17 = s, -5*a + 23 = -q*s - s. Let o = a + 35. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107)\/(-107)*-3*5*(-3)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2. Let y(q) = 604*q - 10. Let x be y(3). Let o(i) = -x + 1802 - 3*i. What is o(f(k))?\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.127 and 6.2.\nAnswer: -0.7874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2 + 0 - 2\/15*m**3 - 54\/5*m = 0.\nAnswer: 0, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*b*f*h**3 + b - f + 2*h**3 - 72 wrt f?\nAnswer: 20*b*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 627685 divided by 125537\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77435720 by -9679465.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -524*x + 6823. Give p(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2967\/380 + -163\/20. What is the common denominator of h and -31\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.09 * -2.4394.\nAnswer: -14.855946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452273833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/11, 0.4, -3\/7.\nAnswer: -3\/7, 0, 2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*c + 52, 4*c = 4*p + 5*c + 37. Let k = p - -13. Let l(m) = 4*m**2 + 6*m - 1. Let n(z) = -z**3. Let w(i) = l(i) + n(i). What is w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d**5\/5 + 9942*d**4\/5 - 541989*d**3 - 911052*d**2\/5 + 1808844*d\/5 = 0 for d.\nAnswer: -1, 0, 2\/3, 491, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5954 + 7421. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let f = -4 - -2. Which is the biggest value? (a) f (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-1)*((-3168)\/180)\/44\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 588715\/7 or -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 58\/4*5\/(-6*30\/144)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + (669\/(-27) - -4). Let f = o - -41\/2. What is the third biggest value in f, -2\/3, -4, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 333551072*h - 333551068.\nAnswer: -4*(h - 83387767)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, d: 1, e: 10}. Give prob of picking 1 d and 1 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-6) - (-3)\/6)\/(1857\/(-233982))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1385, -1383, -1381?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5206 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:19 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/198*(-8)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-767 - 646 - 123)*(-2*l**4 + 0*l**2 + 0*l**2) to the form b*l**4 + j + p*l + w*l**2 + u*l**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -49*m**2 + 7*m - 4*m + 96*m**2 - 5*m - 1 - 49*m**2. Calculate y(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h*h**(1\/3))**(-9\/5)\/(h\/(h\/h**2))**19)**(1\/4) assuming h is positive.\nAnswer: h**(-229\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20551949409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3) - 0\/(-1). Suppose 349 = 2*i - 1199. Suppose -y + 0*y + 5*j + 216 = 0, c = -4*y + 2*j + i. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u - 2*u - 4*u - 2*u - 17*u + 3*u - 2*u - 2*u + (1 + 2 - 5)*(-u - u + 3*u).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401711 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*f**2 - 12*f**2 - 7*f**2 + 68*f**2 - 7*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -198, -392, -586?\n\"Answer: -194*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 16*z**2 + 5 - 3*z - 15*z**2. What are the prime factors of k(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -8260?\nAnswer: -825c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (0 - (2 - 1)). Let p = -19.9 + -1.1. Let f = p + 21.1. What is the nearest to f in 4, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from ukssbfs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123546 rounded to the nearest 1000?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 3. Let u(o) = 10*o + 14. Let r(f) = -14*k(f) + 3*u(f). Let v(z) be the first derivative of -z - 305. What is -r(c) - 2*v(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 25*c - 45*c + 11*c)*(-15*c + 23*c - 10*c) in the form s + q*c + a*c**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**2 - 13*t**2 + 4130*t - 4125*t. Let l(i) = -21*i**2 - 25*i. Determine 11*k(b) + 2*l(b).\nAnswer: 2*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -163, -164, -165, -166?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 210?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/3)*w)\/w*w*w)**(1\/12)*w\/(w\/(w\/(w*w*w*w**0*w))*w)*w\/w**10)**33 assuming w is positive.\nAnswer: w**(-2519\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppp. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**38)**33 assuming u is positive.\nAnswer: u**1254","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4781*z - 2387*z - 2392*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101122 (base 3) to base 13.\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/10 - 7\/10*t**2 + 1\/10*t**3 - 17\/10*t.\nAnswer: (t - 9)*(t + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + i = 4, 71*h = 76*h + 7*i - 26 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o - 1. Let i(q) = q**2 - q - 1. Let n be i(-1). Suppose -2*r - 3*r = -20. Let m(t) = t + 6. Calculate n*m(w) + r*h(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 97.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 294476?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856\/428*-4*590\/(-80).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8682733 and 3995.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110111?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) - ((sqrt(350)*-1 + sqrt(350))*2 + sqrt(350) - sqrt(350)))\/sqrt(10))\/(sqrt(847)*1*-6)*-1)**2 + 5.\nAnswer: 21785\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 45 = 4*s. Suppose -s = -d - 1. Suppose 703 = d*p - 464. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Which is the biggest value? (a) -0.1 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(630\/4))\/((-1272)\/4452*1\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (416\/(-13))\/((-2)\/3). Let o be 0 + 0 - 12\/h. Let d = -3 + 3. Which is the closest to d? (a) 1\/3 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/8 + 31*v**3\/6 - v**2\/2 - 3*v + 3. Let o(h) be the second derivative of p(h). Let i(n) = 4*n. Determine o(i(d)).\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31705 divided by -2070\nAnswer: 6341\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*n**2 - 149*n**2 + 1735*n**2 + 427*n**2.\nAnswer: 2677*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.44 - 30.44. What is the nearest to n in 0.3, 2\/7, 13\/4, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*q**2 + 226\/5*q - 444\/5 = 0.\nAnswer: 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + -2 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 616*w**2 - 3*w + 123. Is u(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 103. Is r at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3909 + 6108. List the prime factors of d.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*n**3*w - 2*n**3 - 4*n**2*w - 126517*n**2 - 250*n*w - 2*n - 89*w + 200 wrt w?\nAnswer: 44*n**3 - 4*n**2 - 250*n - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 + b. Let o be j(2). Is (1\/o)\/(3*3\/(-1278)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101022003 (base 4) to base 3\nAnswer: 1010012120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3*g**5\/4 - g**4\/12 + g**3\/6 + g**2\/2 + 8*g. List the prime factors of x(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79853 and 0.584?\nAnswer: -0.46634152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31458619 divided by -13313?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 0.0101?\nAnswer: 0.02525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 543 and 0.43.\nAnswer: 233.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.671727 and 16081980.\nAnswer: 16081979.328273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*l - 4*d + 11, -4*l - 5*d = 2. Let f(s) = 2*s**2 - 7*s + 4. Let t(x) = 3*x**2 - 13*x + 8. Let m(h) = -5*f(h) + 3*t(h). Calculate m(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 101001?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 11*i - 11. Let h(q) = -q + 70 - q - q**2 - 68. Give 11*h(g) + 2*m(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.1, 2\/7, 3, -5\/923?\nAnswer: -5\/923","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152313014.04 rounded to the nearest 1000?\nAnswer: 152313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 156. Differentiate 4*n - 15*n - 1 + y*n with respect to n.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 5327 = -4447. Solve 73*l - s*l = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/8)\/(-3)*-6. Factor j*m**2 - 5*m**4 - 3*m**3 + 0*m**4 - m**5 + 0*m**4.\nAnswer: -m**2*(m - 1)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*f - f + 19, -5*j - 3*f = 59. Let z be j\/(-2) + 116\/(-24). Which is the smallest value? (a) 5 (b) z (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186613 is divided by 511.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l**2 - 18*l**4 + 5*l**2 + 2*l + 166 - 105 + 127 wrt l.\nAnswer: -72*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8647.773 centimeters in nanometers?\nAnswer: 86477730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1641.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 13) in base 7?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 - 91\/(-26). What is the third derivative of 0*v**h - 6*v**3 - 8 + 9 - 19*v**4 + 7*v**2 - 8*v**3 + 13*v**3 wrt v?\nAnswer: -456*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 307, 10, 0, -30 in increasing order.\nAnswer: -30, -5, -2, 0, 3, 10, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2743, -1\/9, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -m + 1361, 5*m = 2*c - 3022 + 286. Suppose 4*f + 253 = v - 12, f + c = 5*v. Let x = 417 - v. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 - 2564*u\/13 - 89712\/13.\nAnswer: -2*(u + 36)*(u + 1246)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {n: 1, u: 1, d: 1, h: 2, c: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2*b - 1. Let m be s(-1). Let r be 4 + -7 - m\/3. What are the prime factors of (33 - 1) + (r - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37575 and 142785.\nAnswer: 713925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/235456 and -203\/1765920.\nAnswer: 3531840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/21)\/(650\/7280).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3677*s**5 + s**4 - s**3 - 2*s + 805?\nAnswer: -73540*s**3 + 12*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 18. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42727 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35337738 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 2702 + 1888. What is the highest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(988\/(-184))*(10 - (-198)\/(-12))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 1901205*p.\nAnswer: 1901205*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -14664170?\nAnswer: 14664170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:09 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 65*b + 71. Let c be -5 + (-3)\/(-2)*1856\/87. What is the tens digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 37. Let t(n) = n + n - 3*n - u*n. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 12. Suppose a = -3*u + 7, a - 20 = -g*a - 4*u. Solve -3*o + a = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {l: 4, p: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 33*v + 9826 - 10136 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 9*w**3 - 467 + 2*w + 465 - 29*w**3 as z*w**3 + n*w**2 + c*w + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + 3 + (-3 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.736*12.5.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 47 = -32*d + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 + -131. Solve 0 = 3*h - h + 2*y + 2, -v = -3*h - 2*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-25)\/20 - 3. Let t(w) = -w**3 - 8*w**2 + 3. Let v be t(-8). Let f be (-3)\/4 - v\/12. Which is the third biggest value? (a) l (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1691 and -24?\nAnswer: -40584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.7943 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10546.65 to the nearest ten.\nAnswer: 10550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + d - d)*(3 + 2 - 8)*(1067 + 1367 - 345).\nAnswer: -12534*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*p - 34*p**2 - 85*p - 13*p**2.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*k, l - k - k + 3 = 0. Suppose 9 + 6 = l*i - 3*b, 2*b = 4*i - 22. Calculate the lowest common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 10\/(-15)*-264*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**7\/420 - w**6\/20 + 9*w**5\/20 - 9*w**4\/4 - w**3\/3 + 4*w**2. Let o(k) be the first derivative of r(k). Factor o(t).\nAnswer: 2*(t - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 + -3 + -6 - 125. Let b = i + 160. Calculate the greatest common factor of b and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let r(m) = -16*m + 9. Let i(u) = -8*u + 4. Let n(q) = -5*i(q) + 2*r(q). Let a(p) = p + 12. Let s be a(-6). Let z(t) = -t. Give b*n(k) + s*z(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.1. Let r = 0 - 0.3. Let w = -109 + 109.3. Sort r, a, w, 0.1 in descending order.\nAnswer: w, 0.1, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g + 5. Let x be v(-10). Suppose 0 = -f + 4*y + 17, 5*f - x - 30 = 2*y. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. Let i(n) be the first derivative of -n**2 + 0*n + 1 + 1\/3*n**y. Find the second derivative of i(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 - 19 = 7*b - 5 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 801783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-242*v**3 + 186 - 186) + (-2*v + v + 0*v)*(2*v**2 + v**2 - v**2).\nAnswer: 482*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 567792647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(209\/(-19)))\/(3\/(-30)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13. Let c(u) = 1073*u - 3632. Let w(r) = c(r) + 3*t(r). What is the first derivative of w(p) wrt p?\nAnswer: 1073","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708546301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 14, 8855, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 6*s)*((-19 + 19 + 2*s)*(0*s**2 - 3*s**2 + 2*s**2) - 2*s**3 - 3*s**3 + 3*s**3).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 28. Let z be 54\/q*(-8)\/54. Let r = z + -23\/45. Is r bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.358 or -82\/141?\nAnswer: -82\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i + 1. Let k(u) = 16*u**2 - 26*u + 4. What is k(q) - 5*t(q)?\nAnswer: 16*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*g)*(-3 - g + 3) + (2 - 2 + 2)*(-4*g**2 - g**2 + 2*g**2) to u*g**2 + y + r*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2)\/((-77)\/(-44) + (-9)\/(-12))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -532 - 131*j**2 + 46*j**2 - 947*j**4 + 85*j**2 wrt j?\nAnswer: -3788*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01754075269 rounded to five decimal places?\nAnswer: 0.01754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -11. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 16\/11 (b) 1\/4 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*6\/15)\/((12\/(-252))\/(775\/2170))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 7 = -2*i. What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*k**2 + 62 + 54 - 7 - 26 wrt k?\nAnswer: 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 41*a**2 - a + 23. Let x be u(41). Let g be (-64)\/x + (1 - (0 - -3)). Suppose 0 = 4*i, v - 3 = -i - 0. Which is greater: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 172.65.\nAnswer: 86.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -750\nAnswer: 1\/750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i - i - 16*i = -200. Solve w - 7*f + 6*f = -2, -w + 23 = i*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 6, g: 5}. What is prob of picking 3 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 6*w**2 + 6*w. Suppose 4*y - 9 - 15 = 0. Let n(s) = 3*s**3 - 5*s**2 - 5*s. Calculate y*n(x) + 5*t(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 + 9*i**2 + 6*i - 4. Let g(s) = 10*s**3 + 28*s**2 + 19*s - 11. Let x(h) = -2*g(h) + 7*z(h). Let w = -3 - 3. What is x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665\/(-126) + 1 + 36\/168?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99654, -398497, -896600, -1593981, -2490658, -3586649?\nAnswer: -4881972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*j = 60*j - 232. Suppose -j = 39*b - 185. Solve 0 = -b*y - 5*x + 29, -x = -0*x - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -743025026.00000003 - -743025033. Let i = o + -7. What is i rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2122295 + -1206988. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -272081\nAnswer: -272081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5567904.9us in days?\nAnswer: 0.00006444334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 28. Suppose -4*d + x*d - 425 = 0. Suppose 34 = -0*a + 2*a. Calculate the greatest common divisor of d and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50794738?\nAnswer: 2, 839, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2025 - 2023. Solve 2*i - 6*i + 19 = -5*n, -i - 5 = b*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 20. Let z be (-1)\/2*0\/t. Solve m + 1 = 0, h + z*h = 5*m + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29204 and 29204?\nAnswer: 29204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 - 9*v + 9. Let z be q(2). Suppose -4*m = -4*i + 5*i - 11669, z*i + m - 35029 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 18 = -x, -x = 3*d + x - 56. Suppose 0 = 4*b - 13 - 7. Suppose -5*m = -5*a - 30, 2*m + m - d = b*a. Sort -5, -2, m.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 23*t - 43. Let o be i(-21). Let y be (2 - o) + (-2 - -6) + -4. What is the second derivative of 3*q - 306*q**y - 24*q + 278*q**3 wrt q?\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*n - 140860 = -2*s, -5*s + 100631 = -2*n. What are the prime factors of s?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3*u + 8 - 7*u - u.\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - 2*b**2 + 30*b - 2. Suppose 0 = 16*p + 114 - 18. Does 27 divide d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191792.1 grams to milligrams.\nAnswer: 191792100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-125)\/50*(8\/(-5))\/2. Sort 5, y, -6 in descending order.\nAnswer: 5, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**3*z))\/(z*z**1))**49\/((z*z**(-3\/4)*z)\/z*z**5*z*z**(2\/15)*z**(-2\/5)*z) assuming z is positive.\nAnswer: z**(-15119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10917)\/135 + 4 + 0. Let o = k + 77. Which is the second biggest value? (a) -2\/17 (b) 5 (c) 3.5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 11 = -5*g - 2*o, 4*o - 13 = -5*g. Suppose 3*i + 7 = g. Is 16\/(-6)*9\/i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12444 is divided by 152?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 1, h: 5, m: 6}. What is prob of picking 3 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 71*q**2 + 217*q + 447. Give f(74).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*y**3 + 21*y**3 - 94*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*y - 7252 - 48 = 0. Put y, 4, -2, -3, -1 in increasing order.\nAnswer: -3, -2, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 62*a - 7*a = -2832, 4*u - 8*a + 0*a - 70 = -10*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 122\/7, 5\/2, 0.6 in descending order.\nAnswer: 122\/7, 5\/2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 341969597 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 22 + 27 = -s, 2*s + 65 = 5*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*n - 8 = 0, -n + 6*n = -a + 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, q: 1, c: 1, s: 1, m: 2}. Give prob of sequence moo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 177153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*c - 1364 = 1636 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (30\/6 + -3 + -8). What is the second derivative of -85*v**3 + 68*v - t*v - 135*v**3 + 23*v wrt v?\nAnswer: -1320*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 784126 by 58.\nAnswer: 392063\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-24))\/((-3)\/12). Suppose 110*u + 1284 = 114*u. Suppose -20 = 326*j - u*j. What is the third smallest value in h, 32, j, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**2 + 7*q. Let p be l(-6). Calculate the remainder when (-6)\/21 + p\/21 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04648 and -5.\nAnswer: -5.04648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 12 = -3*i. Let t be (-25)\/(-20) - 1\/4. Let w be i + t + (-68)\/16. Which is the closest to w? (a) -2\/21 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378822, -378821, -378818, -378813?\nAnswer: -378806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254234722.\nAnswer: 2, 7, 809, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7924349.\nAnswer: 19, 59, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, 47\/5, -0.7, -4, 3\/7 in descending order.\nAnswer: 47\/5, 3, 0.5, 3\/7, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 47, 184, 449, 884, 1531, 2432?\n\"Answer: 7*x**3 + x**2 - x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 - -0.09. Let i = 1.52 + c. Let a = i - 1.70000038. Round a to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -r + c, 2*r - 11 = c - 4*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 9*z - 13*z + 20323, 4*z = 3*k + 20317. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6464 and 24496.\nAnswer: 9896384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5792?\nAnswer: 5792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.82 + 4.65. Let a = t - 5.4. Let h = 96 - 96. What is the nearest to h in 3, 2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209011474*f**3 + 241533915*f**2 wrt f?\nAnswer: -1254068844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243 and 2017116.\nAnswer: 18154044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.422026 and 971?\nAnswer: 965.577974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(108) + (sqrt(108) + 1 - sqrt(108)))**2 + -2 + ((sqrt(60)\/sqrt(4))\/sqrt(5))**2)*1.\nAnswer: 12*sqrt(3) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15960 is divided by 954.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(3\/17)\/(s\/s**(3\/10)*s*s\/s**(-3\/5)) assuming s is positive.\nAnswer: s**(-471\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let f(t) be the first derivative of 4 + 0*t - 1\/3*t**3 + 0*t**2. Calculate f(n(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 34 + 70. Let w = 3 + -2. Suppose 4*g - 7 = -4*m + w, m + 1 = 0. Calculate the highest common divisor of p and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 26. Let m be v(-26). Do m and 46\/485 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*x = 29, -4*m - 4*x + 11 = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*n**2*s**3 - n**2*s**2 + 147*n*s**3 + n - s**3 wrt n.\nAnswer: -112*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) 5 (c) -1\/4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/180 + b**5\/10 + 2*b**4\/3 + 11*b**3\/3 + 40*b**2. Let g(o) be the first derivative of u(o). Factor g(k).\nAnswer: 2*(k + 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 397 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 919488811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-5)\/((-90)\/(-84)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/((-2)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.94 * -191.697.\nAnswer: -371.89218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 41 + -24 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 111. Calculate the remainder when i(18) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 - b + 1. Let t(l) = -3*l**4 + 18*l**3 - 18*l**2 + 18*l - 21. Let i(z) = 18*d(z) + t(z). Find the first derivative of i(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3 (c) -0.13 (d) 2 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 95*l - 2800.\nAnswer: 5*(l - 16)*(l + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25369 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202208 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: How many centimeters are there in 0.4294778 kilometers?\nAnswer: 42947.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527877 to the power of 1\/2, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-4) + -2)*128\/(-20) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q - 1. Let x be d(2). Let l be -69*(96\/(-18) - -5). Let h = l + x. Solve 3*n + 10 + 2 = -3*c, h*c + 4 = 2*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42393229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = 2*l + 87, 5*t + 766*l - 768*l + 43 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4 - 6032*x**3 - 464044*x**2 + 6032*x + 464046 = 0.\nAnswer: -2937, -79, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by -79.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121202221201 (base 3) to base 4.\nAnswer: 1100213122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5\/5 + 72*s**4\/5 + 358*s**3\/5 - 1548*s**2\/5 + 224*s = 0.\nAnswer: -7, 0, 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*(38 + -40).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccc. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y - 4*x, 7*y + 3*x - 5 = 2*y. List the prime factors of 7\/(y + (-15)\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**3 - 81*r**2 + 77*r + 2. Determine d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -7002?\nAnswer: -31\/7002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 1. Let k(h) = 2*h - 3 + 5 - h. Let g be k(5). Let n = -6 + g. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 2*g. Let z(k) = 9*k**2 + 5*k. Let j = 11 - 13. Suppose 9*f + 1626 = 1671. Calculate f*m(o) + j*z(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4eb (base 16) to base 7.\nAnswer: -3446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e23 + -d11?\nAnswer: -1b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let l(p) = -3*p + 6. Let w(z) = -6*k(z) + l(z). Let h(g) be the first derivative of -g**3\/3 - 2. Determine h(w(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 28*t + 76 = -0*z - 8*t, -27*z + 1802*t - 1800*t = -218 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 14 - 14 - m. Let t be b(1). Let j = -13\/75 - 2\/75. What is the nearest to t in j, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -17.71. Round f to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 7. Suppose 0 = 46*u - 45*u - 10. Suppose 2*a + q = u*a. Solve -5*x = w + 2*w + 5, 3*x = -a*w - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*i = -4*j + 15, -5*i - 5 = -j. Suppose -4*f + j*y = -9*f + 210, 5*f = 3*y + 186. Calculate the remainder when f is divided by 0 + 25 + (0 - 4\/1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 102. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 + -21 - -7)) + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Let p = -5 + 9. Let i = p - 4.4. Sort s, i, 2.\nAnswer: i, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6776332 is divided by 233?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003296719 to 7 dps.\nAnswer: -0.0003297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 42 + -33 + 1 + 20\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 20 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 204?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/75 - 8\/25. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472004*x**3 + 162843*x.\nAnswer: 2832024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 0, 4, -5, -1507 in ascending order.\nAnswer: -1507, -106, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 11036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -16.2661.\nAnswer: 81.3305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2424 and 3456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z. Let y(v) = -7*v**2 + 3*v**2 + 2*v**2 - v**2. What is y(i(h))?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 859 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 847\/(-99)) + (-6)\/1. Is p != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = -y + l, 8 = 2*l. Suppose 10 = 5*w, -19 = -j - 0*j - y*w. Suppose -j*h = -h - 260. What is the remainder when 127 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*l + 9, 0 + 1 = l + 3*h. Suppose -9 = 3*o, l*v - o = o + 38. Let m be 0 + ((-1)\/v)\/(-1). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 + 2 = 0, 11 = 4*i - r. Let t(v) = -v**3 - 5*v**2 - 6*v - 4. Let a be t(-4). What is the greatest common divisor of i and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*j*k - 815*g*j + 3*g*k**3*t + g*k + 88458*g*t + j*k**3 - 5*j*k**2*t + j + 1205*k wrt t?\nAnswer: 3*g*k**3 + 88458*g - 5*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*c, -3*c + 181*a - 179*a = -3. Let t(d) be the second derivative of 7*d + 0 - 1\/6*d**c + 3\/2*d**2. Determine t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Let x(y) = 12*y + 1. Let j(m) = 45287*m + 3938. Let t(l) = j(l) - 3938*x(l). Determine i(t(u)).\nAnswer: -7753922*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2 - 2*g**2 - g**2 - 2*g + 1 + 2*g**2 + 2*g**3. Let w be h(2). Suppose 2*z + 3 - w = 0. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 3*l**2 + 8*l**2)*(-10*l + 32*l + 66*l - 3*l).\nAnswer: 850*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2 + 175*l + 162. Let u(d) = 23*d**2 + 524*d + 459. Let c(s) = 6*u(s) - 17*v(s). Let x(w) = -3*w. Give x(c(y)).\nAnswer: -6*y**2 - 507*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Suppose x = 2*c - 3. Suppose g = 4*g - c. Solve 0 = -0*f + f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -0.34847.\nAnswer: 0.0069694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 = -2. Suppose -2*v = u + v - 12, -o*u + 5*v = 0. Let x = -960 + 963. Solve 0 = 3*s + h - x, 8 = s - 5*h + u*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 - -471. Let d = -212.62 + h. Let c = 0.38 - d. Which is smaller: 2\/11 or c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 422\/(-38) - 165\/2470\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30219336 by -1079262.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202101 (base 3) in base 11?\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 11 = 2*d - 2*j, 0 = 5*j + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -10. Let q(w) = w**2 + 6*w - 13. Let j be q(i). Suppose 0 = o - 4*y - 35, 0*o = -j*o + 3*y + 96. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 667 = -1355. Suppose -679*l + n*l - 20 = 0. Let t(v) = 6*v**2 + 4*v. Let d(q) = 65*q**2 + 45*q. Determine l*d(u) + 45*t(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 175, 269, 363, 457, 551?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 17977555 - 4745630 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from zzzzzzzzzzzzzdzzzzzz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6087*f**2. Let i(a) = 2*a. Determine i(k(r)).\nAnswer: 12174*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 44289.17us?\nAnswer: 44.28917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2137 times -0.28\nAnswer: -0.059836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.096 + -0.096. Let v = -156 + n. Let s = v + 136. What is the smallest value in s, 1, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 17) + 46 - (2 - 17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 351 + -343. Suppose 13*c - a*c - 2*t = 152, t + 1 = 0. Calculate the least common multiple of c and (-2)\/(-5) - 354\/(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 5476*g**2 - 25874254*g + 73340779728.\nAnswer: 2*(g - 3181)**2*(g + 3624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 8*s + 4. Let g(p) = -1. Suppose 379 - 151 = 57*b. Give b*g(f) + l(f).\nAnswer: f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1974\nAnswer: -9870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + 2*y)*(0 - 3*y + 0) + 1990 - 4*y**2 + 4*y - 1990)*(-3*y**2 + 2*y**2 + 0*y**2).\nAnswer: 10*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -622635?\nAnswer: -622642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002192 to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000165639 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*i - 12 = v, -2*v - 3*i + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (4 + sqrt(304)) - sqrt(19))**2 + (4*sqrt(19)*-1 - sqrt(19))**2.\nAnswer: 32*sqrt(19) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 269 + -266. Let o(a) be the second derivative of -2\/3*a**x - 2*a + 0 + 1\/6*a**4 + a**2. Find z, given that o(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004010509179 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96576 and 24?\nAnswer: 96576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2398*y**3 + 230*y**3 - 3*y - y.\nAnswer: 2628*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*t - 4, 0 = -2*k - 3*t + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 (base 15) in base 3?\nAnswer: 2122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.635 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 6, v: 2, i: 1, y: 5, c: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than or equal to -0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one quarters of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*f + 15 = 349 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let j(z) = 82*z. Let s(h) = 85*h. Let l(w) = -3*j(w) + 2*s(w). Give l(g(k)).\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23976615.\nAnswer: 3, 5, 13, 122957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + u + 1. Let i be k(-1). Suppose 0 = 5*w - 2*t - 116, -i*w + 50 = 7*t - 9*t. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(343) - sqrt(343))*4 - (sqrt(7) + sqrt(28)\/sqrt(4)*4 - (0 + sqrt(7))*-6))**2.\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:25 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 320?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221743 is divided by 27610.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1414184*v**2 + 3*v - 24393?\nAnswer: 2828368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 35*y**5 - 372*y**2 + 34*y**5 + 348*y**2 wrt y?\nAnswer: 4140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**3*w)\/(w\/(((w*w*w*w**(1\/5)\/w*w)\/w)\/w))*(w**(2\/5)\/w)**29 assuming w is positive.\nAnswer: w**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*0\/2. Which is greater: c or 2\/83?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from llvlllllllvlllvllvvl?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 8 - (3 + (0 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 13. Let n be b(-9). Let v = 94 + n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 900*f - 351. Let i(p) = 31*p - 12. Let g(c) = 4*a(c) - 117*i(c). Let v(o) be the first derivative of o**3\/3 - 14. What is g(v(w))?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(2\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12704.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1*4 + -40 + 41. Suppose -b - 4*b + f = 3*s, 5*s - 4*b - 10 = 0. Let r(l) = -l. Let h(m) = 12*m - 2. Give s*h(n) + 22*r(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3630 and 45\/94.\nAnswer: 170610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -220*n + 2042. Let a be l(6). Solve -718*q + a*q - 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 1\/5, -1\/5, -0.3, -3\/7 in decreasing order.\nAnswer: 1\/5, -2\/23, -1\/5, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70138714 and -0.4.\nAnswer: 28055485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**3 + 4 - 18 + 14 + 2*y**2 + y - 14*y**2.\nAnswer: -26*y**3 - 12*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 13 = 62*t - 61*t, -4*o + 5*t + 40 = 0. Let n be (-4)\/18 + (-587)\/(-9). Sort 1, n, o in descending order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 + 199*y**2 - 246*y + 43. What is the remainder when j(65) is divided by 97?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100161 is divided by 982?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683880784?\nAnswer: 2, 29, 131, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/15)\/(-2) - (-2)\/6. Let u(p) = 11*p**2 - 34*p + 20. Let g(r) = 4*r**2 - 12*r + 7. Let q(s) = 17*g(s) - 6*u(s). Calculate q(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22217151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -59 + (-18 - -24) + 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125440 and 4096.\nAnswer: 1003520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 257\/(21588\/(-7392)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -88 (b) -4 (c) -0.8 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0717055 rounded to three decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 34. Let o(h) = -3*h - 5. Give o(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 330*l - 14. Let r(g) = 1. Let k(d) = -a(d) - 3*r(d). Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (39 - (-7 + 16 + -16))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -1967703458218?\nAnswer: -1967703458218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 87) + -1 - 2. Calculate the common denominator of 3\/2*100\/(-96) and q\/99*(-42)\/(-8).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-2\/17)*s))**(2\/29))**(2\/5) assuming s is positive.\nAnswer: s**(-12\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -14993, 0 in descending order.\nAnswer: 3, 0, -5, -14993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5158, 4, 0.3, -1\/8, 390 in decreasing order.\nAnswer: 390, 4, 0.3, -1\/8, -5158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -97*a - 7. Let p(m) = 294*m + 20. Determine 17*d(r) + 6*p(r).\nAnswer: 115*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let n = -53 - -41. Let d = 13 + n. Which is the nearest to 4\/3? (a) 4\/7 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from ccgqgchcgggeggc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -262, -222, -182?\n\"Answer: 40*u - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 - 7*q + 3. Let t be d(6). Let b = 3 + t. Solve -2*r = -b + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*f + 1454*f**3 - 1 - 110*f + 150*f wrt f?\nAnswer: 8724*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2048578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 16*l + 4)*(-12 - 3 + 4) + (-4 + 2 + 3)*(5*l - 2*l + 23*l).\nAnswer: -150*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b)**(3\/5) assuming b is positive.\nAnswer: b**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 - 11*n + n**3 + 2 as w*n + r*n**3 + l + o*n**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.133 * -0.2\nAnswer: 0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110565 divided by 819\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 2}. What is prob of sequence zp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 6958?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1255 - -105522?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 2. Let n(s) = -2*s - 3594. Calculate n(q) - 4*r(q).\nAnswer: 2*q - 3602","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106007*n + 7*p = -106010*n + 4, 7*n + 6*p = 2*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcceo. What is prob of picking 1 r, 1 o, and 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 385*k**4\/4 - 695*k**3\/3 + 652. What is the third derivative of f(r) wrt r?\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -456*q + 8 + 2*q**3 + 0*q**3 + 3*q**2 + 3*q**3 - 455*q + 906*q as m*q**2 + l + r*q**3 + f*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -331, -329, -325, -319, -311, -301, -289?\n\"Answer: k**2 - k - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = 17*j - 20*j + 5*r, 3*j - 4*r - 413 = 0. Calculate the greatest common factor of j and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17134, 69404, 156802, 279322, 436958, 629704, 857554, 1120502?\n\"Answer: -a**3 + 17570*a**2 - 433*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/444)\/((-7)\/6). Let k be 2\/16 + 77968\/(-99456). Let y = a - k. Which is bigger: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 63 = 9*x - 10*x, -2*g = 5*x - 288. Calculate the smallest common multiple of 6 and x.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 20*i**3 + i**2 + 2*i + 1. What is z(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 52*i**3 - i**2 - 26*i - 2*i**2 + 11*i**2 + 59*i**3 - 59 - 110*i**3. Give a(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-52)*16\/6)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 2 - 3*f - 5\/6*f**3 - 1\/12*f**4 - f**2. Let c(p) be the first derivative of j(p). Determine c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 521042643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 105 + (1 - 84)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*z + 691 = 59*z - 1438 - 896 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -31684*h**2 - 24353248*h - 4679654464 = 0. What is h?\nAnswer: -34204\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*n + 345600 = -1327*n for n.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/17))**(-30)*u**(-26)*u\/((((u**(11\/3)\/u)\/u*u)\/u)\/u))**(-25) assuming u is positive.\nAnswer: u**(28225\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 568*f**2*j**2*r**2 + 2*f**2*j*r + 33496*f**2 + f*j**2 - 17*j**2*r**2 + 3*r**2 wrt j.\nAnswer: 1136*f**2*r**2 + 2*f - 34*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02578 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78172 greater than 78239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 9:32 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/5 + (-2 - -3). Let y(f) = -f - f - t*f. Let n(i) = 1 + 2*i - 1. Calculate n(y(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 40 = r - 15, 0 = 5*t + 3*r + 39. Let o be 30\/(-6) + (-47)\/t. Which is the nearest to o? (a) -1\/4 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14894*v**2 + 2486898 - 2486898 to k*v**2 + z*v + t and give k.\nAnswer: 14894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -185\/623 + 1\/89. Let t = 39 - 14. Let j = -24.91 + t. Which is the closest to w? (a) j (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -a. Suppose 3*t + 33 = v, -46 - a = -3*v - t. Calculate the least common multiple of ((-4)\/6)\/(240\/450)*(-33 + 9) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 10921883544?\nAnswer: 10921883539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 211455\nAnswer: -13\/211455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 22*o - 16. Let f(i) = 3*i**2 + 64*i + 50. Let r(m) = -4*f(m) - 11*h(m). Give r(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62651 is divided by 1903?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8420 = -2*w - 5*k + 8302, -12 = 3*k for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 5*f**4\/24 + 2*f**2. Suppose 15 = -5*d + 50. Let z(y) = -11*y. Calculate d*j(g) + 3*z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c. Let g = 5 + -8. Let k(u) = -9*u. Let d(a) = g*k(a) + 2*n(a). Let x(z) be the first derivative of z**2\/2 - 1479. Give x(d(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419058 - 419054.60562. Let z = 3.39 - i. What is z rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3502 + -10634\/3. Let q = x + 251\/12. Calculate the common denominator of q and ((-22)\/(-14))\/(10\/7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102c (base 16) in base 3?\nAnswer: 12200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155.1 + -155. Which is the nearest to -3? (a) 5 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and -29\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36 - 5*j**3 - 11*j**3 + 36*j**2 + 5*j - 24*j**3 + 2*j**3 - 9*j**4 - 45*j**2 wrt j.\nAnswer: -216*j - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = -3*p + 4*i, 2*p - 5*i = -3. Let r(q) = 35*q**2 + 5. Let u be r(p). Calculate the remainder when u\/22*(-8)\/(-10) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -450 + 934. Suppose -22 = 11*m - w. What is the remainder when 121 is divided by m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 537*p**2\/4 + 96123*p\/4 + 5735339\/4.\nAnswer: (p + 179)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.77 and -6891?\nAnswer: -39761.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 6 + 3*y - y + 30*y**2 - 42*y**2. Let j be d(6). Suppose -j*l = -13494 + 1620. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*o + 263 - 175 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*(sqrt(300) + 0) - (-1*sqrt(300) + -5 + (1*sqrt(300) - sqrt(300))*-2)) + 5)**2.\nAnswer: -4800*sqrt(3) + 172900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 11*n + 15. Let r be q(11). Solve 15 = -10*o + r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*x = 10, -18 = -13*x - 83 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -11a46?\nAnswer: -11a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108070635, 216141272, 324211909, 432282546, 540353183, 648423820?\nAnswer: 756494457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/9 at most as big as 154442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -24 + 74. Solve 0 = 7*x - 2*x - m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - (3 - 13 - -7)) + 99.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 44\/25, 0.212?\nAnswer: 0.212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 9*s**2\/2 + 8*s - 14. Let z be j(8). Solve 5*l - 2*l + 6 = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -222200222?\nAnswer: -222200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386407603?\nAnswer: 17, 22729859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 0.02\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -2*o**7\/105 + 13*o**4\/24 - 53*o**3\/6 - 106*o**2. What is the derivative of m(f) wrt f?\nAnswer: -16*f**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22728 and 14515616?\nAnswer: 43546848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:36 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p**3 - 1\/1008*p**8 + 7*p**2 + 0 + 0*p + 0*p**6 + 1\/630*p**7 + 0*p**5 + 0*p**4. Factor f(m).\nAnswer: -m**4*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33399.4 + -33399. Sort 0.5, 4, s, 6272, -0.1 in increasing order.\nAnswer: -0.1, s, 0.5, 4, 6272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -140, -150, -174, -218, -288, -390, -530?\n\"Answer: -w**3 - w**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 32 = -v. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122.621 and 0.04.\nAnswer: -4.90484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 225*v + 8606 + 1374 - 530 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1895 = 3*b - 1859 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-216286.34.\nAnswer: -865145.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 50298 = -425770. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1086 + -1292. Is v not equal to 4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 452, 451, 466, 503?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 + 1 - -2. Suppose -5*q - 2 - 3 = u. What is the remainder when (53 + 3)\/4 - q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + (-77)\/(-14))*-14. Which is the nearest to -4? (a) 1\/10 (b) 1 (c) -1\/5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -10, 5, -3 in descending order.\nAnswer: 29, 5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, 82, 7282 in decreasing order.\nAnswer: 7282, 82, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 5*f**2 - 5*f**2)*(3*f**3 + 124573*f**2 + 5*f - 124578*f**2 - f).\nAnswer: 6*f**5 - 10*f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 3.1. Let z = j - -2. Let w be -4 + (0 - 42\/(-9)). What is the nearest to -0.1 in w, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305\/((-195137475)\/130)*-51.\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1499 + 16259. Round x to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3861 divided by 297?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 34 = 139. Suppose 6*z - 3*z - 5*w = d, z - 4*w = 0. What is the highest common divisor of z and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*m - 4133 + 8961 = 0 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = 1. Let c = f - 7. Let x = c - -19. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s - 61. What is x(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13084*n + 1402. What is the thousands digit of h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 + 6*b. Let o be c(5). Sort -3, -6, o, 2.\nAnswer: -6, -3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6070576 - -7?\nAnswer: 6070605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13931 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 66*h - 1944 = 0. Calculate h.\nAnswer: 36, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6342 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/12*(-4)\/(-14) and -11 + -15 + (-221)\/(-78).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56068)\/5564 + 1\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -494 + 4450\/9. Which is the closest to -3? (a) -0.2 (b) 4 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 5985?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + (-3*sqrt(1008)*-1 - sqrt(1008)))\/(sqrt(54)\/(2*sqrt(216))))**2*-2.\nAnswer: -290304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -520 + 1035\/2. Which is the biggest value? (a) k (b) 17 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3769.\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 5. Let t be w(4). Suppose -s + 2 = -t. Let i be (-1)\/2*280\/(-35). Solve 3 = -4*v - i*j - 1, -s*v + 4*j = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 2 + 10*m)*(6 - 1 + 0)*(-3 - 2 + 6).\nAnswer: 50*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 985*o**6 + 2*o**3*v**3 - 2*o**2*v**2 + 6*o**2 + 104*o*v**3 + 22*v**3 wrt o.\nAnswer: 118200*o**3 + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(405)) + 5)**2 - (-3 + -5*((sqrt(5) - 6*sqrt(5)) + -4)).\nAnswer: -1825*sqrt(5) + 10508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268808390 is divided by 258.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -236 + (335 - 220) + 1 + 19 + 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s - 6. Let w(t) = 10*t - 5. What is 7*w(i) - 6*y(i)?\nAnswer: 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 10, -5*a = -0*f + 2*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141359659 divided by 7?\nAnswer: 20194237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (8 + (-13 - (-8 + 3)) + 10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 226 = -4*c, -c + 3*k = -k - 62. Suppose 8*f + c = 11*f. Let o be ((-15)\/f + 1)\/1. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) 0.3 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2600*-13*24\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -2. Let f = 2 + w. Let t = 7 - f. Sort -3, 4, t in ascending order.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.671 + 10438373.\nAnswer: 10438371.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160620 is divided by 17809?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -0.3, -55, -4\/5, 6\/5 in decreasing order.\nAnswer: 6\/5, -0.3, -4\/5, -33, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 272655 (base 11) in base 7?\nAnswer: 3431631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31099\/20 + -7771\/5. What is the nearest to q in -0.5, -1\/4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-441)\/81 + 7 + (-1)\/18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-4 + 2\/105*213).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 11:54 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 7*u + 5. Let o be a(7). Suppose -o*q - 10 = -k - 3*q, k - 4*q = 20. Find the second derivative of k - r**3 - 2*r + 0 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 + 5*d - 4. Suppose 2*u - 23 = -3*f, -1 = -4*u + 4*f - 5. Let k be b(u). What is the tens digit of 0 - (2 + k - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685*k - 683*k = 2*w + 141024, -4*k + 282088 = 4*w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 29007 = 3*v, 3*q = v - 3*v - 17389. Let i = 15244 + q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -23*k - 329. Determine r(-11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4 - 53*f**3 + f**2 + 53*f = 0.\nAnswer: -53, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + 4 + -8. Let y = d - -3. Solve 0 = -y*z + 5*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.681 + -1.081. Which is greater: l or -23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0394 * -16.\nAnswer: 0.6304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 1.4, 3, 2 in descending order.\nAnswer: 3, 2, 1.4, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/24989824 and -93\/24989824.\nAnswer: 24989824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1114*x**5 + 22*x**3 + 68820*x**2.\nAnswer: -66840*x**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f)\/(f\/(f\/f**(-6)*f))*f**(2\/21)*f*f\/(f\/(f\/f**(1\/6))) assuming f is positive.\nAnswer: f**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) -1\/10 (b) -0.026 (c) 2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 4) + (157 - -21 - 68).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 513001591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2101 - 737 = 2*z, 2*z + o = 1340. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 20631440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let s(p) = -p**3 - p**2 + 4*p. What is the smallest common multiple of s(a) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:46 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3*o**2 - 3*o**2 + (-3 + 5 + 0)*(3*o**2 - 6*o**2 + 2*o**2) - 3852*o**2 + 1476*o**2 - 1878*o**2 + o**2 + 2 - 2.\nAnswer: -4257*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-235)\/188)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 90 = 42 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20570 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*d + 14 + 22, 4*d - 21 = -u. Suppose -4*g + 10 + 1 = n, -4*g = u*n - 7. Calculate the greatest common divisor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*r + 55*r + 3*j - 43, -5*r + 4*j - 49 = 0. Which is the fourth biggest value? (a) -1\/2 (b) -3 (c) -12 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7938406*p**5 + 416478*p - 11?\nAnswer: -158768120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10303302 (base 7) in base 15?\nAnswer: 12447c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961096218.\nAnswer: 2, 6427, 152567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqymmqmqm. What is prob of picking 1 y and 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 55*y**2 - 5*y + 124. What is the remainder when f(-56) is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3778741, 3778733, 3778725, 3778717?\nAnswer: 3778709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/1)\/(17\/((-1683)\/(-27))). Suppose -7*v = -3*v - 4. Solve v = -4*b - w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 133, -5 in descending order.\nAnswer: 133, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 6*k + 1021 + 5. Let f be (1 + 1)\/(2\/19). Calculate the greatest common divisor of k and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -475? (a) -0.236 (b) 23 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 3*p - 64. Let w = p + -8. Suppose -5*b + 11 = -4. Solve -y - h + 14 = 2*h, h - b = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -45*y**8\/28 + y**6\/30 - 5*y**4\/6 - 70*y. Find the third derivative of j(n) wrt n.\nAnswer: -10800*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1\/2))**33*(s**(-2))**(13\/4))**(-8\/5))**(-1\/27) assuming s is positive.\nAnswer: s**(16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -14 - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)*t**(-3)*((t**(-21)*t)\/t)\/(t*t**(-2\/9)))**(-21) assuming t is positive.\nAnswer: t**(1567\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 19*g - 23*g - 23 = 0, -3*g = -2*d - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -43 + (-175)\/(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 172770.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19681, 35557, 51433?\nAnswer: 67309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 2*x**2.\nAnswer: x**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4 and -4 - (39737\/(-11170) - (-10)\/(-25)).\nAnswer: 4468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 2*m + 0*m - 7 + m + 7 + (7 - 3 + 0)*(0*m + 0*m + 2*m) to v + w*m and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 20. Suppose 11*f - 16*f = -25. Let t = n - f. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let b(f) = -f. Let p(i) = -a(i) - 6*b(i). Let h(z) = -3*z. What is p(h(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 17*f. Let c be k(-17). Let z(g) be the second derivative of g**4\/12 + 2*g**2 - g. What is z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**2 + 188*t + 577. Give y(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 94, -6, -86, -2, 4 in decreasing order.\nAnswer: 94, 4, -2, -5, -6, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364624 is divided by 244.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20015?\nAnswer: 5, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136576 and 17536.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2. Let b(c) = 218*c. Calculate x(b(q)).\nAnswer: 95048*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -599756.02 rounded to the nearest one thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*g - 4137 - 11235 = -1986. What is the third biggest value in -223, g, -2\/3?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 264572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25455718 divided by 19934?\nAnswer: -1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15669*y**2 - 1992 - 2060 + 4052 as b*y + s*y**2 + p and give s.\nAnswer: 15669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64559.\nAnswer: 11, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 - 5*h - 3. Let w be x(-7). Suppose 12*g = 8*g + w. Find the third derivative of -u**2 + 2*u**2 + 9*u**3 - g*u**3 + u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.35 and -2.618.\nAnswer: -2.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2)\/u))\/((u*u**(1\/15)\/u)\/u)*(u**(-3)*u)\/((u\/(u*u**(-2)*u))\/u))**(-3\/22) assuming u is positive.\nAnswer: u**(-29\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 77*w - 351. Let u(p) = p**2 + 2*p. Let l be u(2). Suppose -6*o + l = -2*o. Calculate the remainder when x(5) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 65 = -175. Suppose 3*x + x - 60 = 0. Calculate the greatest common divisor of k and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -17*j**3 - j**2 - j. Suppose 5*r + 3*s = 55, 2*r - 22 = 46*s - 42*s. What is the remainder when a(-1) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/30573900 and 107\/194120?\nAnswer: 61147800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 34 = -2*r + 237, -3*h = -5*r + 554. Solve 5*n - r = -104 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 196, 202, 212, 226?\n\"Answer: 2*q**2 + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*k = -k - 20, -p - 12 = -4*k. What is the closest to 0 in p, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27732 (base 11) in base 2?\nAnswer: 1001101000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1834*w + 1833*w + 6 = 0, -z - 2 = 2*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 395244778*z**2\/3 + 19527304514656048*z\/3 - 19527304119411272\/3.\nAnswer: 2*(z - 98811194)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 190\/11771?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9732.756ml in litres?\nAnswer: 9.732756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1055 - 4129\/4. Find the common denominator of n and 2\/(-13) - (-4835)\/(-260).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-4))\/3*((-390)\/(-45) + -9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296729, -296703, -296677?\n\"Answer: 26*f - 296755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -5 (c) 0.3 (d) 554 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**3\/5 + 14943*n**2\/5 + 3*n\/5 - 14943\/5 = 0?\nAnswer: -1, 1, 4981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -2. What are the prime factors of x\/(-40) - 298\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9518800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20 + 3*l**2 - 20 + 5*l - 5*l**3. Let w(i) = -i - 3*i**3 + 3*i + 0*i + i**2 + i**3. Give -8*w(h) + 3*z(h).\nAnswer: h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25064861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -26*q - 942 + 28 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-42 + 40 + 4 + -1)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437404766?\nAnswer: 2, 3, 7, 34223923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m - 2 + m - 2*m)*((3 - 2 - 3)*(0*m - 2*m + 0*m) - 4*m + 7*m + 2*m) as g*m**2 + k + i*m and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:40 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 165 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 + 36*f**2\/7 + 68*f\/7.\nAnswer: f*(f + 2)*(f + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -166.1. Let z = w - 1.9. Let v = 2 + -1.6. What is the smallest value in z, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186687739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q + 40*q - q**2 - 10*q + 12*q - 2*q - 2*q**3 in the form i + o*q**2 + l*q + v*q**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 - 359 + 367 - 2*d**2 in the form f*d**2 + b + u*d and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 15*v - 19. Let y be w(-10). Let g = 31 - y. Suppose g = 4*o - 6*o + 12. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*y**2 - 1047564*y - 1047532.\nAnswer: -4*(y + 1)*(8*y + 261883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684 greater than -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**2 - 59. Let c(h) = -5*h + h - 2*h. What is c(y(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = -126 - 14 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -8*i. Solve b + i*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/5)\/((-5)\/25). What is the nearest to 0.5 in 8, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17213\/12 - 1436. Let n = c + 11\/6. Let m be ((-3)\/18)\/(4\/(-3)). What is the nearest to n in -2\/15, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + 336\/60. Suppose g + 15 = o*g. Solve 5*f - 18 = -g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 6*h + 4. Let v be 3 - (-4 - 4\/(-2)). Suppose -20 = 5*t + v. Is a(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaooml. What is prob of sequence om?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-8))\/(-7*(-4)\/1232) is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474585279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + 5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5482462336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 2*sqrt(98) - -5*-2*sqrt(98))**2.\nAnswer: -448*sqrt(2) + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1476 and 2088.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -27*g**4\/7 + 4716342*g**3\/7 - 205955580531*g**2\/7 - 549240035496*g\/7 - 366165613488\/7 = 0?\nAnswer: -4\/3, 87341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138420806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 47*l + 30. What is s(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 4, l: 10, n: 2}. Give prob of sequence nn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/((-1)\/(-3)). Which is greater: 21\/8 or c?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2057 - 6*w + 4063 - 15*w - 2037.\nAnswer: -21*w - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7310 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8234 = -19*h - 27*h. Let g = 352 + h. What are the prime factors of g?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26116, 104413, 234888, 417541, 652372, 939381?\nAnswer: 1278568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**3 + 0*k + 2\/3*k**4 + 5*k**2 + 0*k**5 - 29\/210*k**7 + 0*k**6 + 0. What is the second derivative of i(q) wrt q?\nAnswer: -348*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99699 - -0.328.\nAnswer: -99698.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cooc when four letters picked without replacement from {o: 6, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135550623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39.5 from 92437044876.\nAnswer: 92437044915.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-25 - -25 - (6 + 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.4, -1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*y + 26. Suppose 4*a + 2*x = y, -4*a = -8*a - 3*x. Solve -w = -2*l + 9, -a*l - w = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*y**3 + 2*y + 148148*y**2 + 0*y + 5*y**4 - 148146*y**2 - 3*y**3 to the form f*y**4 + s*y + d*y**2 + p*y**3 + o and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 8*b**2 - 13*b - 6. Let a be s(-6). Let m(p) be the second derivative of 1\/27*p**3 - 3*p + 1\/27*p**4 + 0*p**2 + a + 1\/90*p**5. Factor m(g).\nAnswer: 2*g*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**7)\/(m**0\/m)*(m\/m**(-1\/4))**(-1) assuming m is positive.\nAnswer: m**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 398*t + 2*t**2 + 410*t - 196*t**4 - 2*t**3 + 1 + 2 as z*t**2 + f + m*t**3 + b*t + v*t**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822741.\nAnswer: 2822741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -52. What is the least common multiple of 15 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -7\/2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22285 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.4 - 8. Let k = z + -0.6. Let w = 1196.95 - 1197. Which is the closest to w? (a) 1\/6 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1610 and 16870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 1. Let i be r(-1). Suppose -4*b + i + 4 = 0. Let t be 1*(1 + b\/(-1)). Put t, -5, -2 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 1, f: 1, i: 3, g: 6, p: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -196*a**2 + 11086. Let k(r) = r. Calculate w(k(f)).\nAnswer: -196*f**2 + 11086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 206417372 a multiple of 991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * 0.266.\nAnswer: 0.04788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3\/26 (c) -14 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*m + 3*p, -29*m - 5*p = -26*m + 17. Put 2\/99, m, 2\/35, 1 in decreasing order.\nAnswer: 1, 2\/35, 2\/99, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536692 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alrk when four letters picked without replacement from {a: 1, r: 1, l: 2, k: 2, w: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -51669872 rounded to the nearest 10000?\nAnswer: -51670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14774 is divided by 1039.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/11, -4\/5, -52 in increasing order.\nAnswer: -52, -4\/5, 3\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122312039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5342668.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(24 + j + 5*j - 8*j).\nAnswer: 2*j - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -2 (c) -24 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 71, 66, 59, 50?\n\"Answer: -l**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 12.7436?\nAnswer: 12.7436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 16.05?\nAnswer: -0.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*n + 18, 2*y = 7*y + 5*n - 20. Let j(h) = h - 2. Let v be j(7). Suppose 3*d + y*m = 30, v*d = 2*m + 6 + 30. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(684) + sqrt(684)*1 + sqrt(684)).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 5*o - 4. Let r(s) = s**2 - 3*s - 2. Suppose 6*c - 33 = 17*c. Give c*q(n) + 5*r(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 4. Determine c(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.7 + -49. Suppose -3*c = c - 8. Suppose c*p - 2 = 6. What is the nearest to -2 in p, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 496*n**3 - n**2 - 619*n - 619. Give p(-1).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 841\nAnswer: 84.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.2 - 36.1. What is the closest to b in -4, 1\/3, -3\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5636?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10474, -7 in descending order.\nAnswer: 0, -7, -10474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f - 3. Let d be q(-6). Let v = d + 6. Let b(t) = -3*t - 2. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(180)*1*-5)**2 - (sqrt(180) - (sqrt(180) + 6*(1 + sqrt(180) - sqrt(180))**2))) - ((sqrt(180) + 0 + sqrt(180) + -5)**2 + 0 + 4).\nAnswer: 120*sqrt(5) + 3754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2272.2628*5.\nAnswer: 11361.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a + 38*a**2 + 21*a - 3 + 12*a - 63*a to the form n*a**2 + f + k*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**2 + 11*k + 11. Let f(t) = 5*t**2 - 10*t - 10. Let o(n) = 7*f(n) + 6*u(n). Determine j so that o(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1561098 by -2289.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (19\/(-2))\/(90\/(-20)) and 65\/76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384 + -379. Suppose w*x - 70 = -3*v + 4*v, -5*x + 90 = 3*v. Solve -31*g + x = -28*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-245)*(-1)\/(-238). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4 - 148*j**3 = 0. What is j?\nAnswer: 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-8)\/(-2) + -6. Suppose q*y - 40 + 20 = 0. Sort 0, -6, -2, y in ascending order.\nAnswer: -6, -2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 59443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:37 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 91 - 3 - (-14 + 14 - (1 + -17))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -10. Suppose -a - 4 = -q. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192197*l**2 + 192197*l**2 - 496*l + 11*l**3.\nAnswer: 11*l**3 - 496*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) 1\/3 (b) -55 (c) -1\/4 (d) -0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1812814*q**4 - 1668256*q**2 wrt q.\nAnswer: 43507536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 - k + 10. Let c be p(9). Let h(u) = 3 - 3*u - c + 4*u + 6*u. Is h(2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 7) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 258328.8g?\nAnswer: 258328800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let r(g) be the first derivative of -g**2\/2 + g - 2. Let s = -11 + 12. Calculate s*r(x) + z(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*m = 3697 + 1099 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 6173518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**2 + 23*p - 10. Let a(q) = 2*q - 12. Let n(m) = -5*a(m) - 3*o(m). What is the tens digit of n(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 13*v - 33. Suppose 3 + 1 = -4*f, -36 = -3*m - 3*f. Calculate the remainder when m is divided by r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 12, 104, 5, -234.\nAnswer: -234, 0, 4, 5, 12, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 222179 at least as big as 222180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + 2*l**3 + l**4 + 5*l - 269*l**2 + 271*l**2 in the form d + y*l**3 + m*l**2 + t*l**4 + u*l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 245\/6. Let x = 9 - 14. Let u be ((-10)\/x)\/(2\/(-4)). What is the biggest value in u, -0.02, s?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 30*w + 16*w + 18)*(-4*w + 10*w + 5*w).\nAnswer: -154*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2*5 + (sqrt(13) + 2)*4 + 4.\nAnswer: -6*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/24 - w**3\/3 - w**2. Let f be p(-3). Is (f\/(-2))\/(5\/(-190)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -16. Let a = -34.5 + 35. What is the closest to b in a, 3\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3026 is divided by 1181.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -17. Let y be (-4 + 30\/9)*z. Suppose y*k + 2*f - 14 = -2*k, -3*f = k - 11. Solve s - 3*t = -k*s - 9, -t + 5 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 234*z - 234*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 33*c + 1. Let u be f(3). Does 20 divide -20*(u\/(-12) - (-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12 and -133\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110033\/87 + 43\/174. Let d = 1288 + b. What is the common denominator of (29\/(-4))\/(132\/72) and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from gegdegdeeguu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 84. Determine m(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-22 - -19 - (0 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.647 - -0.66. Let r = -2.013 + v. Is 12 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-6)\/9)\/((-2)\/(-42)). What is the hundreds digit of 955\/k + 100\/175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48008798.8 - -48008454.8000208. Let a = 344 + t. What is a rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(468)*-2)\/(sqrt(441)*-1))\/((sqrt(280)\/(sqrt(7)*-2))\/((2*sqrt(70) - sqrt(70))\/sqrt(7))) + -2.\nAnswer: -2 + 16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*g + 4, 5*h - 5 = -3*g + g. Which is the nearest to 0.5? (a) h (b) -0.4 (c) 0.02 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3860, -7812, -11774, -15746?\n\"Answer: -5*d**2 - 3937*d + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 50\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2536 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q\/((q*q**0)\/q))\/q*q)\/q))\/q**(3\/7))\/(q\/(q\/((q\/q**(-2)*q)\/q)*q)*q)**(-45))\/((q*q**(-2\/7)\/q)**(-22)\/(q*q**2\/q*q)**(4\/7)) assuming q is positive.\nAnswer: q**131","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2. Let z(b) = -3*b**2 - 8*b**2 + 6*b**2. Determine z(o(n)).\nAnswer: -180*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -140058.02, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 214.33\nAnswer: -21.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/3 + 6*c**2 - c. Let w = 21 - 15. List the prime factors of i(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/127 and -41\/1397?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 + 3*h**2 + 6*h - 7. Let p be 4 + (0 - 2) - -1. Let y be d(p). Let c = 10 - y. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 0.01\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**8\/56 - b**4\/12 + 9*b**2. What is the second derivative of g(f) wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.15 - 55.15. Let r = -53.6 - h. What is the second biggest value in -0.5, r, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19922 - 21467?\nAnswer: -41389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**7)\/o)\/o)**27)**(-3\/13) assuming o is positive.\nAnswer: o**(648\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 21122121?\nAnswer: 21122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42030 - 240?\nAnswer: -42310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/((-2 + 4)\/2). Suppose -4*l = 5 - a. What is the least common multiple of l and ((-8)\/(-6))\/((-8)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194040 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*27\/252*(-16)\/(-12). Factor 12\/7 + l*f**2 - 16\/7*f.\nAnswer: 4*(f - 3)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 - 3*t - 1. Let v be r(5). Let h = 5 - v. Let f = -576\/7 - -82. Sort f, -3, h in ascending order.\nAnswer: h, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117167 and -2564?\nAnswer: 300416188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-11)\/33) + 4. Let w = 0.3 - 0.3. Let j = w - 0. Which is the third smallest value? (a) j (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -47 - ((-8833)\/(-2409))\/(22\/(-102)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgyfafysgfstsaay. Give prob of picking 2 g and 1 f.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15570 < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2518541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 288. Let s = v + -46. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -174*p**3 - 7*p + 11. Let t(d) = -d + 2. Give a(w) - 5*t(w).\nAnswer: -174*w**3 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - 3013\/(-5764)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269330 is divided by 305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-18)\/(-6)))\/((-28)\/12)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -806, -808, -810, -812, -814, -816?\n\"Answer: -2*v - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 45. Suppose -5*b + 45 = 2*i + 3*i, k = 5*i. Suppose h = -0 + 36. What is the highest common divisor of h and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7a881 (base 14) to base 13.\nAnswer: 1239855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 2459392.\nAnswer: 86078720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 1 + 0 + 1.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 549*s**3 - 22278*s**2 + 221125*s + 178608 = 0. Calculate s.\nAnswer: -3\/4, 16, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315487149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b*j**2 + 1611214*b + 2332*j**2 + j - 10775 with respect to b.\nAnswer: 12*j**2 + 1611214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 90. Suppose 5*s + 3*l - x - 19 = 0, s - 20 = -3*l. Solve -2 + s = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 1 + k + 4*k. Let l be o(2). Suppose n = l*n - 2. Solve -4*m - 3*c - 5 = 0, -3*m + n = -8*m - 2*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -2\/19, 8263, 0.08, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 6:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91810 - 55535. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/231)\/(-5)*(-7)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f - 1. Let o be l(1). Let c = 11 - o. Suppose c*w - w = -880000. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 + 2 + 2 - o. Let x be n(9). What is the nearest to 1 in 4, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -277*r - 1 - 3*r**3 + 538*r - 270*r wrt r.\nAnswer: -9*r**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -3 - 0) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15138 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18661 is divided by 847.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01343636 rounded to 5 decimal places?\nAnswer: -0.01344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*b + 133*b - 140*b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3285)\/135*(-1 - 2)*1. Let d = 173 - t. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2\/3*f**3 + 0*f**2 + 0*f - 5. Let s(w) = -w**2. Determine s(v(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d + 2592. What is k(-83)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 694.1 - -1.\nAnswer: 695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*t + 4*r, r + 4 = 5*r. Put t, -3, -7, 0, 0.5 in decreasing order.\nAnswer: t, 0.5, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20 + -8)*4\/(-8). Let l(i) = -2*i**2 - 12*i + 6. Give l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/((1*sqrt(500) + sqrt(500) - sqrt(500)) + sqrt(5)))\/(-4*sqrt(486)*-1).\nAnswer: sqrt(5)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:56 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t**4 - 749632*t**3 - 4048436*t**2 - 5997872*t - 1799376 = 0 for t.\nAnswer: -3, -2, -2\/5, 37487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 1 + 19, -4*n = r + 45. Let g = n + 37. Let s = g - 24. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 7*b. Suppose -60 = -5*j - b. Calculate the highest common factor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 1248*d - 71 = -1251*d, -5*a + 4*d - 83 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27528 divided by 93\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8052505*b**3 - 4026250*b**3 - 4026250*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 3578185?\nAnswer: -3578200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:33 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 e when three letters picked without replacement from etteeetv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-5\/7)))\/j**(3\/38))\/(j**18\/(j\/(j*j**8)*j)) assuming j is positive.\nAnswer: j**(-6861\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (422\/3376)\/(1\/(-136))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(12)*2 - sqrt(12)))\/(-2*sqrt(64) + sqrt(4)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 4*s**2 + 4*s - 5. Determine j(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 841 and 406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -499 - -328. Let w = c - -413. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210821 is divided by 109?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**2 - 4*g + 13. Let l be 2\/(-1) - (-14)\/1. Let n be (-2)\/l - 1391\/78. Let h = -27 - n. Let z(k) = 5*k**2 + 2*k - 6. Give h*z(u) - 4*c(u).\nAnswer: -u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {v: 4, u: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - (-27 - -24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 151*i**2 - 358*i + 511. What is b(-73)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 16\/7?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1477 - 1475 - 55*i**2 + 13*i**2 + (-4 + 4 - i)*(-i + 0*i + 3*i))*(58 - 58 + 22*i**2).\nAnswer: -968*i**4 + 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 534\/27 + 14\/63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 7. Let z be n(-5). Suppose -10 = -z*d - 0*d. Suppose 4*m - 4*u = 0, -4*u + 12 = -0*u. Calculate the remainder when d is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**3 - 7*r**2 + 5*r + 6. Let i(m) = 7*m**3 + 6*m**2 - 4*m - 5. Let l(h) = -5*i(h) - 4*j(h). Calculate the remainder when 37 is divided by l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 92\/3 (c) 40 (d) -2\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -11, -6, -0.5, -47 in decreasing order.\nAnswer: 5, -0.5, -1, -6, -11, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3*z**5\/5 + 21*z**4\/4 - 18*z**3 + 30*z**2 - 24*z - 747. Factor i(l).\nAnswer: -3*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 850 = -3085. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 672733?\nAnswer: -672730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2529 and 21075?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p - 52 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 1.3. What is the third biggest value in -3\/2, 4, l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113 - 18 + 21 + 108)*(-5*d - 10*d + 5*d).\nAnswer: -2240*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134.8 - -39.8. Let c = 109.8 + -14.6. Let v = j + c. What is the closest to -1 in v, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/5, 2\/29, 2\/129?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.5 - 31. Which is the fourth biggest value? (a) r (b) -5 (c) 2\/9 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 16) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 2, q: 13, t: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, w: 7, y: 2, z: 1}. What is prob of sequence bbb?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:55 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -39. Let b = -32 - y. Is b < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9ab06 (base 14) to base 5\nAnswer: 44002341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50085.508 + 50468.508267. Let p = 383 - q. What is p rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2981 - -3434. Calculate the remainder when h is divided by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*v = 55, 5 = 4*n + 2*v - 25. Let o be 46\/(-10) - 4\/n. Let b(t) = -t**2 - 4*t - 4. Give b(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10218 divided by 3.\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3 - 1 + 1 + 6*m. Suppose 0*k - 3*a = -5*k + 30, k = 2*a + 13. Let j(q) = -4 - 5*q - k - 8*q + 0. What is -9*g(r) - 4*j(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3225*y**2 - 45*y. Let g(p) = 208012*p**2 + 2898*p. Let q(t) = -322*c(t) - 5*g(t). Let v(j) = -2*j**2. What is v(q(n))?\nAnswer: -5184200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200396.79 months to centuries.\nAnswer: 166.997325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*6*(9\/(-3))\/(-135)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 17*c**2 + 31*c - 7. Give y(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 62.00296ml?\nAnswer: 0.06200296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 8:38 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273362084 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 6*y + 10. Let q be t(-7). Suppose -3*z = 2*d + q, 5*z - 1 = -d + 1. Calculate the remainder when 21 is divided by 11*(d + 1 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -33450203?\nAnswer: -33450202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 3. Let h be r(-5). Suppose -4*c = y - 21, -h*c = -2*y - y + 7. Suppose 0 = -c*j - j + 80. Solve -j = 3*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 11*x + 12. Let y be i(10). Suppose -5*w + 42 = y*w. Let p be ((-2)\/w - 0)*(51 + -39). What is the closest to -2\/9 in p, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2464, 661, -2344, -6551?\nAnswer: -11960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*o - 3*x, 0 = 2*o + 3*x - 67 - 51. Suppose 0 = -9*q - o - 55. Let d(r) = -4*r - 21. Does 4 divide d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, p + 3*p + 3*t = 12. What is the first derivative of -28*w**3 + 10*w**p + 2 + 17 - 1 wrt w?\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 67*s**2\/2 - 2059*s\/4 + 481.\nAnswer: (s - 13)*(s - 1)*(s + 148)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12265 + 2?\nAnswer: -12263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4*m + 24, -2*v = 3*v + 2*m - 16. Suppose -1220 = -v*u - 5*f + 40, 2*f - 8 = 0. Let o = 584 - u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4866)\/(-4) + 2)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263 - 204. Let c = 0.4238028 - 59.4230628. Let x = u + c. Round x to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106.05 + 109. Let c = -0.05 - m. Let f be (-1)\/(-5) - (-19)\/(-45). Put f, c, -1 in increasing order.\nAnswer: c, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -21, -14, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose 9*w - 4*w - 42 = -t*n, -3*w - 45 = -3*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + s**3 - 3)*(-18*s + 33*s - 20*s) + (s**4 + 2*s**4 - 4*s**4)*(-3 + 2 + 0) + s**2 - s**2 + 2*s**2 + 2*s**4.\nAnswer: -2*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 2302874*i**2 + 2*i**3 - 2302874*i**2.\nAnswer: 2*i**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*p - 17, 0 = -w - 14*p + 16*p + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - 249\/9. Let d = n - -81. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfuttsn. Give prob of picking 1 t and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 1\/2, 1\/4, 0, -3 in decreasing order.\nAnswer: 1\/2, 1\/4, 0, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.8188855 to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 826 - 825.8. Let f = -186 - -453. Is s bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*t - 176, -2*t - 4*l + 112 = -0*t. Suppose 0 = 4*y - 12*y + t. Solve -y*s + 8 = 48 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (-2 + 4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/f**4)\/f)\/f**(1\/4)*(f**(1\/2))**6 assuming f is positive.\nAnswer: f**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/15? (a) 5 (b) 0.95 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.9726 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -42, 6503 in decreasing order.\nAnswer: 6503, 71, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 4*o - 25, -56*o + 51*o + 100 = -10*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 5}. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-51*i + 97 - 97) + 9 - 28 + 4*i + 32.\nAnswer: 55*i + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50336951 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 91?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w**2. Let j(s) be the first derivative of -65*s**3\/3 + 1840. Give l(j(r)).\nAnswer: -25350*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -1) + 1 - 236. Let k = -129 - w. Calculate the remainder when k is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*p + 7 = 4*m, 5*m - 23 = -2*p. Let q(h) = 1 + m*h - 3*h**2 - 2*h - 2*h**2 - 4*h**3 + 4*h**2. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Suppose i = 5*f - 15 + 145. Let a = -17 - f. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208266810 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44389?\nAnswer: 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 8*d**2 - 9*d + 3. Let a be m(9). Suppose 3*w = -a*t + 18894, 5*t + 6310 = w - 0*w. What is w rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 144, 317, 570, 909, 1340?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8513846.262 to the nearest 100.\nAnswer: 8513800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2)\/(14\/70). Suppose 0 = -c*n - n + 42. Solve -3*g + 11 = 2*q, -2*g + n*g - 17 = -2*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 22.1?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*x = -42, 2*t - 4*t + x = -9. Let i(u) = -1 + 8*u - 6*u - 3*u. Give i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*5)\/sqrt(12))**2 + sqrt(637) + (-3 + sqrt(637))**2 + -1.\nAnswer: -35*sqrt(13) + 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 15*i**2\/2 - 3*i - 5. Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142504435 (base 6) in base 14?\nAnswer: -564a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 + 6*m + 4. Suppose v = -a - 46 + 122, 2*v - 137 = -5*a. Suppose -4*f = 3*w - 245, 3*w - 2*f = 207 + 62. Let t = w - v. Determine s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1805*z - 34. Let m be (18\/(-24))\/(-3 + 44\/16). Is w(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(35)\/sqrt(5) - (sqrt(28) + 2 + sqrt(28) + sqrt(28))).\nAnswer: -5*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 40 = -16. Differentiate -8 + 4 - 5 - w - 14*s**3 with respect to s.\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7351811.\nAnswer: 523, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -64702 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 6*a + 101*a - 40 - 33 + 149 - 39.\nAnswer: 95*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - -136) + -10 + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -0.25. Let i be (15\/(-20)*-2)\/((-1)\/4). Let t = 12 + -11.5. What is the biggest value in k, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**5\/10 + 13*m**4\/4 + 49*m**3\/6 + 6*m**2 + 2604. Factor x(j).\nAnswer: j*(j + 1)**2*(j + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -0.089151635.\nAnswer: 4.910848365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - k + 2. Let m be n(4). Let t be 18\/4*m\/(-3). Let o be (-6)\/4*-6 - t. Solve o = -3*i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -234\/443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -15*v + 4. Let i be j(-6). Let o = i - 57. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:31 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, -53, 122 in decreasing order.\nAnswer: 122, 15, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2825\/226*(-8)\/10. Is 12 a factor of 255 - (o + -3 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, k: 1, p: 2}. Give prob of sequence jjkj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1776, 7062, 15838, 28092, 43812, 62986, 85602?\nAnswer: 111648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11984 divided by -4.\nAnswer: -2996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1356192 and 23055264.\nAnswer: 23055264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1211 and 49?\nAnswer: 8477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348979 or 349025?\nAnswer: 349025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 583 + -187. Suppose 10*s - h = -386. Let o be 1 - 0 - 12\/9. Which is the nearest to s? (a) -3\/7 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*i**5 - 6*i**4 + 28*i**5 - 17*i**5 - 5*i**3 + (-2*i**2 - 2*i + 2*i)*(-10*i**3 - 14 + 14).\nAnswer: 21*i**5 - 6*i**4 - 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67380625 and 3250?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/(-5) - (-9)\/(-18). Solve -r + 1 = -2*f + 2, -f + r - 1 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k - 11. Let o be u(6). Let v(m) = -m + 5*m + 0*m. What is the units digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45087 at most -45163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 337, 736, 1427, 2404, 3661?\n\"Answer: -r**3 + 152*r**2 - 50*r + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**3 + z**2 - z. Determine m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eljll. What is prob of sequence jl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 1703834769?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 + 308.922. Is -1\/17 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 + 0.2285.\nAnswer: 32.2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347666 is divided by 173665?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63\/1220? (a) 1 (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x - 3. Let u(l) = 6*l - 4. Let g(b) = -3*q(b) + 2*u(b). Suppose h - 2*h = -4. Suppose -6*s + 1 = -2*s + y, -16 = -h*s + 4*y. Give g(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k - 1. Suppose r = -4*y + 12, -3*r + 3*y = y - 8. Let j(u) = -3*u - r - u + 4 + 1. Let f(q) = -5*b(q) - 8*j(q). Determine f(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - 7\/((-14)\/(-4)). Let a(w) = -w**3 + 8*w**2 + 10*w - 4. Let q be a(r). Suppose q*g = 2*g + 12. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17540 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-6))\/((-1)\/(-15)). Let q = g - -33. What is the smallest common multiple of 22 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -264, -264, -272, -294, -336?\n\"Answer: -f**3 + 2*f**2 + f - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 20*g + 4595. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = -7. Let t be 1 - (j + 11 + 2). Let q = 1 - t. What is the remainder when 28 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l**2 + 7*l**2 - 7*l**2 - 5*l**2 - l**2 + 0*l**2 + (0 + 0 + 3*l)*(-2*l - l + 2*l) to s + u*l**2 + c*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let d(x) be the second derivative of 0 + 0*x**3 - 169\/6*x**4 - 45*x + 0*x**2. Determine d(k(p)).\nAnswer: -338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 922859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8327\/(-22) + -5)\/(4\/(-56)). What is the highest common divisor of v and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 36 - 42 = 3*k, -4*t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31, -1\/3, -31180, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499939?\nAnswer: 3, 13, 23, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 1765?\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000448423117 to 7 dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*m = 17, -7*h + 7 = -4*h - 5*m. Suppose -c = x, -2 = h*x + 5*c - 0. Is 6 a factor of (x\/3)\/((-6)\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {g: 1, j: 5, p: 5, n: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 + 103 - 94)*(132*w + 25*w - 11*w).\nAnswer: 21462*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1011927 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - d + 0)*(d - 4*d + 4*d)*(7 + 2 - 32)*(2 + 0 + 0) to the form y*d + q*d**2 + z and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-33)\/(z*z**2)**9*(z\/(z\/(z**(1\/4)\/z)))\/(z\/((z\/(z*((z\/(z**(-4\/11)*z*z))\/z)\/z))\/z))*((z*z*z**(1\/2))\/z)**(-30) assuming z is positive.\nAnswer: z**(-3173\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 - 9*f**3 - 1 + 7*f**3 + (0*f**2 + 2*f**2 - 4*f**2)*(-3*f - f + 3*f) - 5*f**3 + 22*f**3 + 37*f**3.\nAnswer: 50*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = s + 5*j, -3*j = j + 12. Solve -h = 2*u + 2*u - 13, -5*u = -s*h - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 57. Suppose -3*c + 22 = o. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2 - 45\/(-24)). Let l = z + 22. Suppose 3*x + 2*x - 4*t = l, -2*x = -2*t - 6. Solve 0 = 5*i - 3*i - x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 162 = -0*h, -11*d + 101 = 13*d - 28*d - 3*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1 + -5 + -2 + (sqrt(147)*-1 + sqrt(147))**2 + (sqrt(147) - (sqrt(147) - (0 + sqrt(147))*5))*-6)*2*-3.\nAnswer: 42 + 1218*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 36 - 96*o - 80*o + 228*o as v*o + a and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 7 = -7*b. Let x = 20 - b. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 + -38. What is the greatest common factor of w and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 93250*y**2. Let t(r) = -r**2. Determine n(t(x)).\nAnswer: 93250*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8459 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/a**6*((a**(-1\/6)*a)\/a*a)\/(a\/a**(-4)) assuming a is positive.\nAnswer: a**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 63456*p - 3 = -63457*p - 14, 2*f = p - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691695623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9573.2 rounded to the nearest one hundred?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(21)*-2)\/(sqrt(30)\/(sqrt(10) + sqrt(10)*4)).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = k - 3*j, 0*j = k + 2*j - 14. Suppose -n = n + k*x + 4, -x + 2 = -n. Let a = n + 5. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - t + 13. Let g be x(-6). Let n = 1122 - g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2 = -7, 41 = -4*r + 5*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 31553432?\nAnswer: 31553454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*x = 0, -5*i - x = 3*x - 17. Suppose 168 - 186 = -9*c. Solve c*n - 7*n = -4*q - 31, -2*q + 7 = i*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 2 + 3)*(-5 + 1 + 0) + 0 - 2 - 6)*(-4 + 3 + 2)*(-2*r + 0 + 0) in the form s + o*r and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 4062*v - 194236.\nAnswer: -2*(v - 1982)*(v - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 + 16 = 0. Suppose -5 = -2*q + x. Suppose 3*i - 54 - 18 = 0. Solve -q*r - 1 = i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.3 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 317221873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/6)\/(450\/1080).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82.9 and 0.053.\nAnswer: 4.3937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9693 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 24*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17970496 = 130*m + 17977646 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6608786 (base 9) to base 13.\nAnswer: -973761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-396) + 2\/(-6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 10 = -b + 2, -2*b - h + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/2 - 17*o**2\/2 + 16*o + 70 = 0. What is o?\nAnswer: -2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04984199 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 141912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:08 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14691.99995984 + -14692. What is x rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3267)*4)**2*3.\nAnswer: 627264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 - 22 = 0. Let u be (-9)\/3 + 5 - m. Let c = 55 + u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-837)\/18)\/(6\/(-8)). Suppose -4*n = -5*y - d, -y - n = 5 + 2. What is the tens digit of (-124)\/y + 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - -0.14. Let v be ((-12)\/18)\/((-1)\/(-3)). Let p be 1\/v - (-2)\/12. Which is the smallest value? (a) 0 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*b, -b + 0*b = -3*u + 10. Let c(z) = -8 + 6*z + 2 - 3*z - 4*z. Determine c(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38407750, 76815501, 115223252, 153631003?\nAnswer: 192038754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -913*c**4 + 2*c + 3*c**2 + 11*c**3 + 3 + 914*c**4 - 3 to x*c**2 + r + i*c + m*c**4 + q*c**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u*u*u\/u**(2\/7))\/u))**(-7))**(-40)*((u**(-2\/5)\/u)**(-1\/5))**(-24) assuming u is positive.\nAnswer: u**(-12168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x + 75. Suppose y = 6*p - p + 124, 3*y = -3*p + 390. Let g = x + y. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52026*f**3*y - 15*f**2*y - 224*f**2 - 3*y wrt f?\nAnswer: 312156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 + 274a?\nAnswer: 2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aawdeoaddedee.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/(-80))\/((-9)\/165). Let r(w) = -w + 31. Give r(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-24)*-70*((-11)\/5 - -2)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 60*c**4 - 1052*c**3 - 868*c**2 + 2588*c - 728 = 0.\nAnswer: -2, 1\/3, 1, 91\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 2*a + 28. Let j be d(-4). Put 6, -3, j in descending order.\nAnswer: 6, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (10\/(-15))\/(4 - 65\/15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 525622298.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56153 and -2?\nAnswer: -112306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -29, -65, -107, -155, -209, -269?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 296\/(-259)*14\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114050 (base 7) in base 3?\nAnswer: 1001021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2. Suppose 0 = -3*q - 5*k + 31, 2*q + 2*k - 14 = -0*q. Let p(m) = -156*m**q + 77*m**2 + 75*m**2. Determine p(h(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(44) - -3*sqrt(396)\/sqrt(9)) + sqrt(44) - sqrt(44)))\/((5*sqrt(48))\/sqrt(12)*-6).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -79, 0, 102, 1 in descending order.\nAnswer: 102, 1, 0, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78448297*r**4 + r**2 + 62689832*r wrt r.\nAnswer: -1882759128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75, 1, 4 in ascending order.\nAnswer: -1, 1, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttdt when four letters picked without replacement from qqtttttottdq.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:02 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q + 8*q - 80 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8947214 millennia in centuries?\nAnswer: 8.947214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 11 = 3*o, -3*g - 6*o - 4 = -8*o. Is g bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14 and 575.86891329655.\nAnswer: 575.72891329655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*m**3 + 76\/5*m**2 - 2\/5*m - 76\/5 = 0.\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:26 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 341 + -333. Suppose 0 = 25*q - k*q - 1428. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3900 - 3136. List the prime factors of u.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhcvccvhhcvv. What is prob of sequence ccch?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743837?\nAnswer: 3, 23, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 19. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -573 and -80.05?\nAnswer: 492.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = -3*r + 1, 0 = -4*z - 4*r - 12. Let b = -1 - 0. Put 3, b, z in descending order.\nAnswer: 3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/123569051 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 334 = -62*w - 1108 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17021, -16970, -16919, -16868, -16817, -16766?\n\"Answer: 51*a - 17072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9720986 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191859 - 135796. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 + 4156*s + 23749462.\nAnswer: 2*(s + 11429)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76685737?\nAnswer: 4409, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -11966086\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(24)\/(sqrt(16)\/sqrt(2)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*2)\/(11 - 10). Put 5, 20, i in ascending order.\nAnswer: i, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504.31543 + -481.315. Let i = -23.09 + 0.09. Let n = g + i. Round n to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*((2*sqrt(270))\/sqrt(9) - (1*sqrt(120) + sqrt(120))))\/((-2*-2*sqrt(120) - sqrt(120) - sqrt(120))\/(2*sqrt(48))).\nAnswer: -12*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25215110043 + -3?\nAnswer: -25215110046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 176723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = -20*s + 277 + 787 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u = -85*u - 165 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.1, 2\/47, 5.\nAnswer: 2\/47, 0.1, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:22 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**2 + 2 + 2*k**2 + k**3 + 2. Let v be g(9). Suppose -v*b + 41 = -35. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -44 + (-42 - (-82 + -46 + 65)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/3)\/m))**(-9))**(2\/5)\/((m**2)**(-7\/8))**(-23\/4) assuming m is positive.\nAnswer: m**(-1477\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722, -774, -878, -1040, -1266, -1562, -1934?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a10a56 (base 11) in base 10?\nAnswer: 1626422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*l - 4825 = -0*j, -2*l = -4*j + 3860. List the prime factors of j.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3 + 17733*i**2 + 7761180*i = 0. Calculate i.\nAnswer: -5435, -476, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -1\/4*x**4 - 4*x + 3\/2*x**2 + 5\/3*x**3 - 4. Is 5 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7069.289 milligrams?\nAnswer: 0.007069289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12200 (base 4) to base 8\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*s = 70*s - 63763. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 - 3*c**2\/2 - 3*c - 4. Suppose -30 = -2*h - 3*h. Let r be x(h). Solve 6*d - d = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 62*n - 7. Let m be (-38)\/228 - 4\/(144\/174). Let r(c) = -93*c + 10. Calculate m*r(b) - 7*o(b).\nAnswer: 31*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 93. Let n = 51.6 - p. Let w = 8 + n. Which is the biggest value? (a) w (b) 1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -11. Put 4\/3, -1\/5, -0.5, n in decreasing order.\nAnswer: 4\/3, -1\/5, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*q**2*s**2 + 116*q**2 + 2*q*s**2 - s**4 wrt s?\nAnswer: 70*q**2*s + 4*q*s - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 3*y - 6*y)*(-2 + 3 - 3 + (4 - 1 - 1)*(1 - 2 - 5)) + (0 - 1 - 1)*(y - 2*y + 0*y) - 3*y + 2*y - 3*y to the form o*y + w and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 23. Let d = 0.5 - -1.5. What is the biggest value in 4\/3, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -2 (b) -3\/4 (c) -5 (d) -304 (e) -50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkjttkatjt. What is prob of sequence ja?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61.1441 - -0.1441. Let k = 59740491.999974 + -59740553. Let x = c - k. What is x rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1325*d**2 + 35*d + 18?\nAnswer: 2650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45232 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14*31710\/604)\/(2\/16).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 702 - 14112 = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 46764400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -98.837. Let p = 0.137 + f. Put p, -0.04, 17 in decreasing order.\nAnswer: 17, p, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 9*f - 9. Determine z(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20 = a, -5*m = a - 39 + 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00761008 - 110.00743008. Let b = 109.784 - -0.216. Let l = b + q. What is l rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2157513 + 27?\nAnswer: 215753a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 4 = -5*j + 29. Let b be 0*(h + j\/(-2)). Let i(t) = -t**3 + t**2 + t - 4. Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i + 1. Let h be j(3). Suppose h*y - 3 = y. Let k = 0 - y. What is the third smallest value in k, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**2))**(-4\/25))**(-6)*(l**(-2))**(-28)*l**(-1\/16)*l**(-1\/2)\/l*l assuming l is positive.\nAnswer: l**(21407\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*p - 5*p + 122, 2*f = 5*p + 142. Suppose t - f = 18. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 37909655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = -26. What is the greatest common factor of 4160 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2 + 0 + 0 - 4 + 2*p. Let r be y(6). Is (69 - r\/3)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let q = -25 + v. Find the common denominator of (-1 - 0) + (-510)\/q and 115\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 426135*m**2 + 6500*m**2 + 4*m.\nAnswer: -419635*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 644309 - -145313.21\nAnswer: 789622.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238? (a) -0.1 (b) -302 (c) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 141677608 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.53 + 41.93. What is the closest to 39 in m, 3\/4, 1\/3, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 128 = -112. Let f be h\/180 + (-4)\/(-18). Put -1, f, 1 in decreasing order.\nAnswer: 1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.4 + 35. Let q = r + 5.65. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let k = 9.3 + -7. Let w = h + k. What is w rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005914155 rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*l + 2*l + 459, 5*d - 471 = 3*l. Let i = -34 + d. Calculate the remainder when i is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -48.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i - 11 + 3*i**3 + 2 + 12*i**2 - i**2. Let g(p) = p**3 + 5*p**2 - 4*p - 4. Let s(z) = -9*g(z) + 4*r(z). Find the third derivative of s(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19973 + -19968. Do 810 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*s - 25, -3*y - 4*s + 0 = 11. Calculate the highest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*k - 948*k - 2*k**3 - 15 + 15.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007591 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(49)\/(((-1*sqrt(70))\/sqrt(10) - sqrt(7)) + sqrt(7)) + 0.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**7\/42 + o**4\/6 - 2*o - 3. Let i(w) be the first derivative of v(w). What is the third derivative of i(y) wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 3*l. Let f(w) = 0 + 3 + 0 + 2*w + 11. Is 7 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 131*m + 129*m + 5*m**2 - 260*m as y + a*m**2 + c*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3*a**2 - 8*a - 4. Give d(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002822 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**4 + 1\/2*i**2 + 0*i + 1\/3*i**3 + 4 + 7\/60*i**5. Let y(l) be the second derivative of k(l). Differentiate y(o) wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -818\nAnswer: 2\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - j - 1. Let r(f) = -17*f**2 - 772*f - 150540. Let w(p) = r(p) + 4*y(p). Factor w(i).\nAnswer: -(i + 388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -24*p**2 - 20*p - 4. Let n be l(10). What is n rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -512 + 772. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115699?\nAnswer: 37, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmmmmmimmgmimbmm. Give prob of sequence gmb.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 22807\nAnswer: -7\/22807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 761043508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 34*x + 76 = 0. Calculate x.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000167697 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.1999914 - 8.2. What is f rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63086291 to the power of 1\/2, to the nearest integer?\nAnswer: 7943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, -5\/7, -13567?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1938145, -7752561, -17443257, -31010239, -48453513, -69773085, -94968961?\n\"Answer: -v**3 - 1938134*v**2 - 7*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*s - 36, -2*b - 964*s = -970*s + 66 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10411 is divided by 81.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -4*n + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15*h + 116 = 0. Let g = 30 - h. What is the units digit of 1 + 0 + (g - 0) + 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(16\/20))\/((-3)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 6*c + 5. What are the prime factors of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5786 less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1309)\/(-187) - ((-225)\/(-84) - 0)) + 40\/(-70).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -1590 + 11633. Suppose 113 = h - f. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35713?\nAnswer: 71, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:55 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let h be o(3). Let j(v) = -v**2 + 5*v - 3. Let m be j(h). Suppose 2*u - 1 = m. Solve -d - d = u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + o = -1 - 1, 0 = -3*j + 5*o + 2. Let h = -0.02 - -0.1. Let p = h - 1.08. Which is the closest to p? (a) 5 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 = 18*d - 5*d. Find the third derivative of 109*c**2 - 223*c**2 - 10 + 113*c**2 - d*c**6 wrt c.\nAnswer: -5400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2163986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42414 is divided by 21196?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/(y\/(y**1*y))*y*y))**(-14\/9)\/(y*y*y*y**(-2\/3)\/y)**(1\/11) assuming y is positive.\nAnswer: y**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-174)\/42*19\/179. Let i = o - -2\/179. Is -7.4 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1268457 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeuu. What is prob of picking 1 e and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-16)\/12 + 1)*-3. Suppose 2*n + 0*n - 89 = -a, s = n + 2. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - 5\/2. Which is smaller: -4\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -131250*q + 7. Let h(a) = 1. Let k(s) = 28*h(s) - 4*n(s). Let d be k(8). Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*((-124)\/(-1488))\/(2\/(-4)))\/((-9)\/(-666))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 + 2)*(136\/6 + 8)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-5*sqrt(14)\/sqrt(7)) - -4*-3*sqrt(180).\nAnswer: -361*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 64. Suppose 3*i - b - 80 = 0, 4*i - 26 = 4*b + z. Calculate the remainder when 159 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-364)\/(-12))\/13)\/(10\/15)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - r = 16, -29 = -4*p - 5*r + 2*r. Calculate the lowest common multiple of p and 293.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 - 1305*y**2 - 265902*y + 267208 = 0. What is y?\nAnswer: -1052, -254, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 872359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/13 + 174464*f\/13 - 2093280\/13 = 0. What is f?\nAnswer: 12, 87220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 - 1 + 1)*(0 - 1 - 4) - 2*n**5 - n**2 + 3312631*n**3 - 33 - 3312631*n**3.\nAnswer: 8*n**5 - n**2 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214000 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + -6*2*sqrt(204) + sqrt(204))\/sqrt(12).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -l - 4*f, -l + 0*f + 10 = -f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64576304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geuqutugggtuqeo. Give prob of picking 1 t and 2 u.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4.5. Let c be ((-39)\/(-52))\/(15\/8). Let v = 3 + -4. What is the smallest value in q, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1742205 - -60?\nAnswer: 1742265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + 3*p + 7. Let v be w(-6). Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -62*y**3 + 2*y**2 + 7*y. Let s(b) = 31*b**3 - b**2 - 3*b. Let q(z) = -2*f(z) - 5*s(z). Is 18 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a decade in months?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-2)\/(-1)) + 8025 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 8*d**2 - 58*d - 33. Let a be q(5). What is the nearest to a in 0.12, -5, 25?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 + 856\/5. Let y be -6 + (-7 + 180\/27)\/((-5)\/84). Which is the nearest to -1? (a) d (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 2*n, 2*n + 2*n - 20 = -5*u. Let d = 0 + u. Sort d, -2, 2\/3.\nAnswer: -2, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21712269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:44 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 885451780 to the nearest one hundred thousand.\nAnswer: 885500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1351575767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640796135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.7555km in micrometers?\nAnswer: 176755500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 + 2*k + 2. Let v be o(-3). Suppose -v*x + 6 = -12*x. Solve -x*w + 2*r + 0*r = 11, 8 = 2*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133043, -266165, -399289, -532415, -665543, -798673?\nAnswer: -931805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (20 - (-1 + 3)). Let a = -174 - -357. Let w = -71 + a. Calculate the highest common factor of z and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788629 is divided by 462?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 383985?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 1092 - 426*f**2 + 1075 - 2171 to the form z*f**2 + t*f + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3506.89401 to 0 decimal places.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2500208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcn when three letters picked without replacement from {r: 1, a: 1, n: 2, v: 1, c: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 490 + -366. Suppose o - 46 = 2*l. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 4649.\nAnswer: 5\/4649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.011 and -0.1904 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:41 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - u = -3*u + 24, 0 = -5*h + 3*u - 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s + s**3 + 6*s - 6*s**3 wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 9305940.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i - 22*i = 570 - 3437. Solve 45*z = i - 241 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3321842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 (base 12) in base 2?\nAnswer: 101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 238*n + 3328. Let u be t(-18). Let m = -0.1 - 0.4. Which is the third biggest value? (a) u (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188437.\nAnswer: 188437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(448) + 5)**2 + 1*(sqrt(448) + 2*sqrt(448)) + (-1 + 1 + sqrt(448) + 0)*4.\nAnswer: -24*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 219*z + 36 = 223*z, 4*c = 3*z + 11 - 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -869, -3650, -8601, -15980, -26045?\nAnswer: -39054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 17 - 12 - 17 - 9*m**2 + 28*m**2.\nAnswer: 19*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*z = -120*z - 28. Solve 11*t = z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2247 divide 1479957833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 14*m**2 + m + 19. Suppose 4*x - 76 = -7*f + 3*f, -8 = -2*f + 4*x. Calculate the remainder when 96 is divided by n(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:29 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 76178*k. Let s(o) = -828*o. What is -369*s(g) - 4*t(g)?\nAnswer: 820*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6241301128 and 0.3?\nAnswer: 6241301128.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 6:28 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238464 = -286*j + 259*j. Suppose -14*s - j = 9*s. Is s greater than or equal to -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 27, 31, 35, 39?\n\"Answer: 4*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.038 - -30.962. Let q = -22.071 - -1.071. Let r = i + q. Which is bigger: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1178 - -1187. What is the remainder when 1\/(-4) - (-426)\/8 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/5 (b) -0.4 (c) 150192 (d) -1\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030390052?\nAnswer: 2, 3, 169199171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 3408*l**4 + 165*l**2 + 12.\nAnswer: 60*l**2 + 81792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 + -5. Determine c, given that 8*c + 73 - 6 + y + 4*c**2 - 56*c = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 100166.91 months?\nAnswer: 8.3472425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/60*168\/(-189)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 times -42865?\nAnswer: -2228.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179790619.\nAnswer: 7, 541, 311537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249833417*a**2 - 178113837 wrt a.\nAnswer: -499666834*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (792\/(-660))\/((-9)\/(-345)) + 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 7*h - 4. Let w be j(8). Suppose -4*y - w*t = -8, -3*y + 11 = -2*t - 20. Let o = y + 3. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2)*3 - (sqrt(2) + 2 + -3))**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 - (66 + (-37 - -17))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(29\/(-12) + (-30)\/(-18)). Suppose 2*j - 2*q - 8 = -0*q, -j - q = 4. Let k = 146 + -148. Sort -4, i, j, k in ascending order.\nAnswer: -4, k, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28235094969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4271041\nAnswer: 2\/4271041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**7\/105 + d**6\/120 + 4519*d**5\/60 - 1167*d**3 - 3*d**2 - 3. Differentiate o(z) wrt z.\nAnswer: -8*z**3 + 3*z**2 + 9038*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 34363780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 4. Suppose 131 + 61 = -2149*g + 2161*g. What is the lowest common multiple of g and v(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 218*k**2 + 48*k - 8. Let s(c) = -c**2 + c + 4. Let u(f) = 3*m(f) + 6*s(f). Find the second derivative of u(b) wrt b.\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x + 24*x - x - 4*x.\nAnswer: 71*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5850 + -5847. Let w(p) be the second derivative of 0 - 6*p + 2\/5*p**5 + 0*p**h - 11*p**2 + 0*p**4. Find the first derivative of w(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*i + 64, -2*i = -4*g - 0*g + 50. Suppose -4*a - a - f = 26, 5*a - 5*f = -20. Let o = -3 - a. Solve o*t = -c + 9, c - g = 3*c - 4*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00143221 to five decimal places.\nAnswer: -0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t - 1. Let l(k) = 8 - 2 + 12*k - 10*k**2 + 9*k**2 + 10. Let h be l(13). Let j be a(h). Let n(g) = -g**2 + 6*g - 3. What is n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10031 - -110203130?\nAnswer: 110213221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39 + 5\/((-15)\/12). Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23320 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - g = 40, g = -5*t - 4*g + 230. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:08 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a year in months?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkkklk. What is prob of sequence kk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 43110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15334\/(-1804)*(-30)\/119.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117)\/(-6*1*sqrt(9)) + -3*sqrt(39)\/sqrt(3)*6.\nAnswer: -109*sqrt(13)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*v, 5*x + 2*v = 281457 - 88034. Round x to the nearest 100.\nAnswer: 38700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -88047629.9 and -0.8?\nAnswer: 88047629.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 38*q**2 + 95*q - 513. What is s(-35)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 2. Let t be p(-4). Let f(b) = 7*b - 5. Suppose -r - 3 = 4*h, 4*r - 28 = -0*r + 4*h. Let w(j) = -3*j + 2. Give r*w(n) + t*f(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 29*f - 23100. Calculate the least common multiple of 490 and f.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116\/11? (a) 2 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -131507 (base 9) to base 10\nAnswer: -79873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 9*k - 3. Let o(m) = 14*m**2 + 27*m + 9. Let s(f) = 4*o(f) + 11*x(f). Let n be s(-8). Let b = 28 + n. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27277, -34973, -42669, -50365?\nAnswer: -58061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0119, -739\/11, -1\/28?\nAnswer: -739\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950 + 642 = 162*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*i = -324*i + 766*i + 7298 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3\/8, -0.1, -61?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 5438 = 4*i + 5450, -l = i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607040.3 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 31*r**7\/35 - 217*r**5\/12 - r**3\/3 + 201*r**2 + 2. Find the third derivative of v(t) wrt t.\nAnswer: 4464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 19*o + 6 - 1. Is c(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5807, 5823, 5841, 5861, 5883?\nAnswer: 5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/12)\/((-2420)\/(-630) - 4). Do 2 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i + 5. Determine c(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f - 3. Let i(q) = -204521*q + 4. Calculate v(i(z)).\nAnswer: -818084*z + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s**2. Let v(t) = 373*t**2. Determine o(v(l)).\nAnswer: -2086935*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-63))\/(20\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 6:00 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -25*l**2 - 1060*l - 420 = 0.\nAnswer: -42, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0 = 2*h - 18, -217 = -3*p - 205 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h**2)**(-26)*(h\/h**(1\/2)*h\/(h\/((h\/h**(-1))\/h)))**(2\/39) assuming h is positive.\nAnswer: h**(677\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 3*u. Suppose -u*m = -0*m - 66. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 4391.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62\/18525 - -1\/1425. Let r = g - -2216\/1729. Is r >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007097539 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22058, -88922, -200594, -357074?\n\"Answer: -22404*f**2 + 348*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 + 3*r**2\/2 + 4*r + 3. Let y be x(3). Is (-4 + 2)\/(y\/(-470)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b = -33*b + 1708. Let k = -377 + b. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)\/(sqrt(84)\/(sqrt(21)\/sqrt(3))))\/(1*sqrt(81) + sqrt(576)*1).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:18 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 599 - 554.52. Let b = 48 - h. Let j = b - 3.4933. What is j rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 528 by -51.\nAnswer: -176\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 - -690.\nAnswer: 689.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1111111110010101010 (base 2) to base 5\nAnswer: 113222214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/60 - 5*w**4\/12 - 4*w**3\/3 - w**2. Suppose 0 = -0*i + 4*i + 32. What are the prime factors of t(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, -154 in descending order.\nAnswer: 5, 1, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.04, -2\/11, 3, 52, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 119*p**3 + 22*p**2 - 7*p. Let t(r) = 3*r**2 - r. Let v(c) = -6*t(c) + y(c). Find the third derivative of v(l) wrt l.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350163 is divided by 3206?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 15 = 3*i + 83 - 3, 0 = m + 3*m + 4*i + 76 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 4*z - 4*z)*(29548 - 15001 - 14916) - 2 + z - 6*z + z to f + u*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from zzzzzzzzzzrzzrzzzzzz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/123 and -2\/2665215.\nAnswer: 109273815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -25*p + 11. Is 5 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166085\/16 - -10376. Find the common denominator of ((-2806)\/28)\/(-23) - -2 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3348, 13368, 30064, 53436, 83484?\nAnswer: 120208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*w**4 + 151*a*w**3 + 3*a*w - 2*a + w**4 - 3*w**3 + 2*w**2 - 148 wrt w?\nAnswer: 72*a*w + 906*a + 24*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1062 divided by -18\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7445, -4, 3, -3 in decreasing order.\nAnswer: 7445, 3, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 bigger than 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 53*k. Calculate o(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2381, 2067, 1535, 671, -639, -2509, -5053, -8385?\nAnswer: -12619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:23 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 1, k: 2, s: 1, m: 2}. What is prob of sequence ks?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/3 + 181793*j**4\/3 - 287860*j**3 + 1227223*j**2\/3 - 363628*j\/3 - 60604 = 0. Calculate j.\nAnswer: -45453, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajda when four letters picked without replacement from nnnndjanannnnnn.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*o + o**2 - 661*o - o**2 + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Let y be b\/12*22*-14. Let g = 114 + y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 9*g - 2696*p + 2695*p + 18 = 0, 2*p - 28 = 3*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let p = -267 - -286. Let f(i) = 2*i - p*i + 220 - 8*i - 218. Determine h(f(g)).\nAnswer: -25*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8767*r**3*x**2 - 471346*r**3 + 5*r**2 - 84*x**4 with respect to x.\nAnswer: -17534*r**3*x - 336*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 12:43 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/7 + 856*r\/7 + 127488\/7 = 0.\nAnswer: -664, -192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrwrkfrrfkfwmf. What is prob of picking 1 m and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 1. Let n be r(0). Let x = n - -2. Suppose -l = 4*w - 93, 8*l - 57 = -x*w + 3*l. 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: Four letters picked without replacement from ttytddd. Give prob of picking 2 t and 2 d.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from uivkvvpukuhupph?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4578993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 427 + -334. Suppose -y*b - 1006815 = -108*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 12287*b - 151 + 272.\nAnswer: -12287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 16*r**2 - 22*r + 12. Let h be t(17). Let u = -376 - h. What is the units digit of u\/(-7) - (-2 - (-32)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - b + 21 = 0, 0*j - 28 = 5*j - 3*b. Let z be 3\/j + 76\/10. Let a be (-42)\/(z\/(140\/(-15))). What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -263, -3625, -12745, -30503, -59779, -103453, -164405, -245515?\n\"Answer: -480*h**3 + h**2 - 5*h + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 357*k - 2908. Give x(-62).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 10, k: 1, r: 2, c: 1}. What is prob of sequence xyxk?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 40, 67, 94?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 13*t - 15. Is j(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -73636 (base 15) to base 14\nAnswer: -974bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9)*(-6)\/(-66)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*l**3 + 426*l**2 + 205392 with respect to l.\nAnswer: 45*l**2 + 852*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.72 times 448.27?\nAnswer: -2115.8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3328576164 to 5 decimal places.\nAnswer: 0.33286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:24 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/42 and 22\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 15 = -0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 9. Let o be c(4). Let f be 4\/(-2)*(-2)\/4. Let k be 1 + f*o*-1. Solve -k*j = -8*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*b + 140*b + 25*b**2)*(0 + 10 - 2).\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -115*k + 3607. What is x(45)?\nAnswer: -1568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 887 divide 707736413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - b**2 - b. Give m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 7\/((-7)\/6). Let r = 2190 - 2193. Put r, 31, -1, v in descending order.\nAnswer: 31, v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -23*u**3 - 1281*u**2 + 11*u + 11. Let o(h) = 5*h**3 + 256*h**2 - 2*h - 2. Let x(v) = -2*c(v) - 11*o(v). Find the third derivative of x(k) wrt k.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b**3*r - b**3*s**2 + 26167*b**3 + 3*b**2*s - 3*b*s**2 + 197*b - 4*r + 8 wrt b.\nAnswer: 42*r - 6*s**2 + 157002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81 + 0 - 0) + (45654 - 45622)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081*d - 3036*d + 6236*d - 8.\nAnswer: 119*d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -838 - 1312. Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/7, 0.3, -18, 10, 12\/17 in decreasing order.\nAnswer: 10, 4, 12\/17, 0.3, -3\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5844512 or 5844516?\nAnswer: 5844516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6444 or -6446?\nAnswer: -6444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -140 + (9 - -144) + (-1 - 53).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(1716\/(-72))*4\/1. Is -1 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85805 less than 16.73581?\nAnswer: 85821.73581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*z + 2578 - 2576 - 4*z in the form n + x*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144687 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -208.05585.\nAnswer: -41.61117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -6) + (-4)\/(-5). What is the smallest value in t, 3, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495*t**4 + 2*t**2 - 1359.\nAnswer: 11880*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-45)*399\/10241\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200) + (sqrt(5200) + (sqrt(5200) - (sqrt(5200) - -4*sqrt(5200))) - sqrt(5200)) + sqrt(5200))*-5)\/(sqrt(12)\/(sqrt(6)\/sqrt(2))*4).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 943 + -942.9547. What is f rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -8\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1189 - -1780. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 - 4*a - 7. Let n(y) = -28*y**2 - 8*y - 14. Let o(s) = -13*c(s) + 6*n(s). Give o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 3. Let k(w) = -w + 1. Let d(l) = -4*k(l) - q(l). Let v(a) = a + 1. Calculate 4*d(t) + 4*v(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-95) + -14*(-205)\/(-190) + (8 - -7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002571.\nAnswer: 31, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 at most 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-150))\/(4\/(-30)). Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 50. Let n = h - 35. Which is the fourth biggest value? (a) 7 (b) n (c) -3 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a4a (base 11) to base 14.\nAnswer: 5b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 minus -1196?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a610 - 3?\nAnswer: -a613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -835, -1643, -2451, -3259, -4067, -4875?\n\"Answer: -808*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078\/8195 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) - -2*sqrt(68))*3 - (((sqrt(1377) - (sqrt(1377) - sqrt(1377)*2)) + sqrt(1377) - sqrt(272)*-5) + 4))**2*-5.\nAnswer: -1203765 - 4760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*v**2 - 335*v**2 + 216*v**2.\nAnswer: -362*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 9546128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**6\/10 - 5*u**3\/6 + 4*u + 4. Let o(c) be the first derivative of r(c). What is the second derivative of o(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 - (4 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/81)\/((8\/(12\/(-3)))\/6).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:01 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174442308*t**4 + 86715841*t wrt t?\nAnswer: -2093307696*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 239*u - 1129. Let k be g(125). Solve 0 = -9*m - k + 300 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*r - 9363 = 242*r. Suppose -13889 - r = -30*v. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -264.9.\nAnswer: -264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, 8, -7, -14, 5, -3 in increasing order.\nAnswer: -166, -14, -7, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -264 + -4531473?\nAnswer: -4531757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11562861.\nAnswer: 3, 41, 94007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2278 (b) -2\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 9*z - 273 = -205, -5*u + 13*z = 99 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -86 (c) -0.066 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/(-1) + -2. Let p(h) be the third derivative of h**6\/60 + h**5\/20 + h**4\/24 - 21*h**2. Determine p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2831 and 9238?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5)*35 + 222\/(-42))\/(8\/(-336))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/717162 and 71\/44319.\nAnswer: 7888782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-43)\/15 + 355760\/300 + -10. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:46 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15277417 and 1.\nAnswer: 15277417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 + 14 = 2*k, -v = k. Suppose 4*m - k*m = 161. Let z = m - -352. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-135)\/72)\/((-12)\/8). Let w = 26 - 21. Put -5, w, v, 0.6 in descending order.\nAnswer: w, v, 0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, f: 2, p: 2, e: 2}. What is prob of sequence fwpw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23392 - 23392. Which is bigger: t or -1\/27810?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142104247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1216) + 1 + -4).\nAnswer: -9 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -11*l - 4*o + 14, -15 = -3*l + 5*o. Suppose 0*n - 3*n + 5*r - 4 = 0, 53 = 4*n + 5*r. Let p = 10 - n. Sort -2, l, -4, p.\nAnswer: -4, -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:02 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 2)\/(2\/(-6)). Let y(w) = 2*w**2 + 11*w - 11. Let s(n) = -n**2 - 6*n + 6. Suppose 3*z + 8 = -4*a - 17, 4*a - 8 = 0. Determine x*y(m) + z*s(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29*12.19\nAnswer: 353.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 + 0*b**3 + 1\/30*b**5 + 0*b + 0*b**4 + 2*b**2. Let q(a) = -5*a. Determine u(q(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3) - 2008\/2220) + -10*(-3)\/75?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.0385.\nAnswer: -4.0385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 0.4 (b) -1\/13 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkpkkkkkpkkkkkkpkp. What is prob of sequence pp?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:13 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 10. Suppose -10*s = 4*j - 8*s + 2, j = 3*s + 10. What is the nearest to j in c, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t**2 + 3*t**2)*(-2 - 1 + 7)*(20896 - 20896 - 286*t) to the form p + b*t**2 + g*t + u*t**3 and give u.\nAnswer: -5720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/31 (b) 6\/7 (c) 4\/7 (d) -2\/7 (e) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1280 and -127\/16600.\nAnswer: 531200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 44. Suppose o - 46 = -a. Solve a*y = y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564 - -563.4. Sort 93, -0.2, g in decreasing order.\nAnswer: 93, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -23. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 74\/5 of a meter?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 685 (b) -3\/152 (c) 2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -4\/5, 2, 4\/5, -1\/10 in descending order.\nAnswer: 2, 4\/5, -1\/10, -4\/5, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -5 (b) -2\/3 (c) -28 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -9 + 2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251, 1175, 1051, 879, 659, 391?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42541, -42578, -42641, -42742, -42893, -43106, -43393, -43766?\n\"Answer: -2*t**3 - t**2 - 20*t - 42518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343984029 divided by 6.\nAnswer: 114661343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 978, -0.1, -352\/7.\nAnswer: -352\/7, -0.1, 978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2915408044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -347.\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + 0.1. Let g = x - 0.3. Let l = -114\/5 - -23. Sort g, 0, l.\nAnswer: 0, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 11, l: 6}. Give prob of sequence llll.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 165422520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**4 - 12*q**3 + 57*q**2 - 78*q + 36. Let i(t) = -2*t**4 + t**3 - t. Let s(p) = g(p) + 6*i(p). Factor s(j).\nAnswer: -3*(j - 2)*(j - 1)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011100111101011011000 (base 2) to base 12\nAnswer: 1880508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 28. Calculate g(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 times 6.8903\nAnswer: -26.87217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 3*h + 3. Let o be q(1). Suppose -x - 2*p + o + 3 = 0, 2*x = -2*p + 6. Solve 3*f = 3*c + 13 - 1, x = f - 5*c - 24 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*w**2*y**2 + 3*d**2*w*y**2 - 36*d**2*w - 103*w**2*y**2 + 8*w**2 - 6*w*y + 2*y**2 wrt w.\nAnswer: -14*d**2*y**2 - 206*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 8. Let v(i) = -10*i + 15. What is 7*n(m) + 4*v(m)?\nAnswer: -5*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7180, 14359, 21538?\n\"Answer: 7179*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(13\/(-104)) + -20. Let v(u) = -u**3 - 16*u**2 - 11*u - 44. What are the prime factors of v(z)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 849*n**3 - 3 + 3 + n - 852*n**3 + 2*n**2 - 2 - 2*n**4 to the form f*n + o*n**4 + v + q*n**3 + r*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 484060\/(-14). Let q(r) = -r**2 + r + 3. Let f be q(-3). Let v be p\/72 + 2\/f. Round v to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*2*-3)\/sqrt(7))\/(-4*sqrt(256)*2).\nAnswer: 3*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18338187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-28) - (-3 - 13\/(-4)). Sort c, -1, 5, 1 in descending order.\nAnswer: 5, 1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12 + (69\/(-27) - -2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*x**4 - 2*x**2 - 279*x - 3909354?\nAnswer: -236*x**3 - 4*x - 279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40675 - -1.479871558.\nAnswer: 40676.479871558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2525.447 nanometers to centimeters.\nAnswer: 0.0002525447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1044471 and 1855?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.71 in -3, 0.5, -0.2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 4. Suppose -j = -4*j + 6. Let o(d) = 15 - 14*d**j - 7 - 10*d + 12*d**2. Let a(z) = 9*m(z) + 4*o(z). What is a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 3. Calculate the remainder when 1\/4 + (-1125)\/(-60) is divided by l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/4 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 divided by -5?\nAnswer: 637\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -0.48. Let d = b - 3.71. Let s = -3 - d. What is the biggest value in 0, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:51 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117180.3nm in centimeters?\nAnswer: 0.01171803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34499737*a**3 - 61994381*a - 2 wrt a?\nAnswer: 206998422*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -287*b**3 + 2870*b**2 + 8610*b + 2870. Let u(f) = -f**3 + 2*f**2 + 6*f + 2. Give -4*q(y) + 5740*u(y).\nAnswer: -4592*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -456216.9 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 10538073?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872)*2*5)\/((sqrt(36) + sqrt(4))*5 - sqrt(48)\/sqrt(3)) + 3.\nAnswer: 3 + 110*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:49 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 s when three letters picked without replacement from qeeeenncenesnsnnne?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -8. Solve 4 - r = -z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531134 is divided by 407.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/680 and -49\/85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 70 + 23 + 15*h + 23.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i - 5*i + 3*i)*(5*i - 3*i + 4*i) + 10 - 10 - 3*i**2.\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 15*w - 16*w + 16*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-216)\/20) + (-2)\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + 1236 - (-1 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -1\/3, 1\/4, 0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:18 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1114*x + 2674. What is b(2)?\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4.7, 5 in ascending order.\nAnswer: 0.3, 4.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*v + 9 = -4*g, -5*g - 4*v = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 1, c: 1, o: 5}. What is prob of picking 2 o and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 287 (b) 0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - c - 20 - 28 = 0, 5*c - 59 = -3*l. Solve -19*x = -l*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 177. Let z(r) = 12*r + 3. Let n be z(10). Let w = n + m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3\/9 + 24233372*l**2\/9 - 12234502596320*l\/3 - 4078170224704 = 0?\nAnswer: -1, 3029172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - v + 4 = 0, -801*v + 798*v - 3 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 100848, -162, -1, 1, 2, 4 in increasing order.\nAnswer: -162, -1, 1, 2, 4, 100848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/4*(-3)\/(90\/6)*-2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*j = -4, -3*j = -5*m - 5*j + 4. Solve m*t + t - 5*p = 29, 0 = p + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/1260 + c**5\/35 + 3*c**4\/7 + 24*c**3\/7 - 1931*c**2. Factor o(k).\nAnswer: 2*(k + 6)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 - 14*y**2 + 8*y + 122. Let d(k) = 2*k**3 - 5*k**2 + 3*k + 41. What is -8*d(u) + 3*n(u)?\nAnswer: -u**3 - 2*u**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 7 - m**3 + 0 in the form u*m + t*m**2 + s*m**3 + d and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/46032 and -67\/1314.\nAnswer: 10081008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 65*k - 62*k + 7, -5*k - 13 = -g. Which is the closest to 2? (a) g (b) -1\/3 (c) 2\/735 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from fffffrffdffdrdfddrqq.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 1\/30*y**5 + 0 + 1\/12*y**4 + 7*y**2 + 8*y**3 + 0*y. List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3 = h, o - 9*h - 6 = -11*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001592477356 to seven decimal places.\nAnswer: 0.0001592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -41*b + 1 + 23*b**3 + 205\/2*b**2. What is the first derivative of j(v) wrt v?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.4 + -25. Round i to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 187712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -22. Let p = -0.4 - 0.1. Let i be -2 + (-51)\/(-18) + -1. Which is the third biggest value? (a) r (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39170940 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from vbvblvbbvvbbb.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 312009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - 0. Let d be (-4)\/k + (-128995)\/70. Let x = d + 1799. What is the common denominator of 28\/3 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*v)*(0*v + 0*v + v) + (-32 + 32 + 33*v)*(0*v - 2 - 4*v + v).\nAnswer: -103*v**2 - 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.6 - -8.62. What is the nearest to -2 in -0.4, y, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 + -703\/4. Which is the nearest to -0.1? (a) -3\/7 (b) 0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-150)\/14)\/(-5))\/(540\/(-945))*32\/(-252)\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14162 - 13987. Solve -l*r - 54 = -157*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045 times 0.051?\nAnswer: 155.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1844390 divided by 5095\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.86, 5 in decreasing order.\nAnswer: 5, 0.86, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let h = 2 + g. Suppose -2*d - 5*q = -h*q - 35, 2*q + 35 = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*130920.\nAnswer: 1309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*l = -11, l - 1 = -4*i + 5*i. Let x(c) = c. Let z be x(2). Solve 4 = z*g + i*m + m, 3*m = -2*g + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19906012.\nAnswer: 2, 7, 710929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r - 1)*(-17*r + 481*r + 264*r)*(0 + 5 - 4)*(2*r + r - r).\nAnswer: 2912*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**2 + 1602 - 3219 + 1617.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 48418422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2761465 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h + 62*h = -f - 10, f = 4*h - 6. Suppose 3645 = 5*t + f*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/(c**(-2\/15)\/c))\/(c**(1\/5)\/(c*c*c*(((c*c*c\/(c\/(c\/c**(-3\/10)*c*c))*c)\/c*c*c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(118*f + 2421 - 2421).\nAnswer: 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {w: 1, i: 4, t: 2, h: 2, d: 1, r: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -306\/11 + 32. What is the common denominator of 2\/(-5) + (-459)\/40 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.9 + 24. What is the nearest to k in -68, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*v + 12. What is the highest common divisor of 10 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - p - 3*p)*(-p + 3*p + 0*p)*(0*p + 2*p - 3*p) - 623 - 40*p**3 + 623 in the form h*p**2 + n*p + b*p**3 + y and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 21. Suppose -26 = -2*y - a. Calculate the remainder when 34 is divided by (-3)\/y - (-67)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 - 65106.4.\nAnswer: -65202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 2. Let w(i) = 15*i**2 + 8*i + 85. Let h(l) = -5*b(l) + w(l). Differentiate h(z) with respect to z.\nAnswer: 30*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Suppose 4*u - i*s = 2*u + 18, -38 = -3*u - s. Let x = 10 - 7. What is the greatest common factor of u and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 - 3*h. Let y(j) = 4*j**2 - 4*j. Let x(m) = -3*w(m) + 2*y(m). Determine x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(132) + sqrt(132) - sqrt(132))*4)\/((-5*sqrt(36)\/sqrt(3) - sqrt(12)) + sqrt(12)).\nAnswer: -1 + 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7861 - -7871. Let b(l) = -l**2 - 10*l - 1. Calculate the smallest common multiple of h and b(-4).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.472 - -618438.\nAnswer: 618441.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-2*(-9)\/(-1). Let x be (-15)\/y - (-1)\/4. Suppose -2*s**2 + x + 16\/3*s**4 - 8\/3*s + 20\/3*s**3 = 0. What is s?\nAnswer: -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from llmlmglllllmgmll?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 48*j**3 + 87*j**2 + 42*j.\nAnswer: 3*j*(j + 1)**2*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110 (base 2) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 2227745?\nAnswer: 4455490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108350297989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 14*t - 21*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152040194?\nAnswer: 2, 1151, 66047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 76 - 177 + 36 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(0*z**2 + 0*z**2 - z**2) + 2*z - z**2 - z**3 + 66 - 58 + 0*z**3.\nAnswer: -2*z**3 - z**2 + 2*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1116 - -1118. Suppose 0*j - 10 = -2*j. Suppose j*v - 4*v = 13. Solve -v = 3*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7580 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 869193 divided by -391?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9891*z**2 + 2984*z**2 - 852*z**2 - 13324*z**2.\nAnswer: -21083*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.358827993 + 0.35885. Round d to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746*l**3*r - 194*l**2*r - 2*l*r wrt l.\nAnswer: -4476*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 33?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 + (-8 + 6 - -6). Solve 3*o + r + 0 - 1 = 0, -v*o = -r + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611.51 rounded to zero dps?\nAnswer: -1612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.51 - 76.71. Let j = q + 65. Let h = -5.2 - j. What is the nearest to 1\/6 in h, -4\/7, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c + 224 + 28 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1085 and -193\/3141540?\nAnswer: 21990780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/8))\/(o**(-1)\/o))\/(o**4*o**3*o) assuming o is positive.\nAnswer: o**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(57)\/sqrt(3) + -4)*-6 - ((1 + sqrt(2736) - sqrt(2736)) + (sqrt(171) + 0 - sqrt(171)))))**2.\nAnswer: -6900*sqrt(19) + 30325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1512 and 459949320?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/3 - 352976*h**3\/9 - 2235286*h**2\/9 - 235292*h\/3 = 0. What is h?\nAnswer: -58823, -6, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -2161685?\nAnswer: 2161681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1012 = 2*o - 288. Let k = 129352\/199 - o. Is -1\/2 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:58 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 3}. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-270)\/40)*3\/(-3)*34\/17\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 29 = -5*i, -2*i = 2*u + 3*i + 17. Suppose u*f = -4*p + 9*p + 57, -5*f + 60 = -5*p. Let c(t) = -t - 16. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.1, -6, -4, -1\/12, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2940)*2)\/(sqrt(12) + sqrt(12) + (sqrt(576) + sqrt(36))\/sqrt(3) + sqrt(12) + sqrt(12)) + 2.\nAnswer: 1 + 14*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 216995 + 61119 = 8*z, 3*z = -18. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 22 = -4*v - 2*b, -3*b = v + 19. Let q(l) = l + 12. Let p be q(v). Suppose n - 2*m = 23 + 27, -4*n - p*m = -180. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j - 10 = -10. Let l(v) be the second derivative of j - v**2 + 9\/20*v**5 + 4*v - 2*v**4 + 13\/6*v**3. Factor l(m).\nAnswer: (m - 2)*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 0*f**2 + 6*f**2 + 10 - 2013*f**3 + 2029*f**3 + 10*f. Let i = 2 + 1. Let x(h) = 5*h**3 + 2*h**2 + 3*h + 3. Determine i*t(n) - 10*x(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3968, -3966, -3964, -3962?\n\"Answer: 2*z - 3970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*b - 6, -2*b - i = -6*i + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r - 4 + 4)*(-5 - 1 + 5) + (-233 + 96 + 93)*(0*r + 0*r - 2*r))*(-r - 1 + 3 - r).\nAnswer: -180*r**2 + 180*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 4\/39 (c) 13 (d) -1 (e) -1\/2 (f) -81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.408039 and 0.007.\nAnswer: -0.401039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1754 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**3 - w**2 - 2*w + 2. Let m = -93 - -95. Let v be g(m). Let x be ((-132)\/v)\/(-11) - 112\/(-18). Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 34.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*p**3*t - 18402*p**3 + 753*p*t**2 with respect to t.\nAnswer: 8*p**3 + 1506*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhooojwuoooj. Give prob of picking 1 h and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*b + 39 = 0, -5*w + 38 - 5 = -b. Let h be 1 - w\/((-21)\/12). Solve h*x + 8 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 12*z - 1080 = -32*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*x = 11*x - 4, -1 = x. Sort 94, 4, 1, f in decreasing order.\nAnswer: 94, 4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 4 = -5*x. Let l be (((-110)\/77)\/(44\/(-616)))\/((-4)\/(-2)). Solve l = 2*b + v, -7 = -b - x*v - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*f = 4*l + 2, 4*l = f - 11. Let u(d) be the third derivative of -13*d**4\/8 + d**3\/6 + 9*d**2. Is u(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21716 and 28.\nAnswer: 152012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141099 take away 3800834?\nAnswer: -659735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -1310*v + 1314*v + 25, 5*v = 3*t - 29 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11)*-2 - ((sqrt(132) - ((sqrt(132) - (sqrt(132) + 2*sqrt(132) + sqrt(132))) + sqrt(132)))\/sqrt(12) + sqrt(11) + sqrt(11))**2.\nAnswer: -276 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47544588 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*d**3 + d**2 + d**4 + 55*d**3 - 167*d**3 + 56*d**3 - 24*d to the form q*d + h*d**3 + j*d**2 + u*d**4 + b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1156 + 1634. Let z = u - 443. What is the remainder when 134 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7001 (base 8) to base 4\nAnswer: -320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 4, g: 7, e: 3, s: 4}. What is prob of sequence psjs?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*((sqrt(275) - (-4 + -2*sqrt(275)) - sqrt(275) - (-1 + (sqrt(275) + 0 - sqrt(275))))**2 + 2) + -5 + 2.\nAnswer: 1500*sqrt(11) + 16902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 37765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -4\/11 (c) 1\/3 (d) -1\/24 (e) -2\/9 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88577503 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3570 and 4425?\nAnswer: 1053150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -2*w + 88, -4*k - 26 - 18 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224331413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*k**2*q + k**2 - 6*k*q**2 - 5*k*q + 1673*k - 6 wrt q.\nAnswer: 6*k**2 - 12*k*q - 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*l**5 + 0*l + 3*l**4 + 6*l**3 + 0 + 4*l**2.\nAnswer: l**2*(l + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/700 and -131\/168.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 45?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**5 - a**3 - a**2 + 1. Let m(y) = 19*y**5 + 5*y**3 + 34*y**2 - 5. Let g(v) = -5*c(v) - m(v). Find the third derivative of g(s) wrt s.\nAnswer: -1440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36316.99 litres?\nAnswer: 36316990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m + 15. Let h = -5 - 1. Let j(v) = 2*v - 2*v + 8 + 4*v. Let y(n) = h*k(n) + 11*j(n). What is the first derivative of y(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 23*p + 84*p + 56*p.\nAnswer: 114*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p + 4. Suppose -5*g = 2*g + 35. Let r be m(g). Let w = 65 - 47. Calculate the greatest common factor of w and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/394534 and 41\/56362.\nAnswer: 394534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 = -3*l + 2, 3*l = 5*i - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 139. Let a = 35 - 33. Suppose -a*v = j*v - 462. Calculate the highest common divisor of v and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -0.2.\nAnswer: -2, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 + i**3 - 4*i**3)*(0*i**2 + 0*i**2 + i**2) + (6*i - 6*i - 5*i**2)*(-5*i**3 + 5*i**3 - 4*i**3) - 4*i**5 - i**3 + i**3.\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/(-8) + 4\/(16\/6). Let o be (1 + l)*(-4)\/6. Let c be ((-27)\/o + 0)\/(6\/(-32)). Calculate the greatest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14 - -4) - -4 - 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-724)\/(-16) + 2\/(-8). Suppose 0 = -2*q - 4*m, -3*m + 8*m = 2*q - d. Suppose 4*s = w + 99, 0 = 2*s - w - 57 + q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -518\/2847 or -1?\nAnswer: -518\/2847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863 is divided by 705.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/660 and 41\/9?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 a factor of 1705457953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + p - 2 = 11, 28 = 4*d + 4*p. Let f be 8*((-1)\/d - 0). Let z(k) = 5*k - 16. Let w(q) = q - 3. Calculate f*z(v) + 22*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**2 - 3*m - 3. Let r(u) = 14*u**2 - 2*u - 2. Let p(j) = -2*o(j) + 3*r(j). Let f(c) = -2*c + 8. Determine p(f(s)).\nAnswer: 40*s**2 - 320*s + 640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngg when three letters picked without replacement from {n: 2, r: 4, x: 1, g: 1, p: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 41. Let r be (-4798)\/p + (-5)\/(-25). Suppose 0 = -0*l + 5*l - r. Calculate the highest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44\/171 - 2\/57. Let r(u) = -u**2 + 2*u - 6. Let z be r(0). Let i = 4 + z. Sort q, 2\/3, i in decreasing order.\nAnswer: 2\/3, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 28*w**4 + 52*w**3 + 12*w**2 - 72*w.\nAnswer: 4*w*(w - 3)**2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 511 = -4*k + 8*k, 0 = b + 3*k - 87. Suppose -103*d + b*d + 2300 = 0. Is d a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19082 and 348.\nAnswer: 114492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2 + 2)*((1 - 2 + 3)*(3 - 3 + 1) + 4 + 5 + 21)*(-w**4 + 4*w**4 + 0*w**4).\nAnswer: 96*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d - 86. Calculate the remainder when l(20) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1 + sqrt(117)*1)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 166. Suppose -178 = -d - l. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -809725 at most -809646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - (4 - 66)) + (-2 - 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000077954 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16289.7231 hours?\nAnswer: 96.9626375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2014 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-30) - 547\/(-2)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 373 + -186. Let h(d) = 57*d - 5. Let k be h(3). Let q be (-6)\/(-15) + k\/10. Calculate the highest common divisor of w and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2030773*h**4 - 1792824 wrt h.\nAnswer: 8123092*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 minus 4422.3612?\nAnswer: -3510.3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 695 = 56. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 456*f - 10802. Determine a(27).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47197 + 96220. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1507 and 7447868?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308, -1209, -2700, -4769, -7404, -10593?\n\"Answer: 2*a**3 - 307*a**2 + 6*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 272 = 300. Let v be 12 + 5\/(5\/2). What is the first derivative of 33*l - 22 - v + r wrt l?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 151 - 1159 = 0. What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(x + 4*x - 4*x) - 6 + 6 - 5*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 984 - 515. Let g = p - 458. Solve 2*i - 3*r = -0*i + g, 4*i - 19 = 3*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -563, -908, -991, -812, -371, 332?\n\"Answer: 131*l**2 - 738*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145658630 by -710.\nAnswer: 205153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 17257?\nAnswer: -17224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 82813, 0.2, 2\/11 in increasing order.\nAnswer: 2\/11, 0.2, 82813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -666 + 42623\/64. Do 1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110212 - 102?\nAnswer: 2110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -311605 divided by -1\nAnswer: 311605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5 + 174*j**4 - 2664*j**3 - 11010*j**2 + 463611*j - 1809180 = 0.\nAnswer: -12, 5, 19, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from wcycoooo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 44 - (-1 - -8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a74 - 5?\nAnswer: 17a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525333?\nAnswer: 3, 7, 167873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/4 - 29*f**3\/6 - 76*f**2. Let g be d(8). What is the greatest common divisor of 247 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -303. Let p be -2 - ((-8162)\/(-126) + (-4)\/(-18)). Let m = o + p. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276156341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -574.068 rounded to zero decimal places?\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 31.38.\nAnswer: -407.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711852626*y**2 + 355926307*y**2 + 355926312*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(36\/((-3240)\/(-30)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13881 + 28150 - 14056 - 19*y. Determine l(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145212149 is divided by 4456.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (6 - 7) + (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.2, -0.04, 0.4, 4?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20911675 divided by -895\nAnswer: 23365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 17*u**2 + 31*u - 3. Let x be b(-10). Let l = 432 - x. Calculate the highest common divisor of l and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -187\/2*g**2 + 0*g - 206\/3*g**3 - 193. Find the second derivative of z(y) wrt y.\nAnswer: -412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 p when three letters picked without replacement from {l: 11, p: 3, x: 1, a: 3, c: 1}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 44132 and 16.\nAnswer: 44148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 8\/(-60)*-72*30. Let k = 355 - m. What is the highest common factor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(-1)*0. Let a(o) be the third derivative of -o**6\/120 + o**5\/60 - o**4\/24 + 7*o**3\/6 + o**2. Calculate a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -597780 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5 - 35. Let t = -5942 - -5947. Solve 4*h + 2*z - d = 0, z + z = -t*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038088877 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/20 - 3*w**4\/4 + 7*w**3\/6 + 3*w**2 - 3*w. Let q be u(8). Let b(m) = 2*m**2 + m - 2. What is b(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/45)\/1*(51920\/(-6))\/(-2). Calculate the greatest common factor of 352 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -6*o + 1\/4*o**4 + 2*o**3 + 9 + 1\/2*o**2. Give l(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2\/15))\/n)\/(n*n*n**10))\/(n*n**(4\/5)*(n**8\/n)\/n) assuming n is positive.\nAnswer: n**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 0*g**3 - 2*g**5 + 4*g**5 + 2*g**5 + 3*g**5 + (0*g + 0*g - g**3)*(-2 + 2 + g**2) - 3*g**5 + g**5 + 0*g**5 + g**2 - g**2 - 2*g**5.\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1316830 and 4.\nAnswer: 5267320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44398 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(-6)*r**(-1\/4)\/(r\/r**(-2\/5)))**(-6) assuming r is positive.\nAnswer: r**(339\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 17, -3, 1, 25, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*w - 36. Let b = w - -32. Solve b = -2*c - 3*y, -3*y = 2*c - c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*k**5 + 23991*k**3 - 220*k**2 + 1756*k.\nAnswer: 1740*k**2 + 143946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 2*u + 1 - 7*u + u. Let m be i(0). Does 10 divide (4 + 36)\/(2 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 465.125054 to one decimal place.\nAnswer: 465.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1, 0.61, 81, 4?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5274 = 5*a - 14*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = l - 118412, -69425 = 3*f - 5*l + 108207. Let x be 2\/2 + (-5 - f). What is x rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/73 in 0.8, 0.2, -2\/3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3365.4 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2183 + 45?\nAnswer: 21c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -m + 5*u, -m - 3*m = u - 16. Suppose -m*p = -3*j + 21, -j - 4*p = p + 5. Let r = -5 - -15. Calculate the least common multiple of r and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m. Let u(h) be the second derivative of h**3\/3 + 4*h. Give u(a(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -21*w - 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 - 4 = 11*d. Let i be 4*1\/20*-8*d. Suppose -2*o + 151 + 49 = 0. What is the greatest common factor of i and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14090*t**3 - 4852*t**2 + 1237350411*t wrt t?\nAnswer: -84540*t - 9704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9447 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5198*q - 2. Let t be y(1). What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380945 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, -1, 0, 1\/69, 7\/6?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - 116. Calculate the common denominator of -7\/33 and (-3)\/(702\/(-14)) - 41\/i.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-1)**2 + 2 + ((sqrt(125) - -2*sqrt(125)) + 0)**2.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouuoxu. What is prob of picking 2 o and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from aaaaaallaalaaallaa?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7883*p**3 + 3*p + 490 wrt p.\nAnswer: -47298*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3045.327?\nAnswer: -3042.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.9 (b) 5 (c) 2\/3 (d) -0.252 (e) -2 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1678198*j**2 + 1678198*j**2 - 564*j**3 + 2 - 2.\nAnswer: -564*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*-2)\/((-1)\/3*(-168)\/(-56))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26211 divided by 2798?\nAnswer: -26211\/2798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l + l - 3*l - 2*l + 4*l + (-2 + 2 + 2)*(-2*l + 3 - 3) + 0*l + 2*l - 4*l + l - 13 - 2 + 2.\nAnswer: -5*l - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 4*j. Let h be ((-539)\/112 - -7) + -2. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2. Let m be ((-4)\/6)\/(4\/(-18)). Let y(h) = h**3 - 40*h**2 + 73*h + 116. Let w be y(38). Let k(r) = -w*r - r - m*r - r. What is o(k(v))?\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-48)\/21)\/(-1 + (-30)\/(-42))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5 = 2*c, 2*q - 4*c = -q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25985 - 12001. Calculate the highest common divisor of 76 and g.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/3 - 4066\/(-4)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 + 5. Let w be s(5). Suppose j + 12 = -w. What is the common denominator of 38\/3*(-27)\/72 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5221\/78 - -868\/13. Which is the nearest to -1\/4? (a) -1\/2 (b) -0.6 (c) -3\/13 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -36. Sort n, -4, 4 in ascending order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241744000 rounded to the nearest 1000000?\nAnswer: 1242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7) + -10 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268088 (base 10) to base 3.\nAnswer: 111121202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = 1. Let b be 8 - (1 - (3 + l)). Suppose 5*y = 1 + b. Solve y*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -989429 greater than or equal to -989429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/(78\/540). Let f = -313\/65 - z. Which is the smallest value? (a) 0.04 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/6*(1 - 2). Let h be o - -3 - (-1)\/1. Suppose 0 = -3*s - 9, -h*i + 5*s + 35 = -2*i. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 + 470\/40 + -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148298 = -71*t + 149434 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*g + 3*g + g - 468. Solve -u = 37*t - 35*t - 6, 0 = t - 2*u - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 4*f - 7. Determine w(-6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5245.9 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-1 + 1 - 2*o) - 3*o - 92*o - 26*o.\nAnswer: -123*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + i. Let l(k) = -10*k + 85. Let x(b) = 4. Let n(z) = 2*l(z) - 42*x(z). What is n(v(y))?\nAnswer: -20*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14 = -5. Let d be 1\/((f + -6)\/(-27)). What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7694 + -7560. Solve h*v - 15 = 129*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 3. Let q(m) = -a*m + 2*m + 1 + 4*m. Suppose 70 = 128*p - 93*p. Calculate q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4968 = -145*l + 8013 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 35 = -6*l. Let q = -6 - -8. Solve -7 = -l*f + g, 4*f - g = g + q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, v: 1, k: 1, o: 2, s: 1}. What is prob of picking 1 v and 2 j?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.2\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(1*(-1)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523 - 523 + 119*b + (-9 - 7 + 17)*(-3 + b + 3) to q + w*b and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-496)\/(-50) + 38\/475.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 3*c. Let o = 11 - 1. Suppose -o = 5*i - 3*i. Give q(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 1. Let g be l(6). Let s(t) = -2 + 5*t**2 - 1 + 2 + 6*t**2. What is the least common multiple of s(g) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*t - 152, n + 9 = 2*t + 53. Suppose 3*g + 10 = n. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + 3 + -10 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose t - 14 = 2*u. Let s(j) = -2*j + 6. Let x(g) = -3*g + 7. Let k(p) = u*x(p) + 6*s(p). What is the derivative of k(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114364*y + 0 = 3*o - 0*o - 114367*y + 3, -3*o - 5*y - 27 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11863*v - 1485. Let z(n) = -3948*n + 493. Let u(f) = 2*x(f) + 7*z(f). Differentiate u(m) with respect to m.\nAnswer: -3910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-928)\/(-176) - (-6)\/(-22). Suppose h*r = -2*p + 4, 4*p = 4*r + 13 - 33. Let z(t) = 9*t**2 - t + 2. Give z(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5222410 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14589*c. Let i(f) = 56552*f**2 + 2. Calculate i(a(j)).\nAnswer: 12036466660392*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-29)\/2)\/((-6)\/12) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + (-1760)\/(-32) - (7 - 1).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47686382 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: In base 9, what is 557822 + 74?\nAnswer: 558006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197\/2397 - -5\/141. Let y = -81\/4 - -20. Which is the nearest to y? (a) l (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 51\/12 + 1\/(-4). Suppose q = -2*n + 20, 3*q - p*n - 80 = -0*q. Calculate the remainder when 47 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567b (base 13) to base 11\nAnswer: 9101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 108?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 0.08992971398?\nAnswer: -1.18992971398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3\/4 (c) 42360 (d) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570632871 to the power of 1\/2, to the nearest integer?\nAnswer: 23888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 6*n - 1. Give l(-8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:34 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 190 + 1d5?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1227\/(-21) - (-3)\/7. List the prime factors of 4 - t - (-2 - 2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41179 is divided by 1523?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4873389?\nAnswer: 3, 419, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*p + 58433 + 6853 = 407*p + 567*p for p.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230313131 - 0?\nAnswer: 230313131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -0.3, -2\/17, 2, 3 in increasing order.\nAnswer: -4\/13, -0.3, -2\/17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -16. Suppose 4*h - 17 = -5*g, -y*h + 3*g = 6*g - 18. Does 7 divide h\/(-3)*-1*14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14333116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 4\/(-7))*26\/(-78). Let a = -136.9 + 137. What is the third biggest value in 2, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717966?\nAnswer: 2, 3, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 35 - 75)*(1 - 5 + 3*y + 2) in the form z*y + m and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d - 2. Let i be m(-1). Solve 5*a + i = -2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210748 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 14*g + 15 = 0. Let o(b) be the first derivative of -b**2\/2 - 12*b - 1. Let x be o(g). Is x greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.0204, -201 in ascending order.\nAnswer: -201, 0, 0.0204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2 + 35*a**6 + 3*a**2 + 26*a**2 wrt a?\nAnswer: 4200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mndd when four letters picked without replacement from dnddddddmdd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 4642*h**2 - 2196171*h - 4410918.\nAnswer: -(h - 4107)*(h - 537)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5563003.5 milliseconds to hours.\nAnswer: 1.54527875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 5*f - 8*f + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2502*b + 6968. Let i(s) = 830*s - 2323. Let r(c) = 10*i(c) + 3*v(c). Differentiate r(l) with respect to l.\nAnswer: 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1025b6 - -5?\nAnswer: -1025b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13244, 13024, 12658, 12146, 11488, 10684?\n\"Answer: -73*k**2 - k + 13318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2*l - 110, 3*l + 3 = -9. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3231 = -615. Let b(z) = -1282 + h + 12*z**2. Let j(t) = -2*t. Calculate b(j(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -420*b**2. Let n(t) = 9*t**2. What is w(n(h))?\nAnswer: -34020*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.9 - -49.9. Put -0.2, -3, i, -0.3 in ascending order.\nAnswer: i, -3, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -1 - (-4 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f - 67*f + 2 = 300. Let v = -4 - -2. What is the closest to f in 0, 1.7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) + 14\/18. What is the nearest to v in 3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/51 + 6\/(-9). Let f be ((-162)\/(-1404))\/(9\/12). Let j = 3.1 - 0.1. Sort p, f, j in descending order.\nAnswer: j, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 24*m**2 - m - 43. Let c be h(10). Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 127*q + 830. Determine i(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0793 - -0.0794175. What is g rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 14*b + 16. Let j be h(10). Let m = -54 + j. Suppose -m = -3*u + 95. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n + 562 = 94 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f - 5. Let g(m) = 27*m - 9. What is 5*g(j) - 9*s(j)?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/6)*h*h**6)**(-3\/17))**8 assuming h is positive.\nAnswer: h**(-212\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*i = 23, -2*y + 6*i + 15 = i. Suppose -7*a + y*a = -32. What is the remainder when 45 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1455, 9, -5 in decreasing order.\nAnswer: 9, -5, -1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 52. Suppose p = -3*z + z. Calculate the common denominator of 3\/22 and (-2)\/z - (-806)\/72.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 - 0.06. Let f = 32.42 + -30.6. Let d = 1.92 - f. What is the nearest to -0.2 in 2\/15, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*k - 1. Suppose 2*i + k = 5*i - v, 2*v = -4*i + 18. What is the second derivative of 0*o + o**2 + 2*o - 2*o**i wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010001110010000111 (base 2) in base 12?\nAnswer: -35531b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41329 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: What comes next: 89132, 182116, 275100, 368084, 461068, 554052?\nAnswer: 647036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 34)*(t**4 + t**4 - t**4) in the form m + r*t + x*t**2 + k*t**4 + p*t**3 and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*a*h*k*z + 9*a*h*k - 2*a*h*z**2 + 31*a*h + 260*a*k*z**3 - 3*a*z**3 + 4*h*z**3 with respect to k.\nAnswer: -11*a*h*z + 9*a*h + 260*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130594667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5786179 and 55361.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**3 + 0*l**3 - 3*l**3 - 10*l**3.\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -41 (b) 12 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let o(n) = n**3 - n**2 - n + 2. Let u be o(2). Suppose -4 = -2*g - 0*m - u*m, 5*g - 25 = 5*m. Let v(z) = -z**2 + 3*z. Determine g*l(k) + v(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 - 4*n**2 - 32*n + 13. Let p be a(6). Suppose 0 = -b + 44 - p. Which is bigger: b or -66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 - 15221?\nAnswer: -15330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003820631 to six dps.\nAnswer: 0.000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18)\/((-92)\/(-3312)) - (-25)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0*p**2 + 18*p + 0*p**4 + 0 + 13\/10*p**5 + 3\/2*p**3. Find the second derivative of u(z) wrt z.\nAnswer: 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 1. Let d be z(1). Suppose 4*r - 1 = -d*m, -2*m = 4*r - 3*r + 2. Calculate the smallest common multiple of 14 and m*(-2)\/3*10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:04 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*n = 2*n + 18, 2*u + 2*n = 12. Let a be (-6)\/((-3)\/(-1))*-2. Let d = a - 0. What is the smallest common multiple of u and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(-2\/7)\/i))*i**(-1\/2)*i**(1\/2)*i**(-3\/2))\/(i**(-1\/7)*i*i*i**(-4)*i**(-1)*i\/i**0) assuming i is positive.\nAnswer: i**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (75\/100)\/(6\/(-16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 7. Let f(d) = 1. Let c(a) = f(a) + y(a). Let l be c(-4). Let s(o) = o. Let w be (-42)\/38 + 140\/1330. Let h(q) = 3*q - 1. Give l*s(p) + w*h(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-137 - -136)*(-3)\/((-195)\/10)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 5 + 9)*(-15 + 15 - 12*q**2).\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3526 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: (-1 - 81) + 0 - ((-38 - 216) + 259)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s**2 - 1. Let i be f(1). Let c(l) = -5*l + 1. Calculate c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5 (c) -1\/41 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 184027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 438284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 9*p**2 + (-2*p + 2*p + 3*p)*(-1 - 1 - 4*p + 2*p).\nAnswer: 3*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**2*k + 2*b**2*o + 34*b**2*r**2 - 12*b*k*o*r**2 - 2*b*o - 138*k*o*r - k*r**2 wrt b?\nAnswer: 18*k + 4*o + 68*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + 7 + -8 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = 0, 2*w - 3*u + 67 = 7*w. Suppose 0 = -z + 76 - w. Suppose 2*t - t = -z. Which is smaller: -64 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903437039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*-5*(-1)\/4. Suppose -r*v + 6 = -3*v. Suppose -1 = -t - 5, v*t = 5*n - 157. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -637.1 - -637. Let i(l) = 2 + 42*l - l**2 + 0*l**2 - 59*l. Let g be i(-17). What is the fourth biggest value in k, 2\/7, g, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 14*y**2 + 5*y - 15. Let n be (-6)\/15 - 23\/5. Let k(u) = 2*u**3 - 15*u**2 - 4*u + 16. Let c(z) = n*k(z) - 6*w(z). Is c(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/177 (b) -4 (c) -70.8 (d) -1369\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(2\/5)\/(k**(-19)*k**(-1\/29)) assuming k is positive.\nAnswer: k**(552\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = -15*i - 116 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11857, 22, -3\/8, 0.5 in descending order.\nAnswer: 22, 0.5, -3\/8, -1, -11857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 + 32 + 7*n**2 - 3*n - 12*n + 0*n**2. What is the units digit of o(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -30?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -10*v + 12. Let n = 3.68 + -3.62. Let r be -2 - (-75)\/27 - 1. What is the nearest to n in r, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 129*r**5 + 646*r**4 + 1035*r**3 + 698*r**2 + 216*r + 20. Let h(m) = -m**5 + m**4 - m + 1. Let t(v) = -4*h(v) - z(v). Determine s so that t(s) = 0.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/380715 and 143\/4111722.\nAnswer: 20558610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2561\/443 or -6?\nAnswer: -2561\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55832064 and 459008.\nAnswer: 614152704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99887263 divided by 2?\nAnswer: 99887263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.24 + -3.24. Let u = -0.11 + 0.21. What is the nearest to h in 1.8, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -44*n**5\/5 - n**4\/2 + 1361*n**3\/3 - n**2 - 1584. What is the third derivative of b(w) wrt w?\nAnswer: -1056*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - 5 - (1 + (0 - (-2 - 4))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + 3*c + c)*(1 - 1 + 2*c) - 37*c**2 + 5*c**2 - 13*c**2 + 6991 - 5*c**2 - 6984 + 2*c - 2*c as k + h*c**2 + d*c and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/4*1). Solve -3*o + p = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, w: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.8800042148 + -41.88. What is p rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 12 + 3. Let x(k) = -k**2 + 8*k + 24. Let s be x(-3). Sort s, h, -1 in ascending order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3902, 1839, -1562, -6271, -12258, -19493, -27946, -37587?\n\"Answer: 5*o**3 - 699*o**2 - o + 4597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2 = -2*w, -3*w + 4*r + r = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235104496 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/17, -1\/6, 0.1, -12\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*y**3 + 4*y**2 - 5*y - 3*y**2 - 39*y**3 - 2*y**4 to the form a*y**4 + p*y**3 + t + l*y + i*y**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -79*l + 27. Determine p(-1).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 19 = -3*c, -g + 4*c = -22. What is the highest common divisor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 - 0.064.\nAnswer: -28.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**3 - 5*a**2 + 5*a - 1. Let f be (-220)\/(-66)*3\/2. Let w(s) = 7*s**3 - 4*s**2 + 4*s - 1. Calculate f*w(u) - 4*m(u).\nAnswer: 3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3248840990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:01 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20133022 - 321?\nAnswer: 20132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92, -74, -56?\n\"Answer: 18*o - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 (base 12) in base 5?\nAnswer: -34323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (888\/370)\/((-2)\/(-5)). Solve 4*q + l*n - 20 = 9*n, q = -4*n + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 0 - (2 - 5). Suppose -93 = n - 97. Suppose -6*s = -11*s + 5. Solve m*u + n = -s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 4774 - 4802. Solve 4*p - x*p = -6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a935 (base 12) in base 11?\nAnswer: 21a28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 18 - 6*z - 9 as d + t*z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 169632 divided by 18\nAnswer: 9424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3\/2 (c) 4 (d) 3\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5463719*k**4 + 2*k**2 + 2*k - 432868?\nAnswer: -131129256*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l**2 + 527352*l + 527346*l - 1054697*l.\nAnswer: 70*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3366330.\nAnswer: 2, 3, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 21*v + 2580. List the prime factors of v.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.283 * 2079\nAnswer: -588.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1813 and -343.12.\nAnswer: 622076.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2756 - 2753. What is the smallest value in 0.2, -0.2, 0.02, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from ntxbovnt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4279206 and 127\/76773990?\nAnswer: 1305157830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.138088997 to 4 decimal places.\nAnswer: 0.1381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/(l**(-1)\/l*l*l*l))\/l)))\/l)**26*(l*l**0*l)**38 assuming l is positive.\nAnswer: l**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (-1 - 0) - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7238*w - 16. Let d be z(-2). Let c be ((-1)\/(-7) - 0) + d\/(-35). Let v = c + 185. Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-6))\/((-14)\/147). Let c be 140\/t + (-2)\/(-14). Suppose -c*l = -10 - 11. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 81584631064004\nAnswer: -81584631064004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) - -1*sqrt(176)))\/sqrt(8) - (sqrt(176)*-2)\/sqrt(8))\/((1*sqrt(44))\/sqrt(4)*2).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 2*i**2 - 20. Let r(z) = -2*z**3 - 3*z**2 - 41. Let d(f) = 9*p(f) - 4*r(f). Let w(j) be the first derivative of d(j). Factor w(h).\nAnswer: -3*h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) + sqrt(42)\/sqrt(7)) + 3 + -3*((sqrt(4)\/sqrt(2) + 5 - sqrt(2)) + sqrt(2)))**2*1.\nAnswer: 60*sqrt(2) + 313\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(475)*-1 + 4)**2*-1.\nAnswer: -476 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 + 7*x - 7. Let b(u) = -u**2 - u + 1. Let v(m) = 4*b(m) + f(m). Let z(a) = 3*a + 15. Let s be z(-6). Is 8 a factor of v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.2485ng to kilograms.\nAnswer: 0.0000000001922485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 578\/187 - (-1 + 4). Do 1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -3, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*h + 2 - 1 + 28*h)*(1 - 1 - 2*h**2).\nAnswer: -16*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16297158*r**4 - 3926700*r**2 wrt r?\nAnswer: 391131792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6575, -6574, -6573?\nAnswer: -6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1182.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3043 (base 14) to base 7.\nAnswer: 33113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/315*-1)\/((-1071)\/1666)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.77328mg in kilograms?\nAnswer: 0.00000777328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 11*l**2 - 23*l + 39. Let k be a(9). Let d(f) = -f**2 - 7*f + 6. Calculate d(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(7\/(-2)) + -4 + 26. Let h(a) = a**3 - 25*a**2 + 25*a - 19. Let q be h(i). Put -22, -5, q in descending order.\nAnswer: q, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3844, -3823, -3788, -3739, -3676, -3599, -3508?\n\"Answer: 7*f**2 - 3851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17927, 0.5, -3 in decreasing order.\nAnswer: 17927, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**7\/120 - k**6\/360 + 3*k**3\/2 + k. Let s(a) be the second derivative of n(a). Find the third derivative of s(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 2*j**3 + j**4 + 0*j + 4 - 2*j + 337*j**2 - 2 - 350*j**2 to the form c + t*j**3 + r*j**2 + h*j + z*j**4 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 1\/20*u**5 + 0 - 5\/4*u**4 + 8*u**3 + 13*u + 32*u**2. Let f(v) = 0. Calculate v.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 175, 355, 595, 895, 1255, 1675?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**11\/18480 + n**7\/1260 - n**4\/6 + 3*n. Let q(a) be the third derivative of g(a). Find the third derivative of q(z) wrt z.\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43229\/1904 - 363\/16. Which is the nearest to f? (a) -21 (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 10.568, 2, 8\/17 in ascending order.\nAnswer: -72, 8\/17, 2, 10.568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69473669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 532 + 51442?\nAnswer: 51974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*(1\/3 + -1). Let j(f) = -7*f**2 - 5. Let d be -1 - (-25 + 0 + 0). Let a(l) = 9*l**2 - d + 10 - 29*l**2. Determine o*j(v) + 5*a(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 61 - 5. Suppose 16*j = z*j - 7338. Is 52 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*g + 1910, 2*h = -2*g - 3*g - 1264. Find the common denominator of (-2)\/5 + (-3165)\/400 + 2 and -2 - (h\/(-16))\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 19 = 3*i, -29*j = 3782*i - 3783*i - 148 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + (-26)\/(-6). Let i = 16 - 14. Let o = 3.9 - 4. Which is the closest to o? (a) -5 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1878)\/126 + 2*(-1)\/21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 2*z**2 - 3*z - 5. Let u be r(-3). Suppose 3*k - 54 - 6 = 0. Calculate the remainder when k*(35\/(-4))\/u is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + (-147)\/(-42))*88\/28\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/3514882 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19263 - 462385\/24. What is the common denominator of 44\/27 and d?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31331020 (base 6) in base 7?\nAnswer: 10524312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 46, -0.08, -4.283, -2\/11, -26?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 49 = -2*y, 0 = k - 2 + 7. Let m(x) = x - y*x + 1 + 7*x - 8*x. Give m(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1251 - 1043. What is the highest common divisor of d and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 65 + 25. What is the common denominator of ((-31)\/b)\/((-2)\/3) and 16497\/468*(-2)\/27?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 37*c**4 - 6*c**3 - 3*c + 104. Let o(j) = -j**4 + 2*j**3 + j. Let t(y) = 3*o(y) + q(y). Find the first derivative of t(v) wrt v.\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80400155 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 9*z**6\/40 + 5*z**3\/6 - 12*z**2. Differentiate u(a) wrt a.\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31844592?\nAnswer: 2, 3, 13, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.4. Let r = -5.6 - o. What is the closest to -1\/2 in 1, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 16*u + 28*u - 8 - 15*u. Let t(s) = -s - 2. Let a be t(5). Does 13 divide f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + 4 + 3*r)*(15*r + 22*r + r)*(0 + 1 + 1).\nAnswer: -76*r**2 + 304*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9026 or -1028819\/114?\nAnswer: -1028819\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 1920*u + 1924 = 0. What is u?\nAnswer: -1, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 11. Let q(c) = -2 - c + 1 + l + 4*c. Let y(r) = -7*r + 2. Calculate -5*q(t) - 2*y(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 11. Let p(g) = g - 12. Let m(n) = 4*p(n) + 5*q(n). Is 2 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 3, 4*r - 3*a = 17. Suppose -1 = -5*b + 14. Let p(s) = -s**r - 5*s**b + 2*s**2 + s**2 - 3*s**2. Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-30) - 0 - 426\/1065.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, 0, -4, -3, -71 in descending order.\nAnswer: 4, 0, -3, -4, -48, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - q**3 - 2*q**3 + 5*q**3 - 3*q**4 + q + 16*q**4 in the form p*q**2 + v*q**3 + c*q**4 + g*q + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 27.2. Let t = h + -16. Let b = -42.00000085 - t. Round b to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480.8*-0.4.\nAnswer: -192.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4770313 is divided by 2385154.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 156 = -t - 2*t, 2*q - 110 = -5*t. Suppose -22*l + 17*l + 12*u + 76 = 0, 4*u - 8 = 0. What is the greatest common divisor of l and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/8*h**4 - 3\/8*h**2 + 3\/8*h**3 + 0 - 3\/8*h = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*n**3*v**2 + 18*f*n**3*v - f*n**2 + 7*f*n*v**2 - 22*f*v**2 + 54*n**3*v**2 + n**2 wrt n?\nAnswer: 6*f*v**2 + 108*f*v + 324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.4. Let o be 1 - (-1)\/(15\/4888). Let y = 327 - o. What is the closest to h in 5, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -7*w - 14*h + 15*h - 36, -2*h = -8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -996528?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y. Let g(l) = -l + 1. Let f be g(-1). Calculate the remainder when s(f) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1307 - 155531\/119. Let q(b) = b**2 - 15*b + 55. Let u be q(9). Which is bigger: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 16884 = 54*t. List the prime factors of t.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:08 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13844 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2197 - 1532. Calculate the highest common factor of r and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 2. Let d be (-50)\/(-16) + (-12)\/96. Let s(i) = -3*i + 3*i - 1 + 4*i - d*i. Suppose -5*k = 4*t - 3, -3*t + 26 = 2*k - 3*k. Give t*s(u) - 3*g(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168870813 by 1.\nAnswer: -168870813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1878029792 by 2137.\nAnswer: -878816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 13120?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21*x**(-1\/13))\/(x*x**(-16)\/x*x\/(x**(-21)*x)) assuming x is positive.\nAnswer: x**(207\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112110 - -2011200202?\nAnswer: 2012020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/380 and -26\/5.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -4*p**5\/5 + 7*p**4 - 20*p**3 + 18*p**2 + 39. Factor z(k).\nAnswer: -4*k*(k - 3)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03773 or 130?\nAnswer: -0.03773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334132 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 11*c**2 - 11*c. Determine y(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 6) to base 4\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1092, 2190, 3288, 4386?\n\"Answer: 1098*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200.122*-0.4\nAnswer: 80.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 639306.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (7 - (11 + -15 - -25))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(187)\/(sqrt(11) - sqrt(99)))**2.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*f + 197*f = -198 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1167*m + 60. Let x(o) = -2334*o + 116. Let s(n) = -5*g(n) + 3*x(n). What are the prime factors of s(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1131820*x**3 - 3101*x - 558?\nAnswer: 6790920*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566902 divided by -3?\nAnswer: -1855634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*j - 28, 3*j + 13 = -3*h + 4*j. Let d be 1 + (h - -4) + 21. Solve -3*r - d = -4*c, -4*r = -3*r + 5*c - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380400786.\nAnswer: 2, 3, 19, 83, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/3 and -151\/7566.\nAnswer: 7566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f\/f**(1\/2)*f*f*f)*f*f*f*((f\/((f\/f**(-1\/8))\/f))\/f)\/f*(f*f**(-1\/3))**(3\/40) assuming f is positive.\nAnswer: f**(-63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeepvveepee. Give prob of picking 1 v and 1 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.277838 rounded to 2 decimal places?\nAnswer: -33.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989 and 5805?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 42. Let j be b(-18). Let g be 4 + ((-2)\/j)\/((-5)\/(-45)). What is the greatest common factor of 91 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 80, 0 in decreasing order.\nAnswer: 80, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 174 - 254?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 5770*z + 760937. Determine w(-129).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*s**2*t*z**2 - s**2*t - 96*s**2*z + 343593*s*z**2 - t*z**2 + 3*z**2 wrt s.\nAnswer: 290*t*z**2 - 2*t - 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.3, -33, -2138?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/50 + f**3\/15 + 3*f - 5. Let m(o) be the first derivative of h(o). Solve m(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3\/7 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:32 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*k + 633*k - 2506 = 326*k - 1063 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -59. Let j = r - 35. Let m = j + 6. Which is the closest to m? (a) 0 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523729669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/4 - 5*q**3\/6 - 4*q**2. Let n(o) = 3*o - 2. Calculate 2*c(x) - 5*n(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikwwwbbiwwkwb. Give prob of picking 1 i, 2 k, and 1 w.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 w, and 1 u when four letters picked without replacement from wzwkdzwwkwuwkw?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059158 a multiple of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v + 11. Calculate m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 56. Let h = -0.23 + 0.03. Which is the second smallest value? (a) h (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 5994*w\/7 - 1545480\/7.\nAnswer: -(w - 5724)*(w - 270)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871331779.\nAnswer: 6619, 131641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.7 from -956.15427.\nAnswer: -961.85427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8166, -8165, -8164, -8163?\n\"Answer: i - 8167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18415 + -0.0853. Let f = t + 0.262. Round f to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:10 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120002 - -12221120220?\nAnswer: 12210000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Let s(x) be the first derivative of -x**3 - 4*x - 34. Give z(s(q)).\nAnswer: -9*q**4 - 24*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 26251623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33017260 or -33017265?\nAnswer: -33017265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 4. Suppose w - 3*p = -5 + 17, 0 = 4*w + p - 22. Let x be y(w). Let c(r) = -3*r - 4. What is the units digit of c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(99) - -3*(sqrt(99)*4 - sqrt(99) - sqrt(99))) + sqrt(99)))\/(sqrt(63)\/(sqrt(7) - sqrt(112)) + (sqrt(9) - (sqrt(72) - sqrt(72)*1)\/sqrt(8))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565 + 494 + 17*k - 1546 + 489.\nAnswer: 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -19 - (11 + -25 + (23 - 15))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looqq. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 14 + -11 - -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(-5 + -5*sqrt(363) - sqrt(363) - (sqrt(363) + sqrt(363)*-2)*1))**2*-5.\nAnswer: -728000 - 44000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 235, 186?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10290430*v**5 + 15608872*v wrt v?\nAnswer: 205808600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 92218823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 divided by -132.\nAnswer: -181\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 731231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 9*y**2 - 8139*y + 4. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 5*c + 5. Let z be f(5). Let r(q) = -q**2 + 3*q. Suppose -3*d = -3*m - 9, -m + 5 - 22 = -3*d. Let w(p) = p**2 - 2*p. Determine d*w(t) + z*r(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 4 (b) -0.4 (c) -13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 4*j + 1 - 1 + j + (-2 + 2 + 1)*(-4 + 2*j + 4) + 4*j + 0*j - 2*j - 4 + 4 + 4*j)*(j - 3*j + 4*j)*(17*j + 29 - 29).\nAnswer: 340*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 5:42 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -14 - 58 - -17?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:21 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4285204 or 4285205?\nAnswer: 4285204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3674 + 373 = 2*u, 3*h + u + 1980 = 0. Let d = -399 - h. Suppose -5*g = -4*p - 271 - 14, 5*g = -p + d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10425.19 rounded to the nearest ten?\nAnswer: 10430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 3*x**2 - x + 25. Suppose 4*m + 608 = -5*q + 584, 30 = -q - 5*m. What is p(q)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*i**3 - 20*i**3 - 7*i**3 + 61*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 562098164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 0.25?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5847972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 73971 - b + 17025.\nAnswer: -4*b - 56946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 - 485*d**3 - 1697*d**2\/7.\nAnswer: -d**2*(d + 1697)*(2*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (27 + 2)*(2 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -10*x**2 + 0*x**3 + 0*x**4 + 0 - 3*x - 3\/5*x**5. Differentiate w(z) with respect to z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568992 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 21. Which is smaller: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let m(v) = 4*v + 36. Let s(g) = -m(g) - 12*r(g). Let j be s(5). Calculate the greatest common factor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93271 is divided by 6218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36151934411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 19*h + 15. Let a be b(-19). Solve -v - a = -6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-21)\/12 - -1)*95\/(-342)*6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4310 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192306194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.44353*-10.\nAnswer: 1074.4353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166\/37 - 53404\/407. Is -128 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*o = 2342043 - 277365. List the prime factors of o.\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 441 + -63. Let x be 9\/(-15) + 702\/39 + -17. Is r greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3041 + 11479. What are the prime factors of s?\nAnswer: 2, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229388 divided by -6?\nAnswer: 204898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f - 4*v + 17, -v = 5*f - 9. Let z = -5 + 0. Let j = 16 + z. Calculate the highest common factor of f and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.22 + 1.82. Let v = -104.3 - -99. Let i = v - f. What is i rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413 (base 5) to base 3\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 3*l**4\/4 + 8*l**3\/3 - 3*l**2 + l + 42. Let j be m(-7). What is j rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -299*f + 1137. Let m be l(3). What is the greatest common divisor of m and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -3 + -25 + 10)*(-29 - -10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 287.6408 and 4.\nAnswer: 1150.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55474 or -1843?\nAnswer: -1843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-6 + 0) - 0. Solve -8*a = r - 43 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -1178 (b) -0.313 (c) -1\/7 (d) -0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/(2\/3)*67\/((-10586)\/(-1422))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 14*v**2 + v**2 + (-2*v + 0*v + v)*(-4*v + 2*v + 4*v) as n*v**2 + d*v + f and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*u - 21*u - 22*u + 6*u.\nAnswer: -73*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/54 - 2*w**3\/27 + w**2\/9 - 7*w. Suppose t(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2442145 bigger than 0.018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 226*c - 234*c + 16. Suppose 3*f + 5*b - 594 = 0, -c*f = -0*f - 2*b - 380. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/18*704\/(-44)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17901309*k**4 - 5707*k**2 + 258*k?\nAnswer: -429631416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.25 - -15.75. Let u = -1775387 + 1775403.00018. Let y = u - f. What is y rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 32235*r**2\/2 - 258235875*r\/2 + 24824186375\/2.\nAnswer: -(r - 95)*(r + 16165)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(4 - 6). Let i be g\/((-1)\/(-15) - 0). Is 5 a factor of 5\/i + 94\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(13520\/184) - 2\/10.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116572, -233141, -349710, -466279, -582848?\n\"Answer: -116569*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8590.6 - -8590.5999762756. Round m to 7 dps.\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545328 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 6. Suppose -7*a + 2*a + 10 = 0. Suppose -46 = -5*l + 4*c, a*c + 14 = -0*l + l. Give d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + 1. Let n(s) = 246971*s**2. What is j(n(l))?\nAnswer: 243978699364*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 - 8*p. Let x be q(9). Solve 6*j - x = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 3*l**2 + l - 879 - 4*l**3 + 880. Let z be b(-1). Let n = 25 + -18. Solve z*d + 11 = p, n = 3*p - p - 3*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256788761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 6. Let c(f) = 2*f + 5. Determine 3*c(v) - 2*x(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 201, 361, 491, 537, 445, 161?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25696.221 - 26137.4. Let v = l + 441. What is v rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8.4 and -13590496404.\nAnswer: -13590496412.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 3.4. Let b = u - -3. Let w = 1.97 - -0.03. What is the nearest to 1\/2 in w, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x**2. Let d(r) be the second derivative of -r**7\/1260 + 3*r**4\/2 - 14*r. Let p(t) be the third derivative of d(t). What is a(p(s))?\nAnswer: 76*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0)*(12086*d - 11 - 13444*d + 11)*(3*d**3 + d**3 - 2*d**3) in the form k*d**2 + q*d**3 + b*d**4 + z*d + s and give b.\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*c + 881 + 1167, 0 = -4*m - 4*c + 8184. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109846892 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55191, 110541, 166253, 222507, 279483, 337361, 396321?\nAnswer: 456543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -506322 (base 10) to base 9\nAnswer: -851480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 2891437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-22)*23485\/(-100345)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-26)*(128960\/384)\/(-155).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10338005515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 9:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(216\/111) + -15 + (-13)\/(-1) and -139\/2076?\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/(-105))\/((-4)\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/120*0)\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a + 20 = 0. Suppose -159 = -5*i + 2*n, -a*i + 3*n = 7*n - 177. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*a - 1. Find the third derivative of -7*r - a*r**4 + 6*r**2 + 7*r wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.92 less than 0.4?\nAnswer: 6.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 5626*f**2 - 67.\nAnswer: -5626*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1155 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/94)\/((((-5)\/(-40)*-4)\/(-1))\/18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44 + 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 20*p**2 - 27*p + 93. What is s(19)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2646 and 35779779.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83541 is divided by 20883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-54))\/(7\/(-21))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*d + 10, 2*d = -18*x + 343 - 243 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = r + 5, 5*x = 5*r + 5. Suppose -3*k - 1 = -5*h, 4*k + x*h = 6*k. Solve 2*g = k*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-53))\/((-2700)\/1800).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 28 = 7*x + 3*j, x + 8 = 3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 + 141*h + 556. Determine v(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2407353*w*z**3 + 80*w*z - z**3 + 79836574 wrt w?\nAnswer: 2407353*z**3 + 80*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4192194 + -4a?\nAnswer: -4192222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12222103133 (base 4) to base 2\nAnswer: -110101010010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 125. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-124*u**2 + 21*u**2 - 91*u**2)*((2 - 1 - 3)*(6*u**2 - 1 + 1) + (3 - u - 3)*(-u + u + 2*u)) in the form x*u + w*u**3 + p*u**2 + q + t*u**4 and give t.\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 285*d**2 + 2291*d + 83. Give j(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 4, h: 1, l: 7, f: 1}. What is prob of picking 1 l, 1 h, and 2 e?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*p + 17, 5*p = 4*z - 9*z + 25. Let m(w) = 13*w**2 + 1. What is the least common multiple of 57\/z - 2\/8 and m(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 times -52.1\nAnswer: 8752.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.0074 - 2.053319. What is f rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2)\/4 - 13\/(-26). Solve 0 = -4*n + 16, -u - 3*n = -r - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*j - 2962 = 457 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 2 - 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(800) - sqrt(800)*2)\/((sqrt(120)*-2 - sqrt(120))\/sqrt(12)).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*m - 615, -3*x - 100 = -4*x + 4*m. Suppose 6*v + 4 = 4*v. Let y be x\/32 + 8\/v. Which is the second smallest value? (a) y (b) -0.2 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/762125 and -33\/2875?\nAnswer: 17528875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 396 = 4*u - 3*u, -792 = -2*u - 2*x. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(54\/(-26) + 2). Suppose -w*z = -8*z - 25. What is the tens digit of (-5)\/z*(-198)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*15\/5 + -1*33. Let a be (-6)\/(w\/5) + 16. Round a to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/(-15) + (-1)\/(-5). Let a(q) = -8 - q**2 + 9*q + 13 - 2 + 2*q**2. Let z be a(-8). Is z <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, 1, 2, 1724, 5 in descending order.\nAnswer: 1724, 6, 5, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + (-770)\/15. Let t = h - 95. Calculate the common denominator of -83\/14 and (-18)\/(-24)*t\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25*o - 495. What is j(-14)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 171, 727, 1657, 2961?\n\"Answer: 187*n**2 - 5*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -44810\nAnswer: 1120250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*l + 3*l. Let g(b) = 4*b**3 - l*b**3 + 2 - 16*b + 17*b. Determine g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8779 + -647. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 3*z**2 + 77 + 4*z + 2*z**2)*(-121*z**3 + 27*z**3 - 89*z**3).\nAnswer: 183*z**5 - 732*z**4 - 183*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - 4*p**4 + 3*p**3 + (34 - 11 - 12)*(4*p**4 + 1 - 1).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*(-2)\/84)\/((-1)\/9). Sort 5\/4, 1, 3\/4, o in descending order.\nAnswer: 5\/4, 1, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37527 by -692.\nAnswer: -37527\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 335*y**2\/4 + 83*y - 167.\nAnswer: (y - 1)*(y + 2)*(y + 334)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 10) to base 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 4*z + 4*z)*(-1 + 1 - 3*z)*(0*z - 2*z + z) as i + s*z + g*z**3 + c*z**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.05 + -4?\nAnswer: 70.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1039, -4251, -9611, -17125, -26799, -38639, -52651?\n\"Answer: -n**3 - 1068*n**2 - n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 3. Let s be n(3). Suppose -6*h - s = -3*h. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) - 16748\/10. Let r = m - -1670. Let x = 9596\/1859 - 12\/169. Calculate the common denominator of r and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 510 + 18*h + 192 - 695. Let r(d) = -17*d - 8. What is 7*c(v) + 6*r(v)?\nAnswer: 24*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - (6 - 4) - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1643 (b) -6\/43 (c) -124 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 15. Let q be t(-13). Suppose 6*d - q = -3*d. Suppose d*u - 2*u = 4*v - 84, -12 = -3*u. Are v and 27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 - 13*t**3\/3 - 4*t**2\/3 = 0.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4 - 2442*t**3 - 24620*t**2 = 0.\nAnswer: -10, 0, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 13*a**6\/360 - a**5\/24 + a**4\/3 - 9*a. Let u(q) be the third derivative of j(q). What are the prime factors of u(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4255960 divided by -515.\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1795, 3034, 4273, 5512, 6751, 7990?\nAnswer: 9229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Let b(u) = u + 3. Determine -7*a(x) + 5*b(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6829*f**2*u**3 + 836060*f**2 + 136*f*u**6 + 2*u**2 wrt u.\nAnswer: 40974*f**2 + 16320*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -295aa57a + -5?\nAnswer: -295aa584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -33.9. Which is the closest to y? (a) -3 (b) -2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 453337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-14))\/((-6)\/(-8)). Let x(m) = 2*m + 4. Let g(q) be the third derivative of -q**4\/12 - 5*q**3\/6 + 6*q**2. Determine v*g(l) + 3*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184, -2726, -7012, -13036, -20792, -30274, -41476, -54392?\n\"Answer: j**3 - 878*j**2 + 85*j + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(300)*-6) + -3 + (sqrt(12) - -3*sqrt(12)).\nAnswer: -3 + 239*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 35. Suppose 4*f = -y*m + 152, 0*f + 6 = 2*f. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 20 = -h. Suppose o - 25 = -h*o. What is the highest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/24 and -65\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -980, -985, -990, -995, -1000?\n\"Answer: -5*g - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4*o - 41. Let v be n(-5). Let d be -6*3\/v*4. Solve 5 = -l + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -220?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234540 by -58635.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 - 3*u + 3. Let m be x(-3). Let s = m + -2. Let v = -11 - -40. Calculate the remainder when v is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/70 + 13*g**3\/21 + 12*g**2\/7 - 3*g + 1. Find d such that p(d) = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 1394?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 + 2 = u, 3*k + 4*u = 6. Find the second derivative of -11*x**2 + 11*x**k + 3*x**5 - 6*x wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 - 175. Let a be -56*(-1)\/(16\/20). Let g = a + q. Solve 15 = -g*x + 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 10249.78?\nAnswer: -30749.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 2*d - 3, -2*a - d + 0*d = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - (-3 + 3)) + 66 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -17. Put 0, -1, g in descending order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) 3 (c) -2\/7 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 + (-4 - -1 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -22*p - 17. Let c(m) = 13*m + 8. Let a(j) = 29*j + 17. Let d(f) = -2*a(f) + 5*c(f). Determine -17*d(w) - 6*u(w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -985.008195 + 808.0082488. Let q = 177 + m. Round q to six decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -277.0161 - -277. What is k rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0468062252 and -5.\nAnswer: -4.9531937748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243860, 975424, 2194698, 3901682, 6096376, 8778780, 11948894?\nAnswer: 15606718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10679003\/373 + 28630. Let m = z - -12825\/4103. Let h = -2837 + 17083\/6. Calculate the common denominator of m and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/57 + -34\/57. Put -7, -3\/7, v in decreasing order.\nAnswer: -3\/7, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/66218 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 370387 = -151059. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v. Let d(y) = 11*y - y**2 - 30*y + 2*y + 2*y - 11*y**2. Give 3*d(z) - 45*t(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 76. Let g be (-1)\/((-7)\/(-2)*n\/7). What is the second biggest value in 9, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -2, 4, 2\/7, 0.1, -139?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gaggttgtatgg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 169613 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2297871 and -37\/3574466.\nAnswer: 32170194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 8*r + 3. Let f(i) = 2*i + 1. Let d(n) = -3*f(n) + w(n). Give d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 43*a**2 + 89*a - 45. Let x be l(-45). Solve x = -6*b + 12*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)\/(12\/(-30)). Let x = u - -9. Let l be -2 - -6*2\/x. Solve -m + 2 = -l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2) + 125 + -127.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:14 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {r: 2, a: 1, y: 2, b: 14}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2 - 8*i + 6. Let r be t(-6). Solve -3*h - 4*f + 6*f + 1 = 0, -4*h + 8 = -r*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*j = 4470, -3*n + 138 = 4*j - 3217. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 8, m: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49905072 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132.1 + -132.6. Let l = -3 - 5. Which is the fourth smallest value? (a) 2\/11 (b) l (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 626, 1695, 3682, 6893, 11634, 18211?\n\"Answer: 51*t**3 + 100*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 - 10*f + 4. Calculate y(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-60)\/16)\/5*-4 + -163. Let q = -47 - k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 56, 1 in descending order.\nAnswer: 56, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 704264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*u - 34*u**2 + 9*u**3 + 80 - 20*u**2 - 4*u**3 - 10*u + 9*u**2.\nAnswer: 5*(u - 8)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**2 + 1252*f + 136. Calculate r(-83).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -50. Let t be (-8 + 3)*b\/25. Suppose 0 = t*a + 2*n - 3*n - 51, 0 = -4*a + 5*n + 117. Calculate the remainder when 43 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 95*k**2 + 67*k - 10. Let l(b) = -46*b**2 - 34*b + 4. Let o(m) = -2*c(m) - 5*l(m). Solve o(s) = 0 for s.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120731 is divided by 7541?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4099 - -264695.\nAnswer: 268794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 + 6*h + 3. Suppose -2 = 2*w + 10. Let b be i(w). Factor -z**2 - 1\/3 + 1\/3*z**b + z.\nAnswer: (z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 - d**2 - d**2 + 3*d - 2*d**3 + d**3. Suppose 5*h - 24 = -3*z, 2*h - 2 = -2*z + 10. Suppose 4*p = 2*g + 2*g, h*g = -p - 12. What is k(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -3*m - 9, -m + 5*t = 0. What is the closest to 2\/15 in m, 3, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*k**4 + 790*k**3 + 3*k**2 + 810835*k wrt k?\nAnswer: 492*k**2 + 4740*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, 0.4, -8\/7, 2.\nAnswer: -8\/7, 2\/9, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-23)\/(f*f**(2\/21)\/f)*(f*f**(-1\/19))**34 assuming f is positive.\nAnswer: f**(3637\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 3*i - 8, -3*i - 2*p = 10. Let f(l) = 4*l - 1. Let y(z) = -z. Let u(o) = -f(o) - 5*y(o). Let v be u(3). Solve i*m + 2*m + v = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/9 (b) -5 (c) 3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 621\/26082*(-21)\/(-2). Let l = 0.2 + -0.1. What is the closest to i in -0.1, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Calculate the smallest common multiple of 1 and (-1)\/(h\/2*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52874.1153 + 285.\nAnswer: 53159.1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-53)\/84 - 305\/8540. What is the second biggest value in -63, r, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2*f**2 - 4)*(31809 + 256*f - 31809)*(2*f - 2*f - 2*f)*(-1 + 0 + 2 + 5 + 2 - 5 + (-2 - 5 + 5)*(2 - 3 - 1) - 1 - 1 + 3).\nAnswer: -8192*f**4 + 4096*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120885.\nAnswer: 3, 5, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 29*y + 15027. What is b(-117)?\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -1 - ((0 - (-8 + 15) - 6) + 6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 3\/5 (c) -20\/17 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 5\/6 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781637 is divided by 2383?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 5, 32, 93, 200, 365, 600?\n\"Answer: 2*l**3 - l**2 - 6*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 879967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000702852 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 5*h + 5. Suppose 4*k - 2*d - 2 = 5*k, 32 = -4*k + 4*d. Determine c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:03 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474755?\nAnswer: 5, 94951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 23. Let d(a) = -a**2 + 14*a - 14. Let z be d(n). Calculate the highest common divisor of 76 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181.86 + 183. Let x = y - 1.14002188. Round x to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428 and 5198583.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (18\/(-10))\/((-232)\/(-290))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010010101 + -111000101101?\nAnswer: -11010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 - 235. Suppose x = -5*r - j + 1274, -r + 323 = -3*j + 65. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 3*a = 585. Suppose -5*h - 5 + a = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 2 (c) 7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 13. Let r be x(-6). Suppose g = -3*g + 2*s + 14, -r*s - 14 = -3*g. What is the hundreds digit of -2 - -3 - (-459)\/g - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -29. Let t = -22 - g. Differentiate 2*o**3 - 12*o**t + 0 - 3 - 11 with respect to o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3375*g**4\/7 - 379350*g**3\/7 + 151380*g**2\/7 - 20168*g\/7 + 128.\nAnswer: (g - 112)*(15*g - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 17971 - 15752 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.831 + 728.169. Which is the third biggest value? (a) 1 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -3*(sqrt(13) + (sqrt(117))**2) + (sqrt(78) + -1*sqrt(78) + sqrt(78))\/sqrt(6).\nAnswer: -351 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -0.043, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 130190.3811796 and 6.2?\nAnswer: 130184.1811796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 411140 (base 5) to base 8\nAnswer: 31757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 1. Let t(l) = -l. Let c(d) = 2*a(d) + 7*t(d). Calculate c(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5308*q - 5306*q + 16, -2*q = 7*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 10 = 0, -2*w + 20 = p. Let z = p - 10. Let c(i) = i + 6. Determine c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12929 = -21*b + 14*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*u - 218 - 21 - 131 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*l = 106, -2*j + l = -0*j - 217. Let g be 1\/(-4) - 202\/(-8). Suppose 0 = -a - 1, 2*a + g = 5*t - 37. What is the highest common divisor of j and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((2 - -5)*-1)\/(1\/(-31)). Let t = 307 - d. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152\/5? (a) 1\/2 (b) -11 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*v + 14, -7*i - 2*v = -4*i - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*j - 17, -5*j - 35 = -2*d - 3*d. What is the tens digit of (-148)\/(d*-2) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 12 = 92 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 20*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -2 - (-7 - (-9 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 3 (b) -3\/2 (c) -0.8 (d) 8 (e) -1\/6 (f) -432\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107536)\/(-23595) + (512\/(-48) - -6).\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159\/35 + 50\/7. Let c = 150856.5 + -150856. What is the closest to u in 1\/9, 3\/2, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(2\/17))\/m)*m**(4\/7))\/((m*(m\/(m**1\/m))\/m)\/m*m)**(1\/9))**5 assuming m is positive.\nAnswer: m**(8450\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i = -9. Let r(k) = -2*k - 8. Let d be r(-7). What is the second derivative of -d*b**3 + 9*b**2 - i*b**2 - 6*b wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787335947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - w - 1 = 0, -2*w = 5*x - 0 + 2. Suppose 3*q - 9 + 3 = x. Suppose 7 = q*i - 15. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -828.657949 to 2 decimal places.\nAnswer: -828.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965335 is divided by 156.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z. Let q = z + 21. Let o = 26 + -23. What is the greatest common divisor of q and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/18)\/(-9))\/((-5)\/(-170))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + x - 3. Let h be f(0). Let w be (-5)\/(0 - (h + 4)). Solve w*o = o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - i + 6*i + 15, -5*i = 15. Let p = 10 + -4. Suppose n = l - m + 4*m + 5, 3*l = -2*m + p. What is the second biggest value in -5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04823 + 30.015744.\nAnswer: 30.063974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 + 8300*c**2\/11 - 58198*c\/11.\nAnswer: 2*c*(c - 7)*(c + 4157)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2685.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 111, 0, -2?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + 1 - (sqrt(17) - sqrt(1088)*1) - (-4 + sqrt(17)*-4 + 5)) + 2)**2.\nAnswer: 60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*d - 2. What is the nearest to d in -1\/4, -4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 29*g - 25*g**4 + 10*g**4 - g**2 + 5*g**4 + 8*g**4 to the form s*g**2 + b*g + y*g**3 + w + o*g**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {c: 3, r: 2, j: 13}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -215029.9?\nAnswer: -645089.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*y - 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 20*o + 23. Let s(m) = -7*m - 8. Let k(j) = -11*s(j) - 4*z(j). Determine k(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 33*p + 2*p**3 + 2*p**4 - 1 + 35*p to the form m + b*p**2 + o*p**4 + y*p + x*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 4. Suppose 0 = -g*r + 2*r + 14. Suppose 10 + r = l. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30\/11*q + 2\/11*q**2 - 432\/11 = 0. Calculate q.\nAnswer: -9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -731 (base 8) in base 9?\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q + 2. Let o(d) = -15*d + 3. Let b(s) = -6*o(s) + 13*z(s). Let x be b(0). Solve -28 = -4*g - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 - -401. Suppose -12*k - 36*k = -10464. Suppose -4*v + 0*l - l + k = 0, -3*v + 4*l = -a. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/473 + 39197\/29799. Let y = -157241 + 3773777\/24. Find the common denominator of j and y.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -0.2 (c) -4\/3 (d) -3 (e) 2.86 (f) -4 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 - u**5\/12 - 7*u**4\/24 + 7*u**3\/6 - 4*u**2. Let b = -2 - -8. What is the units digit of w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 8*d + 2. Let j be l(-6). Let c = -24 - j. Let v = c - -26. Calculate the greatest common factor of v and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 1 - s**3 - 12*s + 6*s + s**2 + 3*s**3. List the prime factors of o(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 = -b + 3*y, 3*y - 3 = -3*b. What is the nearest to b in 4, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331112.\nAnswer: 2, 41389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + 20 = 32*c. What is the remainder when 7 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 120\/2*(-1)\/(-2). Let v(h) = 9*h + s - 42 - h. Let c(y) = 1. Calculate 10*c(t) + v(t).\nAnswer: 8*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose 5*u - 3*t - 919991 = u, 4*u + 4*t - 920012 = w. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssesesetet. Give prob of sequence ee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-328)\/(-6))\/((-20812)\/15609).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-220)\/(-3) - (12\/18)\/2. Suppose 72 = 5*k - q. Find the first derivative of -2 - 7 + k*v**3 - 16 wrt v.\nAnswer: 87*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(51)\/sqrt(3) - (5 + (sqrt(68))**2).\nAnswer: -72 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1717322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1228 and 3684.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -0.55. Let w = -0.555 - h. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2\/3 - 1\/3*o**2 - o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/10 + 7477*b**2\/2 + 116463621*b\/10 - 38825361\/10 = 0. What is b?\nAnswer: -6231, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2745 and 690.\nAnswer: 126270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from {z: 14, m: 5}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 272820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378440 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: Sort -5, -4792, -127.\nAnswer: -4792, -127, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 1. Let r be m(-1). Let h = r - 3. Let f(o) be the third derivative of -o**5\/60 + 5*o**4\/24 + 5*o**3\/6 + o**2. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 22*q**2 - 3*q + 4806. Let u be v(0). Calculate the highest common factor of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cb8e - -a9?\nAnswer: -cad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 + 1?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330281.\nAnswer: 7, 29, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**2)*o)**(-2\/13)*(o\/(o**(-4)*o))\/o**(-1\/3))**15 assuming o is positive.\nAnswer: o**(755\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w - 7 - 41*w + 16 + 14*w**2 + 61*w to the form v*w + i + r*w**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 58 (b) -1\/19 (c) 0 (d) -4\/3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 - -2) + 289\/(-51)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owdj when four letters picked without replacement from {j: 1, w: 9, d: 5, o: 1}.\nAnswer: 3\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.00848 decades to centuries.\nAnswer: 4.000848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286640509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 25*u**2 + 22*u - 12. Let g be z(-24). Let f be (-117)\/(-2) + (-18)\/g. What is the highest common factor of f and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 168849, 169835, 171479, 173781?\n\"Answer: 329*m**2 - m + 168521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 3*f + 3*f. Let w(s) = 27*s. Let h(j) = w(j) - 36*y(j). Let m(u) = -2*u + 15. Let l(x) = -x + 5. Let b(q) = -3*l(q) + m(q). Determine h(b(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*l - 10*l**2 + 18*l - 58*l - 1 + 45*l to g*l**2 + c*l + z and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22555809 is divided by 11277869?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*j**2*l**2 - 6*j**2*l + 1239*j**2 - 58*j*l**2 - 2*j*l - 3*j - 4*l**2 + 7*l - 955 wrt j?\nAnswer: -448*l**2 - 12*l + 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 20, 2*g = k - 35 + 77. Let z be k\/(-6) - -3*(-60)\/135. Find w, given that 2*w**2 + 0 - 6\/7*w - 10\/7*w**3 + 2\/7*w**z = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {r: 3, i: 2, h: 3, o: 11}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 79*t**2 - 935*t - 64. What is s(11)?\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 4*o**2 + 3*o - 3. Let k be r(-4). Let t = -8 - k. Find the third derivative of t*w**2 + 3*w**6 - w**6 - 9*w**2 wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12022002122 + -20?\nAnswer: -12022002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 5*x + 3, -16399233*j - 15 = -16399238*j - 4*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75296, 75434, 75572, 75710, 75848?\nAnswer: 75986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 171111704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 4, o: 1, h: 1, r: 5}. What is prob of sequence hu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*f - 4976 = 0, 4*i + 0*f - 3*f = 4997. What are the prime factors of i?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13102077977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*a - 15. What is the tens digit of 6*a*12\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 16 (c) -0.2 (d) -2 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34182*z**3 + 334 - 334.\nAnswer: -34182*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) -0.12 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3, -r + 5*m - 134 = -404. What are the prime factors of r?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 21277 = y, 0*v + 5*y - 14202 = -2*v. Suppose -2*m - 5*b + 7416 + 6760 = 0, -m = b - v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*m + 194 = -15, 5*w - m = 229. What is the remainder when w is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 5, b: 4}. Give prob of picking 2 b and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (18*772\/8)\/1 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -155. Let a be 35\/(z\/24 - (-2)\/6). Calculate the greatest common factor of 56 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.52651 rounded to one dp?\nAnswer: 207.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 26*x - 27379. What are the prime factors of x?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 6\/(-14) + 0 + 16130520\/1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6833*d + 293884. Determine b(-43).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 3*b. Suppose 3*o - b = 1. Find the third derivative of -2*w**2 + w**6 - w - w + o*w wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*g - 24 = 0, 2*g + 1 + 2 = q. Let s(j) = 2 + j - 3 + 4. Calculate the smallest common multiple of s(7) and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1569 = -4*x + x - 4*a, a = -2*x + 1051. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, -1\/3 in decreasing order.\nAnswer: 6, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 2*d**2 + 3*d**2)*(-1 - 4*d + 1 + (4 - 2 + 0)*(1 + d - 1) - d - 3*d - d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_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: Solve 785*o - 1209 - 385 - 761 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1301*w + 11725. Determine c(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15.06. Let j = 9.94 - c. Let b = j + -9. What is the nearest to b in -2\/7, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66154859, 132309721, 198464583, 264619445, 330774307, 396929169?\n\"Answer: 66154862*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 + 3*c - 2 + c - 5 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(-42)\/7. Sort 0, 3, f, -6 in descending order.\nAnswer: 3, 0, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/72 + 91\/72. Let q(f) be the third derivative of 0*f + n*f**3 - 1\/35*f**7 + 0*f**5 + f**2 + 0*f**4 + 0*f**6 + 0. Differentiate q(o) with respect to o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -521*r**3 - 250*r**3 - 596*r**3 - 214*r**3 - 196*r**3 + 1348*r**2 wrt r.\nAnswer: -10662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*c - 4*a, -5*c + a - 3*a = -215. Let k = c + -103. What is the common denominator of 1*k\/(-33) + -3 and 44\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 1, t: 3}. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*-3*(((sqrt(567) - ((sqrt(567) - (sqrt(567) - 1*sqrt(567))) + sqrt(567)) - sqrt(567)) + sqrt(567))*6 + 3 + 1))**2 + 0).\nAnswer: -19856016 + 419904*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from eeokkeokhko.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let n be q\/(-2 + 1) - -63. Let f = 174 - n. Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 551*w - 22029. Give x(40).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -s - s - 40, -216*s + 219*s - 102 = -15*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 601544?\nAnswer: 601544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v - 4*b - 22, -b = -3*v - 28 + 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1704 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from mad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 42 = j - 2, 3*j - 1 = r. Let q(x) = x - 5. Let o be q(r). Suppose o = -3*b + 4*b. Solve -i = -1 + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let v = -170369\/73023 - 6\/24341. Which is the closest to i? (a) -0.4 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2*n - 6*n + 27*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 400*p**2. Let i(g) = -5 - g + 3 + 0*g**2 - 3*g**2 - 3*g. Let c(j) = 14*j**2 + 18*j + 9. Let r(s) = 2*c(s) + 9*i(s). What is a(r(m))?\nAnswer: 400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*q - 66, -6*t + 3*t - 91 = q. Let y be (29 + t)*2\/(-4). Solve 2*x = x + y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1231 - -1909. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 + 38*q - 12. Let r(u) = -5*u**2 + 35*u - 11. Give -5*r(i) + 4*s(i).\nAnswer: i**2 - 23*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*l - 3*o - 65, 0 = 2*l - o - 61. Let d = l + 78. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -72*k + 677 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5454 (base 13) in base 10?\nAnswer: -11730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*q = -3*n + 385, 231 = 3*n + q. Suppose 3*z - 49 = 212. Let x = z - 61. What is the remainder when n is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 a when four letters picked without replacement from {a: 3, k: 13, x: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Let o(n) = -1. Calculate 3*f(i) + 6*o(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*k + 5*j = 972*k - 39, -55 = 5*k + 4*j for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 + 2*p - 16. Calculate u(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(228) + ((sqrt(228)*2 - sqrt(228))*-3 - sqrt(228)))\/(sqrt(336)\/(sqrt(7) + sqrt(63))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -17. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqnqnnqqq. What is prob of picking 2 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -134 and 0.228774.\nAnswer: -133.771226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-27.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - 2*b**2 + 3*b**2)*(-1 + 6*b + 4*b - 11*b + (0 - 3 + 2)*(2*b + 0 + 0) - 2*b + b - b) as h*b**3 + s + p*b**2 + j*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1187 divided by -277\nAnswer: -1187\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*m + 8887 + 7619 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from mmmmmmmmmomommmo.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410 = -3*o - 5*m - 70, 3*o = -4*m + 344. Let i = 77 - o. Let w = i + 54. Is w less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2151 (base 6) to base 13.\nAnswer: 2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 207 - 222. What is i in 104\/3*i**2 - 434\/3*i**4 + 0 + 92\/3*i**3 - 196*i**m + 16\/3*i = 0?\nAnswer: -2\/3, -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15*h**2 - 21*h + 15. Let b(g) = -7*g**2 + 10*g - 7. Calculate -13*b(i) - 6*d(i).\nAnswer: i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 1. Let x(m) = -m**3 - 3*m**2 + m + 5. Let v(y) = 2*k(y) - x(y). Let o be v(-4). Is 672\/o - (-2)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5*g**6\/36 - 13*g**5\/120 - g**4\/12 + 5*g**2 + g + 24. Let w(b) be the third derivative of l(b). Differentiate w(c) wrt c.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(7) + sqrt(252) + 1)**2.\nAnswer: -18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -23*o**2 - 2 + o + 24*o**2 + 0. Let p be y(4). Find the third derivative of 18*j - p*j - 3*j**2 + 0*j**2 - 5*j**6 wrt j.\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17857151761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 63684*q - 337970988.\nAnswer: -3*(q - 10614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 9*n + 6. Let g(b) = -13*b**2 + 17*b + 13. Calculate 4*g(u) - 9*y(u).\nAnswer: 2*u**2 - 13*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 74 = 2*z, j = -2*z - 0*z + 58. Let h = z - 27. Let g be 46 - (h\/18 - 128\/(-72)). Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 15. Let z = 26 - j. Suppose -5*l = -4*h + 125, -100 = 3*h - 8*h - 5*l. What is the highest common divisor of z and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -1328, -1528, -1728, -1928?\nAnswer: -2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 39.\nAnswer: -17\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2 - 31*m**2 - 32*m**2 + 60*m**2 - 15*m. Let a be p(-6). Let s(x) = x**2 + 4*x - 39. What are the prime factors of s(a)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 - 397*a**3*s**2 + 290*a*s + 3*s**2 wrt a.\nAnswer: -24*a**2 - 2382*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 10, -5, -4, 0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 4*y + 2*s, -5*y + 4*s + s + 340 = 0. Suppose -236 = -9*b - 2. What is the highest common divisor of y and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 3\/5, -6.58, -2, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let b = t - -4. Suppose 2*m + 1 - 9 = 0. Calculate the smallest common multiple of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735027 is divided by 1373?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -0.2, -0.03, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 843581 and 2755.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdaakzuaajzd. Give prob of picking 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423 and 25497.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(((-15)\/24)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p - 20. Let l(v) = -19*v - 3. Let w(h) = 9*h + 1. Let m(q) = -6*l(q) - 13*w(q). Let r(i) = -2*k(i) - 9*m(i). Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 1380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86411 - 9505093\/110. What is the common denominator of j and 89\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t - 55. Let d(p) = -4*p - 27. Give -13*d(o) + 6*h(o).\nAnswer: 4*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -457*p**3 + 4*p**2 + 2*p + 1001. Let d(r) = 1823*r**3 - 15*r**2 - 8*r - 4003. Let j(a) = 4*d(a) + 15*y(a). Differentiate j(i) with respect to i.\nAnswer: 1311*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 3. Let b be g(-5). Solve 0 = -b*t + 3*j - 10, -5*t + 4*j = -3*t + 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*v, y - 5*v + 0 - 121 = 0. Let c = -978 + 990. What is the greatest common divisor of y and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -111\/8, -4\/7, 54?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22272\/25984)\/((-54)\/(-28))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 - 6. Let x be w(6). Let p(a) = -a**2 - 9*a - 4. Let z(y) = 6*y**2 - 1. What is the remainder when p(x) is divided by z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 41. Let t be g(5). Let a = t + -52. Suppose 3*i - 66 = -3*o, a*i - 2*o - 61 - 27 = 0. What is the remainder when i is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 6. Let f be a(4). Let l(z) be the third derivative of -z**4\/6 + z**3\/6 + 174*z**2 + 23*z + 1. Calculate l(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - 248. Let z = u - -18. Sort z, -4, 5 in decreasing order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.367 - -0.377. Round f to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9618984.\nAnswer: 2, 3, 133597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 47. Let x(m) = -9. Let u(l) = g(l) - 6*x(l). What is u(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 380496475 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175854954 divided by 106.\nAnswer: -1659009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*d = -15, 3*d + 3 - 12 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*-8394\nAnswer: -33576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + 8*w**4 - 3*w**4 + 65*w**3 + (-2*w**3 - 5 + 5)*(0*w + 0*w + 2*w) as z*w**2 + d + f*w**4 + t*w + r*w**3 and give r.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 67*j - 58*j + 125*j + j**2 - 6*j**3 wrt j?\nAnswer: -18*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*x + 40 = 0, 4*x + 651 = -4*d + 711. Solve 5*w = -d*w - 57 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -511827, -511830, -511833, -511836, -511839?\n\"Answer: -3*r - 511824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.017.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35213323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.91? (a) -0.4 (b) 0.8 (c) -0.5 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 868, -0.1, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 3705c?\nAnswer: -37062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1\/3)*q*q)\/(((q\/q**(-2\/5))\/q)\/q))\/(q*q**9*q**2) assuming q is positive.\nAnswer: q**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 208*l - 210*l + 62, -4*l + 3*q = -114. Solve 0 = -l*c + 20*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(2\/99)\/(i**(-7)\/(i\/((i\/i**(2\/5))\/i)*i)))\/(i**2*i*i**11*i)**(-16\/9) assuming i is positive.\nAnswer: i**(17858\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, 5, 5061, -4, -2 in ascending order.\nAnswer: -29, -5, -4, -2, 5, 5061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i)\/i**(2\/9))**(2\/125)*(i**(-1)\/i**(-2\/7))\/(i**(-2\/7))**(-2\/53) assuming i is positive.\nAnswer: i**(-304109\/417375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b + 5*n = 30*b + 15, 3*b + 2*n = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = z - 0*z. Let w(m) = 2*m + 1. Let a(g) = -g - 1. Let j(h) = 10*a(h) + 6*w(h). What is the remainder when j(z) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 16) to base 11.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23025*v + 16510*v - 23191*v.\nAnswer: -29706*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*24\/(-54))\/(-1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 3}. What is prob of sequence fkkf?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**5\/3 + 22*d**4\/9 + 12322*d**3\/9 - 156454*d**2\/9 - 69916*d\/9 + 71344\/3 = 0.\nAnswer: -49, -4\/3, 1, 14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 + 2 - m**2 - 1 + 3*m**2. What are the prime factors of f(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 34*m**2 + 35*m + 12. Let y be t(18). Calculate the common denominator of 321\/36 - (-1)\/4 and y\/180 + 10\/25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3328032 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135129, -270283, -405481, -540747, -676105?\nAnswer: -811579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/24 and 29\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5525053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 126144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 9*a**2 + 9*a + 5. Let t(m) = m**3 + 4*m**2 + 4*m + 3. Calculate 4*q(y) - 9*t(y).\nAnswer: -5*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 206002117 a multiple of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u - 51*u**2 - 4*u**2 - 707 - 13*u - 7*u.\nAnswer: -55*u**2 + u - 707","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/227, -2\/21, 7299 in increasing order.\nAnswer: -0.3, -2\/21, -2\/227, 7299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78188 = 2435*g - 141498 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-12)\/8*(-3)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1214*-68729.\nAnswer: -83437006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((29458\/(-100815))\/(-103))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 8:25 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -375. Let g = j - 411. What is the biggest value in -2, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 98*v - 93*v - 60, -3*g = -5*v + 55. Solve -v*r + 3*r - 12 = 3*t, 2*t = -4*r - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 5*d**2 + 2*d**2 + 0*d + 0*d + d**2 + (0 - 2*d + 0)*(-4*d + d + 2*d) + (-6 - 5 + 0)*(0 - d**2 + 0).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25929 - 31643. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/5)\/3 - (-502987)\/115 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36948, 73894, 110830, 147756, 184672?\nAnswer: 221578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/513843 and 133\/72.\nAnswer: 12332232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40465.076 + -11\nAnswer: 40454.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(308) - sqrt(308)*-1)\/sqrt(11) + (sqrt(168) + sqrt(168)*-1)\/sqrt(6))\/(-2*sqrt(576) - sqrt(1000)\/sqrt(10)).\nAnswer: -3*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 228, 852, 2058, 4038?\n\"Answer: 32*a**3 + 3*a**2 + a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -108, -204, -380, -660, -1068, -1628?\nAnswer: -2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnnvse. Give prob of picking 1 v and 2 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/24523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36580028 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4474 (base 13) in base 11?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-23)\/(-1656)*336?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -141 - 6549a0?\nAnswer: -655031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-2 - 0) - 0. Suppose 0 = -p*u - 12 - 0. What is the smallest value in 5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 4755*t + 148368. Let n be i(31). Factor -4\/3*c**3 - 48 - 52\/3*c**n - 64*c.\nAnswer: -4*(c + 1)*(c + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9 + -16 + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 6*c - 30, 1916 = j - 2*c + 1906 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451*t + 1571 - 1571)*(-3*t + 2 - 2)*(2*t + 2*t - 2*t).\nAnswer: 2706*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**7\/1260 - i**6\/135 - i**5\/45 + 5*i**3\/3 + 6. Let u(a) be the third derivative of n(a). Factor u(v).\nAnswer: -2*v*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 11*t - 3. Let v(l) = -l**2 - l + 1. What is -5*v(d) - x(d)?\nAnswer: 7*d**2 - 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 250. Let m = 300.1 + -443.8. Let h = m + t. What is h rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 106013, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005918868 to six decimal places.\nAnswer: 0.000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22632677351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12262200 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 + 3. Let j be q(3). Let u(s) = s + 5. Let b(v) = 1. Let i(w) = j*b(w) - u(w). Suppose -2*p + 6 = -3*p, o - 5*p = 29. What is i(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2057)*-2 - (-4*sqrt(17) + -3)*-2)**2.\nAnswer: 888*sqrt(17) + 93128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2\/4 + 33843*n\/4 + 680400 = 0.\nAnswer: -11200, -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55614 = 88*j + 98*j. Calculate the greatest common factor of 575 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*m**4 - 491*m**2 + 1 wrt m?\nAnswer: 4128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3642*1*30\/(-90) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8097 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2111418, -2111470, -2111520, -2111568, -2111614?\n\"Answer: h**2 - 55*h - 2111364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/12 + (-202)\/(-120) and (-25)\/(-3 + (-26)\/6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111718879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1061 - -65. Let f = -1695 - c. Let g = -406 - f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/4 + 9*k**3\/4 - 15*k**2\/2 - 18*k.\nAnswer: 3*k*(k - 3)*(k + 2)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23780.\nAnswer: 2, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (0 + sqrt(1331) + 3)**2) + 4 - (-4*(sqrt(1331)*-2 - sqrt(1331))**2 + (sqrt(1331) - (-1 + sqrt(1331))*6)).\nAnswer: 46574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crvcarcbsscsrbsaa. Give prob of picking 1 a, 1 b, and 1 s.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*15\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8115037 to the nearest integer?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 5*u**2 + 2*u + 1. Let a = -50 + 64. Suppose -3*r = -5*m - 21, 2*m - 2*r = 2*r - a. What is v(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 21*n. Let j(k) = -6*k. Give j(m(v)).\nAnswer: 18*v**2 + 126*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28033087 to 4 dps.\nAnswer: -0.2803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*v**3)*(0 - 1 + 0) - 2*v**3 + 2*v - 2*v + v - 5*v**3 - v - 62*v**3 + 3*v**3 - 2322 + 2320 to the form h*v**3 + w + l*v**2 + z*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 - (0 - -2). Let g(l) be the third derivative of -l**4\/24 - 2*l**3\/3 - 790*l**2. What is g(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(931) - (-2 + (sqrt(931)*-1 - sqrt(931))) - sqrt(931)) + -2*(-1 + sqrt(931)) - ((sqrt(931) - (-1*sqrt(931) + -2)) + -5 + sqrt(931) + 0))**2.\nAnswer: -462*sqrt(19) + 8500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, g: 7}. What is prob of picking 2 d and 2 g?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1437636832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -26)\/(-3)*-4. Suppose 4*b + r = 6*b. Let m = b - 5. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (-10)\/15*-6. Let j = z + 14. Calculate the remainder when 7 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a + 3. Let k be (0\/2)\/(20 + -21). Let f be y(k). Suppose j = o + 4, -5 = -f*o - 2. Solve 9 = 2*u - 3*i - 4, -5*u - j*i = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -562 + 571. Solve 4*x = -9 + c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 25*q - 1540. Find a, given that -83*a**3 - 27*a**3 + 12 - 112*a + 27*a - 5*a**5 + q*a**2 + 8 + 40*a**4 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2852, 3001, 3150, 3299, 3448, 3597?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 3*w**4\/32 + 117*w**3\/2 - 1413*w**2\/4 + 708*w - 6061. Factor s(v).\nAnswer: 3*(v - 2)**2*(v + 472)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-252)\/(-147) - (-777)\/147. Solve 49 = -42*s + c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 402792204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:57 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149.049 - 149. Let a = q - -0.151. What is the closest to -1\/4 in -4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + p + 183, 0 = 2*i - 2*p - 241 + 55. Suppose -2*v = -7*v + i. Suppose -4*l + x = -51, 2*x = l - 3*l + v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3216405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 38417*t + 115239. What is y(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.18. Let q = -0.6 + 0.2. Which is the nearest to t? (a) 0.3 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.351463 rounded to one dp?\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(-12)\/18. Let b be 2*((-30)\/(-4))\/3. Differentiate x + 2 - 1 + 2*g - b with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 40. Let n = 106.3 - p. Round n to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/21 and 2\/469?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1661.93?\nAnswer: -1665.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 64. Solve -8 - 1 = -3*d + u*y, y = -4*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/81 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 135 = -2*t - 2*t, 0 = 4*h + 2*t - 180. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9911 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.07348.\nAnswer: 0.3674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, 23, 334, 841, 1544, 2443, 3538?\n\"Answer: 98*w**2 - 179*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230543 (base 7) in base 14?\nAnswer: -10d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3*d**4 - 3*d**4 + 4*d**5) + (3*d**3 + 2*d**2 - 2*d**2)*(1 - 1 + d**2).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*d = -5, -47 = 5*i - 10*i + 3*d. Suppose 0 = -3*a + i*a - 932. Suppose 2*l = 2*y - 154, 0*l + a = 3*y - 4*l. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.2 (b) 100349 (c) 5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {u: 1, m: 1, j: 1, n: 1, d: 2, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**4\/z)\/z)\/(((z\/z**(-5)*z)\/z*z)\/z*z))**38\/((z\/z**1)**(9\/7))**1 assuming z is positive.\nAnswer: z**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -d - 0*d + 34, 0 = -4*d - 3*a + 153. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 34 - (-1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, o: 4, m: 6}. Give prob of picking 1 f and 1 o.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*g = -488, -3*i - 5*g + 292 = -3*g. Suppose -8*j = -11*j + i. What is the highest common factor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.113 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 11*v**3 + 0*v**3 - 7*v**2 - v**3.\nAnswer: -11*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 - 18 = 0. Suppose -3*o + 72 = -y*s, -3*s + 52 = 2*o - 7*s. Calculate the least common multiple of o and 74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 23. Let m(j) = j**3 - j**2 - j + 14. Let d be m(0). Let x = d - 5. Solve -k + u = 4*s, s + 2*s = -3*k + x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328\/(-2542)*(5\/2)\/5\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240013 (base 5) in base 10?\nAnswer: -8758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385499710?\nAnswer: 2, 5, 38549971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 519399919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 = -5*f, -32 = -2*f + 4*d - 12. Solve 0*z - z + 4 = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 5 - (3 + sqrt(11))*2.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -445 = -446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10e (base 15) to base 13.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (14 - (-88 + 34)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8155 + 2*y**2 + 8155. Let k(f) be the first derivative of 0*f**2 - 18 + 80\/3*f**3 + 0*f. Give k(s(i)).\nAnswer: 320*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294 - 296. Let v(j) = 2*j**2 - 4*j**2 - j + 150*j**3 - 144*j**3 + j. Let q(u) = 13*u**3 - 5*u**2. Determine d*q(r) + 5*v(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84379 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 470\/(-3) + 4\/6. Let y = i + 225. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-27)\/30*(-10)\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = -9. Let u(z) = z**3 + 5*z**2 + 4*z. Let p be u(h). Suppose -x - p*k + 51 = -3*k, -2*x - 4*k + 96 = 0. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quuzzqjqzqzjjuqhqq. What is prob of sequence uzj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258520 = -4939*s - 3083*s + 2402*s for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -0.2, 1.5, -1486?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 8, -0.2, -0.8561651?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28533 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290122855 divided by 1.\nAnswer: -290122855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + 5*(-1507)\/(-660)*8. What is the greatest common divisor of k and 420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -830*q**3*r**3*u**2 - 2*q**3*r*u - q**3*r - 85*q**2*r**2 + 1122*q**2*u - 10188*q*r**3*u**2 - 2*q*r**3 - 18*r**2*u wrt u.\nAnswer: -1660*q**3*r**3 - 20376*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -11*z**4\/12 - 2*z. Let i(b) = 2*b. Calculate d(i(s)).\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 18. Suppose 14 = s + 3. Is h(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 + 17448*v**4 - 52350*v**3 + 52352*v**2 - 17451*v = 0. What is v?\nAnswer: -17451, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 10*c - 11*c**3 + 3*c**3 + 6 + 6*c**2. Let p(j) = 15*j**3 - 11*j**2 - 21*j - 11. Suppose -7*u - u + 627 = 49*u. Determine u*v(n) + 6*p(n).\nAnswer: 2*n**3 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 6158299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyb when three letters picked without replacement from {f: 2, q: 1, b: 1, r: 1, z: 1, y: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 + 85 - 8492*j - 2*j**5 - 620*j**4 - 37820*j**2 - 85 - 10113*j - 19830*j**3 = 0?\nAnswer: -61, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 306, 633, 1026, 1521, 2154?\n\"Answer: 6*f**3 - 3*f**2 + 294*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20693 and 67.\nAnswer: 20760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*l + 6, -20*l - 3 = -21*l + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14455805, 28911629, 43367453?\nAnswer: 57823277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 smaller than 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 525*y - 1. Let w be r(-3). Let q(z) = -159*z + 1120. Let v be q(-11). Let d = v + w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4545.758 minus 59935?\nAnswer: -55389.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/q**5)\/q)\/(q\/(q*q**(-1))))**(-33) assuming q is positive.\nAnswer: q**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f + 157. Let j be n(-14). Suppose s + 2*s = 0. Suppose s*g + 28 = -2*g. Which is greater: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -288a1?\nAnswer: -288a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttutuutuuutututtutut. Give prob of picking 2 u.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-33) - 128\/(-22). Let q(p) = -p**2 + 3*p + 2. Let i be q(f). Let d = i - -28. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 61 = 3*a, k - 102 = -5*a + 4*k. Is a greater than or equal to -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 9 = 5*w. Let a be 28\/10 + w\/(-25). Let g(d) be the first derivative of -2*d**2 + 3*d - 1885. Determine g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v*v**(1\/2))\/v))*v*v*v**(7\/5) assuming v is positive.\nAnswer: v**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.036 + 8.964. Let l = -12 - -21. Let r = l + -11. Which is the second smallest value? (a) f (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18. Suppose n = 4*w - 0*w. Let z be (-10)\/(-5) + (w - -2). Solve 4*q - 3*q = z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grziryb. Give prob of sequence gizr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)\/v**(-10))**(-8\/9)*v\/(v\/(v*v*(v\/v**(-1\/5))\/v))*v*v\/v**(-3\/8)*v**5*v\/(v*((v\/v**(-1\/12))\/v*v*v)\/v) assuming v is positive.\nAnswer: v**(-463\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*d + 1 = 45, -4*t + 9 = -3*d. Let m be t*(-1 - (-15)\/10). Solve -m*x = -5*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.007 from 295.\nAnswer: 294.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 28.608?\nAnswer: -57.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*d + 23*d - 53*d)*(2 + 0 + 2)*(1 + 3 - 6)*(-2*d + 2*d - 4*d) to a*d + x + o*d**2 and give o.\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*v. Suppose -q - 3817 = -v*y, 2*y - 2550 = -4*q + 2*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*22986.8\nAnswer: -91947.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -10*t + 5*t - 6, 24 = -5*j + 2*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:21 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:33 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 30*p - 2 + 1 - 2. Let c be j(5). List the prime factors of c\/12 + (-1)\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580 divided by -790?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2143 - -2138 - -13*(-11)\/(-29).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120.1 - 119.8. Let t be -1*(2\/3 + -1)*-321. Is t < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2 + 23. Let i(q) be the second derivative of -q**3\/6 + q**2 - q. Is 3 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u - 45. Let j = 1 - -9. Let z = j - -33. Calculate the remainder when z is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14069 - f**3 + 14069.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10069 is divided by 959.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9036963066561 less than 3?\nAnswer: -6.9036963066561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7566533 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28492843 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 25*s**3 - 11*s**2 + 8*s - 7. Let a be w(5). Let l = -46187\/16 + a. Let v = -27\/37 - -3489\/370. Calculate the common denominator of v and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 + 51 = -3*t, -5*t - 3*o = 68. Let r = t + 15. Let n(z) = -15*z + r*z**2 + 36*z - 3 - 23*z. Give n(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-67)\/(-134))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g + 12*g - 10*g - 4 + 2. Let k = -7 + 14. Let d be m(k). Calculate the greatest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.17 (c) 45 (d) -4 (e) 43 (f) 2 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (4 + 33 + -50)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 <= 874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1775 and 187\/9300.\nAnswer: 660300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1910912 and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y. Let b be w(0). Suppose -2*x = -b + 2. Let u be 7\/60 - (-1)\/(-4). Is u greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139.294 months in years?\nAnswer: 428.2745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 4*t**2 - 2*t + 6. Let n = -17 + 13. What is the units digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1 = 3*p + 10, -5*t - 9427 = 6*p - 9410 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*a = 2060 + 390 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 210.088 millennia?\nAnswer: 2100.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/140 - (-68184)\/(-2520)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19124 and 374271023?\nAnswer: 4781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471*w**5 - w**4 + 148*w**2 + 4*w - 97393?\nAnswer: 9420*w**3 - 12*w**2 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)\/((-7)\/(-28) + 0). Solve 2 = -g*z - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*k - 3610 = 25737 - 983 - 559 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 4*f + 45. Calculate w(-4).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 19.919689\nAnswer: 5.9759067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -4, 100, -3 in descending order.\nAnswer: 100, 9, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4928 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = o, 0 = 3*o - 5*j + 4 - 3. Solve 5*g = o*n - 21 - 4, -n + 5*g + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, s: 3, d: 3, g: 1}. What is prob of picking 1 s, 2 o, and 1 d?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 minutes after 11:02 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/3 + 14*q**2\/3 - 11*q = 0.\nAnswer: 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 348\/(-120))\/(3 - (-90)\/(-25))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*1)**2*-2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j**4 + 48741*j**3 - 273321*j**2 + 322299*j + 175770 = 0 for j.\nAnswer: -3255, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(17\/7)\/o)\/o)\/(o\/(o*o\/((o**(-18)*o*o)\/o*o*o*o))))**5 assuming o is positive.\nAnswer: o**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 91, 228, 433, 712, 1071?\n\"Answer: r**3 + 25*r**2 - 7*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 49 = -7. Suppose 4*p + 3*b = 0, 0 = -h*b + 3*b. Suppose 12*k - 14*k + 140 = p. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7 - 38*y + 40*y + 0 to v*y + f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apaafzppamcafpfff. Give prob of sequence fmc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51657974 to the nearest integer?\nAnswer: 7187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24145 + 24144.3. What is the smallest value in -4, -1\/3, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 426 and 87.\nAnswer: 12354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/7 + 128*j**2\/7 + 3672*j\/7 - 256608\/7 = 0?\nAnswer: -44, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**3\/5 - 4757102*t**2\/5 + 4043564*t - 4757136\/5 = 0. What is t?\nAnswer: -594642, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -34 + (17 - -19) + -26.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 126. Let r(u) = 2. Determine m(i) + 2*r(i).\nAnswer: 2*i + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -384, -439?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -183581, 1 in decreasing order.\nAnswer: 14, 1, -183581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 34*s - s**2 - 2*s**2 - 21*s. Let v be o(-13). Let y be v\/(-2) + (0 - 4). Let q(z) = -3*z - 2. Calculate q(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + 1 + sqrt(704) + 0 + (sqrt(704) + 2)*-5 + 5)*-5)**2.\nAnswer: 460800*sqrt(11) + 10195200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 6. Let v be l(3). Let p be (v\/6)\/(1\/2). Solve 4*u - 4 = -3*s - p, -u + 2*s = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + k - 3*k + 130, 2*k = r - 25. Suppose 0 = 2*l + 3 - r. Calculate the least common multiple of 16 and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -21, -68, -145, -258, -413?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2293976 - 6419.997.\nAnswer: -6419.7676024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43623\/567 + (-2)\/9. Let i = 77 - d. Which is the second biggest value? (a) i (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441112 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11103 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + -3 + 31. What is the units digit of 2\/(-7) - (-428)\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w**3 - 105*w**3 + 1202*w**3 - 210*w**3 - 187*w**3.\nAnswer: 739*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11907, -23815, -35723, -47631, -59539?\n\"Answer: -11908*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 494*z - 8568.\nAnswer: -(z + 18)*(z + 476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2. Let a(u) = -85535*u. Determine s(a(f)).\nAnswer: 14632472450*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120875 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1571415, 1572115, 1572815, 1573515, 1574215?\n\"Answer: 700*u + 1570715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/62157224 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101671614 - -101671593.9999519. Let z = -8.4 - 11.6. Let m = t - z. What is m rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261384.\nAnswer: 2, 29, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 5. Suppose -4*c + 330 = -2*k, -3*c + c - 690 = 4*k. Let p be ((-2)\/(-2))\/(3\/k). Let t be p\/9 + 3\/9. Determine l(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.1 less than 5?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 4061*u - 32411. What is j(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 24. Calculate c(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = -2*m - 1, 4*m + 0*m + 3*m - 59 = 3*m - 59*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -2\/3, -1.8, -0.2, -1\/3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10 and 21\/13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341564480 to the power of 1\/2, to the nearest integer?\nAnswer: 36627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 477.36 months?\nAnswer: 3.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyybyybwbw. What is prob of picking 1 y and 3 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -f + 2*f - 23, 4*d + 8 = -4*f. Suppose 8*h = f*h + 125. Let k(p) = p**3 + 10*p**2 + 7*p + 7. What is the remainder when k(-5) is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d. Let x(f) = 2 + 187*f + 186*f - 2 - 375*f - 6. Calculate s(x(r)).\nAnswer: -26*r - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8400, 8410, 8420, 8430, 8440?\nAnswer: 8450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 9650*i + 4656125 = 0.\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -77898.2 and 6004788.7.\nAnswer: 5926890.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:19 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217405320 by -440.\nAnswer: -494103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*l + l = 14, -3*q + 10 = -l. Solve -i + q*i - 5*z = 2, 0 = 2*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:29 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 162, 311, 472, 651, 854, 1087, 1356?\n\"Answer: o**3 + 142*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 97852.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 1. Let r be w(1). Suppose 4*k + 3*l + 8 = 106, 0 = -r*k - l + 71. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3687.734226 + -3711.13422859. Let c = -23.4 - f. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 + 25*j + 151 - 44 to the form r + x*j and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26117654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 814959555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - 28. Let h = 44.2 + p. What is the closest to 0.2 in -5, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z - u - 54, -3*u - 32 = 2*z. Is -14 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (3 + -1 - 1). Let b = 2 + r. Solve -3*j = -6*j + 5*u, -j - b*u + 17 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 12964, 4, -5 in ascending order.\nAnswer: -5, 4, 15, 12964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(5\/6)\/x*x)\/x)\/x)\/(x\/(x**(-1\/6)\/x*x)*x) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 + 8*u + 6. Let p be j(-7). Let d(t) = 113*t**2 - t - 1. Is d(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 + 7.8. Sort 2\/7, -8, u, 0.5 in descending order.\nAnswer: u, 0.5, 2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 3346.5092.\nAnswer: 3346.4192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 8*b + 2. Let k be m(8). Suppose -4*c + 144 = -j, -j - j - 78 = -k*c. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13352 and 2541887?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4828*y + 91722. Determine n(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -211 - -1?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097490451.\nAnswer: 53, 20707367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d**3 - 2*d)*(0 + 0 - 3) + 256090*d**3 - 20*d - 256229*d**3 + 183 + 20*d to f*d + b*d**2 + c*d**3 + v and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*n**2 - 750*n**2 + 337*n**2 - 516*n**2 - 719*n**2.\nAnswer: -1304*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 511*b - 34373. Give o(-58).\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*l - i, -3*l + 7*i = 5*i + 7. Let b = -39 + 15. Let w = -14 - b. Calculate the lowest common multiple of w and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 15*q - 23. Which is smaller: 4\/395 or q?\nAnswer: 4\/395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33*(-4)\/(48\/116) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.007.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7280069 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1600592 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -17, -31, -47, -65?\n\"Answer: -i**2 - 9*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 952471 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*y + 9 = 0, y + 2 = m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353202599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 457062295 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1704, 3423, 5142, 6861, 8580?\n\"Answer: 1719*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -835*b**3 + 418*b**3 + 2*b**2 + 427*b**3 - b in the form z + m*b + s*b**2 + n*b**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -2\/507, -0.4, -2, -1?\nAnswer: -2\/507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 55645330, -4 in ascending order.\nAnswer: -4, -3, 55645330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005428 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = 34*x + 384 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 44 + -5 + -17 + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 - 4*p**4 + p**4 + 10*p + 3*p**2 - 22*p + p**5 + 10*p = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/9 - 10*g\/3 - 28\/9 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - (-5 + 10 + -9 - 86)) - -10?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16a902 (base 14) to base 3\nAnswer: 1111112000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132632 and 1683752?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37806 (base 11) in base 16?\nAnswer: d3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/11, -24, -1\/4 in ascending order.\nAnswer: -24, -1\/4, -0.2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/((j\/(j**14*j*j))\/j)))**25\/(j**(-23)\/j*j**(-5)) assuming j is positive.\nAnswer: j**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 54*j + 50*j - 104*j + 3*j**2 + 12. Let v(c) = 2*c. Determine v(o(s)).\nAnswer: 6*s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3162 and -179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6de (base 16) to base 6.\nAnswer: -12050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 83, 300, 659, 1166, 1827, 2648, 3635?\n\"Answer: q**3 + 65*q**2 + 15*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 14836959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545693 is divided by 127.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 + 2*n**3 - 2*n**3 + (0*n - 38*n**2 + 310 + 0*n - 306)*(45*n + n - 11*n) in the form m + d*n**3 + i*n**2 + s*n and give d.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5918.99997204 - 5919. Round h to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 5*v**2 + 8*v + 1. What is w(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 407824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80350 or 2?\nAnswer: 80350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75.9 + 76.2. What is the smallest value in g, -0.2, 41, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2706396 divided by -3.\nAnswer: -902132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 + 69*y**4 + 1591*y**3 + 12675*y**2 + 8236*y - 22572 = 0. Calculate y.\nAnswer: -27, -22, -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + 6*x + 3. Let i be n(-5). Let w = -25926 + 25929. Which is the fourth smallest value? (a) 12 (b) i (c) -1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 210 = -2*x, -2*z - z + 164 = 5*x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 11. Let s be t(-4). Solve -s*z + 2*h + h = -25, h + 10 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -89. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 11*g - 12. Let k be q(10). Let l be ((-2)\/4)\/((-1)\/12). Let y be k\/3 + 16\/l. Solve -5*p - 3*a = -2, -p = 2*p + a + y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 672 = 21*v. Let r(o) be the first derivative of -8\/11*o**2 + 8\/11*o - 2\/33*o**3 - 6\/55*o**5 + v + 4\/11*o**4. Suppose r(d) = 0. Calculate d.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -1947, 1\/3, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281 - 2224*c**3 + 2263*c**3 - 103.\nAnswer: 39*c**3 - 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17932541 is divided by 13176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*o + 21*o = -11*o - 217*o - 7866 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12319*a**5 - 24935*a**2 wrt a?\nAnswer: 739140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 807 and 33?\nAnswer: 8877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 153*t + 8 - 156*t + t**2 + 3 - 3. Give z(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.01, 0.9, -0.5, -0.01?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1271.7*60.\nAnswer: -76302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5766, 5769, 5774, 5781, 5790, 5801?\n\"Answer: t**2 + 5765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = 0, 58*h = -6*o + 53*h + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -245*p**6\/33 - 504*p**5\/55 + 10000*p**4\/11 - 3488*p**3\/3 + 6096*p**2\/11 - 1280*p\/11 - 2012. Let i(m) = 0. What is m?\nAnswer: -10, 2\/7, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 79. Let a be h(-21). What is the greatest common divisor of a and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3026730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437048 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -4, 3.\nAnswer: -7, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1. Let s(k) = k. Let p be (-8)\/(-6)*(-9 + 12). Let y(x) = 24*x - 95. Let z be y(p). Calculate z*t(i) - 2*s(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33723698 smaller than 33723685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3457 and 9.\nAnswer: 31113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 43948.\nAnswer: 131844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxddxxxx. What is prob of picking 4 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/6 - 34*n**4\/3 - 344*n**3\/3 + 8603*n**2\/3 + 689*n\/6 - 8569\/3 = 0 for n.\nAnswer: -41, -38, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 198*o**2 - 1365*o - 16. Give r(7).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1177404 and 53\/121272612?\nAnswer: 121272612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 - 174 - (0 + 82).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -12*p**2\/7 - 110007*p\/7 + 7312734\/7 = 0.\nAnswer: -36933\/4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 936541464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -221000041 (base 5) in base 10?\nAnswer: -953146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.6. Let f = -8152 - -16299\/2. Which is the second biggest value? (a) -3\/5 (b) f (c) -3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 0 - (-1 + -6). Suppose j*l = 789 + 679. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 80*t - 129. Let x(y) = -72*y + 132. Let o(s) = 7*g(s) + 8*x(s). Give o(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -47. Let v be 6*((-300)\/(-72))\/25. Sort -92, d, v.\nAnswer: -92, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -878366*v**3 - v**2 - v + 1. Let i be (-2)\/(-4 + 2 - -4). Let b be r(i). Suppose 3*d = -11228367 + b. What is d rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75968552?\nAnswer: 2, 11, 863279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/3 + 3435838*p\/3 + 2951245690561\/3 = 0. Calculate p.\nAnswer: -1717919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 6*l**2 + 4*l - 2. Let p(b) = b**2 - b. Let k(d) = -d + 6. Let u be k(0). Let o = 190 + -189. What is o*w(f) + u*p(f)?\nAnswer: -f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 431108.4 months in decades?\nAnswer: 3592.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 0*s = x + 14*s - s + 70, -110*s = -2*x + 28 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(30*f - 28*f - 2*f**3 + f**3).\nAnswer: -2*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 21, 0, -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 16530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(2\/5))\/m*m*((m\/m**(6\/7))\/m)\/m*m)**27*(m**(4\/3)\/(m\/m**(-4\/7)))\/(m\/(m*m\/(m*m\/(m**2\/m))*m)*m**3) assuming m is positive.\nAnswer: m**(4139\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20472 + -7238. List the prime factors of d.\nAnswer: 2, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10212?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 146 + 6 = 2*q, 3*q + j = 239. Let x = -0.06 + -0.04. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-2))))**(-32)\/(v\/v**(-2\/5)*v*v**(-3\/5)) assuming v is positive.\nAnswer: v**(-489\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.484 plus -591?\nAnswer: -905.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xjjqjjjjxpxqjxpjqxx.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -5, -3, 24, 1, -543 in ascending order.\nAnswer: -543, -5, -3, -1, 1, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235*a**3*f**3 - 7*a**3 - f + 2 wrt f.\nAnswer: 1410*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -9, 18, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, r: 8, o: 1, i: 4}. Give prob of picking 1 o and 1 i.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -11\/2, 0.05, -3\/28?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57690 divided by -11538?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7362*t - 51794. Determine o(-7).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544880447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 6. Suppose n*q = -2*q - 10. Which is smaller: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/7 + 184*a\/7 - 6700\/7 = 0.\nAnswer: 50, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 35*b = 30*b + 12, a = b - 4. Suppose -5*l = -2*l - 2*l. Sort 5, a, l, -1.\nAnswer: a, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/5))**(-4\/25)\/(l**9*l**(-5)) assuming l is positive.\nAnswer: l**(-524\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -67*s + 246. Let n(g) = 25*g - 82. Give -3*b(c) - 8*n(c).\nAnswer: c - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5672212 nanometers to meters.\nAnswer: 0.0000000005672212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + 2.92. Let s = y + -3.000144. Round s to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izkk when four letters picked without replacement from {k: 7, z: 1, y: 2, v: 5, i: 1}.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152722 divided by -4019.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 2*w + 1. Let h be v(-2). Let o = 21 - h. Suppose -5*s + 6*b - 2*b - 25 = 0, 4*b - 20 = 0. Put s, o, 6 in decreasing order.\nAnswer: 6, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233?\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -36 + 16. Let w(c) = 3*c**3 + 29*c**2 + 38*c - 7. Let n be w(-8). Solve -n*v - d = 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 n when three letters picked without replacement from nnvnnnnnnvnbvvnvvnnv?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + 24*i**2 - 19. Give x(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l**2 - 3*l)*(-3*l + 3*l - l**3) + (7 + 8*l**3 - 7)*(2*l**2 + l - l).\nAnswer: 18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/26631 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495807245 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 252509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 287*v - 388. Is c(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 23*i - 55. What is z(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 82. Let i be v(5). Let n = -90 + i. Solve -3*p + 5*r = -26, n*r + r + 14 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -824*x - 115. Let b(q) = 8*q - 20. Let s be b(2). Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 16*f**2 - 18*f - 14. Let k be i(15). Let b = -55 - k. What is the third derivative of 4*z**b + 3*z**4 + 4*z**2 + 12*z**2 - z**2 wrt z?\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4 + (sqrt(242) - (sqrt(242) - (sqrt(242) + 0) - sqrt(242))))**2*-6)*3.\nAnswer: -17724 - 3168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11915246\/5 greater than or equal to -2383048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 10*f - 5 = -i, -2*f = -4*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34015219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/40 and 93\/8164190?\nAnswer: 32656760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88603151 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13\/6160?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 137. What is the remainder when 18 is divided by (-11)\/(-2)*m\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2 - (0 + 0\/(-1))). Suppose u*d + 10 = 5*z, 0 = -3*d + d + 10. Suppose -z*x = -x - 4071. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxoedooodooxoo. What is prob of sequence dx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 1. Let b = v - 15. Let r(c) = -c**2 - 12*c - 2. What is the units digit of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z**2 + 295*z + 105 = 0. What is z?\nAnswer: -7, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**3 - 3*a**2 + 9*a - 4. Let o(y) = -4*y**3 + 4*y**2 - 9*y + 4. Let l(s) = -6*o(s) - 5*v(s). Give l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5939 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - b + 12006, 0 = -17*b + 20*b. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -467045*p**4 - 38*p**2 + 2 + 97*p**2 + 147*p**2 + 460823*p**4 - 2*p wrt p.\nAnswer: -149328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - q - q + (q + 1 - 1)*(-2 + 4 + 0))*(-3*q**2 - q**2 + q**2) to v*q + j*q**3 + n + k*q**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219\/371 + 1\/53. Let y = 24 - 23. Put d, -0.2, y, -0.1 in ascending order.\nAnswer: d, -0.2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i + 3*o - 37 - 26 - 5 - 8 = 0, 3*i + 5*o = -164 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + 6*s - 8. Let b be o(4). Solve j + 3*f = -2*f - 8, b = -j + f - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**5\/5 - 17*k**4\/4 - 16*k**3\/3 - k**2\/2 + 31. Find the third derivative of s(q) wrt q.\nAnswer: -24*q - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15696184*u**4 - 1686*u**2 + 1819*u wrt u?\nAnswer: -376708416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -120*u - 43. Let z be g(5). Let l = z - -315. Let j = l + 969. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 8\/385 (c) -2\/33 (d) 4\/53 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8317*a*f**3 - 8*a*f**2 - 75*a*f + 284864713*a wrt f?\nAnswer: -24951*a*f**2 - 16*a*f - 75*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2337 or 0.6?\nAnswer: -2337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x**2 + 175*x - 6. Determine f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -198, -388, -570, -738, -886, -1008, -1098, -1150?\n\"Answer: t**3 - 2*t**2 - 191*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59 (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b**11\/b)\/b*b*b**(-4)*b assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.156 - 11.244. Let a = q + 11.3863. Round a to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 10*c + 20. Let u be n(8). Suppose -u*j + 5*j = 8. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xddd when four letters picked without replacement from dzdzxzzzxaddzdxdzda.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -559*d - 8480. Give a(-15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 13*x**2 + 2*x + 10. Let o = -101 + 111. What is the tens digit of a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/48*(2112 - 2096)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/j**(5\/11)*j)\/j)\/((j*(j*j**(-5)*j)\/j)\/j))**(2\/21) assuming j is positive.\nAnswer: j**(48\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -17*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515 + -290. Is 45 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.03 + 0.03. Let y = d + 7.9. Which is the closest to 0? (a) -0.4 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946040 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*j - 5585*j - 7193*j.\nAnswer: -13013*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -21 - -6 - -16) + 9 + 3 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = b + 2*b + 5, 5*j - 5 = 4*b. Let d be -1*(j + (0 - 2)). Put d, -4, 2 in decreasing order.\nAnswer: 2, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733523 is divided by 13868?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42539, -44359, -47393, -51641, -57103?\nAnswer: -63779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18601\/27 - -689. Sort -1, g, 1\/6 in increasing order.\nAnswer: -1, g, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 15. Let k(p) = 4*p + 11. What is 5*k(r) - 6*m(r)?\nAnswer: 8*r - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = 30. Let u = 8 - d. Let b = 1123983 - 1123974. Solve 3*s + 2 = i + 3, -u*i + b = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 7*a + 18. Suppose -20 = -6*o + o - 5*t, -5*t + 20 = 2*o. Suppose o = -3*f + 4*b - 0 - 15, -2*f + 2*b = 10. What is the tens digit of u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154255 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.4 rounded to zero dps?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61377)\/14970*-4*(5 + -10)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23366720 rounded to the nearest one hundred thousand?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.499 rounded to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265 - -519. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532 (base 8) to base 4\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o. Suppose 7 = -4*c + d, o*c + 3*c = d - 6. List the prime factors of 1 + (2 - -2) + c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 13885186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*x*z + f**2*x + 2*f**2 - 60*f*x + 63*x*z + 3*z**2 wrt z.\nAnswer: -f**2*x + 63*x + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b + 10. Suppose -2*l = -18 + 14. Suppose -z - 2*q - 32 = -4*z, l*z - 12 = -q. What is n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/22719135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*h - 28*h + 17*h)*(h + 2 - 3 + 0*h)*(-h**2 - 3*h**2 + 3*h**2).\nAnswer: -26*h**4 + 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggagzkazgkg. Give prob of sequence kgg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 2. Let p(r) = -159296*r. Calculate p(c(n)).\nAnswer: 318592*n**2 + 318592","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 60.7 + -60.7. What is the closest to h in 0.3, -79, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164532 less than 0.110287?\nAnswer: -164531.889713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 9*k + 10. Let x(u) = u - 1. Let m be x(8). Let r be c(m). Suppose 3*l - 3*h - r = 0, l - 5*h - 42 = -l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 4*d**2 - 2*d**2)*(36 - 36 + 18*d)*(3 - 4 + 3).\nAnswer: -288*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from yyyyyzyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -58*m**2 - 4121*m - 237. Calculate i(-71).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1462*h**3 + 5*h**2 + 8*h. Let t(n) = n**3 - n**2 - 2*n. Give i(s) + 4*t(s).\nAnswer: 1466*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 2*x - 1. Let f(q) = 5*q**2 - 1. Let a(d) = 11*d**2 - 2. Let s(g) = -6*a(g) + 13*f(g). Determine s(b) + u(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.55, 2\/5, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 137, -3, -18.\nAnswer: -18, -14, -3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 72\/(-20)*(-40)\/(-3). Let o = 668 + -938. Let d = v - o. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 12. Is (2 - l)*47\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -872*q - 7840. What is h(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**3 - h**2\/2 - 9*h - 19. What is the tens digit of f(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 21*w - 10. Give h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h - 11. Give z(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -7 + 112. Suppose 0 = 5*v - 2*v - z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59612244 is divided by 1525?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10197 (base 10) to base 3.\nAnswer: -111222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1050.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:08 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -0.3. Which is the closest to 3? (a) q (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1358\/5, 3, -3 in descending order.\nAnswer: 1358\/5, 3, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 51 + 3 - 3*n + 95.\nAnswer: -3*n + 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 33 = -3*q + 10*h, -q + 24 = -4*h. Calculate the lowest common multiple of 174 and q.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*t = 2, -4*c - 4 = 1860*t - 1864*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 4)\/2*-4. Suppose -k + u = k. Suppose 22 = b - 5*j, -k*b + 26 = b - 5*j. Solve -3*n + 4 = b*l + 3*l, n = -3*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2. Let t(n) = -51*n + 6. Let a(f) = -25*f + 3. Let c(z) = -9*a(z) + 4*t(z). Determine c(y(r)).\nAnswer: -63*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 + 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1 - -1) + -2)\/((-5)\/(-10)). Let o be ((-20)\/(-14))\/(104\/(-28) - h). Let i = 87 - 177\/2. Put i, o, -0.5, 0.2 in descending order.\nAnswer: o, 0.2, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4100077723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 85601?\nAnswer: 85600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 58183*l**2 - 344*l + 1778. Is d(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let g be (-214)\/963 - (-3550)\/18. Suppose -l - g = -3*u, -4*u = -6*u - 4*l + 136. Calculate the greatest common factor of q and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 44 - 17*k**2 + 5*k**3 - 20*k - 8*k**2 - 6*k**3 + 2*k**2. Let z be f(-22). Solve 3*j + 5*c + 25 = 0, z = -2*j + j - c - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 8*j - 7. Let d be a(7). Suppose -6 = -2*n - d*n. Solve -3*y = 2*z - 4 - 1, -n*y = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -958, -3223, -7632, -14899, -25738?\nAnswer: -40863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -47. What is the highest common factor of 138 and k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*g**3*p*s + g**3*s*t - 9*g**2*s*t - 3*g*p*t - 2*p*s - 2*p wrt p.\nAnswer: 29*g**3*s - 3*g*t - 2*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7973 + 6964. Do q and -2017\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 3:49 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u. Let f(p) = 122027*p. Calculate f(z(i)).\nAnswer: -244054*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 73785 and -0.0438142472.\nAnswer: 73784.9561857528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122041 (base 5) in base 14?\nAnswer: 27c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**7*q**(-10))**(-18))**(4\/9))**(-17) assuming q is positive.\nAnswer: q**(-2176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22680?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/42 and 61\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 38. Determine h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1704, -393, 922, 2241, 3564, 4891?\nAnswer: 6222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 542381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5090 divided by 1018\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*v + 40, -7 = 5*n + 2*v - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2\/69, -6, -2\/3, 2\/59 in descending order.\nAnswer: 2\/59, -2\/69, -2\/3, -6, -30","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-16)\/(-120)). Suppose o*x - 1430 = 195. Calculate the greatest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2. Let z(p) = 149*p**2 - 294*p**2 + 127*p**2. What is x(z(d))?\nAnswer: -1944*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1466 or 1182?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 + 11*z - 8. Give u(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 at least as big as 2669\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 25946\nAnswer: -155676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (6 + -16 + 2) - (-16 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 + 2\/5. Let y(h) = -4*h + 3. Let j be y(-3). Determine w so that -j*w**2 + w**3 - 3*w**p - 4*w + 9*w**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 511 = -4*i + 3*i, -i = 2*a - 205. Let z(o) = -o**3 - 4*o**2 - 5*o + 4. Let g be z(-6). Let m = a + g. Is m a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -110, -233, -378, -551, -758, -1005?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/9)*v\/((v\/((v**(2\/19)*v)\/v))\/v*v)*(v*v**0*v)**(-47) assuming v is positive.\nAnswer: v**(-16018\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - -0.1. Let k = i + -5.9. Let m be (-8)\/20 + (-13)\/5. Sort -1\/4, k, m.\nAnswer: k, m, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 - 47*t**2 + 30*t + 128. Calculate v(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 183*g**2 + 180*g.\nAnswer: 3*g*(g + 1)*(g + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4, -5*y + 3*h + 8 = -58. Let a(z) = -z + 3. Let m(c) = -1. Let b(u) = -a(u) - 4*m(u). Let i(j) = 3*j + 4. Give y*b(t) - 3*i(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. What is the remainder when 30 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 1. Let d(x) = x. Determine -6*d(f) - 2*r(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31157?\nAnswer: 7, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -86.1 (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56642*w**4 + 459*w**2 - 51*w - 2?\nAnswer: 1359408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 271, 540, 809, 1078?\n\"Answer: 269*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*k**2 + 31*k + 115*k**2 - k in the form q + h*k + y*k**2 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38530 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 4*v + 5*p = 3, -5*p - 7 = v - 2*v. Find the first derivative of 3*j**2 - k*j**2 - 1 + 2*j**v wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f - 4*f + 3*f + (2 - 5 + 4)*(5*f + f + 59*f).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 516 = -2*j, 2*l + 3*j = 7*l - 645. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483 = -147*u + 7631 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w**2 - 19*w**2 + 7*w**2 + (65*w**2 - 90*w**2 + 87*w**2)*(2 + 5 - 4) to the form v*w**2 + u + t*w and give v.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/9 + 302*h**3\/9 + 3938*h**2\/9 - 4238*h\/9 = 0.\nAnswer: -13, 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than 2367.8403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -24. Suppose -2*j = z*t + 11, j + 7 + 6 = -5*t. Let u be ((-16)\/(-10))\/(j\/10). Solve -3*s = -7*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934 + 4646 + 5579 - l.\nAnswer: -l + 12159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*u + 6*u - 30*u + 4*u as o*u + m and give o.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 divided by -4?\nAnswer: -1431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -86 (b) -74 (c) -44797\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 + 5*o**3\/2 - 15*o**2\/2 - 5*o + 4 = 0. Calculate o.\nAnswer: -4, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 14, 18, 28, 44, 66, 94?\n\"Answer: 3*c**2 - 11*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39714.24 nanometers?\nAnswer: 0.00003971424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**3 + 6*y**2 - 11*y - 13. Let w(k) = -7*k**3 + 3*k**2 - 5*k - 6. Let r(z) = 6*n(z) - 13*w(z). Determine r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**8\/4200 + 3*v**7\/700 + v**6\/60 + 7*v**5\/300 - 2*v**3\/3 + 25*v - 40. Let k(l) be the third derivative of u(l). Factor k(a).\nAnswer: 2*a*(a + 1)**2*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*z + 203 + 74, 4*z + 5*n - 557 = 0. Let t = 185 - z. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/396*88)\/((-26)\/12)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*15\/20*2. Suppose -t*n - 2*r - 2*r = -189, -r - 126 = -2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -45*l - 3. Let o be k(-6). Suppose -31*f = -28*f - o. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.2. Let t = -182 - -180.97. Let d = t - -1.53. What is the smallest value in 4\/9, d, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2533 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185552208 divided by -87?\nAnswer: -2132784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 3*s + 6*c, -s - c + 3 = 0. Suppose h + s = 4*h. Calculate the remainder when 16 + (4 + -2)\/h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 + 1) - (6 - -15)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s + 1150 - 7*s - 1547 as f*s + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/2*-1*2. Suppose h*m + 208 = 638. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 72783616.\nAnswer: -5\/72783616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2\/5 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 5*s - 2 - 3*s)*(4*s**2 + s**2 - 4*s**2) + 9*s**3 - 50*s + 50*s to the form v + l*s**3 + y*s + w*s**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -970*m**4 + 8*m**3 - 410 wrt m.\nAnswer: -3880*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011 - -2333211330?\nAnswer: 2333222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.17 - 0.03. Let d = -1 - u. Which is the second smallest value? (a) d (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 315 - 315 + 2*k**2 + (3*k + 3*k - 4*k)*(2*k - k + k) + 0*k**2 - k**2 - k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*a = -12, -5*a - 4 = 2*t - 24. Let q(x) = t*x - 3*x + 4 + x. Let f be q(3). Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 690265*t**3 - 132683?\nAnswer: 2070795*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 4*d + 3*d + 21*d + 21*d - 49*d + (d + d - d)*(-4 + 0 + 2 + (-1 + 4 - 2)*(2 + 2 - 3) + 1 + 3 - 2 - 2 + 4 - 3 + 2 - 4 + 1).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (12 - 9) + -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**5\/80 + t**4\/32 + 2*t**2 + 20. Let r(j) be the second derivative of q(j). Solve r(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 55ccba2?\nAnswer: -55ccb9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 926 and 6477833.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*y - 4*c, 0 = -y + 4*c + c - 32. What is the remainder when 2\/8 + 81\/12 is divided by (-2)\/(-9) - 102\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 295*b + 1567 - 271 = 0. Let l(c) = -44*c + 172. Give l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110784185 and 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21*1*-1 - (-8 + 4). What is the nearest to t in -0.5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + 29\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 323 - 75. Suppose 5*z - 5*i + 1 + v = 0, 4*z = -4*i - 124. List the prime factors of (-3200)\/z + 2\/(-7).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 22. Calculate the lowest common multiple of i and 7\/(-28) + 41\/4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 104 = -4*w, w + 82 = -2*j + 5*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**3 + k**2 - 2*k + 3. List the prime factors of l(-3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328903329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*c*t**4 - c*t**3 - 2*c*t**2 + t**4 - 8708*t**3 - 2034918 wrt t.\nAnswer: 552*c*t - 6*c + 24*t - 52248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 25*s**2 + 569*s - 3030. What is w(7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*t + j, 0 = -4*t + 2*j - 191 + 193 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9764 - 9764. Which is smaller: o or -276\/25?\nAnswer: -276\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i**2 - i + 5. Is c(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of (-64)\/(-416) - (-2735266)\/78 - (-80)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241 and 17282833.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/7 - 12*o**3\/7 + 108*o\/7 - 162\/7 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3154432688?\nAnswer: 2, 11, 17, 62017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**3 + 194*a**2 - 268*a + 16 = 0.\nAnswer: 1\/16, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187940047 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 127984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.5965 tonnes in milligrams?\nAnswer: 74596500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 5*v - 1. Let k be p(-5). Let u(w) = 5*w**2. Let x be u(k). Suppose -x*t + 72 = -4*t. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 709 - 4*l - 709 + (2*l + 0*l - 4*l)*(1 + 3 - 3)*(-16 - 46 - 49) to n*l + d and give n.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**2 + 0*o**3 + 0 + 0*o**5 - 3\/10*o**6 + 1\/6*o**4 - o. Find the third derivative of r(n) wrt n.\nAnswer: -216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18994+-2.9225\nAnswer: 18991.0775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 3. Suppose 0 = 2*m + 5*n - 97, 4*m - 5*n = 93 + q. What is the remainder when 4 + (-2 - 1) + 135 is divided by m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3 + 3)*(3 - 1 - 1) + (120 - 312 - 449)*(2 + 1 + 4)*(n + 0*n + n).\nAnswer: -8973*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, s: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.116 weeks in nanoseconds?\nAnswer: 489353356800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 44 = -12. Suppose 3*n = 2*r, -5*n = r + h*r. Suppose -4*s = r, 4*y - 66 + 2 = 3*s. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1289083 - 707255. Let b be 1*1\/3 - d\/(-156). What is b rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 70 + 15*w + 49.\nAnswer: 15*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20*(1 + 0 - (-5)\/(-4)). Solve d - 18 = b*z, -18 = 4*d + d + 2*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*h*l**2 + 355*f + 1534*h*l**2 - 8*h*l - l**4 wrt l?\nAnswer: -2*f*h + 3068*h - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -10, 15, 45, 4, 2 in descending order.\nAnswer: 45, 15, 4, 2, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n - 240. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 13*w - 1. Let h be c(-13). Let n be (8 - 1) + h + -3. Solve n*z + 0*z + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 73 = -19. Calculate the highest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 7*f + 6*f - 11055. Calculate the remainder when f is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - 3*(-2)\/(-6) - 2. Suppose -d - p = -14. Find the second derivative of 5*k + 0*k - 9*k**d - 3*k - 3*k**5 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4 - 51\/(-68))*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-78)\/36)\/13*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 2, a: 1}. What is prob of sequence garr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -25*m**5 - 645*m**4 - 2549*m**3 - 423*m**2 + 3834*m - 1512 = 0.\nAnswer: -21, -4, -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -851 divided by 5\nAnswer: -851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*z = 40, -697*w + 696*w = -5*z + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d - 70. Let n be s(-8). Suppose 5*j - l = 2, j - 2*j - 4 = n*l. Solve -c + 5 - 8 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*f*q**3*u**2 - 9*f*q**3*u + 78*q**3*u**2 + q**3 - q**2*u**2 wrt f.\nAnswer: 22*q**3*u**2 - 9*q**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4361875 (base 9) to base 4.\nAnswer: 20330030222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1174.9906 - 1171. Let d = j + 0.0094. Which is the third biggest value? (a) 49 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (136\/(-10))\/(-6 + 444\/75) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -7. Let p = -0.82 - 98.18. Let o = -102 - p. Sort 2, o, t in increasing order.\nAnswer: t, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmi when three letters picked without replacement from yiqqvvqvqyqvqjm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -0.2, 1, 0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 28*d**2 + 12*d**2 + 0*d + 0*d + 20*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -71*z - 348. Let b be p(-5). Let d(n) = -n**3 + 6*n**2 + 3*n + 4. Determine d(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynnyyhyysndhsysyhs. What is prob of picking 2 y?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2 - 18*c + 5. Let w(m) = -30725*m**2 - 3*m - m + 30727*m**2 + 1. Let v(q) = -j(q) + 6*w(q). What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*n + 4)*(-4 - 2 + 5 + (-4 + 5 + 0)*(3 - 2 + 0) - 3 - 5 + 2) to the form o*n + x and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o + 1302 = 2082 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971772 less than 11971765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u**2 + u**2 + (-u**2 + 0 + 0)*(5 - 3 - 1) + 8*u**2 + 64 - 64)*(u**3 + 0*u**3 + 0*u**3).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*m - 5, -m + 15 - 31 = -2*r. Let u = -66 + 111. Calculate the highest common divisor of u and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3*j + 69757*d**3 + 1280520*d**2*j + 165*d**2 + d*j wrt j?\nAnswer: 2*d**3 + 1280520*d**2 + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -3*v. What is the third biggest value in 1.39, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 5912*n\/7 - 13440.\nAnswer: -2*(n - 2940)*(n - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 1851 (c) -3\/2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78.715086 or -1?\nAnswer: -78.715086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + 5 + 1 + -1 + 229 + -224.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -46*h - 6. Solve c - 21*c + 40 = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3044863 bigger than -3044541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4266 + 4264. Which is the closest to 0.3? (a) 2 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -0.09. Let q = t - 2.89. Sort 1\/6, 1, q in descending order.\nAnswer: 1, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 296, 988, 2330, 4538, 7828, 12416, 18518?\nAnswer: 26350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/24 - 125*s**4\/12 + 3893*s**3\/6 + 33*s**2 - 51*s. Differentiate j(t) wrt t.\nAnswer: -15*t**2 - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/54*(14 + -17).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/46 + 5396\/(-13064). Let d be 4\/(-3)*18\/(-16). What is the nearest to -2\/7 in -9\/8, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 21*z**2 - 108*z - 9. Let m = 8 - 10. Calculate the remainder when w(-13) is divided by (-2)\/((-2)\/(-30)*m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a464 - 1?\nAnswer: -7a465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45.8 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37642*n - 20460*n + 42173*n + 34978*n.\nAnswer: 94333*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 71 = 3*m, -5*m - 52*t + 51*t = -155. Suppose -2 = 5*z + 3. Let g = z - -12. What is the remainder when m is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0888012822 rounded to 3 dps?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*w**3 + 109*w - 54*w - 55*w.\nAnswer: -1372*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) -18 (d) 2\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 - (-10)\/25. Suppose -23 = -4*d - k, 3*k = -2*d - t*d - 1. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -7, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 2*t**3 + 8*t**4 - 5*t**4 + 2 as f*t**2 + u*t + s*t**4 + x + o*t**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let j = 1.5 - w. Which is the closest to 0.1? (a) 4 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.160711 rounded to 0 decimal places?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 - 583.381.\nAnswer: -766.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*r*u**2 - 13559*r + 212373*u**2 wrt r?\nAnswer: 94*u**2 - 13559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2697*d**3 - 3*d**2 + 5*d + 12. Let h be m(-3). Suppose -26199 = 6*b - h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = 18. Let z = a + -13. Suppose 1 = 2*c + z. Sort 3, 1, c.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j - 4 + 5*j + 4*j + (1 + j - 1)*(1 - 2 + 0) + 3*j - j - 3*j + 0 + 0 - j + 4*j + j - 4*j + 4 + 5*j - 4 to u + c*j and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 0.181 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*o + 5*o**3 - 254*o - 4*o**3 - 336*o**2 + 0*o**3.\nAnswer: o**3 - 336*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243160 (base 7) to base 10.\nAnswer: -44338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/48*9*6\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 9) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5023 - 1812. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2848099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b9 + 5?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 3410815906.\nAnswer: 3410815906.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.094, -18, 11\/2, -3.\nAnswer: -18, -3, 0.094, 11\/2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 + 4*u - 7. Suppose -2*h - 10 = 0, 29 = -5*k + h - 1. What is the units digit of i(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*b - 154*b - 4 + 289*b - 7838*b**3 + 4.\nAnswer: -7838*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13757626349 and 0.5.\nAnswer: 13757626349.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*(1290\/(-40))\/(-43)*-92?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:32 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 1. Let s be d(-4). Let a = 7 + s. Let x = 573 - 571. Is x >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -a23?\nAnswer: -a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. Suppose -4*b - 5 = 3*k + g, b = k - 9. Let m = 23.1 + -23. Put m, k, 2 in descending order.\nAnswer: k, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1144 and 266640?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000485 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79288 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275230*-94.\nAnswer: 25871620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/24*(-7)\/21*20\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (179*z - 179*z - 14*z**2)*(-3*z + z + z) to g*z**2 + u*z**3 + j + a*z and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68115417?\nAnswer: 3, 22705139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 110000001110100111 (base 2) in base 10?\nAnswer: 197543","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0857411 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 108 = -3*y. Let h = 54 + y. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 335, 352, 379, 416?\n\"Answer: 5*p**2 + 2*p + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 3489 + 3489.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27205*r**2 - 69765*r?\nAnswer: -54410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -46845, -124 in decreasing order.\nAnswer: 3, -124, -46845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Suppose -4*m + 3*m = -3*z - 19, -3*m = 2*z - 2. Suppose m*i = -2*r - 4, 0 = r - i - u*i - 33. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 10*d**2 + d - 1. Suppose -14*n = 89 + 9. List the prime factors of x(n).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000513741894 rounded to 7 dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5 - ((6 - 13) + 18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q + 41. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*r - 30 = 0, 3*v = 4*r + 7 + 24. Calculate the highest common factor of v and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))\/(o*o**(-2\/17)\/o))\/((o**(-2)\/o)\/o*o)**(-1\/9) assuming o is positive.\nAnswer: o**(302\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.61 - 9.61. Let v = 4 - -8. Let w = v - 7. What is the third smallest value in -1, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 39. Suppose 2*g - 2*h + 8 = 0, -4*h = -5*g - z - 1. Let s(p) = -p - g + 5 + 0 - 3. Calculate s(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-3432)\/(-702)*(-126)\/297\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 17, 2\/3, -0.91, 1, 0.2 in descending order.\nAnswer: 87, 17, 1, 2\/3, 0.2, -0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/11 - 120*j\/11 + 152 = 0.\nAnswer: 22, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 - (114 - 99) - 146.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - 0) - (-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 422, 404, 386, 368?\n\"Answer: -18*g + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14702\/61389 - -40\/171. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a**5)**42\/(a**0*a*a**(-2\/5)*a)**(-38) assuming a is positive.\nAnswer: a**(2404\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -22*z - 214. Let d be a(-5). Does d = -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3439996 (base 12) to base 3\nAnswer: -200212200221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.5 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and (-13 - 52654\/(-3948))\/(3 - 21\/3)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*1)\/(5*(sqrt(9) + sqrt(36)\/sqrt(4))).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(6)*1)\/(sqrt(90)\/sqrt(5)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 119, 268, 477?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-14) + 6\/21. Let f = 7 - c. Suppose -2*x + 2*s = -4, 2*x + 6*s - 2*s + 26 = 0. Put f, x, 1 in descending order.\nAnswer: 1, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -36*x**2 + 2480*x + 4963. Determine g(-2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from jjoaaxn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6.4. Let n = c - 0.3. Let d = 0.9 + n. What is the smallest value in d, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9545 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3564)\/(-3) + 1 + -3. Suppose -4*x - k = -6*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**2 - 8*t - 3. What is n(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3 + 2*(sqrt(325)*-3*-1 + 4))*-5)**2*2.\nAnswer: 21000*sqrt(13) + 587450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 247536?\nAnswer: 1732752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 2*z**2 + 2. Let t be j(2). Let c(b) = t*b + 4*b - 3*b. Let l(w) be the second derivative of 4*w**3 - 77295*w. Determine c(l(q)).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16 + 18\/54*-9. Sort c, -2, 1.\nAnswer: c, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:21 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.414 from -63739868719.\nAnswer: -63739868719.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - j**2 + 5*j - 2*j**2 + 3*j**3 to t*j**2 + n*j + y*j**3 + k and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8535 times -0.1?\nAnswer: -0.38535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(1\/12)\/(2\/(-6)). Let p = -35 - -41. Solve n = -2*q + p*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2208 (base 13) to base 9\nAnswer: -6446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39872, -79449, -119026, -158603?\n\"Answer: -39577*r - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 33*t + 0*t**2 - 3\/7*t**8 + 2\/3*t**3 + 0*t**6 + 0*t**7 - 1\/6*t**4 + 0 + 0*t**5. Find the third derivative of i(x) wrt x.\nAnswer: -2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21054 = -71*a + 75*a, 0 = 5*a - 5*r - 26355. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 161, 227, 275, 299, 293, 251?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyddydlddqyymmdddy. What is prob of picking 1 q and 2 m?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*u + 555*u + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573))**2 - (sqrt(208) + 5).\nAnswer: -4*sqrt(13) + 6287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*14.052086\nAnswer: -56.208344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2)*(-3)\/6. Suppose 2*o - 11 + 7 = r. Solve -5 = 5*g - 5*n, 3*g + o*n = n + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39, -87, -139, -195, -255?\n\"Answer: -2*b**2 - 42*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 4*d**2 - 2*d**2)*(-4 + 3 + 0)*(d**2 - d**2 - 2*d**2).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*f**2*j**2 + 2363363*f**2*j - 255*j**2 + 525375*j wrt f.\nAnswer: 40*f*j**2 + 4726726*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 - 2*f**2 + f**2. Let s(y) = 18*y. Let q(i) = -50*i. Let j(v) = -5*q(v) - 14*s(v). Calculate j(m(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 25. Let q be (-4)\/(-3)*-3*6. Let m = q + 62. What is the remainder when m is divided by k(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 4, p: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45400477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 325068 - 2?\nAnswer: 325066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 1\/13, 1135952, -0.3.\nAnswer: -0.3, 1\/13, 1\/11, 1135952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/13)*r**3 assuming r is positive.\nAnswer: r**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -12\/5, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-6 - -9 - 11)) + (-13 - (-2 + 13)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2) + 0 + 2 + (-1 + sqrt(18) + -1)**2.\nAnswer: -11*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 4. Let s be f(5). Let x be s*1 - 2\/(-6). Let n = -91\/2 - -44. Which is the smallest value? (a) 5 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*2\/(-5))\/((-64)\/(-320)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231.4? (a) -17\/6 (b) -4 (c) -2\/15 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-62)\/(-3))\/(3\/9). Let u = r - 249\/4. Let o = 328645 - 328616. What is the closest to o in 4, u, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = 10. Let o(q) = f*q + 2*q - q. Let l(j) = 2*j. Calculate l(o(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544988?\nAnswer: 2, 136247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 6 + -3 - ((-78 - 25) + 46).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = h + h. Let w be 12\/20 + h\/25. Solve -w*x = -5*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + 39. Let h = y - 33. Suppose 0 = 5*m - h - 1. Sort -5, -3, m in ascending order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - s - 8. Suppose 0 = -3*j + b + 64, 0 = 4*j + 3*b - 48 - 33. Let k = -21 + j. Determine l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 9*x**2 + 3*x + 11. Let b be w(-8). Let j be (-594)\/b - (-2)\/7. Is (j\/(-12))\/(-2)*222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 + 3*q**3)*(8 - 4 + 4)*(-87 + 87 + 172*q).\nAnswer: 4128*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gngnnnnngnggv. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1017650755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58443, 71945, 85445, 98943, 112439, 125933, 139425?\n\"Answer: -r**2 + 13505*r + 44939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -23\/4, -0.5, -2\/7 in ascending order.\nAnswer: -23\/4, -0.5, -2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/30 - a**4\/6 + a**3\/3 + 4*a**2. Let h be r(2). What is the greatest common factor of h and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 14*a**2 + 20*a - 13. Let n be p(-9). What is the second derivative of o**5 - 212*o**4 + 31*o + n*o**4 + 70*o - 3*o**3 wrt o?\nAnswer: 20*o**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -559 (b) -29\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 712*v**5 - 1176*v**4 + 1176*v**4 - 115*v wrt v?\nAnswer: 14240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a = 34*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.1 + -15. Let l = g + 8.2. Let s = l + -4.8. Which is the closest to 1? (a) s (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:04 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -24. Let l(u) = 47*u - 3. List the prime factors of l(f).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2. Let d(t) = 65*t - 20. Let o(f) = 32*f - 9. Let h(c) = -4*d(c) + 9*o(c). What is h(n(i))?\nAnswer: 28*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -11*b + 8*b. Let i be 20\/30*b\/4 + 6. Let f(t) = 15*t - 3. Let s be f(5). Calculate the highest common divisor of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(189) - (sqrt(189) + (4*sqrt(189)*3 - sqrt(189) - sqrt(189))) - sqrt(189) - sqrt(189))\/sqrt(3))**2.\nAnswer: 360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38256 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/70*(-8)\/(-28))\/((-50)\/125)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 14*o + 9. Let s be a(-4). Is s less than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/225 and -47\/54?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*l + 2*l**2 - 2\/5*l**4 + 2\/5*l**3.\nAnswer: -2*l*(l - 3)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -82.8. What is the biggest value in 5, 0, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -23556.5 to the nearest one hundred.\nAnswer: -23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 38*c + 378. Let o be h(-16). Is o less than -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.02 (c) -0.4 (d) 5\/4 (e) 2.9 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -23.7. Let s = -4 - q. Let h = -419\/2365 + -1\/215. What is the second smallest value in s, -1, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1. Let t(i) = 3*i - 2. Let m(x) = 2*d(x) - t(x). Let a be m(-3). Solve 3*z = -a*q - 6, -z - 1 = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from gyhhaahyhghggghhyhh.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 1\/11 (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)*v**(4\/13))\/(v**(-4\/13)*v*v\/(v**16*v)) assuming v is positive.\nAnswer: v**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = -20. Let a be (-12)\/(-16)*(3 + k). Let g = a - -242. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/5 + 2246*v\/5 + 88724\/5.\nAnswer: 2*(v + 41)*(v + 1082)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -372074*f**4*u + 19*f*u + 312526*u - 336 wrt f?\nAnswer: -1488296*f**3*u + 19*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 31654, 10, -2, 1 in decreasing order.\nAnswer: 31654, 17, 10, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 39*p**3 + p**2 - p. Let i be o(1). Suppose -5*g + i + 36 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151906 (base 11) to base 14\nAnswer: 6237c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (11824\/(-296) + 110\/(-2035))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -50) + 2237634\/(-46053).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78015 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 155687\/650 not equal to 239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 2:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 - 364490716.\nAnswer: -364490624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2127154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 9*q - 2. Calculate h(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -247. Suppose 27 = 3*t - 5*n, -3*n + 7 = -0*t + 4*t. Let l be (-2)\/t - r\/(-238). Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 646943 and 94215?\nAnswer: 9704145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 16*j - 6. Calculate the remainder when 35 is divided by s(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -75. Let h(a) = 21*a**2 - 58*a + 58*a - 16*a**s. Let m(o) = 4*o. Give m(h(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijiijiijjiiiiiiiii. Give prob of sequence jjj.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-1 - -1) + (24 - (-19 - -28)) + -29?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 113*n - 3017. Let k be p(70). Sort k, 5, -5, 0, 14 in decreasing order.\nAnswer: 14, 5, 0, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 + (2 - 1). Let u = 410.62651 + -0.02651. Let d = 411 - u. Which is the closest to d? (a) 0 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(17\/4))\/(m*m**(-14)\/m*m*m))\/(((m**(-2\/3)*m*m)\/m*m)\/((m\/(m*m\/m**(1\/16)*m))\/m)))**(-29) assuming m is positive.\nAnswer: m**(-19459\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 = p, -d = 4*p - 0*p - 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*(-5)\/50?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138414 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7830.2 - 7830. Let s = -3.5 + -1.5. What is the closest to 11 in -2, 1\/6, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 29*u**2 + 208*u + 382. What is i(-35)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (46 - 20) - 33 - ((1 - 27) + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2. Let o be ((-4)\/6 - 0)*-6. Let g(b) = -o*b + 5*b - b + 5*b**2. What is g(n(k))?\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -2. Let h = v - -99. List the prime factors of ((16\/h)\/(-4))\/(14\/(-1869)).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -14, 1\/5, -10\/11, 1\/4?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4249 (base 13) to base 9\nAnswer: -13537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(187) - (sqrt(187)*2 - sqrt(187)))\/sqrt(11))*2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -104254 equal to -104252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + sqrt(17) + 1)*-1)**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15579, -15582, -15585, -15588?\n\"Answer: -3*z - 15576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6412 = -15*o + o. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 38*l**2 - 35*l + 174. Let q be c(-39). Calculate the greatest common divisor of q and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let j(v) = -2*v - 3. Let u(h) = h**2 - 8*h + 9. Let q be u(6). Let l be j(q). Let d(o) = -2*o + o - l*o. What is i(d(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 7095.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*x = -8173*x + 596766 for x.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 17111 + 5105. Is i\/24*18\/(1 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from ggrgrgg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1 - 37 - 12*q + 37 - 2*q + 3*q - 4*q - q - 4 + 4 - 4*q + 0*q + 2*q + (5*q - 5*q + 2*q)*(3 + 1 - 2))*(-2*q - q + 2*q).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/21, -7, 2, 61?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l + 3. Let k(m) = 3*m**2 - 1. Calculate the remainder when k(l) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430*v - 59*v = 1113. Factor -2\/3*h**v - 8\/3*h + 0 + 8\/3*h**2.\nAnswer: -2*h*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/2941 + -256107\/117640. Calculate the common denominator of p and -145\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 14*m**2 - 21*m + 20. Let r(q) = q**2 - 2*q + 2. Determine a(l) - 6*r(l).\nAnswer: -l**3 + 8*l**2 - 9*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4213, 8255, 12291, 16321, 20345, 24363?\n\"Answer: -3*k**2 + 4051*k + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 107.\nAnswer: 105\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f + 4. Let b(u) = u**2 + 4*u + 7. Let c be b(-5). Let q = 6 - c. Let n(a) = 7*a + 5. Calculate q*r(m) + 5*n(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11*b + 294 = 0. Differentiate -42*g + b*g + 20*g**2 + 19 wrt g.\nAnswer: 40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Let u be n - (-2 - -1 - -1). Solve u = 2*m + 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*(z\/z**1)\/z*z)\/(z**(7\/3)\/(z*(z**(-1\/15)*z)\/z*z*z*z)))**(11\/7) assuming z is positive.\nAnswer: z**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + h + 199 = 4083, 1 = -h. What is the least common multiple of 4995 and m?\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 21, -3\/10, 1, 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (16 + (-8 + 14 + 0 - 29)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*m + 3*x - 11, 5*x = -4*m + 13. Determine y, given that -m*y**2 + y**2 - y**2 - 6*y - y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/236480 and 77\/113440.\nAnswer: 167664320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 152?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -51 + 34 + 35?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.3 + 4.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y + 26. Let p(i) = -3*i + 5. What is -2*b(c) + 11*p(c)?\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 22*v**2 - 5*v - 15. Suppose -44*t + 50*t + 12 = 0. Let j(d) = 5*d**2 - d - 4. Let o(b) = t*y(b) + 9*j(b). Factor o(s).\nAnswer: (s - 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324994 is divided by 625.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-21)*l*l*l)\/l*l*l**(-2\/21)*l)\/(l**(2\/3)*l*l**(-1\/41)) assuming l is positive.\nAnswer: l**(-15272\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 + ((-46)\/(-8) - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(10\/(-9)*33\/55). Let n be (-3)\/(-15)*5\/y. Which is the second biggest value? (a) 0.05 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -26) + (2 - (-5 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*g + 3 - 5 + 2 + 854*g.\nAnswer: 773*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k + 2502 = 27*k + 129*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -52. Suppose 902 = 9*y - i. What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/(-5))\/((-1)\/(-2)). Suppose z + 10 + q = 0. Let j = 31 + z. Solve j*p = 2*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/24 + 47*s**3\/2 - 19881*s**2\/4 - 1275*s. Factor i(z).\nAnswer: -(z - 141)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8625474 months in millennia?\nAnswer: 0.00007187895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -104976 - 676*j**2 - 72*j**3 - 1091*j**2 - 182*j**4 - 23328*j - 177*j**2 + 181*j**4 = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 27 + 19)*(-4*b**4 + 5*b**4 - 2*b**4).\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from oqfooososowoqsqfq?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 - 4 - 5*t**2 + 6*t - 7*t**2 + 0. List the prime factors of l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (177 + 177 + 3*l - 64)*(2 + 2*l - 2)*(-1 + 2 - 3) + 3*l**2 + l**2 - 6*l**2 to o*l**2 + k*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*f + 14, 2*f = 10*a - 11*a + 10. Sort -19, -8, a in increasing order.\nAnswer: -19, -8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -940767 - 0?\nAnswer: -940767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7685 - 6*p - 6*p + 4*p + 4*p - 7393 in the form s + d*p and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - 3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 0.370247?\nAnswer: 4.813211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w**2 - w. Suppose -6*o + 0 = 6. Let m(t) = -2*t**3 + 2*t**2 - t - 5. Let s(j) = o*m(j) - 3*d(j). Is s(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16\/z*z\/(z**(-7)*z)*(z**48)**(-6\/13))**45 assuming z is positive.\nAnswer: z**(-90\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.1533 millennia in years?\nAnswer: 322153.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Let j(r) = r**2 - 3*r + 3. Suppose l + 2 - 4 = 0. Let c = 0 + l. Give c*j(p) - 6*k(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 o when three letters picked without replacement from {y: 2, o: 4, d: 1, h: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 4*n - 2*n - 5*n. Let r(c) = -7*c**2. Give x(r(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*x + j + 6, 2*x + 3*j + 14 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3062 + 45991?\nAnswer: 45995.3062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, c: 3}. Give prob of sequence wc.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/5 - 887*b**3\/5 + 205603*b**2\/5 - 3874917*b\/5 - 13499208\/5 = 0.\nAnswer: -3, 24, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 0*x + 2*x + 0*x. Let g(q) be the first derivative of q**2\/2 - 1. Give v(g(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 3)\/(3*-1). Suppose k = -4*r, r = -3*i - r + 3. Is -2 + 70 + (0 - i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 2*g**2 - 7*g - 7. Let y be i(4). Which is the biggest value? (a) 1 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 9. Let l be v(5). Let y(h) = 19 - 2*h - h - l*h. Let x be y(-8). Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83773 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3428055)\/(-1407) - 3\/7. Calculate the greatest common divisor of 252 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -19.\nAnswer: -19, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 6*h + 13 + 13 to the form s + r*h and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 8. Let s = 60 - 56. Let y be k(s). Solve -3*x - 1 + 4 = y, 0 = 3*r + x - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -43, -85, -149, -241, -367?\n\"Answer: -s**3 - 2*s**2 - 13*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddnnnssnnnsnnss. Give prob of sequence yn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -103*y - 143. Is f(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19300 or -19314?\nAnswer: -19314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -135 - 77. Let j = 83 + m. Suppose -d = -3*d + j. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {c: 1, g: 5, f: 1, h: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.01. Which is smaller: o or 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293108683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 143\/((-4 + -2)\/(-12)). Suppose 0 = v + 3*v. Suppose 4*z - 88 = -4*j, z - 42 = -v*z + 4*j. Calculate the highest common divisor of z and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 7 + 3. Suppose 6*h = n + 2*h - 25, z*n - 3*h - 30 = 0. Suppose 15 = -n*r + 14*r. Solve -2*c - 5 = -r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:32 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**3 - 2*m + 2. Let i(d) = -11*d**3 - 3*d + 3. What is 5*i(c) - 8*x(c)?\nAnswer: c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46215*r**3 + 20630*r**3 - 14520*r**3.\nAnswer: -40105*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + m + 23 = 0, -4*o - 3 = -o + 5*m. Let q be (3 + 2*-1)*9. Let x = q + 11. Solve o*a - x = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -124*a**3 + 6. Let h(j) = j**3 + 1. Give -6*h(v) + x(v).\nAnswer: -130*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27318?\nAnswer: 2, 3, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0677 + -0.1677. Put 3, -0.3, 68, r in decreasing order.\nAnswer: 68, 3, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.82623 and 3.442?\nAnswer: 2.84388366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -2*m. Suppose 2*x + m = -11. Let j be (6\/x)\/(6\/(-210)). What is the highest common divisor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + b**2)*(3*b**2 + 0*b**2 - 2*b**2) + (0*b + 2*b + 2*b)*(2*b**3 + 2*b**3 - 5*b**3))*(b - 6*b - 2*b).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -190 - 3?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3480312.\nAnswer: 3480312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t = -4*l + 36, -t + 17 = 3*l. Let b(q) = -q + 7. Let r be b(6). Calculate the greatest common factor of r and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**5 + 15*b**3 - 15*b**3 + (b + 2*b - 5*b)*(b**4 - 2 + 2).\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 4*k**2 - 56*k + 96.\nAnswer: 4*(k - 3)*(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6d3 (base 14) to base 7.\nAnswer: -616653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = 0. Let r = 2 + q. Find the third derivative of w**3 - 2*w**2 + 3*w**r - 3*w**2 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-435)\/2*(-2)\/3. Suppose 43 - 17 = s + 2*f, -5*s + 5*f + m = 0. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -147. Suppose -3*k - 3*p + l = -24, 4*k = p + 129. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -2.1. Let d be (-24)\/(-9) - (-1)\/3. Suppose -t = -d*t + 4. Which is the nearest to 0.1? (a) n (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/j**(-18)*j*j))\/(j\/(j*(j\/((j**(1\/6)\/j*j*j)\/j))\/j))*(j*j**0)**40)**8 assuming j is positive.\nAnswer: j**(452\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -4. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101 (base 2) to base 3.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - 84. Let k(w) = -6*w - 7. Let z be k(v). Solve -z = 5*a + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 4*m + 9 = 0, 5*m - 5 = 0. Is r < 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68.856 + -69. Let z = m + -0.056. Put 4, z, -2 in ascending order.\nAnswer: -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1714*s**2 - 11541*s**2 - 2 + 2.\nAnswer: -13255*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:19 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 1\/3, -512, -6 in increasing order.\nAnswer: -512, -6, -1\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24559\/9 - 2737. What is the common denominator of f and -17\/69?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 6*f = 176. Suppose -15*r + f = -4*r. Find the second derivative of -r*t - 4*t + 17*t**5 - t**5 wrt t.\nAnswer: 320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 295 = -2*k, 5*t - 2*k - k = 300. Suppose -5*g - 42 + t = 0. Factor -p**4 - 2*p + 0*p**3 - 4*p**3 + 7*p**g - p**5 + p**2.\nAnswer: -p*(p - 1)**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446640 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(-5*v + 2*v - 2*v)*(24*v**4 - 22*v**4 + 2 + 28*v**4).\nAnswer: -450*v**5 - 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -46. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2 + 3 - j + 3 - 2*j. Give k(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 22*p**2 - 14*p**2 - 7*p**2. Let g(u) = 7*u. Calculate g(n(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*i**4 + 2*i**3 + 87.\nAnswer: -200*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(((-20)\/(-365))\/2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42461 * 1.\nAnswer: 0.42461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27982 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 m when three letters picked without replacement from fcmffftffmmfffmfmfff.\nAnswer: 13\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 3)*(-w + 2*w + 0*w)*((3 - 5 + 7)*(3 - 1 + 0) - 3 + 9 - 1 + (0 + 0 + 1)*(1 - 4 + 1)).\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 298*r - 70 = -303*r, 21*t + 2*r = 28 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -478 - -514 - (69 + -4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -343.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -150*r**4 - 7354*r**3 + 67154*r**2 - 58054*r - 1596 = 0.\nAnswer: -57, -2\/75, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 4*t + 4*t)*(7092*t - 18 - 3572*t - 16 - 3570*t) to the form f*t + x*t**3 + c + a*t**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:44 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 222*i - 3829. Give v(19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 7*r + 17*r - 47*r**2 - 13*r**2 - 18*r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -900170 + 5?\nAnswer: -900166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**7\/y)*y*y**(-2\/5))\/(y*y\/(y*y**(-2)))**(-30) assuming y is positive.\nAnswer: y**(428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128.6 - -119.55. What is m rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**2 + 3*x**2 - 2*x**2 in the form z + q*x + b*x**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 12. Calculate the remainder when 106 is divided by d(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -7. Let s = v - -1. Calculate the least common multiple of 22 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 6*d**2 - 4*d**2 + (3*d + 0*d - d)*(-33*d + 75*d + 70*d))*(14*d**3 - 3*d**3 + 6*d**3).\nAnswer: 3859*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (189\/45 - 4) + 68\/10. Let i be (-1 + 1)\/(q + -12 + 3). Solve 0 = -i*n + 2*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 18 - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-14))\/(6\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -181*s**2 - 319*s + 633. Let d(n) = 80*n**2 + 160*n - 316. Let z(a) = 9*d(a) + 4*u(a). Let z(j) = 0. What is j?\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*sqrt(170)*-4 - sqrt(170)) + sqrt(170))\/((sqrt(80)*1)\/sqrt(8) + sqrt(10)).\nAnswer: -4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 42*m + 27 - 27.\nAnswer: 13*m**2 + 42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {p: 5, m: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 18702100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -466, -1343, -2980, -5623, -9518, -14911, -22048?\n\"Answer: -41*j**3 - 11*j**2 - 43*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23792956 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u - 3946 = -74*u - 27*u + 918 for u.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064639 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.4022 + 3569.7878. Let r = a - 3561. Let b = 21.3 - r. Round b to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqh when three letters picked without replacement from {b: 11, h: 3, q: 4}?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 3818?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 1, p: 1, q: 6, v: 2, o: 2}. What is prob of picking 1 v and 1 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.7 (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 129 + -120 - (6 + -1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 2237*y + 77217. What is x(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 4677*i**2 - 1857432*i - 26819280.\nAnswer: -3*(i + 15)*(i + 772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -351945.673 to the nearest one thousand.\nAnswer: -352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 10, -125 + 468 = 3*q + 2*y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16430, 16295, 16110, 15875?\nAnswer: 15590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 3. Let z = 2497 - 2496. Sort 2, p, -4, z in decreasing order.\nAnswer: 2, z, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269 + -274 - (-1 - 16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -9 + (-1 - 8) + 10 + (17 - 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 3 - 23*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)\/(q**(1\/12)*q))\/(q*q*q\/q**15*q*q*q**8) assuming q is positive.\nAnswer: q**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1*-2 - sqrt(156))\/sqrt(4))\/(6*sqrt(192)).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846 and 135783?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138880.6 millilitres in litres?\nAnswer: 138.8806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6 + 0)*(25*t + 32*t - 69*t)*(-2 + 2 + 8) as m + p*t and give p.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 2. Let m be i(-3). Let u(a) = m*a - 4 - 2 + 5. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102.9 + 102. Let s = f - -0.89999612. What is s rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/33)*q**(-1)\/q*(q**(-2\/7))**(-29\/5) assuming q is positive.\nAnswer: q**(-326\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -134 in -0.4, 0.22, -2, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 2*z + 76, 62787*l + 153 = 62783*l - 3*z for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrry when four letters picked without replacement from yyryyyyrryyrryyy?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, 101, 381, 783, 1313, 1977?\n\"Answer: o**3 + 52*o**2 + o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -1.2. Let t = q + 1. Let x = 0.9 + 3.1. Sort 2, t, x.\nAnswer: t, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:22 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Calculate the remainder when (-3)\/5*1*-5 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41\/14 - -607\/462. Let a = t - 79\/99. Let v = -430\/117 + a. Is 1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppll when four letters picked without replacement from pllpppplppppplpplpp?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2))**16)**(1\/13) assuming j is positive.\nAnswer: j**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133798604?\nAnswer: 2, 31, 1079021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0564 times -0.4?\nAnswer: -0.02256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3103820 divided by 620764?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 3. Let c be z(1). Suppose -90 = 2*w - c*w + 4*l, 61 = 4*w - l. Calculate the highest common divisor of w and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*((-20)\/(-8) + -3). Let z = 0 - -12. Let h be 3\/3 - z\/8. Is h smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*i**2 - 2*i + 238.\nAnswer: 196*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) -1\/93 (d) 2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 3*j - 3*j. Let n be 0\/(-3) + -1 + 6. Let y(d) = -n*d**2 - d**2 + 2*d**2. What is y(p(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55108051 to the power of 1\/2, to the nearest integer?\nAnswer: 7423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 5\/4 (c) -0.371 (d) 0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74500.95 months to years.\nAnswer: 6208.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325\/6 + -160\/3. Calculate the common denominator of f and (-3 - -1)\/36*86.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6157\/262 + 1\/(-2). What is the nearest to -2 in -1\/4, d, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4163057 micrograms in nanograms?\nAnswer: 416.3057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -190754 divided by 1?\nAnswer: -190754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1541 - 1536. Sort -4, y, 4, 25 in ascending order.\nAnswer: -4, 4, y, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024292051 to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50036 divided by 1.\nAnswer: 50036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*i - 20 = 0, 88 = 5*d + i + 27. Solve -2*c - c = -d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(7) + 0 + (sqrt(7) + 1 - sqrt(7))*-5) + (0 + sqrt(28) + 0 + 1)**2.\nAnswer: 5*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o**3 - 9*o**2 - 4*o + o**2 - o - 5 + 3*o**2. Let p(x) = -20*x**3 + 12*x**2 + 12*x + 12. Determine -12*k(h) - 5*p(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i**3 - 3*i)*(0*i - 8*i - 4*i - 5*i + i + 3*i + (-4 + 1 + 1)*(i + 0*i - 3*i) + 3 - 3 - 2*i)*(-2 - 1 - 2).\nAnswer: 110*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 1222.\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25152365, 100609455, 226371271, 402437813, 628809081?\n\"Answer: 25152363*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268924\/21 + -12802. Find the common denominator of t and -50\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6597.75 + -6541.8787. Let n = a + -55.9. What is n rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5424\/400)\/((-1)\/5). Let g = 1758\/35 + b. Is g not equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578882?\nAnswer: 2, 43, 157, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 4:28 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 366*v - 1848. Let o be t(-5). Solve 4*c + o*c = -11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 40. Calculate the greatest common factor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j**5 + 2*j)*(10 - 12 - 56).\nAnswer: -116*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.249 times -0.1\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 31*w**3 - 25 - 89*w**3 - 77*w**3.\nAnswer: -135*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(76))*-3 - (sqrt(76) + -2*sqrt(76) + -3 - sqrt(76)))**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*(-3 + (-17)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 22*l**2 + 794*l + 7305. Let o(g) = -4*g**2 - 3*g + 1. Let h(y) = -d(y) - 5*o(y). What is the derivative of h(r) wrt r?\nAnswer: -4*r - 779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0 + sqrt(13))*2 + sqrt(13)*-3 + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 47. Is 0.44 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 40 + (2 - 0 - 34)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4392 + 4391.8. What is the closest to i in 3, -2.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 4 = -4*u - 3*i, -17 = -2*u + 3*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*r + 3. Let d = -1\/94 + -91\/282. What is the second smallest value in 9, r, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2021020 (base 3) to base 6\nAnswer: -11353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + 2 + 100*j + 68*j in the form c*j + q and give c.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -2\/5 (c) -4 (d) -14 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27218992 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -23*u - 34*u. Let c be (8\/6)\/((-2)\/6). Let p be (-173)\/(-7) - c\/14. Solve u*b - p = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a + 19*a - 12*a + 36. Let x be t(5). Is 17 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 481 and 24602.\nAnswer: 11833562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*y - 4*c, -c = 3*y + 1 + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8*r + 36. Let k = r - 0. Sort 2, k, -4 in increasing order.\nAnswer: k, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.259188ml to litres.\nAnswer: 0.008259188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 + 95*r - 13. Let p(l) = l**2 + 44*l - 6. Let f(j) = 13*p(j) - 6*y(j). Let g(z) = 714*z**2 - 85*z. Calculate -255*f(k) - 6*g(k).\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(22\/(-99)). Let c be (q - -11 - 4) + -4. Suppose c*o = -5*o + 35. Calculate the greatest common factor of 35 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 4*x + 10. Give l(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 2*z**3 + 2*z**5)*(189 - 246 + 269)*(1 + 2 + 2).\nAnswer: 2120*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*z = -9*z - 11, 2*s - 17 = 3*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 396 + -238. What is the remainder when r is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, -2532, 0.02, 0.4, 0, -1\/2.\nAnswer: -2532, -1\/2, 0, 0.02, 0.4, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14461885 is divided by 3398.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -22*x - 15. Let i be v(-4). Let d = i + -36. Suppose 4*y - 4*j = 60 + 512, 5*j = -2*y + 300. Calculate the remainder when y is divided by d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1019 by -1019.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o + 9. Let s = -12 - -15. Let u be 248\/336 - s\/18. What is the nearest to -1 in 5, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 28 = -4*k, 5*l + 154*k - 152*k = -26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 - 10 = 0. What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -101. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2499 and 78234.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204317823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848107467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5504856 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 2*g**2 - g + 8 + 0*g**2 to the form p*g + w + y*g**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 26 - 51 + 25.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, n: 2, m: 1}. Give prob of sequence mndd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.336374 grams in milligrams?\nAnswer: 5336.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 95620437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pipppipiipip. Give prob of sequence pip.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, f: 2, h: 1, g: 9}. Give prob of sequence gg.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 + 8 - (-30 + 26))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(-2*w + 0*w - 3*w) + (3*w**2 - w**2 - 4*w**2)*(4 - 3 - 4) - 2*w**2 - 4*w**2 + 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, 122, -38, 0.01, 0.4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 - 5*o. Let g(x) = -x + 13. Let h be g(8). Let s(d) = d**2 + d. Give h*s(n) + c(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 189, 362, 511, 630, 713, 754, 747?\n\"Answer: -k**3 - 6*k**2 + 198*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101 (base 3) in base 15?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -72. Let z = i + 7. Suppose 2*h - 16 = g + 4, -5*g = 4*h - z. What is the least common multiple of h and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*t + 511 = 214*t + 16388 - 1471 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11768*b - 123329 - 112031 = 0 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**2 + 23*g + 90. Give m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -23. Let l(k) be the first derivative of k**3\/3 + k**2 - 6. Determine l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6387, -6383, -6377, -6369, -6359?\nAnswer: -6347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73320 = -44597*k + 46430*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = -139 - 53 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*y - 11*y + 20, -2*y = g - 6. Solve -15*q - g = -10*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 17399112?\nAnswer: 26098668","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate 15641*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60313, 82643, 104973, 127303, 149633?\nAnswer: 171963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3990*z + 4898*z + 0 - 1407*z as b + y*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**4 - b**2 - 16*b**4 + 2*b + 2 + 2 in the form z*b**4 + l*b**3 + d*b + m + o*b**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913182 greater than 7913186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 1235999 + 1236475 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 866 = -x, 1742 = 68*x - 70*x - 4*y. Is x bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a factor of 230289392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5*u - 158*p**4*u**2 - 3*p*u - 5*u**2 + 1 wrt p.\nAnswer: 60*p**3*u - 1896*p**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 31 - 31 - 3*l**4 + 3*l**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 9 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.6, -2\/167, -0.01 in descending order.\nAnswer: 0.6, 0.1, -0.01, -2\/167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.58 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let w be -20 + -13 + 40 - 3. Let m(p) = -p - 9. Let z be m(-8). Let s(j) = j**2 + 4*j - 5. Give w*h(b) + z*s(b).\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1158802 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -53 + 20. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12565404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 4. Let l(j) = -176*j + 3 + 55*j + 62*j + 57*j. Let t be 136\/(-51) + (-8)\/6. Let z = 11 + -8. Determine t*l(g) + z*w(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j + 10. Calculate t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5040 in 2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5371 is divided by 320?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 12*h - 77 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2731d (base 14) to base 9\nAnswer: -156524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n, 5*z = -0*n - n + 59. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 1. Suppose 0 = 6*j - 2 - 16. Let q(x) = -1 + 3*x**3 + 0 - 2*x**j + 2. What is 4*b(f) + 7*q(f)?\nAnswer: -f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 3:05 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2822 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybzdte. Give prob of sequence zy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 41257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.2. Let x = -26 - -60. Let v = x + -33.5. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21076 + 21178. What is the second smallest value in -0.5, -1\/8, 0.4, 0.3, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:11 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 2*z = -4, 0 = -k - 5*z + 17. Let x(t) = 10*t - 10*t - 2*t**k. Let f(n) = -6 + 3 + 3 + 2*n. Calculate f(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95514\/237515 - 3\/3545. Let d be ((-3474)\/4)\/(6633\/24). Let s = g + d. Calculate the common denominator of -61\/2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -25. Suppose -5*a + 3 = -x - 6, -a = x - b. Is -2\/7 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-1680)*198*7\/(-630)*-3 and 107\/616.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose -2*n + 0*g + 16 = -r*g, -2*n = -g - 8. Suppose -n*z + 51 = z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - m - 2, -m = -5*b - 0*m - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.18463 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0.4 (b) -19 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let f(p) = -2*p + 2 - 4 + 2*p**2 - 3*p. Suppose 0 = -402*r - 241 - 161. Calculate r*f(a) + 3*t(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 296 and -1341075952.\nAnswer: -1341075656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 1248 (c) -2\/7 (d) 3\/5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 7e97?\nAnswer: -7eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*g + 5, 1167*g + 172 = 1177*g - 2*i. Let r = -7 + 15. What is the remainder when g is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.05 + -10. Let t = u - 0.05. What is the third smallest value in 0.5, -3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:16 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 48 = -11*b. Let h(n) = 22 + n - 10 - b. Let w(t) = -3*t. Let j(a) = 4*a. Let i(o) = -3*j(o) - 3*w(o). Calculate i(h(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*d**3 - 1683347*d**2 - 280309591 with respect to d.\nAnswer: -96*d**2 - 3366694*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 2*d + 163 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 0, a + 6*u = 3*u + 5. Let x be 0 - 5\/(1 - 2). What is the third derivative of 2*w**6 - x - 3*w**a + 5 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + 1 + 3 - 3 + 2 - 1 + 0 + 1 - 2 + 0 + (-5 + 3 + 3)*(1 - 2 + 0) + 1 - 3 + 0)*(-1 + 10*n**2 + 1).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**3 - 1146*m**2 + 27*m - 15. Let g(w) = -2*w**3 - w**2 + 2*w - 5. Let a(x) = -3*g(x) + t(x). What is the second derivative of a(f) wrt f?\nAnswer: -6*f - 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 4, 3\/7, 3\/19, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-24)*27\/18.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*x - 9 = 1, -u + 11 = 2*x. Suppose -u = -2*v + 35. Let o(d) = -14*d**2 - 197*d + 8. Calculate the lowest common multiple of v and o(-14).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 913 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 11*i**2 + 6*i - 28. Let x(d) = -d**3 - 7*d**2 + d + 1. Calculate t(s) + x(s).\nAnswer: s**3 + 4*s**2 + 7*s - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214 + 352. Suppose -1059495 = -3296*m + 225*m. What is the highest common divisor of a and m?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.26, 1\/6, -2041914?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 8688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43124666.08358 and -5.\nAnswer: 43124661.08358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**9\/126 + 67*a**8\/84 - a**5\/60 - 7*a**4\/8 + 2*a**2 - 176*a. What is the third derivative of y(p) wrt p?\nAnswer: -480*p**3 + 16080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20252 + 62561 = 4903*g - 61820 + 17155 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) 23 (d) -0.5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10922091, 10922116, 10922139, 10922160, 10922179, 10922196?\nAnswer: 10922211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-1302)\/(-1240))\/(18\/8)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003906714971 rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17)*1 + 2)**2 - sqrt(17)*2*3 - (5 + sqrt(34)\/sqrt(2) - (sqrt(17) + 0 + -5)).\nAnswer: -9*sqrt(17) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34547847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 2. Let y be b(5). Let g(c) = 3*c**2 - 2*c**3 + 2 + 4*c**2 - 3*c**2 + 3*c**y. Let p be g(-4). Solve p*o = 6*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179152 - 179152 - 25*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**17*d)\/d*d**19 assuming d is positive.\nAnswer: d**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 + 147. Solve 2*n = n - 5*z - 8, v = -z - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 34 = 28. Suppose -3*m - 17 - 11 = -4*g, 2*m = -r*g. Suppose -g*w - 5*q = -180, 42 = w - 3*q + 5*q. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/6*(-24)\/42*(-15)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-454)\/6 - (-4)\/(-3))*(95 + (-48691)\/511)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13698\/12*(-2)\/(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 5 - (-18 + 22)) + 2 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2573*o + 7840. Let f be j(3). Solve -f*h - 568 = -50*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3632*h = 19709*h + 2161397 - 344696 for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + 3 - (-245376)\/(-21584). Solve g*f + 2\/19*f**2 - 14\/19 = 0 for f.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178.932 litres in millilitres?\nAnswer: 2178932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2184645 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 4*x + 168, 4*m = -5*x + 362. Let a be (-1)\/((-202)\/50 + 4). Let t = 33 - a. Calculate the greatest common divisor of t and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 16. Let c(b) = 8. Let r(k) = 2*c(k) - w(k). Let y(x) = 102*x**2. Give y(r(g)).\nAnswer: 1632*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5*(38 - 3). Let h be (-52)\/(-14) + 4\/t. Let g(x) = x**3 - 2. Let j be g(2). Solve d + 3 = 0, -2*d + j = -h*a - 4*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22184\/83190)\/(26\/(-315)).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 2*c**2 - 2*c + 2. Let d be w(1). Let v = -2.01 + 0.01. Let h = 6 + -5. What is the closest to h in d, v, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42400665913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2530809 and 125643.\nAnswer: 17715663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4209015 by -4.\nAnswer: 4209015\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26326*d**5 - 3*d**4 - d - 3241402 wrt d.\nAnswer: -526520*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/2 + x**3\/2 - x**2. Let u be k(2). Let j = u + 44. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, 8, -0.04 in increasing order.\nAnswer: -0.04, 10\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:05 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5084\/(-704) + 3 + 0. Let j = 23\/11 - h. Let i = 8735\/8052 + -1\/671. What is the common denominator of j and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957718366?\nAnswer: 2, 3, 47, 1031, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078801 times 3?\nAnswer: -0.236403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1192 + -10.4078. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -110?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 2, -4 in decreasing order.\nAnswer: 2, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26438 - -26328.43. What is m rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2*t**5 - 2*t**3 + (0*t**2 + 0*t**2 - 3*t**4)*(-6*t + 4*t + 12*t) - 4*t**5 + 2*t**5 + 4*t**5.\nAnswer: -26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 5*w**4\/3 + 16*w**3\/3 - 70*w**2 - 44*w. List the prime factors of i(6).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 22210?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4766 = -10*t + 11304. What are the prime factors of (-1 - t)*(1\/(-3) - 0)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11580, -23182, -34808, -46458, -58132, -69830, -81552?\n\"Answer: -12*z**2 - 11566*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i. Give r(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 31*m - 6*m**2 + 23 - 10*m**2 - 8*m**2 + 7*m**2. Let w be n(-17). What is the highest common factor of w and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**4 - 7 + 17*l**4 - 46*l**4 + 10*l**4 - l + 7*l**2 + 4 in the form z*l**3 + u + d*l + x*l**2 + a*l**4 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -7. Suppose 2*x - q = 15. What is the smallest common multiple of (18\/4 + -4)\/(-5 - 77\/(-14)) and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1)\/(-12) - 676\/507)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1620610, -3241217, -4861824, -6482431, -8103038, -9723645?\n\"Answer: -1620607*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:02 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56668970*b**3 - 68981671*b wrt b?\nAnswer: 340013820*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c - 4*c + 21*c. Let b(u) = -6*u - 5. Let m be (-9)\/(-2) - 2\/(-4). Let v(i) = -5*i - 4. Let z(j) = m*v(j) - 4*b(j). Calculate p(z(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2. Let o(n) = -n**2 + n - 1. Let v(d) = -d**2 + 2*d - 2. Let h(t) = 2*o(t) - v(t). Give a(h(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -75014462931.8 and 0.076.\nAnswer: -75014462931.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-3 - -2) + 0). Let j be (14\/(-8) - 0)*-20. Suppose -5*v - j = -3*s - 2*s, -5*s + v + 15 = 0. What is the greatest common divisor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332224302013 - -2?\nAnswer: 332224302020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4714778, -9429554, -14144330, -18859106?\nAnswer: -23573882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.5. Let b = s + 0.53. Let l = 0.025 - b. Round l to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23355*n - 23355*n + 31*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 34. Let r be c(-5). Suppose 4*s = 10*s - 594. Suppose -7*f = -r*f - s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 818, 1, -4 in descending order.\nAnswer: 818, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(22 - 30)\/(-16). Solve -8\/3*x**4 + 0*x**2 + 1\/6*x**5 + 32\/3*x**3 + z*x + 0 = 0 for x.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10622.\nAnswer: 2, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 1. Let n(q) be the first derivative of -q**3\/3 - 5*q**2 - 6*q - 5. Let w be n(-10). What is y(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*g*t**3 - 35*g*t + 2*g - t**3 - 43349 wrt t.\nAnswer: -171*g*t**2 - 35*g - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1 - (-2 + 4). Let b be 1*-1 - (v - 2). Suppose -31 = -5*i - b*t + 10, -3*i = -t - 11. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-56))\/(3 - (-108)\/(-28))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3196064 rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:53 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 - 13*j + 129\/10.\nAnswer: (j - 129)*(j - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1758 by -7.\nAnswer: -1758\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 14, c: 4}. What is prob of picking 4 c?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 698 - 638. Calculate the highest common factor of m and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 + -296. Let n be (-10)\/s*66\/15. Let f(y) = -6*y + 3. Let a(c) = -17*c + 9. What is n*f(x) - 4*a(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -13, -5 in descending order.\nAnswer: 4, 1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 3, z: 3}. What is prob of sequence hza?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)\/c)\/c**(-5\/6)*c**(-1\/4)\/(c\/c**(-1\/2)) assuming c is positive.\nAnswer: c**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -434*k + 434*k + 2*k**2. Let i(a) = 10*a**2. Give d(i(m)).\nAnswer: 200*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 + -596 + (-79)\/(7 + -8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -4\/13, 2\/17, 2, 0.987 in increasing order.\nAnswer: -17, -4\/13, 2\/17, 0.987, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1432 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244 and 41846?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 5*d**2 + 5*d + 6. Determine j(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1131*t**3 - 4690*t**3 - 2758*t**3 - 579*t**3.\nAnswer: -6896*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 10100*r**2 + 748435*r - 738340.\nAnswer: 5*(r - 1943)*(r - 76)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 26, 90, 218, 434, 762, 1226?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + -4 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5749447310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from vqeeefv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -911 + 918. Let k(f) be the second derivative of 15*f**3\/2 + 8*f**2 - f. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 42. Let u = w + -10. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42542.38ml to litres.\nAnswer: 42.54238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -93?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:06 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17604 = 673*r - 619*r. Solve 12 = -r*o + 322*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 534 + -530. Solve -x*y + y + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11110011100010?\nAnswer: 11110011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, u: 18}. What is prob of sequence uiuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) 2\/9 (c) -2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/((-1)\/(-2)). Suppose 12 = r - i*r. Let q be (-15)\/(-6)*r\/(-5). Is 2\/3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 12*x - 30. Let c be i(-5). What is the remainder when (-12)\/20*(-235 + (10 - c)) is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the third root of 254492 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15445797 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202716 is divided by 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/19 - 168923564*f\/19 - 3566896309307762\/19 = 0 for f.\nAnswer: -42230891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (10 + -6) - (4 - -1) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, 6, -4, -20, -42, -70?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**2*b + 5*a**2 - 23*a*b - 76*a - 9966*b + 3065 wrt b.\nAnswer: -5*a**2 - 23*a - 9966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 5?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 854*q + 515. What is the hundreds digit of n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 0 = 5*u - 23, 4*u - 16 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 + 6*w - 20*w**3 - 2*w - 4*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.41905 to one dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*l - 4. Let g be 18\/(-4)*l\/3. Let k(d) = -d + 5. What is k(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.142 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-8 - (-2 + -7 + 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4089906 + 4364*j - 4089906 to the form a*j + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -78.49 and 949.\nAnswer: 870.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:51 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 2. Let l = u - 14. Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*q**3*w**2 + 2*q**3*w + 6*q**3 + q**2 - 6877*q*w**2 wrt q?\nAnswer: 306*w**2 + 12*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1115*q + 1118*q - o + 25, 4*q + o + 38 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12675 != 164758\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69989 or 70262?\nAnswer: 69989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77.9 + -74. Round c to 1 decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1106 (base 7) to base 14.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*o - o + 24, 0 = -t - 4*o + 26. Suppose -5*h = t, -b - 32 = -h - 84. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(3 - 51\/18). Let j(d) = -91*d**2 - 7*d + d**3 - 2*d**3 - h + 99*d**2. Determine j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12544651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -4, 0.03, 7, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4288.9 rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ubwpvpbphuuppppwbbpb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 - 4 = -12 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbx. Give prob of sequence bq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let a = 4 + o. Let i = 1178 - 1148. What is the highest common factor of i and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19081072 equal to 19081076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113059.3 * 3\nAnswer: 339177.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26347*j**3 + 24*j**2 - 6*j - 29 wrt j.\nAnswer: 158082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(12) + sqrt(12) + -2*sqrt(72)\/sqrt(6) + sqrt(12))\/sqrt(6))**2 + 6*(sqrt(32) + -1 + -4).\nAnswer: -3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -100920 at least -100920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101100 - -110000101010101101110?\nAnswer: 110000101011011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7 - 5. Suppose 37*w - 46*w = -126. What is the least common multiple of w and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 845393940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n + 324*n - 99*n = -3780 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 48*p + 8. Let y be f(24). Solve 51*k = 55*k - y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1285*j**2 + 5*j - 1831. Let i(b) = 1928*b**2 + 7*b - 2746. Let o(n) = -5*i(n) + 7*z(n). What is the first derivative of o(g) wrt g?\nAnswer: -1290*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 34*j**2 - 2*j - 57. Let d be y(-34). Solve -b = -3*o + 11, -d*o + b = -12*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -1*sqrt(132))*5 + -3*-4*sqrt(132))\/(-2*2*sqrt(192) + sqrt(192) - (sqrt(192) - sqrt(192)*-1)*-1).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5 + 6 - 2*q**2 to k*q**2 + u*q + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4890280667.\nAnswer: 19, 59, 4362427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15386 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -143698, -143696, -143694, -143692, -143690, -143688?\n\"Answer: 2*k - 143700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36967863521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 99. Let t = 44 - s. Let i be (-42)\/(-49)*14\/(-11). Is i greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + q + 3. Let j be w(4). Let f = j + 18. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 + 2*a - 1. Let r be s(1). Let v = 1.869 + 0.131. Let i = -2 + 1.7. What is the biggest value in i, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t - t**3 + 2 + 9\/2*t**2. Factor z(i).\nAnswer: -3*i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daz when three letters picked without replacement from {a: 1, z: 7, u: 2, b: 4, d: 2, p: 4}.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(198)*2 + sqrt(22))\/((sqrt(110)*-2 + sqrt(110) - sqrt(110))\/sqrt(10) - sqrt(11))*-6.\nAnswer: 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h - 6*h - 4 + 5 - 33 - 8.\nAnswer: 18*h - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 2:11 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 k, and 1 r when four letters picked without replacement from {a: 1, k: 2, r: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 3333?\nAnswer: 133320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**3 - 79*s**2 + 14 wrt s?\nAnswer: -3*s**2 - 158*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 1:15 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/3 - 7\/6. What is the nearest to y in 0.2, -0.3, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202122112200 (base 3) to base 8\nAnswer: 1431661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(10\/((-10)\/(-2))). Let p(l) be the second derivative of z*l**4 + 0*l**3 + 3\/20*l**5 + 0 - 3*l - 2*l**2. What is the derivative of p(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55536 divided by 1424?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 25. Suppose -w*f = -4*a - 134, -f - 8 = -4*a - 38. Solve -b = -4*l + 15, 3*l + 2*b - f + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*q + 50 - 50)*(-6*q**3 + 0*q**3 + 3*q**3)*(1 + 1 - 3) in the form j*q**4 + n*q**2 + c + m*q + i*q**3 and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 1 + t + 8*t)*(13*t - 1445 - t + 1445).\nAnswer: 180*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 41609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 20*v - 7. Let m be n(-20). Is 56 a factor of 63*-8*m\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/9 + 26538218*m**2\/9 + 88034613557830*m\/9 - 88034640096050\/9 = 0?\nAnswer: -6634555, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 498311879 a multiple of 1375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 1367*s - 3. Let l(w) = 2*w**2 - 2*w - 1. Give b(c) - 2*l(c).\nAnswer: -c**2 - 1363*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 551*l**2 + 70*l - 68. What is the least common multiple of 474 and h(1)?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 462 = 2*o + 312, 0 = t + 3*o - 190. Round t to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 2:47 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/20 + 2*q**4\/3 - 4*q**3\/3 - q**2\/2 + 9*q. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/44*((-561)\/44)\/51.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 683 = -3*q, -q + g + 119 = -97. Calculate the remainder when q is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1467.805223 rounded to the nearest ten?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 45*l**2 + 24*l + 27. Let w be a(-23). Solve 18*g - 20*g = -w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h**(-23)\/h)\/h*h))**(5\/2)\/(h**(-2\/3)*h\/(h\/h**21)) assuming h is positive.\nAnswer: h**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(540\/(-1326)) - -7 - 0)*(-152)\/1254?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 504968412 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-36))\/(9\/(-84))*-6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1644 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11.91+-300\nAnswer: -311.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/11)\/z*z**(-18)\/z assuming z is positive.\nAnswer: z**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 10*o**3 + o**2\/2 + 3*o - 85. What is the remainder when h(3) is divided by 72?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from aqaqqqqa.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 22090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:23 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 + 41597.\nAnswer: 41605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:44 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901030010?\nAnswer: 2, 5, 3821, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 4)*(6 - 5*c - 6 + (-c + 2*c + 2*c)*(2 - 3 - 3)).\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2424*v + 2104*v - 4562*v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49550205 by -5.\nAnswer: -9910041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 5, w: 1}. Give prob of picking 2 s and 1 w.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -349*m**6\/40 - 5*m**4\/12 - 35*m**3\/3 - 3038*m**2. What is the second derivative of p(u) wrt u?\nAnswer: -6282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46100 times -4?\nAnswer: -184400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 355, -5, -3, 0, -4 in decreasing order.\nAnswer: 355, 1, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + 4 = 0. Suppose 0 = j*m + 2*m - 148. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxmx. What is prob of picking 1 d and 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:01 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-27))\/(10\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bolokxbcboxl. Give prob of picking 1 k, 1 x, and 1 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 7\/3*d**4 + 2\/3*d**2 - 1\/3*d**5 - 14\/3*d**3 - 3 + 5*d = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 778\/5. Let n = 5192 - 5185.246. Let m = n + 0.246. What is the fourth biggest value in m, 1\/6, f, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*o**2*r - o*r**2 + 1566*r**2 with respect to o.\nAnswer: -538*o*r - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10905100*m**3 + 93*m**2 - 566*m - 1 wrt m?\nAnswer: -65430600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 17*h + 17. Is o(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4221.\nAnswer: -1\/4221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 42*j**2 - 1004*j + 36980. What is k(40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42454278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*d + 13 - 6, 2019*d = 5*j + 2030*d + 50 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-5*sqrt(36)\/sqrt(4)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*a + 84*a - 1 + 71*a to the form b*a + x and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 2. Let j(d) = -377. Let u(p) = -226. Let s(y) = -3*j(y) + 5*u(y). Determine r(h) + 6*s(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzeeeeekzzkezzezz. What is prob of sequence ekzk?\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3827 divided by -3827?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18.27, -0.6, 334, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -5, -3, 2.82, 3.8, 3\/4, 11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 + 2*w - 2. Let r be k(-2). Suppose 0 = -0*h + r*h - 48. What is the units digit of ((-1048)\/(-3))\/h*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*1\/(-3)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73147 is divided by 625?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 28. Suppose h*g - 453 = 4*g. Suppose 4*y - g = 251. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30903940?\nAnswer: 2, 5, 181, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 833 in descending order.\nAnswer: 833, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:21 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 13832 = 30*z. Calculate the remainder when z is divided by 77.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12389488 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -22*v + 2106. Calculate s(84).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*c + 34 = 0, 4*q + 3*c = -3 - 0. Let a(z) = 2*z**2 - 5*z + 2. Let b be a(q). Find the common denominator of b + -7 + 31\/(-6) and 93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 29*i - 54. Let y be s(27). Let a(v) be the first derivative of 2\/3*v**3 + y*v**2 + 0*v + 2. Let c(p) = 5*p. Determine c(a(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67639 is divided by 1679?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-8 - -8) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, 2, 0.2, 510\/19, -11 in ascending order.\nAnswer: -11, -2, -1\/2, 0.2, 2, 510\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15007\/4 + -3751. What is the nearest to -1\/5 in 0, 0.2, i, 13\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 + 6\/(-30)*(-29030)\/4. Calculate the highest common divisor of i and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 56 = -200 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334 - 156*f + 334)*(-1 + 1 + 3*f).\nAnswer: -468*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t**2 + 699*t + 236. Let b be v(78). Solve 2*s = -4*w + 19 - 3, 16 = -3*s + b*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -809325.72 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2. Let t(v) = -2*v + 3439. Calculate t(b(u)).\nAnswer: 6*u**2 + 3439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/(-400) + (-217)\/(-280)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - 14 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 4*a - 4. Let c(x) = x**3 + 3*x**2 + x + 3. Let f = -4 + 1. Let o be c(f). Let g = -3 + o. What is p(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125044 and 216032.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -1598, -3599, -6398, -9995, -14390?\nAnswer: -19583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1478? (a) 20 (b) -0.02 (c) -2\/11 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 11 = -18*d - 7*h, -3*d = -h - 27. Solve -g = 5*c + d, -4*c + g - 13 = -12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 573\/5. Let a = 6.4 + -6. Do t and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 84937020.60219?\nAnswer: -84937022.60219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/13)\/l*l\/((l\/((l**(6\/13)*l)\/l*l))\/l))**22)**(-1\/30) assuming l is positive.\nAnswer: l**(-77\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdn when four letters picked without replacement from {d: 3, j: 1, o: 2, n: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozoz when four letters picked without replacement from ozzzzzzzzzzozoz?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243917 is divided by 340?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 12111111?\nAnswer: -12111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -154, 3\/2, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241800 by 2.\nAnswer: 120900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00085864 rounded to six decimal places?\nAnswer: 0.000859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674486 is divided by 1049?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -28. Suppose 2 = -5*d + f. Find the second derivative of 3*z + z**2 + 0*z**d - 4*z - 3*z**2 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 4*w**3\/3 + 13*w**2\/2 + 9*w - 24. Let m be d(-3). Solve -m*t = -5*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53022.\nAnswer: 2, 3, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 - 2*m**2 + 23*m - 43. Suppose -5*i = -r + 46, r - 31 = 2*i - 0*i. What is the least common multiple of r and h(2)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 + 1111100?\nAnswer: 1121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-70) + (-2)\/60\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 51\/34 - (-12675)\/2 - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3888212 divided by 2.\nAnswer: -1944106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 54, 82, 112, 144, 178?\n\"Answer: r**2 + 23*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40914.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4749 and 0.1.\nAnswer: -474.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -13*k**5\/30 - 2*k**2 - 18*k - 19. Let y(i) = -117*i**2. Calculate y(j(x)).\nAnswer: -79092*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18002*g**2*h**2 - 278*g**2 - 225*h**2 + 68184*h wrt g.\nAnswer: -36004*g*h**2 - 556*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 225*t**3 - 16*t**4 + 1318*t - 26*t**4 + 6*t**4 - 1030*t - 3*t**5 + 546*t**2 = 0.\nAnswer: -16, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6*z - 243507897 = 0. Let y = -21226862 - -38853295. Let n = z - y. What is n rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -357460.199352 + 357464. Let s = g - 3.8. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 33*k**3 - 26*k**3 - 5*k**2 + 6*k**3 - 15*k**3 as x*k**2 + q + l*k**3 + p*k and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (304\/285*15)\/(12\/18)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**2\/5 + 68*c\/5 + 12.\nAnswer: -4*(c - 5)*(4*c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011212022100 + -2?\nAnswer: -21011212022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*((sqrt(171) - ((sqrt(171) + sqrt(171)*1 - sqrt(171)) + 4) - sqrt(171)) + sqrt(171)) + (sqrt(171) + 2)*5*-1) + -4)**2.\nAnswer: -900*sqrt(19) + 106911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(12\/11)\/p*p*p)*p)\/(p**(-9\/2)\/p))\/((p\/p**(-1))\/(p\/p**26*p)) assuming p is positive.\nAnswer: p**(-475\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 1)\/((-3)\/(-10)). Let g = -2.3699 + -0.0301. Let k = 1.6 - g. Which is the biggest value? (a) -5\/3 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104098 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -75, 474, 1 in decreasing order.\nAnswer: 474, 3, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2 - 1794*u + 268203 = 0.\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 55. Differentiate 103548*n**2 + 187 - 69*n**3 - 103548*n**w wrt n.\nAnswer: -207*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4573, -4571, -4569, -4567, -4565, -4563?\n\"Answer: 2*h - 4575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 898 - 352. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6 + 8 - 9 - 84*k.\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 327948?\nAnswer: -327959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let m(x) = 1 - 3*x - 4*x + 9*x. Give 4*m(k) - 4*q(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.76 - -66. What is d rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18212 divided by 116.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) 3 (c) -19 (d) 881\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -3. Let o(k) be the first derivative of -9*k**2\/2 + 7*k - 200. Let t(p) = -4*p + 3. Let i(j) = m*t(j) - 3*o(j). Let f(g) = -9*g. What is f(i(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28135\/6 - 44\/264.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2 + 5 + q + 5. Let d be o(-3). Suppose -178 = -2*s + d*t, -4*s + 5*t + 342 = 2*t. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432416 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 63*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 5*l + 55. What is the hundreds digit of y(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 28. Let l = -24 + 29. Let h be g(l). Suppose 1 = -m + 6. Solve 2 = 2*p + 10, x - m*p - h = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23911*o**2*t**3 + 257*o**2*t**2 - 1217*o**2*t + 3*t**3 wrt t.\nAnswer: 143466*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -162594, -325186, -487770, -650340, -812890?\n\"Answer: p**3 - 2*p**2 - 162593*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 15)*(-2 - 7*z + 2)*(2*z - z + z) - z**2 - 2*z**2 + 5*z**2 + (-z + 1 - 1)*(-3*z + 6*z - 2*z).\nAnswer: -111*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by ((-6)\/4)\/((-21)\/140)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 299, 301, 303?\n\"Answer: 2*y + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + y**2. Let x be p(-1). Suppose -198*z + 70 = -205*z. Let t be (-9)\/60*z*1\/54. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b*b**(-2\/13)))\/b))\/b*b**(1\/7))**(-40) assuming b is positive.\nAnswer: b**(40\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 409599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 1 + 1. Let h(s) = -2*s + 3. Let k be h(o). Factor w**k + 1\/2*w**4 + 0 - 1\/2*w**2 - w.\nAnswer: w*(w - 1)*(w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d**4 - 38*d**4 + 7*d**4)*(d - 4*d + d).\nAnswer: 92*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 985235 by 197047.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*2 - (sqrt(448) + (sqrt(448)*2)**2)) + -5.\nAnswer: -1797 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 373779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 452 (c) -1\/20 (d) 1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j - 1068 = -24*j + 1703 - 683 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -158*q + 8 - 161*q + 316*q - 8. Let m(n) = -21*n + 13. Let g be (1 - (1 - 13)) + 0. Let i(w) = 10*w - 6. Let x(o) = g*i(o) + 6*m(o). What is x(j(p))?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93062 or -93076?\nAnswer: -93076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 7057\nAnswer: 2\/7057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -68163557 and -68163558 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 8*m - 84 = 0. Let r(g) = -3*g**2 + 4*g + 4. What is r(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -56*p + 897. Determine t(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4991 = -78*c - 3199. Sort c, 3, 0.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = c + 2*v - 2, 5*c - 25 = 4*v. What is the nearest to c in 1\/6, -4, 9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 8. Let o be (0 + 6\/3)*-5. Let y be x(o). Suppose -4*q + 22 = 3*h - y*q, 5*h - 15 = q. Calculate the highest common factor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 - -89 - (5 + -28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 8*x**2 + x**2 + 6*x**2. Let q(z) = 6*z**2. Calculate q(a(f)).\nAnswer: 150*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 + 9.17. Let d = -8 + c. Let j = 16 - 16.3. What is the closest to d in 3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 27\/(-45))*-5 + -15?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, 3, 1, 232, -3 in decreasing order.\nAnswer: 232, 16, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -73. Suppose -6 = -d - d - 4*i, i + 9 = q*d. Differentiate l**2 + d*l**2 + 11*l**2 - 21 - 11*l**2 wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302\/49 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2776 and 12632882.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -14\/3*u**3 + 1\/2*u**2 + 0*u + 11. What is the second derivative of c(p) wrt p?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**5 - 10*d**2 + 5*d + 81.\nAnswer: -280*d**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 36 + 55 + 14*a**2 - 21 to the form c*a**3 + g + l*a**2 + s*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520.3 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 + 19136*v**4 - 21174064*v**3 - 4168849096*v**2 - 4105231180*v + 8295235208 = 0. What is v?\nAnswer: -169, -2, 1, 2477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10\/159 (b) 0.34 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4085934143?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/7)*g)\/g*g**6*((g*g\/(g*g**0\/g*g))\/g)**(-10\/13))\/(((g\/(g*g**(-1)*g*g)*g)\/g*(g\/(g\/g**0))\/g)\/(g\/(g**1\/g)*g**2*g)) assuming g is positive.\nAnswer: g**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, l: 2, j: 4, e: 2}. Give prob of picking 2 e and 2 k.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*t - 2*x - 2*x, -3*x - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*l + 2795, 0 = 5*c + 2*l - 4274 - 9749. Suppose -3*n - 5*i = n - 15771, i - 7887 = -2*n. Let t = n - c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*x - 2, 8 = 2*x - 5*m - 2. Let k be x\/((0 - 2)*-1). Does 9 divide (k\/2 - 3) + 72 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4\/(-5))\/(4\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 0. Suppose 5*f - y = y - 8, 5*f - 5*y + b = 0. Let a be (-3)\/(-9) - (-14)\/3. Put f, -9, a in increasing order.\nAnswer: -9, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843, -1616, -2231, -2610, -2675, -2348, -1551, -206?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 72*c**2 - 551*c + 21. Let l be s(-7). Suppose 12 = -2*h - 3*w, -5*w - 6 = -2*h + 14. Solve h = -18*o + l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1328 and 1.68.\nAnswer: -1326.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*a + 194*a = 0, -c + 4 = 8*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152364075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -2004?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 k when three letters picked without replacement from qkqwbqwwqmqqqwqqkq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:40 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 - 4560977*z = 0.\nAnswer: -4560977\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/88 and -68\/759?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (6 - -1) + 43 - 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.605 and 384517.5133.\nAnswer: 384518.1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 40*x + 179. Give b(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g**2 + g)*(-8 + 5 - 3) - 53*g**2 + 74*g**2 + 19*g**2.\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 50, 0.02, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let g be (-2)\/(-4) + (-1)\/1. Let u be 5\/((-1 - -1) + -3). What is the third biggest value in g, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 695.68 - 691. Let v = q + -5.68. Which is the closest to -2? (a) 21 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:21 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(3\/4))*b\/b**(-3\/5))**(-2\/105) assuming b is positive.\nAnswer: b**(-47\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001804 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10768, -21534, -32300?\n\"Answer: -10766*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.832 and -1.26.\nAnswer: 1.04832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10870*i**3 + 16*i**2 + 59*i + 3. Let j be q(-3). Round j to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7*c - 11*c - 26, -5*j - 15 = 5*c. Sort 3, j, -190 in decreasing order.\nAnswer: 3, j, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 4*k - 2. Let r be s(-2). Let f(m) = -r + 5 + 2 + 5*m. Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9456 and -9\/224.\nAnswer: 132384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*j - 778*f*j + 11513*j wrt f?\nAnswer: 4*f*j - 778*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 - -263. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -3, -0.22, 1\/3, 25\/17 in ascending order.\nAnswer: -3, -0.22, 0.1, 1\/3, 25\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*a*t**6 + 4*a*t**2 - 8183*a*t - 22*a - 435183*t**4 - t**3 - t**2 wrt t?\nAnswer: 2880*a*t**3 - 10444392*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 75. Sort j, 0.03, -0.5, 4 in ascending order.\nAnswer: j, -0.5, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i = -6*u + i + i - 178, -3*u - 3383361 + 3383263 = 4*i for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 10667458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10306 + 68*q**3 - 10306)*(2 - 10*q + 10*q - 25*q**2).\nAnswer: -1700*q**5 + 136*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 5*m - 2 - 3*m + 0 + m as g*m + i*m**2 + b + r*m**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/3 - 10*t**4\/3 + 37*t**3\/3 - 64*t**2\/3 + 52*t\/3 - 16\/3 = 0 for t.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*i + 106*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from fbtftttttctttt.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o - 1. Let q be h(-1). Suppose p - 2*m = 3, -q*p + 4 = 5*m - 8. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6695 and 3603970.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6477974 * -15\nAnswer: -97169610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = g - 2210, 0 = -3*g + 2*g - 5*t + 2196. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c - -4c5c83?\nAnswer: 4c6102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3 = -3*u, u = 2993*q - 3022*q - 173 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 111645*p**3 + 16540*p**2 - 33080*p - 49620. Let u(b) = -7*b**3 - b**2 + 2*b + 3. Determine -h(y) - 16540*u(y).\nAnswer: 4135*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -21247656 and -21247654 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 5, -27502.\nAnswer: -27502, -42, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1540*r**5 - 8*r - 33?\nAnswer: 30800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 235378 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.25 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 50304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191604727 less than 526?\nAnswer: -191604201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 204744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10051, 12102, 14153, 16204?\n\"Answer: 2051*k + 8000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -958 - -6704\/7. What is the nearest to 2 in m, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3049*h**4*z - h**4 - 5*h**3*z + 11*h**3 - 3*h**2*z - 2*h**2 - 6559*z - 170 wrt h.\nAnswer: -73176*h*z - 24*h - 30*z + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-25) - 61\/(-110).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18325 + -19730. Is j > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 4*o + 6. Let m(p) = 2*p**2 - 3*p - 5. Let w(n) = -9*n**2 + 14*n + 24. Let f(c) = 11*m(c) + 2*w(c). What is -5*f(d) - 6*l(d)?\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17 + (2\/(-16) - 23\/8). Suppose 0*a = 5*h - 3*a - 31, -d = -4*h - 3*a. Solve 2*y - 2 = -2*k, -4*y - 1 - h = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Suppose d = -4*k - 4*z + 36, -k - 4 = -3*z - 1. What is the highest common divisor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(-42))\/((-1)\/(-4)). Suppose 8 = -4*h + 2*h. What is the closest to k in -2, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/10 - r**3\/2 - 7*r. Let b(w) be the second derivative of m(w). Let o(d) = -2*d**2. Give b(o(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((792\/55)\/(-8))\/((-1)\/(-5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593334?\nAnswer: 2, 3, 7, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160257893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159368 is divided by 684?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (837 + 337 + 2608 + 10200)*(l**3 - 3*l**3 + l**3).\nAnswer: -13982*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 6. Let t be x(4). Let c(h) = -2*h + 3. Let r be c(-4). Let u = -9 + r. Solve -5*w + u = -2*y, -4*w = 3*y - y + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 3\/3*357\/17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78776052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134862 a multiple of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -85.4142 * 5\nAnswer: -427.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -446*y**3 + 7*y**2 + 3*y + 3. Let v(c) = -1311*c**3 + 20*c**2 + 7*c + 8. Give 8*p(j) - 3*v(j).\nAnswer: 365*j**3 - 4*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -2 (c) 2.542 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 - 65 + 3643*u**2 + 141.\nAnswer: 3643*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 339, 351, 363, 375?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(105)\/(sqrt(15)\/sqrt(3)))\/(sqrt(300)*2))**2 + -3.\nAnswer: -593\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a - 3. Let r be -8*(-8)\/(-56)*77\/(-22). Let w(g) = -g**3 + 3*g**2 + 5*g + 1. Let s be w(4). Sort r, -3, a, s in increasing order.\nAnswer: -3, a, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. Suppose b*u - 10 = -2*u. Suppose u*z = 4*z. Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546549 is divided by 1978.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.03 - 3. Let x = v - 2.03. Let j = -3 - -3.2. Which is the closest to -1\/4? (a) x (b) -1\/10 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 4\/17, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.730688856 to 2 decimal places.\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164802*p*t**6 + 11*p*t**4 - 110*p*t - 2212*t**2 + t wrt t.\nAnswer: -19776240*p*t**3 + 264*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33235 and -2170.\nAnswer: 72119950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(sqrt(13) - (sqrt(13) - (-1 + sqrt(13))))*-4)**2*4.\nAnswer: -128*sqrt(13) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 546 = 1088 - 542. What is the closest to 0.1 in -1\/5, w, 1, -103?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {x: 2, g: 1, p: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:51 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*p + 87*p + 114*p + (-5 + 3 + 1)*(-p + p - p) in the form w + t*p and give t.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(567)*6 - sqrt(567) - sqrt(567))*-3 + -4)**2.\nAnswer: 3456*sqrt(7) + 1306384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35096, -140908, -317404, -564584, -882448?\n\"Answer: -35342*q**2 + 214*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 c when three letters picked without replacement from cfscgmcsccgccgcccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Let n(i) be the second derivative of 0 + 0*i**2 - 1\/6*i**3 + 6*i. Give j(n(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216338 is divided by 32007.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.1 (c) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 52. Calculate the smallest common multiple of c and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1658169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - (sqrt(12))**2) + -2*(sqrt(3) + 1 + sqrt(3)) - (sqrt(9)\/sqrt(3) + 3 + 5).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 + 756*x + 759*x + x**3 - 2 - 3*x**4 - 1516*x to v*x**4 + l*x + t*x**2 + g + i*x**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644 - 642. Solve -f = -l + 1, -5*l + l - s*f + 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 28*p - 78. Let j be a(3). Let g(q) = -q - 9. Let z be g(-3). Let u = -4 - z. Solve v + u*v = j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-12)*-4*-3. Let d = 21 - -59. What is the highest common divisor of d and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 17, -3.\nAnswer: -4, -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6251575?\nAnswer: 5, 11, 127, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 18 + 12 + 24 - 14 + 2*r. Let k be p(-17). Suppose k*x - 220 - 14 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37, 34, 153, 320, 535?\n\"Answer: 24*j**2 - j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 1\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -3*k. Let o be (k\/(-3))\/(4\/36). Let u = 2 - o. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 greater than or equal to -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g - 16. Calculate q(-11).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4\/(-6) - 152\/24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-4420))\/(2364\/(-6698)).\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = -6. Let p = 89.1 + -88.2. What is the third biggest value in j, 3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1121407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -8. Let m = -1 - l. Suppose -m*r = 5*i - 2*i - 285, 4*i = 3*r - 306. What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*4\/(4\/(-7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 462870136*n**3 - 565198146?\nAnswer: 1388610408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**4\/4 - 3*n**3 + 7. What is the third derivative of i(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010 (base 2) to base 8\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2. Let r(a) = 312*a. Calculate r(j(q)).\nAnswer: 2496*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-3)\/3) + 2. Let w(b) = -3*b - 18. Suppose -2*z - 12 = v, 6*v = 5*z + 5*v + 37. Let h be w(z). Solve h*s - 2 + 5 = -t, -s = y*t - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15003973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2.291. Let q = -7.6 + 7.5889. Let k = q + h. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 1\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, h: 3}. Give prob of sequence hnl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -j + 2165 + 657, 0 = -4*v - 12. Suppose 3*u - 4*o - j = o, 4*u - 4*o = 3772. What are the prime factors of u?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -40. Let g be (-6 + 4)\/(1\/(-17)). Suppose t = -4*v + 3*h, -3*v + 2*h + 3*h = g. Which is the third biggest value? (a) 0.5 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31145 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: What is 63 minutes after 2:43 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -12*d. Let f be w(-14). Suppose -5*x - g - f + 549 = 0, 5*x - 384 = -4*g. Suppose -18*v + 17*v = -x. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 - 201 = -2*u, -2*k - 37 = -22*k - 3*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/234 and -121\/186?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140434 (base 5) to base 7.\nAnswer: -22514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 1076*p**3\/3 - 961*p - 5354. What is the derivative of v(k) wrt k?\nAnswer: 2152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*o = -962*o - 5520 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 269*x**2 - 881*x**2 - 585*x - 926*x - 4*x**3 + 303*x = 0?\nAnswer: -151, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 12 = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 + 2 = 0. Let l be 13\/(-1)*-16*(-9)\/d. Calculate the highest common factor of 39 and l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19088?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*x - 57 = 0, 0 = -2*p + 542664*x - 542660*x + 42 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8548 + -8544. Calculate the smallest common multiple of z and 502.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 715?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922433?\nAnswer: 101, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + (-116)\/(-24). Suppose -4*u = -2*d + 28, -4*u - 5 = d + x. Suppose d*r - 169 = 317. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -76aa?\nAnswer: -76ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 647011301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 402058 - 401881.361. Let u = h - 177. Let d = u + 0.3610213. What is d rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 68 - 218. Let n = -22 + v. Solve n + 3 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h - 106. Let k(w) = 32*w - 103. Let b(i) = -6*k(i) + 5*n(i). Let g(r) = 3*r**2. Calculate b(g(m)).\nAnswer: -81*m**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -6*n**5\/5 - n**3\/3 - 5. What is the third derivative of k(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306145 is divided by 4575.\nAnswer: 4195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11779.\nAnswer: 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 4*x - 22, -5*x = 7*a - 2*a - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*-3 - sqrt(448)) + 4)**2 - (0 + (sqrt(448) - (4 + sqrt(448))))**2.\nAnswer: -256*sqrt(7) + 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 0.17307, 28, 2\/7?\nAnswer: 0.17307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 + d**4*y + 6*d**3*y + 3*d**2*y - 7*d wrt d?\nAnswer: 120*d**2 + 24*d*y + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5091271674?\nAnswer: 2, 3, 23, 157, 234989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -184124? (a) 3 (b) 3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/10)\/(156\/(-195)))\/((-2)\/(-62)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 - j - 15. Let z(f) = -22*f**2 - 5*f - 60. Calculate 9*i(g) - 2*z(g).\nAnswer: -g**2 + g - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1612 = -4*j, -1692 = -7*j - o + 1154. Calculate the remainder when j is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.05, -158, 40, -2, 2, 64?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 3, n: 1, f: 9, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - (-4 + 4 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - (103 + -52)) + -18.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from affkabdffaxffakakkf?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*n - 38, 4*n - 16 = -2*w + 62. Let z be w\/85 - (-9)\/(-15). Let j be (-3)\/(-30)*30\/8. What is the third smallest value in z, j, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/37)*w\/(w\/w**(-20\/9))*w assuming w is positive.\nAnswer: w**(-371\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -91 (b) -0.223 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 242?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -18. Let u(b) = -3*b - 4. Let o be u(9). Let i = f - o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2. Let i = 5 - 8. Let k = 4 + i. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*21\/(-14))\/(9\/8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1, 4373, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368 - 79. Suppose -2*n + i - 117 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.41 + -0.59. What is the second smallest value in -229, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 2. Let j(r) = -r**3 - 5*r**2 - 2*r - 3. Let p be j(-5). Let a = -5 + p. Let v be q(a). Solve -3*x = 1 - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 (base 6) in base 15?\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277.7 + -338.6. Round v to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 116072*r**2\/5 + 417843*r\/10.\nAnswer: r*(r + 46427)*(5*r + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-13)\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 12:04 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q + 5972 + 5081 = 9453 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51542 (base 6) to base 12.\nAnswer: -3bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -169*s + 9\/2*s**2 + 0 - 1\/2*s**3. Suppose 2*w - w = 6. Determine v(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229338511 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 868 or 866?\nAnswer: 866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1466 + -0.0445. Let g = v + -410.6021. Round g to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 434363411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/1219, 2\/73, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1241, -1224, -1171, -1064, -885, -616, -239?\n\"Answer: 3*c**3 - 4*c - 1240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 17 + 7. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53522 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-6*2*((-132)\/12)\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000155918 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/30508 and 51\/52.\nAnswer: 396604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7244, 29006, 65284, 116078, 181388, 261214?\n\"Answer: 7258*p**2 - 12*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*v**3*w**5 - 26197*v**3 - 2*v*w + 177*w**5 wrt w.\nAnswer: 920*v**3*w**3 + 3540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4)\/z)**(4\/13)\/((z\/(z\/(z**(1\/3)\/z*z)))\/(z\/(z\/(z**(-5)\/z)))))**(9\/10) assuming z is positive.\nAnswer: z**(-366\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/8 - 3*t\/4 - 5\/8 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 2, d: 2, c: 2, m: 8, t: 1}. Give prob of sequence km.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r**2 + 4\/3*r + 0.\nAnswer: 2*r*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121112 + -220222?\nAnswer: -20112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = c. Let v = -5\/2 - c. What is the closest to -0.1 in v, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let w(g) be the first derivative of -4 + 1\/3*g**3 + 0*g**2 - 3*g. Let k(x) be the first derivative of w(x). Determine o(k(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(110) - (sqrt(110) - (sqrt(110) - -2*sqrt(110)*-2)))\/(sqrt(490)*2).\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (6 - (17 - (-7 - -9) - 11))) + -34.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 186\/11, -2\/69, -1, -0.4, -5 in increasing order.\nAnswer: -5, -1, -0.4, -2\/69, 5, 186\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128425539.\nAnswer: 3, 11, 3891683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353043 (base 7) in base 15?\nAnswer: 13c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649302 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: In base 8, what is -1115 + -246650?\nAnswer: -247765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63880 * -3.\nAnswer: -191640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3022 + 2*u**2 + 2*u - u**2 + u**2 + 3022 + 3521*u**3 in the form s + w*u**3 + o*u + j*u**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(156) - (-1*sqrt(156) + sqrt(156))))\/sqrt(12) - (1 + sqrt(1053) + 1))**2 + ((sqrt(39) + (sqrt(39) - 3*sqrt(39)))*3)\/(sqrt(18)\/(sqrt(6)*-3)).\nAnswer: 49*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9060?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 157. Let i = -1052 + 1052.2. What is the third biggest value in 4, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205.99 + 0.9915279.\nAnswer: -204.9984721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 233*q - 354*q + 1.\nAnswer: -587*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:00 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-63))\/(1\/7). Solve t*j - 12 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b + 7180. Let f be (-8)\/(-36) + b\/18. Suppose c + 2*c - 30 = 0. Calculate the highest common factor of c and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5092 and 44071796?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 512, 702, 892?\n\"Answer: 190*t + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -3\/2, -6, -4, -64 in ascending order.\nAnswer: -64, -6, -4, -3\/2, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 838.1 - 837.4. Let t = 0.5 + -0.47. Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143609123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*t + 20 = 0, -3*g + 0*g - 5 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 - 10 = 0. Suppose -i + 2 + j = 0. Solve -i*k = -4*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 + -0.4. Let c(f) = -f**3 - 10*f**2 - f - 8. Let n be c(-10). Put b, -5, n in increasing order.\nAnswer: -5, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -16. Let d(o) = 5*o**2 - 4*o**2 + w*o**2 + 2*o**2. Let b(i) = 2*i. What is b(d(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let z(y) be the third derivative of y**5\/30 + 5*y**4\/24 + 7*y**3\/6 + y**2. Let a(c) = -q(c) + z(c). Calculate a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 - n - 6 - n. What is the units digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2. Let y(j) = -3142*j - 20. Let u(a) = -1571*a - 8. Let l(g) = -5*u(g) + 2*y(g). Calculate l(b(z)).\nAnswer: -1571*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 162 - 22. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42638*f**2 - 41294*f**2 - 159712*f**2 - 88003*f**2.\nAnswer: -331647*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(2*q**2 - 2 + 2) + q**2 - 2*q**2 + 4*q**2 - 4*q**2 - 2*q**2 - 5*q**2 + q + 3*q**2 - 3*q**2 + 2*q**2.\nAnswer: -4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 6 + 108*m**4 + m - 106*m**4 + 0*m**3 in the form v*m**3 + q*m**2 + y*m**4 + h + b*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50536*b**2 + 34223*b wrt b.\nAnswer: 101072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*(26 + 2). Round p to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 178 = 4*n - 64, 4*j - 3*n = 91. Suppose -4*y + 3*q = -102, -6 + 2 = -2*q. Calculate the smallest common multiple of (-168)\/(-27) - 6\/y and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267643.813 minus -1.5?\nAnswer: -267642.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 423*s**5\/10 + 7*s**4\/12 - s**3 - 161*s. Find the third derivative of z(q) wrt q.\nAnswer: 5076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -2)*(-3)\/(-15). Let z be (-4)\/(1 - (3 - l) - 0). Solve 4*g = -5*d - 13, 7 = -z*g - 2*g + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 12 + 37 - 29. Determine v(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 8, m: 2, h: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*r**2 - 136*r - 4.\nAnswer: -(r + 2)*(67*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 3, x: 2, n: 6, f: 3}. What is prob of sequence xw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1442\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*w - 13, 3*w + 12 = 4*y - y. Suppose -32 = -3*u - 5*c, -u + 5*u - 28 = -y*c. Solve u = -2*r + 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1363.46768*-0.5\nAnswer: 681.73384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {f: 2, s: 1, o: 1, g: 1, i: 2, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.1 + 54.1. Let s = h - 40.85. What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -y, -256 = 274*j - 340*j - y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 18. Let r(h) = -h - 1. Let q(n) = -12*r(n) - v(n). Let u be q(-7). What is u rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30814974737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -1\/2*f**2 + 0*f**3 + 0*f**4 + 19\/5*f**5 + 7*f - 204. What is the second derivative of y(b) wrt b?\nAnswer: 228*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10877 and 1387.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + w**2 + 2*w + 1. What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d - 13. Let c(y) be the first derivative of -y**2\/2 + y + 1. Let q(k) = -4*c(k) - g(k). Differentiate q(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 less than -0.41?\nAnswer: -1054.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 3. Suppose -q*y + 1125 = 4*z + z, 4*y - 228 = -z. Let u be (-182405)\/(-5730) - 1\/(-6). What is the greatest common divisor of z and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:22 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let x(i) = 7*i. Let p(c) = 10*c - c + 3*c + 3*c. Let y(z) = -4*p(z) + 9*x(z). Determine y(h(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/9 + 5848*z**3\/3 + 36385064*z**2\/9 - 3054012736*z\/3 + 545452523648\/9.\nAnswer: 2*(z - 116)**2*(z + 4502)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + h**2 - 2*h + 4. Let c = 28 + -26. Does 4 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from httjhkhtht?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*-2*(-7)\/(-126)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c + 115*c + 52*c.\nAnswer: 141*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*j**3 + 45*j**3 + 4 - 107*j**3 - 4 - 123*j**3.\nAnswer: -322*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - f**2 + 5*f**2)*(-f + 0*f + 0*f)*(-20 + 8*f + 20) in the form h + k*f + x*f**4 + c*f**3 + t*f**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15977 - 2203 = 404*i for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jooo when four letters picked without replacement from {j: 6, o: 9, q: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**(-4\/9)*v))*v*((((v\/(v**(-6)\/v))\/v)\/v)\/v)\/v*((v\/v**(1\/5))\/v)\/((v**(-3)\/v)\/v) assuming v is positive.\nAnswer: v**(466\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Suppose -c*v - 8 = v. Sort v, 2, -5 in ascending order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -136. Let l = 25 - 35. Let v be (-6)\/9*u\/l. Solve v*t + 4 = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j + 2. Suppose -25 = 5*h - 5. Give y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -315086 - 74914. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 4*b**3 - b**2)*(-1 - 1 + 3)*(-b + 2*b + 6*b) to k*b + g*b**4 + w*b**2 + j*b**3 + n and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.59, -1808\/15, -1, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -11 + 27. Suppose 2*c - r = -8 + 30, 0 = -c - w*r - 7. Suppose -8*h + c = -5*h, -b = 4*h - 94. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g\/(g*g**(2\/23)))\/(g**(-3\/4)*g*(g**22\/g)\/g))**(-2\/149) assuming g is positive.\nAnswer: g**(2423\/6854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508377?\nAnswer: 127, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 1, a: 1, k: 1, x: 2, r: 1}. Give prob of sequence avkh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.029, 4, 569, -1\/2, -3\/7 in descending order.\nAnswer: 569, 4, -0.029, -3\/7, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, c: 3, m: 6, o: 1}. Give prob of picking 1 c and 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 + -289 + 63 + 50 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/14 and -31\/858?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9078 (b) 5 (c) -2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*n*o**3 - 12*n*o**2 - 2*o**3 - 1927 wrt n.\nAnswer: 20*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 1 + (0 + 3 - 2)*(-6 + 4 + 4))*(3*s + s**2 - 3*s) + 113*s + 7*s**2 - 113*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l + 2*l + 0 + 0. Let j(z) = -2*z**2. Give d(j(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127763.8 + 127764. Let t(w) = 4*w - 5. Let h be t(-4). Which is the nearest to 3? (a) h (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l + 38 - 38 + 6*l. Let q(h) = 8*h. Calculate a(q(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2065 and 3448255?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -34) + -1 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/804 and -95\/96?\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 23 = 2*l - 3*l, 4*l + 12 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-7) - 24\/(-8). Solve 6*p = 9*p + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 219*9\/27 - 1*-2. Is 73 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:36 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 + 30981758*s\/3 + 479934664385282\/3.\nAnswer: (s + 30981758)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 19*i - 33. Let m be w(21). Suppose -12*v + 1260 = -m*v - 4*y, 3*v = -2*y + 1242. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 27. Let y = -26 - -31. Let w be d(y). Which is the closest to w? (a) -2 (b) 2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*q - 12, 4*d = -q - 0 + 2. Let l = -8 + 11. What is the closest to 1 in d, -0.5, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(790 - (-3 + 13)). Calculate the highest common factor of a and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190440 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*d - 76 + 71, -5*u = 5*d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (16 + 6)) + 18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 4*r + 2*r + (-2 + 5 + 0)*(2*r + r - r) - 364*r + 473 - 473.\nAnswer: -360*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22540)\/2484)\/(-49)*(-6)\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1\/12)\/(310\/(-372) - 370\/(-60)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + ((4 - -7) + -3 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10092968263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1260 = 12*r. Let d be ((-2)\/4)\/(14\/r). Put -1, -4, d in ascending order.\nAnswer: d, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -17*t**2 + 5*t + 19. Let s(q) = -9*q**2 + 3*q + 9. Let v(a) = 4*o(a) - 7*s(a). Let p be v(3). Let i = p + 104. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 918398499 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 31\/14 (b) -15 (c) 3\/2 (d) 2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 532, 361, -110, -1031, -2552?\n\"Answer: -25*v**3 + 4*v + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Suppose 7*v - c*v - 12 = 0. Suppose v*b - 7784 = -5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.1 + -16.9. Let v = 51.82 + b. Is -0.2 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956 is divided by 1893?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -279*x - 336. List the prime factors of a(-5).\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 78229403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-8)*((-214176)\/485)\/69?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3\/(-6)*6. Let j(o) = 7*o**2 - o - 5. Does 20 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 793 + -12. List the prime factors of v.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00646628 to six decimal places.\nAnswer: 0.006466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 5*b, -4*b + 24 = f + 3. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -12, -197, -4, -9 in decreasing order.\nAnswer: -2, -4, -5, -9, -12, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121234 + -3?\nAnswer: 121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41218579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0808 - -6.9792. Let h = 7 - f. Let a = -0.24 + h. Sort 1, 3, a in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(0 + 1 + 1)*(4 - 4 - 5*z**2) as o*z + a*z**2 + j and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*(q\/(q**(-1\/3)\/q*q*q))\/q)\/q*q)\/q**(1\/2))\/((q**7\/q)\/((q\/(q\/((q**(-2\/11)\/q)\/q)))\/q)))**(12\/5))**48 assuming q is positive.\nAnswer: q**(-59232\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 + 2060417*h - 2060417*h.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25965763 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15*d**2 + d + 2. Let x(i) = -i**2 + 0*i - 4*i + 4*i. Let n be x(-1). Let t be j(n). Solve b + t = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1637.9229 - 1638. Round o to 3 dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281710587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(19))**2*-2.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -60. Let d be -1*1*2 + 1. Let m = w + d. Solve m*b + 7 + 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-2*sqrt(8)\/sqrt(2)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383369621 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + -8. Let w = h - -70. Calculate the remainder when 77 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 + 4*b - 2. Let s(c) = 26*c + 74. Let n be s(-3). Determine o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j - j)*(-3*j + 3*j - 2*j**3) + 12*j**2 + 60260*j**4 - 60259*j**4 + 18*j**2.\nAnswer: 5*j**4 + 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let p = 2.031 - 0.031. Let q = p - u. Which is the closest to 0? (a) q (b) -3\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -3\/7, 0, 8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 351 = 5*z, -2*s - 2*z - 1448 = 2*s. Let r = s + 104. Let m = 588 + r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 82 + (-14 - 87)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + u - 22 = -u, 5*n - 5*u = 65. Solve 2*f + n = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -12, -6, 0?\n\"Answer: 6*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 5 (b) -2\/3 (c) -4 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4697 or 1.322?\nAnswer: 1.322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -45. Solve -c + 6 = -r*c + 2*m, -1 = m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8666073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7366588 and -155\/84?\nAnswer: 154698348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 12. Let f(w) = w - 11. Let x be f(t). Suppose -4*s + 7 - 3 = x. Solve 0 = -2*o - s + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(192))*-2 + -6*sqrt(18)\/(sqrt(6) + 2*sqrt(6) - sqrt(6)))**2.\nAnswer: 76*sqrt(3) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24300 = -101*v - 874*v + 165*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let c(z) = 3*z - 17. Let p be c(6). Let m(q) = -3*q**2 - 2*q - 1. What is p*m(n) - 5*b(n)?\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaqaaaiagiaagagagoo. What is prob of sequence gog?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 107319.81 months?\nAnswer: 8943.3175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*3)\/(sqrt(432)*1).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 207*j + 206*j + 5, -3*c = 4*j - 17. Suppose 12 = 4*x - t + 5*t, -5*t + 15 = x. Solve c = -3*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3 + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, -3\/8, 5, 1\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**5 - 4*h**4 - 4*h**3 - h. Let v(c) = 6*c**5 - 3*c**4 - 3*c**3 - 2*c. Let k(r) = 3*i(r) - 4*v(r). What is the second derivative of k(g) wrt g?\nAnswer: -180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + 32*s + 177. What is the remainder when a(-6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, 6, 0, -0.05 in ascending order.\nAnswer: -0.4, -0.05, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 11 + 2)*(-y - y + y)*(0 + 2*y**2 + 0) in the form x + v*y**2 + g*y + t*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 220 = -4*h, 212 = 3*h + h - 4*p. Let x = h - 25. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -16 - p**2 + 2\/9*p**3 + 4\/3*p. Factor w(z).\nAnswer: 2*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:39 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 10 = 5*p, 95*y - 98*y - p + 22 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-189) - (-2)\/(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 14*b + 0*z - 3*z = 18, -2*z - 8 = -0*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.1 and 33.6311.\nAnswer: -743.24731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 13*q + 276. Calculate the remainder when 65 is divided by v(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 2, r: 1, f: 1}. Give prob of sequence rf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29745905, -59491818, -89237733, -118983650?\nAnswer: -148729569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -8 + 6. Let g(f) = -16*f**2 - 4*f - 2. Let v be g(s). Is -3 + 0 - (v - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3175868.7 and 0.1?\nAnswer: 3175868.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 178.\nAnswer: -53.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 429.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -26, -28, -30?\n\"Answer: -2*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 14*d**3 - 26*d + 53*d.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -1, 3 in decreasing order.\nAnswer: 57, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -1110001100?\nAnswer: -1110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2654 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -74. Solve -3*o + 0 - 3 = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 521 - 926 + 3354 + 3111 - 12237*k wrt k?\nAnswer: -12237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 35*w**5 + 4715*w**4 + 182960*w**3 + 2517740*w**2 + 10913600*w - 3328000 = 0?\nAnswer: -80, -32, -13, -10, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*n - 95 = -811 - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let z(m) = -214257*m**2. Calculate z(n(q)).\nAnswer: -214257*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -75, 205, 8 in ascending order.\nAnswer: -75, -29, 8, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397515 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 3*d**2 + 3 + d**3 - 16*d**2. Is b(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/(47*(-58)\/(-4089))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 231.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2051370 by 991.\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, -2, 5, 6 in increasing order.\nAnswer: -2, -1, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2098 + 2120. Let a(b) be the first derivative of 0*b**2 + 6 - y*b - 2\/3*b**3. Differentiate a(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 46?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 + 97. What is the remainder when n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(10*b**3 + 30*b**3 - b**3 + 2 - 2*b**3 - 2 + (3 - 2 - 2)*(2*b**3 - 3*b**2 + 3*b**2)) + 4*b - b**3 - b**3 - b.\nAnswer: -72*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - -134\nAnswer: 133.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100211002212201 (base 3) to base 13\nAnswer: 110913a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8106 less than or equal to -8034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3 (c) 1830 (d) -2 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8658*v**3 - 2*v**2 + 2*v + 3. Let f(m) = -25972*m**3 - 7*m**2 + 7*m + 11. Give 2*f(u) - 7*p(u).\nAnswer: 8662*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = o - 3*u + 7, -2*o - u + 13 = 0. Suppose 5*s = o*j - 249 - 111, 3*s = 9. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11635 divided by 31\nAnswer: -11635\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 divided by -42?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47225 is divided by 685.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9c2c (base 15) to base 9\nAnswer: -50376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32a - -f3?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) -0.1 (c) -2\/13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlldldqd. What is prob of sequence ql?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z**5 + 20*z**5 + 56*z**5 + 2)*(-1 - 3 - 1).\nAnswer: -260*z**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2)*15\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18022 is divided by 87?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6516 (b) -22 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s + 8. Suppose 8 = s*b - 2*g - 16, 2*g = -2*b + 18. Suppose 10 = 4*n + 2*f, 0*f - 3*f + b = 4*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -5, -8, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046486 is divided by 3648?\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 564 - 282 = 0. Let q = p - -728. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:07 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v + 6975 = 85*v. What is the remainder when v is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeve when four letters picked without replacement from eeeveevveeeevvee?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1, i: 4}. What is prob of sequence pip?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-1\/2))\/q*q*q)**(2\/79)*(q**0*q*q)**(3\/19) assuming q is positive.\nAnswer: q**(569\/1501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:43 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.6095 milligrams in kilograms?\nAnswer: 0.0008366095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43163359 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 7*r - 1. Let p be k(5). Let y be (p\/9)\/4 - (7 - 4). Let x = -0.238 + 0.638. What is the closest to y in -4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/158 and -49\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10458 - 278?\nAnswer: -10747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128733552 by 8045847.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -7*l**5\/20 + l**4\/12 - 49*l**3\/6 + 43*l + 1. Find the second derivative of o(p) wrt p.\nAnswer: -42*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8867843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 193383 = 193933 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**2. Let n(v) = -6*v. Let z(a) be the second derivative of 5*a**3\/6 + 6*a. Let l(w) = 6*n(w) + 7*z(w). Calculate l(x(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1775124*h**6 + 166855*h**2.\nAnswer: -213014880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3331*w - 92 + 322 - 138 - 92 to the form h*w + k and give h.\nAnswer: 3331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*n = -65*n - 176256. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -15*v - 157. Let x be r(-11). Find the common denominator of (-3*x\/48)\/((-66)\/58) and 17\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) 7\/5 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 87. Suppose h*z - 15*z = -45. Let p(f) = -f**3 + 2*f**2 + f + 1. Let u be p(3). Sort u, 1, z in descending order.\nAnswer: z, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349566 is divided by 224911?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-15)*-2*35\/14. Which is the second biggest value? (a) -0.12 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 8*q**2 + 11*q + 2. Suppose 0 = -3*s - 5*w + 286, 3*w - 199 = -2*s - 7. Let r = 160 - s. Calculate the smallest common multiple of f(9) and r.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16375 is divided by 3259?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.30058 years to millennia.\nAnswer: 0.00230058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 54, 16\/9, 0, -16, 4.36?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(98)*1)**2 + sqrt(98) - sqrt(98).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/36 and -61\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:23 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - a?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a - 255 = 116*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88634403 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 3)*(-78*p**2 + 1155*p - 1155*p)*(4*p + 3*p - 8*p - 5*p**2).\nAnswer: 3510*p**4 + 702*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s - 14. Let z be b(-8). What is the common denominator of 31*(2 + z\/(-36)) and (-33)\/8 + (0 + 1)\/1?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = -o, -42*w + 39*w = -6. Solve -242 + 242 = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + v = -11, 16 = 4*v. Suppose -w - 2*q - 6 - 2 = 0, -f*w = 2*q. Let k(m) = 3*m - 3 - m**2 - 4*m**3 + 2*m**w - 5*m**2 + 5*m**3. Give k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-42)\/(-15))*6\/15. Let f = -0.01 + 2.01. Which is the nearest to 2\/7? (a) 0.1 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, q: 6, u: 1, r: 3}. What is prob of sequence qm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(90) - sqrt(17)) + 2*sqrt(612).\nAnswer: 34*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -1, -6, 2.\nAnswer: -30, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 6*w + 4. Let n be c(-5). Let k(m) = 8*m**2 + 2*m + 7. Let s(p) = 34*p**2 + 8*p + 31. Let f(j) = 9*k(j) - 2*s(j). Determine f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136)*-1*-2 - sqrt(136))) + sqrt(136) - sqrt(136))\/sqrt(8)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z + 1500 - 186 + 1238 = 284 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -143*x**2 + 2*x. Let p(j) = 7*j - 427. Determine p(t(f)).\nAnswer: -1001*f**2 + 14*f - 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-144)\/(-240) - (-1038)\/(-5). Let j = f - -207. Suppose 0 = 3*c - 7*c - 5*o + 2, 0 = o + 2. Solve j*k - 12 = c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -153. Let k be (-2)\/(-12)*-3 + -3 + l. Let p = -5 + 2. Which is the nearest to 1? (a) p (b) -1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002378717 to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478666642 is divided by 1953.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3664*(-109)\/(-33136) + (-1)\/(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 7043 + 7043.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-6) - -2)*(1 + -3). Let c be (-62 + 62)*2\/4*y. Solve c*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - 0) + -1056 + 1063.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 4349*l**5\/20 + 5993*l**2\/2 - l - 414. Differentiate q(m) wrt m.\nAnswer: 13047*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-60)\/(-150) + (-12)\/5. Which is the nearest to -0.47? (a) 5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z + 5*f, -4*z = -4*f + 2*f + 22. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002452947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 - 2. What is the least common multiple of x(-2) and 765\/24 - (-4)\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 + 4*y**2 + 60*y + 28*y + 138 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p - 7 + 7)*(-2*p + 0 + 0) - 5*p**2 - p**2 + 4*p**2)*(-3*p**3 - 23*p**3 + 109*p + 7*p**2 - 108*p).\nAnswer: 104*p**5 - 28*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14212 (base 5) to base 15\nAnswer: 53c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6 and -57\/58516.\nAnswer: 175548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1787149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s - 1384. Let u(z) = 8*z - 1341. Determine 6*j(k) - 7*u(k).\nAnswer: -2*k + 1083","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7930 - 7925. Solve 3*g - 18 = 4*u - 5, 21 = -4*u - y*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 31*k**2 - 14*k - 28. Let j(r) = 77*r**2 - 27*r - 54. Let w(x) = 5*d(x) - 2*j(x). What is w(19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 106434?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 13*l - 46 = 0. Solve 3*d - l*t = -4, -7*d + 4 = -6*d - 2*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(126)\/sqrt(6))\/sqrt(7))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*f + 31*f - 8*f)*((-3 + 4 + 0)*(-3 - 5 + 3) + 2 + 0 + 0) + (2 - f - 2)*(-1 + 1 + 1) in the form w*f + t and give w.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11269 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15933 + a + 5306 + 3*a + 5312 - a + 5304.\nAnswer: 3*a - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 38214?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 + 3)*(1 - 4 + 2) + 11 + 4 - 2)*(6*i - 3*i - 4*i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 497963354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 2*z + 1. Let x be r(1). Suppose 1 = -h - x. Let q(t) = 0*t**2 + 4*t**2 - 3*t**2 + t. Determine q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 1\/6, 4, -9.4, -1.6 in descending order.\nAnswer: 10, 4, 1\/6, -1.6, -4, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 2. Let u(y) = -y. Suppose 0 = -2*i - 5*i + 42. Suppose -i*p + 3 = -33. Give p*u(w) - 2*v(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 289 + 24)*(0 + 0 + o) - 2*o - 2*o + 2*o.\nAnswer: -355*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1550*l**2\/3 + 116246*l\/3 - 100 = 0?\nAnswer: -75, 2\/775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 227*w**2 - 4*w + 4. Let i be r(1). Suppose y + 69 = 3*d + i, -3 = -3*d. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1745 - -3213. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let i = -99.8 + 94.8. What is the nearest to -2 in s, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 5, g: 1, h: 12}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + -1 + 5 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 + w - 11. Let f be n(-5). Let u = 19 - f. What are the prime factors of 20\/8*204\/u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 8. Let j be c(-6). Let f = j - 1045\/9. Let u = -116 - -116. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:21 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:26 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 25 = 5*z, -c + 3*z - 34783 + 34770 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-128)\/40)\/((-4)\/50). Let o = n - 21. What is the remainder when 37 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.349296 hours to days.\nAnswer: 0.014554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2484 and 310914?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125925125347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 30 - 7*d + 8*d + 30.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19631 - 19633. Let t(b) = 17*b - 3. Give t(d).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q - 4. Let m = 7 + -1. What is the remainder when a(3) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 11*g - 9. Let a be q(10). Let z be 1*((2 - 2) + a). Solve o = z + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191427, -382861, -574295?\nAnswer: -765729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 3*r + 1. Let k be y(4). Suppose -179 - 154 = -9*a. Suppose 4*q - 28 = 4*o, q + 4*o + k - a = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -425615031 - 4?\nAnswer: -425615035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48987044359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.028 and 1026.\nAnswer: 28.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6740 - 246.9.\nAnswer: -6986.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (22 + 2)\/(5\/415) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.182783 years in centuries?\nAnswer: 0.01182783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/1)\/(2\/(-2)). Suppose -3*v + i*v = -24. Let d be (v\/(-15))\/(-1) + 2. Which is the nearest to 2? (a) 0.3 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 18*m - 4893. Let b = m - 1135. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52914 and 26457.\nAnswer: 52914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*a**4 + 24*a**4 + 75*a**4 + (2*a**3 + 2 - 2)*(7*a - 3*a - 2*a).\nAnswer: 166*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10*h**3 - 26*h**2 - 20*h + 43. Is o(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 11 = -4*z + r, -r = 2*z + 4 - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, 6, 53, 128, 237, 386, 581, 828?\n\"Answer: i**3 + 5*i**2 + 3*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141\/5 + -1289\/45. What is the second biggest value in t, 0.5, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5\/4 - 4767*u**4\/2 + 560373*u**3\/4 - 2175801*u**2 + 3940860*u - 1902768 = 0. What is u?\nAnswer: -3236, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.321 - -0.021. What is the third biggest value in a, 2, 3\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -817*j**2. Let m(f) = -f. What is m(b(z))?\nAnswer: 817*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -376*b + 1110. Determine t(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1712256714, 1712256712, 1712256710, 1712256708, 1712256706, 1712256704?\n\"Answer: -2*n + 1712256716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4800014 - -0.48. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -250*b**3 + 166050*b**2 - 36763470*b + 2713144086 = 0. What is b?\nAnswer: 1107\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 23 = -3*g, 7*c - 4*c + 2*g + 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*3948592\/20 + 3 + (-66)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*z + 38, z + 0 = -5*i + 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 389900 rounded to the nearest 1000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10*f = 440. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 112326*d. Let w(q) = -2*q - 107. Determine w(v(s)).\nAnswer: -224652*s - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 19*l**2 - 19*l - 16. Let n = 12 + -30. Let g be a(n). Suppose g*w = -b, b = -4*b + 4*w + 70. What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = -t - 1, 2*t + 5*j = 75. What is the third derivative of -23*a**2 + 97*a**2 + 24*a**6 + t*a**2 wrt a?\nAnswer: 2880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -18.4025269548?\nAnswer: 18.9025269548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-2) + 113\/((-37855)\/8643)\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23*4\/(-4) + (-43957)\/96050*-50\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-1 - 0) + (3 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-20))\/((-11502)\/15975)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-112336)\/(-1428)*114\/(-76)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*z - 42 = 0, 18 + 45 = 4*n + z. Let h(a) = -n*a - 15*a - 1 + 31*a. Let w(j) = j**2 - 8*j - 8. What is 6*h(o) - w(o)?\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34156202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21564 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 9*q**2\/2 - q + 3. What is a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5994, 6082, 6222, 6408, 6634?\n\"Answer: -o**3 + 32*o**2 - o + 5964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 3, l: 5, q: 1, k: 2}. What is prob of picking 1 h, 1 a, and 2 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z - 8. Let r be o(6). Solve -2*f + 8 = -2*u, 2*u + r*f - 7 = f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*k = -3, 2*i = 3*i - 5*k - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 4*a**2 - 4*a. Let u(r) = 7*r**3 + 9*r**2 + 9*r. Suppose -4 = 4*h + h + 4*i, -h = i. Determine h*u(w) - 9*o(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 21 - -3 - -9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 8527649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 = v, -4*k + 10 = -2*v - 10. Let r(b) = 8*b - 1. Let g be r(2). Suppose 0 - g = 3*u. Put u, -3, v in increasing order.\nAnswer: v, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sooxposywsssy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/12)\/(-1))\/(15\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 260, 69, 5, -10, 3, 2 in ascending order.\nAnswer: -10, 2, 3, 5, 69, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x + 1. Suppose 0*v + 3 = -v. Let i be 4\/v*(-54)\/(-12). Let p(q) = q. What is i*p(w) + d(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7850, 16, 6 in ascending order.\nAnswer: -7850, -1, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p + 5. Let s(w) = 68*w + 17. Let h(u) = 17*b(u) - 5*s(u). Let c(g) = -2*g**2 + 1. Give h(c(y)).\nAnswer: 34*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1413241 + 1145?\nAnswer: 1414430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 2379.2072944.\nAnswer: 2379.2772944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) 2\/13 (c) 417 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**2*o*t - 203*k**2*o - 3*k**2*t - k*o*t + k*t + 2*k + 21*o*t - 26*t wrt k?\nAnswer: 12*o*t - 406*o - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 772810 + 1166842. Let m = -1760348 - p. What is m rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6*m - 3. Suppose -30 + 3 = m*p. What is the units digit of (0 - -2)\/((-2)\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 30796. Suppose 3*r - g = -2248. Suppose -1255 = -16*m + r. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((4 - -2) + 1)*1. Let a = g - 3. Suppose -20 = -a*f, -3*q - f = q - 197. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/15 - m**4\/2 + 25*m**3\/3 + 7*m**2 - 5. Does 10 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + v = 10, -277 = 2*u - 2*v - 275 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -384.4 - 11\nAnswer: -395.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 54.03346 micrograms?\nAnswer: 0.00000005403346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 28 = -3*i, 0*o + 16 = 2*i - 2*o. Let n be 1 + 3\/i*4. Let d be 15\/(-5) + n + 2. Solve -5*q - 4*p + 13 = 0, q = d*q + 4*p + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315*o**3 + 0 + 47*o**4 - 97*o**4 - 480*o**3 + 53*o**4 - 2 to the form h*o + i*o**4 + b + q*o**3 + m*o**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlbloowq. Give prob of sequence nwoq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 + 0 - 0) + 4 - (-9 + (-40 - -33))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 265 - 2380\/9. Let q = -1658 - -1660. Is q > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 43514744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 3. Let i be t(-3). Let c = 9 + i. Let o(w) = w**2 - 5*w + 1. Let j be o(6). Are c and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/3 in -0.13, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Suppose d*r = 51 - 9. Suppose 3*g = 12 + r. Solve 4*z - 3*n - g = 0, -4*z - 24 = 4*n - 0*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 15*t - 259.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 294032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a5 (base 11) to base 9.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/82658 = 6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3698+1136\nAnswer: 1135.6302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 19*q - 5700 = 50*q - 24*q for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k - 1. Let c(a) = -63*a**3 + 2 + 2*a**2 - 6*a + 82*a**3 + 4*a**2. Let u(o) = -c(o) - 6*f(o). Differentiate u(m) with respect to m.\nAnswer: -57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus -50.76?\nAnswer: 50.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9674*d + 7*d**3 + 0*d**3 - 9675*d + d**2 in the form f*d**3 + r + l*d + i*d**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2225 - 2209. What is the highest common divisor of 20 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100010100010110 (base 2) to base 16.\nAnswer: 1c516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -0.2 (c) -197 (d) 49 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*o + 228, 2*o - 94 = -f - f. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 7) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -27, -4, 75, 234, 497, 888, 1431?\n\"Answer: 4*t**3 - 8*t**2 - 13*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:59 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28365581 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: What is next in 39, 29, 13, -9?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o - 5. Let u(m) be the second derivative of -m**3\/2 + m**2\/2 - 2*m. Let g be u(o). Solve 4*i - h + g*h = -8, -i - 1 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.799947 - -9.8. Round k to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f = -16*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11828910 and 28320.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 40. Let j = b - -113. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:51 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**7\/105 - h**6\/96 + 143*h**5\/480 + 15*h**4\/32 + 3*h**3\/16 - 2194*h**2. Let k(r) = 0. What is r?\nAnswer: -3, -1\/2, -1\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 20*i**2 - 6*i + 12. Let w be d(-7). Suppose w*b - 4792 = -3*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1786 - 1786.107. Which is the second biggest value? (a) p (b) 3 (c) -1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Suppose -s*o + 125 = -o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -10.8, -150, 1\/3.\nAnswer: -150, -36, -10.8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1424 - -1427. Calculate the remainder when 571 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72*(-32)\/((-1408)\/(-22))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -3) + (48 - 54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*a, -2*x = 3*a - 5*a. Calculate the common denominator of (-52)\/6 - (1 + -3 + a) and -35\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -937, -925, -899, -853, -781, -677?\n\"Answer: m**3 + m**2 + 2*m - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 95, 91, 87, 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 65, 0 in descending order.\nAnswer: 65, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 8*l - 12. Let c be n(-6). Suppose -3*x + 2*u = -c*x - 92, 2*u = -5*x + 164. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0203 + -253.0203. Let r = y + 249. Which is the second biggest value? (a) r (b) 0 (c) -3\/2 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7084 != -7082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -85\/4*p**2 - 15\/4*p**3 - 25\/2*p + 0 + 5\/4*p**5 + 25\/4*p**4 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991956852 to the nearest integer?\nAnswer: 31495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/12 - 7*r**3\/6 + 33*r**2 + 2. Let c be 0\/1 - -1*11. Let f(d) = d + 4. Calculate c*f(k) + 6*y(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78248593?\nAnswer: 19, 109, 37783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 614875.8nm in micrometers?\nAnswer: 614.8758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.069 times 3?\nAnswer: 24.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51.3 - 51. Let o = 4.4 - 5. Let r = o - -1. Which is the third biggest value? (a) n (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 4606*p\/5 + 13827\/5.\nAnswer: -(p - 3)*(p + 4609)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*v**2 + 661 - 661)*(-5*v + 33 - 33) - 2*v**3 - 2*v**3 + 2*v**3.\nAnswer: 173*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 93. What is the remainder when 603\/(-6)*p\/15 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76147 divided by 6.\nAnswer: 76147\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159269678617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.4 - -8. What is the second biggest value in g, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0 + 0 - 2. Let b(c) = 6*c**3 - c**2 + 1. Determine b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9740 or -9736?\nAnswer: -9740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4052, -4053, -4054, -4055?\n\"Answer: -c - 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*1400\/(-300)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dozocacs. What is prob of picking 1 d, 1 c, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 19*p**2 + 96*p + 72. Let s be r(17). Calculate the greatest common factor of 815 and s.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 2*u - 78. Suppose 0 = -4*b + 3 + 29. Suppose b*t - 14 = u*t. Solve 2*o = 2*y + t*o + 10, -5*y - 5*o = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**4\/4 + 9*u**3 - 13*u**2. Let y be k(9). Suppose 4*n + 2 = 3*x - 14, y = n + 1. Solve 0 = -3*l, x*l - l = 3*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982?\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 7) + -1 - (3 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 406595 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -50.4?\nAnswer: 49.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1201*l + 3661. What is the remainder when 8811 is divided by d(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106699 + 8*q**3 + 213371 - 106672.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 16. Let n be o(0). Let m be 55\/25 + n\/(-20). What are the prime factors of m\/(-18)*-268 + 12\/9?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let t = s + 0. Let u(f) be the second derivative of -f**5\/20 - f**4\/6 + f**3\/6 + f**2\/2 + 13*f - 11. What is u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 70229*u**2 - 3298600*u + 3228372.\nAnswer: -(u - 70182)*(u - 46)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.13 and 3.\nAnswer: -6.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3626*i - 3627*i - 2*s - 72 = 0, 3*s + 93 = 6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 14.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.110761 micrometers to kilometers.\nAnswer: 0.000000003110761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -4 - (-1 + 23).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 54*t + 150. Which is the closest to -2\/5? (a) t (b) -0.23 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -26*(-4)\/(-40)*-5. Solve 2*w + 5 = -4*k - r, 5*w = 2*k + 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbtpjh. What is prob of picking 1 b, 1 n, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1016 and 17018?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-4)\/5*75\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**6\/90 - 7*s**5\/45 - 49*s**4\/72 + 93*s**2\/2 + 6*s + 1. Let g(w) be the first derivative of r(w). Factor g(j).\nAnswer: -j*(2*j + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 17. Let b be v(-4). Suppose -g - 5 = b*d - 18, 0 = 3*g + 2*d - 32. Solve 3*j = j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31, 2\/17, -194, -1, -26?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -73. Suppose 2*x - r = -2. Suppose 3*q - x = 0, -480 = -2*c - 0*c - 2*q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2027, 1\/2, 3, -0.04, -4 in decreasing order.\nAnswer: 3, 1\/2, -0.04, -4, -2027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1532, -0.04, -3, -1, 15, 2?\nAnswer: -1532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 135*c + 5010. Give m(-37).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -6 (c) 4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(0*a**2 + a**2 + 0*a**2) + (2*a**2 + 5*a**2 - 13*a**2)*(-54 + 74 - 60) in the form g*a**2 + s + w*a and give g.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 218*o**2 - 63*o - 508. Give q(73).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 5. Let x be p(5). Solve -3*f - 3 = 0, x*c - 2*f - 12 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 9*s + 10. Let h be y(-8). Suppose 0*c + h*c = 10. Let w = -2 + 4. Solve a - c*r - 8 = 0, -4*r - r = -w*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 93918 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 115, 118, 121?\n\"Answer: 3*l + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/13 - 80884*a**4\/13 - 816887232*a**3\/13 + 18010688256*a**2\/13 = 0?\nAnswer: -20232, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862.6255 weeks to nanoseconds.\nAnswer: 521715902400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:40 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -1. Let n(u) = u**2 + u + 7. Let m be n(g). What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*u + 675, -3*q = u + q + 141. Let a = 137 + u. Let f be 17\/5 - 10\/25. Sort f, a, 1, 7.\nAnswer: 1, f, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -8. Let z = 2 + p. Let f(u) = 2*u + 5. What is f(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29630079*j**2 + 2 - 2 - 29630080*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*d**3 - 3*d - 317*d**3 + 155*d**3 + 3*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from hkhkoyihohkmoihyyoyy.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -10*s + 1045. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 75 = 17*a. Let p(l) = l**2 + 8*l. Calculate p(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 6*x**2 + 3*x - 4. Let k be t(-4). Let o(m) = 2*m + 1. Suppose -1 = 3*j - 7. Let f be o(j). Solve 4*z - 22 = -f*c, -4*c + k = 2*z + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*6\/(-3). Let r(g) = 0 - 1 + 2*g + z + 1. Suppose -2*w - 91 = -75, x - 4*w = 26. Let f(u) = 4*u + 2. Give x*f(v) + 11*r(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -72, -5\/8, -1.4, -60, 4\/7?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82a - 798?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 383103700 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 79*k**2 - 15*k - 6. Calculate the remainder when 659 is divided by r(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64420 by -16105.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/14 (b) -449 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - -35. Suppose -2*i = 5*w - 115, -5*i - c = 2*w - 358. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 8, 13*k - 330 = -39*k + 4*k + 6*k + 3*b for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 159699.61 days?\nAnswer: 22814.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:59 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774535355 + -2.3146.\nAnswer: -774535357.3146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 8*k**2 - 1627*k + 9843. What is f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+0.2828112\nAnswer: 0.9828112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 38) + 5 + (-59 - (-5 + 9))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - sqrt(325)*2) + 0 + 5)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -186, -184?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2318 - -2322. Solve -4*o - 18 = -k, k + 7*o - c*o = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(99) + -1 + sqrt(99)) + -6*(-2 + sqrt(99)) + (3 + sqrt(99)*1 + -2)*3)**2.\nAnswer: 108*sqrt(11) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3764*d*f**6 + 2*d*f**2 + 1294*f**2 wrt f.\nAnswer: -451680*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007526 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11120113203 + 1?\nAnswer: -11120113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Let c = 0.2 - s. Let k = -0.3 + c. Sort 2, k, 0 in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = 0, -2 = -2*z + 4*z + 4*o. Let a(g) be the second derivative of 13*g**3\/6 - g**2\/2 - 2*g. What is the remainder when a(z) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -9\/2*f**2 + 14 - 11*f. Let s(h) = -5*h - 6. Suppose 0 = 5*z - 3*p + 52, -2*z + 3*z + p = -12. Determine z*s(o) + 6*a(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0406*-0.3762.\nAnswer: 0.01527372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 6*z + 52. Let b be y(-20). What is the greatest common divisor of b and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 20*s**2 + 49*s - 239. Let f be l(18). Sort 3, -3, 912, f in descending order.\nAnswer: 912, 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13821*l**3 - l**2 - 296610 wrt l.\nAnswer: 41463*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5271 = 13*r + 175. What is the smallest common multiple of r and 6?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -48*f**5 + 5*f**3 + 63*f**2 + 5. Let h(d) = 24*d**5 - 2*d**3 - 31*d**2 - 2. Let s(l) = -5*h(l) - 2*z(l). Find the third derivative of s(j) wrt j.\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 26. Let i be l(-4). Let k = i + -41. Which is the smallest value? (a) 0.1 (b) -2 (c) k (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let q(f) = -29*f + 1. Let m(t) = -7*t. Let c(r) = -9*m(r) + 2*q(r). Let j = 6 + -7. Let s = 10 + -6. Give j*c(u) + s*y(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5636 divided by -5?\nAnswer: 5636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -11*b**3\/6 - 6*b + 4. Let c(g) = -g. Calculate z(c(i)).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - r - 208, -3*b = -2*b - r - 40. Let a = b + -29. What is the third derivative of 5*s**5 + a*s**2 - 6*s**2 - 2*s**5 + 8*s**2 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 200*t\/3.\nAnswer: -t*(t - 200)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 1, i: 2, r: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 142*k - 70. Calculate the remainder when l(2) is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 3*i + 5*x, 6*i = 208*x - 1768 + 152 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13656, -27235, -40728, -54129, -67432, -80631, -93720?\nAnswer: -106693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15286 by 181.\nAnswer: -15286\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(28)\/sqrt(2) - sqrt(14)))\/(sqrt(2)*-1*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from rscskccsbcs?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 3*w**2 - 96*w + 65. Let b be t(9). Which is smaller: -41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 11:20 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18965898*j + 16569019.\nAnswer: -18965898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = c, 3*c = c + 4*j. Suppose 4*r + c*u + 62 = 2*u, -3*u = 2*r + 11. Let a = r + 30. Solve -a - 3 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1.06203 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*m - 12149 = 38432, -3*k - 3*m = -75870. List the prime factors of k.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 + 3. Let i be p(6). Suppose -12 = i*h - 0*h. Let c = -2 - h. Solve 0 = -c*m - 1 + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*b + 37 = b, -2*o - 5*b = -109. Suppose 4*g = 3*g + 1. What is the remainder when o is divided by (4\/(-6))\/(g + (-25)\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.3 - 74.3. Which is the second biggest value? (a) x (b) -3\/2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c00b + -33?\nAnswer: 2bca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**3 + 2*b)*(4 - 4 + 1) + 4*b**3 - 3*b**3 + b**3 + (-32*b + 32*b + 9*b**2)*(-4*b + b + 4*b)*(0 + 3 + 0).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 856*z + 858?\nAnswer: 856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 5004*w**3 + 8366592*w**2 - 4707123200*w + 55289315328.\nAnswer: (w - 1664)**3*(w - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.004? (a) 4 (b) 2 (c) 0.4 (d) -0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4511853*w**4 - 3*w**3 + w**2 - 44111075 with respect to w.\nAnswer: 18047412*w**3 - 9*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i*i)\/(((i\/(i**2*i*i)*i)\/i)\/i))\/(i\/i**(-3))**(-1\/7) assuming i is positive.\nAnswer: i**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92976*n + 49 - 46522*n - 46685*n)*(2*n**2 - 5 + 5).\nAnswer: -462*n**3 + 98*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -210, -328, -444, -558, -670, -780?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + x = 0, 38 - 62 = 4*n + 5*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3671567 + -0.1214\nAnswer: 3671566.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -19\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 0. Let a(i) = -i + 4. Let d be a(6). Let b be (-3 + 2)\/(d\/q). Does b = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61975 (base 10) in base 7?\nAnswer: 345454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + 1 + (7 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 8*c**2 - 11*c - 15. Let y be h(5). Solve 3*f + 5 - 23 = 5*v, 3*v = -4*f - y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 x when four letters picked without replacement from {l: 7, x: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -547.2 + 540. Let q = -26903304 - -26903311.1999983. Let i = q + c. What is i rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/10*u**6 + 0 + 0*u**2 + 0*u**3 - u + 0*u**5 - 1\/12*u**4. What is the third derivative of q(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8384819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 5*s + 6. Let m be k(5). Is 11 a factor of (-2 + m)\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/8 - w**3\/3 + 5*w**2. Let z be g(-2). Solve -f = z*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+25.138\nAnswer: 29.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - y**2 - 13 - 4*y**2 + 4*y**2 + y**2 - 3*y**2 + (y + 5 - 5)*(2*y + 8 - 8).\nAnswer: 2*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -798, -2\/9, -82, 2\/7, -0.03.\nAnswer: -798, -82, -2\/9, -0.03, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62050.9941894 - 62051. Round p to four decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21806 - 3?\nAnswer: 21803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 + 5*n**4\/24 - 4*n**3\/3 + 13*n**2. Determine j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-212)\/(-10) - 9\/45. Suppose -3 = -6*s + f. Suppose -4*k = 8, -2*x + 0*k = s*k - 36. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3840454282 to the nearest 100000.\nAnswer: 3840500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-275)\/40)*(-26)\/(-117)*-2.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031767954*-3.\nAnswer: 0.095303862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - l**2 + 1. Calculate b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4064043961 and 0.015?\nAnswer: 4064043961.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131246*i**3*q**2 - 19*i**3*q + 2*i**3 + i**2*q - 86701*i**2 - 2*i*q**2 - 464*i*q wrt i.\nAnswer: 787476*q**2 - 114*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3\/2*l**2 + 8 - 3*l - 1\/3*l**3. Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463993092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/173)\/(2376\/(-48) - (-1900)\/38).\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 18*s**2 - 50*s - 61. Let z be f(-19). Let q be z\/154 - 8\/(-14). Sort q, 51, -1.\nAnswer: -1, q, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 1)*(3*n + 0*n - 2*n) - 574*n - 566*n - 1763*n - 724*n as d + g*n and give g.\nAnswer: -3628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5253 + -5187. Suppose 5*v = -3*b - 3 - 20, -2*v - 18 = -b. Let d = -1 - v. What is the highest common factor of w and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69510488.\nAnswer: 2, 2833, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*131542.\nAnswer: -7892.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83.1 in 67\/3, -3, 1, -1, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2)\/(5\/10). Suppose -y*z + 21 = 5. Solve 4*l + 4*b = 16 + z, 4*l - 20 = -3*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 498*s**3 + 450*s**2.\nAnswer: 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 - 5*t - 3. Let s be n(-6). Let o(u) = -41*u - s*u + 3 - 4. Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294287?\nAnswer: 7, 17, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4 - 936*k**3 - 20262*k**2 - 93024*k - 73695 = 0.\nAnswer: -289, -17, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 2435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.08 - 0.08. Let o = r - 36. What is the nearest to o in -2\/9, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5489 and -354.\nAnswer: -5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*v = -344*v - 289 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.215 - -9.21492331. What is a rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(12)\/sqrt(2)))\/((sqrt(8)*1)\/sqrt(4)))\/(sqrt(24)\/sqrt(32) + (sqrt(24)*-1)\/sqrt(8)) + -4.\nAnswer: -2*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.936 - 10. Which is the third smallest value? (a) 2 (b) 1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/(6\/16). Let b(z) = -q*z - 1 + 5*z - z. Let i(f) = -5*f + 3. Determine 7*b(w) + 3*i(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.1733ml to litres.\nAnswer: 0.0061733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40104 (base 6) to base 14.\nAnswer: -1c92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228480*p*s*u**3*x**2 - 3*p*s*u**3*x - p*s*x + s*u**3*x**2 - 16*s*u**3*x + 2*s*x - 3*s - 45*u*x wrt x?\nAnswer: 456960*p*s*u**3 + 2*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 69\/9 + 4\/(-6). Let z = w + 2. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 50*j**3 + j**2 + 3*j - 4. Does 25 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1624.6 + -1624.5. Sort -3, 200, g in descending order.\nAnswer: 200, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21011021002 (base 3) in base 11?\nAnswer: -96940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -459, -956, -1457, -1962, -2471, -2984?\n\"Answer: -2*v**2 - 491*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/6*2364\/(-57918))\/(-4*3\/21).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 0.01, 5, -2, -1\/6, 3\/5, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5870157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z - 1 + 1)*(0 + 5 - 3) - 1 + 4022*z + 3 - 3886*z in the form q*z + p and give q.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 17. Let q be m\/((4\/(-64))\/(-1)). Find the second derivative of -q*f + 9*f - 9*f**3 + 3*f wrt f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3768.200897473 + -1.6\nAnswer: 3766.600897473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 774\/63 - 2\/7. Solve -h = 2*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**3 - 9*t**2 + 37*t + 47. Let p(w) = -8*w**3 - 8*w**2 + 32*w + 48. Give 6*b(r) - 7*p(r).\nAnswer: 2*r**3 + 2*r**2 - 2*r - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -0.5 (c) 1\/5 (d) 218 (e) 2\/11 (f) -2\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-2)\/(-1). Suppose -m - 5*d - 5 - 1 = 0, 4*m - d = -a. Let x be (-348)\/(-16) - m\/4. Solve -4*t + x = 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v\/(v*v**0*v*v))\/v)\/v)\/v**(-3\/17))\/(v**(2\/7)\/v)**(1\/24) assuming v is positive.\nAnswer: v**(-5123\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/6)\/(2\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/80*4\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*j*y**2 - j*y - 21228762*j + 3941*y**2 wrt y.\nAnswer: 40*j*y - j + 7882*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3152 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, 0.3, -2.\nAnswer: -2, 0.3, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -300, -723, -1338, -2151, -3168, -4395, -5838?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)\/sqrt(7) - sqrt(8)) + -5 + 2*sqrt(8)*-2)*-5)**2.\nAnswer: 2000*sqrt(2) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7117 + 18539. Suppose -6*x - 2*c + 6857 = -3*x, -5*x = -3*c - m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017052716 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u + 56 = -42*u. Calculate the remainder when 220 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*v, 149*v - 7 = -3*q + 148*v. Let u = 2 + 0. Let s be (-95)\/150 + 1\/2. What is the nearest to 1 in q, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p**(2\/15))\/p*((p\/p**(-21))\/p)\/p*(p\/(p\/p**(-8)*p))**(4\/7) assuming p is positive.\nAnswer: p**(1679\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -54. What is the remainder when (-52)\/(-12) + -4 + 131\/h is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3653427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48351 or -48352?\nAnswer: -48352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -371*b**5\/5 + 146*b**2 + 1233. Find the second derivative of k(r) wrt r.\nAnswer: -4452*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-3)\/2 + 1). Suppose -9*y = -0*y - 306. Suppose -36*j + y*j = -20. Solve -3*o - 2*n + 14 = p, -j = 4*o - o - 4*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 17 = 19. Suppose 2*q = -4*n - 11280006, 3*q = q - t. What is n rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869810587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/630 + h**5\/30 + 2*h**4\/3 + 13*h. Let u(c) be the third derivative of k(c). Factor u(q).\nAnswer: -4*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 + 112*p**4 - 700*p**3 + 1184*p**2 + 400*p - 1600 = 0. Calculate p.\nAnswer: -1, 2, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((0 - -6) + -4 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1 + -4 + 8. Solve a - 3 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 178*q**2 + 1784*q - 1960 = 0.\nAnswer: -10, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 749866260 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1623 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllljljljlljjjl. What is prob of sequence jj?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4*7\/(-56))\/((-267)\/3115*14\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 38*b + b**2 + 5*b + (2 - 5 + 1)*(-b + b**2 + b).\nAnswer: -b**2 + 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 2. Let l be u(5). Suppose -4*y + l = -y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 + b**5\/60 + b**4\/24 - 5*b**2. Let c(y) = -2*y - 22. Let x be c(-11). What is n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.598928 * 0.13.\nAnswer: -0.20786064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j**2 - 17*j - 26. Let w(s) = 5*s**2 - 8*s - 12. Give 6*p(l) - 13*w(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 804059*v. Let k(l) = -5*l**2. Determine w(k(y)).\nAnswer: 50*y**4 + 4020295*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y**3 - y**2 + 2*y - 1. Let d be g(1). Let m = -16 + d. Solve -2*z = -3*z + m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 14*x**2 + x**3 - 15*x + x**2 - 4*x**3. Let p be 0 + 3 + 0 + -6. Let f = p - 10. Let s(d) = 2*d**3 + 6*d**2 + 7*d. What is f*s(v) - 6*m(v)?\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a hour in minutes?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/72 and -125\/4524.\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10562.23*-13\nAnswer: 137308.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31883.19l?\nAnswer: 31883190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 + -9.9. Sort -3, m, 16 in descending order.\nAnswer: 16, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 188, 186?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2 - 2) + 8. What is the common denominator of (-2)\/4 - (-153)\/6 and ((-81)\/p)\/1 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374 - 4473 = 590*j + 9291 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -10*p**3\/3 - 35*p**2 - 115*p + 36. Let y(f) = -5*f**2 - 35*f - 57. Let w(q) = -3*c(q) + 5*y(q). Factor w(x).\nAnswer: 5*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90\/9881 or -1?\nAnswer: -90\/9881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v + 9. Let w be s(3). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849802\/12 - ((-1275)\/90 + 14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(405))**2.\nAnswer: -6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z\/(z\/z**(2\/11))*(z\/z**2)\/(z\/(z\/z**6)) assuming z is positive.\nAnswer: z**(-64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20372 (base 13) to base 3.\nAnswer: -2221011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + t**2 + 6*t**2 + 159*t - 20*t - 91*t - 48*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4140323, 8280649, 12420975, 16561301?\n\"Answer: 4140326*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 540.62 + -540.3. Sort 3, 9, -2, b.\nAnswer: -2, b, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 8*v + 3. Let i be p(-4). Suppose 0 = i*s + 2*o - 552, 919 = 4*s - 2*o + 197. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1956304, -1956319, -1956334, -1956349, -1956364, -1956379?\nAnswer: -1956394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 4, r: 2}. What is prob of sequence ddw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11568, 11531, 11468, 11367, 11216?\nAnswer: 11003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 4 + -8 + (-11 - -37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-66 - -68).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 8*l - 2*l in the form z + o*l and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 60*v**2 - 36*v - 465. What is the hundreds digit of j(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*3*(-2*sqrt(3)*-4 + sqrt(48)*3)*-1)**2.\nAnswer: 240*sqrt(3) + 43201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -294, -248, -162, -24, 178, 456?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11791 and -12274.7?\nAnswer: 24065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + 6*(sqrt(363) + -1) - (-5 + (sqrt(363)*-1 - sqrt(363)) - (0 + sqrt(363) + -5)))**2 + 2.\nAnswer: -2178*sqrt(3) + 29527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(2448) - (sqrt(2448) - (1 + sqrt(2448))))*4 - (sqrt(2448) + sqrt(2448) + 1 + 5))*-2)**2*2 + 1.\nAnswer: -19200*sqrt(17) + 1959201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 163, 372, 675, 1078, 1587, 2208?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059 less than 26012?\nAnswer: 26012.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, 1, -1\/9, 3\/2, 0.13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Calculate t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + (-1066)\/(-104 + 63).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6 - 0. Suppose 21 = 5*w - 2*a, -a + 2*a = -2*w + 3. What are the prime factors of (x + -115)\/(-4 + 0 + w)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -104 (b) 2 (c) 44\/3 (d) -5 (e) -2\/5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5583 + 5588. Solve m + 11 = 4*c, -5*m + 8 = w*c + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (80\/35)\/(2\/7). Let l be (4 - m) + 24 + -1 + 2. Let g(p) = l*p - 21*p + 14 + 2*p**2. Let t(h) = -2*h. What is g(t(k))?\nAnswer: 8*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 16*v + 120 = 16*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 26. Suppose 4*z = 3*q - z + 39, -84 = 5*q - 2*z. Are i and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4307 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -26*t**3 + 13*t + 25. Calculate the remainder when m(-2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/62, -8, 0.12 in ascending order.\nAnswer: -8, 1\/62, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 3*l**5\/10 + 14*l**2 + 3*l - 21. Let y(k) be the first derivative of c(k). What is the derivative of y(b) wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 12*f - 6. Suppose -5*t = 2*g - 53, 4*t + 5*g + 6 = 62. Let o be n(t). Let m = -2 + 4. Solve z + m*z - 3*r = o, -5*r = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 12) to base 6\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 14370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 - 92467548*r**2 - 924675486*r\/5 - 462337744\/5.\nAnswer: 2*(r - 231168872)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, -7, -5\/4, 0.08, 0.1, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -28 (b) -55.8 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -55*m + 65. Let t = -270 + 274. Suppose -t*i = -153 - 107. Let a(l) = -5*l + 6. Calculate i*a(j) - 6*k(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -200123123 (base 4) to base 11\nAnswer: -90882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnlv when four letters picked without replacement from {v: 4, l: 3, n: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98, 200, 304, 410, 518?\n\"Answer: x**2 + 99*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 (base 8) in base 4?\nAnswer: 110233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*n + 1250*n - 270*n + 1219*n + 1534*n.\nAnswer: 3476*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 9 = -2*t, 2*j = -2*t + 2. Suppose 2*n - 6430 = 5*k, -3*k - 9627 = -j*n + n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 13. Let j(n) = n**2 + 3*n - 1. Let o be j(u). Suppose 2*t - 8 = -o*i, -3*i - 7 = -t - 3. Solve -2*p - 4 = -2*m, 2*m + i*p - 4*p = 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -87. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431664094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7259406776639 - 60?\nAnswer: -7259406776699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4.91 (b) -0.1 (c) -14728 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 80.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48504, 2, -1, -33, -10.\nAnswer: -33, -10, -1, 2, 48504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 - -660. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*n - 43991 - 86101 = 0. Is n greater than 877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-36)*(-32)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let f be 121 + 0\/1 + -2. Suppose -2*y + f = -n*b, 3*y - 122 - 34 = 3*b. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -678046340 and 46.1.\nAnswer: -678046293.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 3.7, 483, 10\/9, -0.15 in ascending order.\nAnswer: -4\/7, -0.15, 10\/9, 3.7, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yysy when four letters picked without replacement from {s: 4, u: 4, y: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13516.\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 3150?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/339 and 47\/6.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84175762.\nAnswer: 2, 11, 149, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 - -15. Let b = k - -80. Solve -13 - 2 = -b*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/19679 and 39\/11539.\nAnswer: 20643271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -18. Suppose 6*i + 2 = u. Find the third derivative of 15*s**3 + 2*s**2 - 7*s**2 + 0*s**i + 4*s**2 wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -7\/24*w**4 + 2\/3*w**3 - 4*w + 0*w**2 - 1\/120*w**5 + 0. Let p(n) be the second derivative of i(n). What is p(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6259 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*c = 12, 3870*i - 3878*i + 4*c + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + o - 1881. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*v + 2893730 = -97*v. What are the prime factors of v?\nAnswer: 5, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1750675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128869, 128870, 128871, 128872, 128873?\n\"Answer: q + 128868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(-2) - (-336)\/144. Solve 2*o = -g, -2*o = -4*o - s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 341201894?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514528327.\nAnswer: 37, 13906171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from ktuoxuo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -36. Calculate the remainder when 1938\/18 + 22\/(-33) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 18*a - 10*a = 9*a + 47 - 8, -834*l + a - 3716 - 10457 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 109\/(-436)*(824\/(-56) + 9)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 + 15*p**4\/2 + 32*p**3 + 12*p**2 - 136*p - 168 = 0 for p.\nAnswer: -7, -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-387)\/(-86))\/((-9)\/(-84)). Solve -49*b = -35*b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 657 = -4549*c + 4557*c, 0 = 2*c + 5*i - 97 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 691526\/381 or 1815?\nAnswer: 1815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 10:43 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*w**3 + 37752*w**2 + 23*w + 24352 wrt w.\nAnswer: 192*w + 75504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c - 2*c + 0 + 0 - c + 3 - 3 + (-6 + 3 + 1)*(5*c - 3*c + 0*c) - c + 3*c + 0*c)*(c - c - c)*(-c**2 + 0*c**2 - c**2).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3 + 5. Let f(v) = -5*v**2 + v + 1. Let q be (-2 + 0)\/(0 + 2). Let r be f(q). Sort z, r, 4 in descending order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-13)\/(-598))\/(3\/24))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, 4 in descending order.\nAnswer: 35, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 121302001020?\nAnswer: -121302001132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -676*n**2 + 130*n - 249*n + 119*n to the form a*n + v*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Factor 3*n - c*n + n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -13. Let n = 423\/20 + -102\/5. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*k - 23*k - 2338 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7667104?\nAnswer: 2, 239597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 122112120?\nAnswer: -122112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1135546 and 18407?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.867 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -2 - (-3 + 2). Suppose -4*z + 60 = -5*b, -4*b = k*z - 38 - 18. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 5*(0 + 2). Let g be 716\/16 + (-2)\/n. What is the highest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26620830 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + 3. Let l(p) = 2*p**3 - 10. Let x(o) = 2*o**3 - o**2 - 11. Let i(d) = 6*l(d) - 5*x(d). Let t = -9 + 4. Determine t*f(y) - 3*i(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/108*-4)\/(28\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -2) + (-72)\/(-18) + -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q - 136*q + 215*q - 41*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*p**3 - 162*p**3 - 69238*p + 69238*p.\nAnswer: 365*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b = 3*j - 29*b - 11, b = -5*j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 868 - 864.076. Let i = d - -0.076. Let h be (-2)\/(-16)*(-2 - -1). What is the closest to i in h, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:54 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 y, and 1 k when three letters picked without replacement from akhphhyyhphh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -49*(-6 - 448\/(-98)). Calculate the greatest common factor of 5320 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1380 - -1372.215. Let b = v - 0.015. Round b to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 + 9 = 0. Suppose 1 = -5*f - 3*q + 6, 5*f = 3*q - 25. Put 2, z, f in decreasing order.\nAnswer: z, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9499.\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -13*l**6\/3 + 69*l**2 + 269*l. What is the first derivative of z(b) wrt b?\nAnswer: -520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/57745140 and -83\/3849676?\nAnswer: 57745140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18998541 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 - 19)*2\/10. Put -4, 0, k in ascending order.\nAnswer: k, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*a - 21, -18*x = 16*a - 4*a - 10*a + 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4969, 18384, 40237, 70528, 109257, 156424?\nAnswer: 212029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 35. Let f be g(10). Solve 2*t = f*h, 0*h = -2*t + 3*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(540)\/sqrt(9) + sqrt(60))\/sqrt(12) - sqrt(5) - sqrt(40)\/sqrt(8)*4) + -1.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42011398 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 10*a - 10. Let y(z) = z**2 - 8*z + 2. Let w be y(9). Let m be v(w). What is the nearest to m in -2\/15, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 11816\/(-196). What are the prime factors of 3094\/9 - c\/(-270)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -44. Suppose -m + 13 - 1 = 4*p, 12 = 4*p. Suppose -2*v + 31 + 17 = m. Calculate the remainder when o is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 9:06 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.081 and -13.2586?\nAnswer: 1.0739466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let l = -139 + 142. Suppose 3*m + 6 = 6*m. Let x(q) = -m*q + l*q + q + 9*q. What is s(x(i))?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1166, 2313, 3458, 4601, 5742?\n\"Answer: -l**2 + 1150*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82619390?\nAnswer: 2, 5, 7, 103, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2234*m + 4 + 1 - 430*m + 1172*m to v*m + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 4, 1, 144, 25.\nAnswer: -5, 1, 4, 11, 25, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 1925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 + 68 - (-3 + 0)) + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y + 2. Let b(x) = -26*x + 6. Suppose -292*k + 296*k - 5*n - 9 = 0, -k + 12 = 2*n. Determine k*b(r) - 17*g(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 9*a**2 + 8*a + 6. Let l be i(10). What is the units digit of ((-144)\/l)\/((-54)\/(-252))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 6*q - 5. Let g(x) = 4*x**2 + 24*x + 19. Let z(v) = 2*g(v) + 9*n(v). Let u be 2*1 - (-28)\/7. Let j be (1*-2)\/(u\/15). Give z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 4*a - 3*a - 4*a. Let u(s) = -4*s**2. What is g(u(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + w + 900 = 5*t, -3*w + 1187 = 4*t. Calculate the remainder when t is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 + 2931*r**2\/2 - 180845*r\/4 + 122451.\nAnswer: -(r - 5831)*(r - 28)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 12.135.\nAnswer: 11.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h + 8. Let t(w) = 3*w + 10 - 5 + w. Suppose 6*a - 15 = a, 5*g + 5*a - 150 = 0. Let y = 19 - g. Calculate y*t(p) + 5*j(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**3 - 1 + 1)*(-h + 12*h - 2*h + (5 - 1 - 2)*(h - 1 + 1)) to the form d + f*h**3 + o*h + p*h**4 + a*h**2 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*f**3 - 2*f + 3*f**2 + 1\/3.\nAnswer: -(f - 1)**2*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -37. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 3 = 28*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-8))\/(87\/116))\/(240\/(-810))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 2524*l + 2528 = 0.\nAnswer: -632, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**2 + 505*v - 52*v - 136*v - 19*v**2 as k*v + t + i*v**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 16\/7, -4, -2\/5, 2\/5, 1.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 11*z**2 + 22*z - 12. What is the tens digit of w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:13 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -599, -1280, -2101, -3062, -4163, -5404?\n\"Answer: -70*l**2 - 471*l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/263 - 21341\/526. Which is smaller: u or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*u + 817 - 817)*(0*u**2 - 3*u**2 + 0*u**2 + (0 - u + 0)*(14 - u - 14) - 8*u + 8*u + 5*u**2 - 1).\nAnswer: 120*u**3 - 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2657*h**2 - 874*h**2 + 1368*h**2 - 2153*h**2.\nAnswer: -4316*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6918 is divided by 2305.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73643 divided by -338?\nAnswer: 73643\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-1)\/2) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10f5 (base 16) in base 2?\nAnswer: -1000011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let g be (-1)\/((-1)\/3) - 1. Let n(j) = -4 + 2*j**g + j**2 + 3. Calculate n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 4*c - c + (-c - 6 + 6)*(-2 + 6 - 2) - c - c + 0*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*z - 503 = 0, -5*z - 178 = i - 3*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 762. Suppose -5*q = -329 - g. What are the prime factors of q?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 + 57 = 0. Let h be z\/98 - (-250)\/7. Find the common denominator of 89\/10 and 435\/h*8\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4586\/64204 + (1 - 1 - 2 - 603\/14)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*g**2*j**3 - 4*g**2*j**2*k + 2*g**2*j**2 + 2*g*j**3*k - 19*g*k - 2*j**3*k wrt j.\nAnswer: 1008*g**2 + 12*g*k - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + (-1 - (-7 + (7 - 10))) + (8 - 14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9741 - -9741. Solve b = -75*c + 102*c + 135 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 229. Let d(f) = -f**2 + 7*f - 1. Let y be d(7). What is the closest to 2 in j, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let o(u) = -8510000*u - 9375. Let t(p) = 8167*p + 9. Let z(v) = -3*o(v) - 3125*t(v). Calculate z(y(w)).\nAnswer: 16250*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*p - 516*p + 1571*p - 6 - 491*p.\nAnswer: 55*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = j + 4, 0 = -2*j + 3 - 7. Let v be 1 + ((-2)\/3 - 1). What is the closest to v in -3\/5, w, -1\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 777804*h**2 + 0*h + 388938*h**2 + 388874*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 10. Suppose 3*v - c*h = -90 - 158, -12 = -3*h. What is the units digit of (-2)\/(-1*(-8)\/v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/5040 - f**6\/120 - f**5\/5 - 51*f**2. Let v(b) be the third derivative of u(b). Calculate v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 25*d**2. Let u(h) = -149*h**2 + 1. Determine x(u(r)).\nAnswer: 555025*r**4 - 7450*r**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15956 + 15958. Sort i, 1\/4, -1, -0.03, -7 in descending order.\nAnswer: i, 1\/4, -0.03, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8798252 and 30131?\nAnswer: 8798252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38793 - 124719497\/3215. Let y = -163957\/12860 + m. What is the common denominator of (-3)\/(-10)*(-202)\/6 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*k**2 - 38*k - 12 = 0. What is k?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1626)\/8)\/((-3)\/8*-4). Sort 0.2, a, 5 in increasing order.\nAnswer: a, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20363?\nAnswer: 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81.06 + 81. Let y = 0.56 + -4.56. Which is the closest to q? (a) y (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 3.932\nAnswer: -39.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2269 - 2269 + 5*w)*(2*w - 2*w + 5*w**2).\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/6)\/3)\/(14\/(-28))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12870 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.1012 or 1\/70?\nAnswer: -8.1012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -34\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*s + 1308 = -280*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 20*g**3 - 48*g**2 + 304*g - 320.\nAnswer: 4*(g - 5)*(g - 2)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Let u(b) = 5193*b**2 - 1244*b. Give k(u(o)).\nAnswer: -10386*o**2 + 2488*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 455\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20534 - 20509. Solve -88 = -t*z + 36*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -5 (c) -18\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = 4*x - n, -10 = -4*x + 2*n. Suppose 9 = 5*s - x. What is the second derivative of s*l - l**3 + 5*l**2 - 2*l**3 - 5*l**2 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642259361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 216*m + 13264. Determine t(-62).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 614196 divided by 6534\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 762*a**2 - 37*a - 10. Let v(g) = -2*g. What is l(v(k))?\nAnswer: 3048*k**2 + 74*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*z + 24, -23 = -u + 4*z - 9*z. Sort -1, -3, u, -4 in decreasing order.\nAnswer: u, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 252496*t - 405888.\nAnswer: 252496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9962, 10028, 10094?\n\"Answer: 66*s + 9896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 110*k - 11. Let z be i(16). Is (z\/(-12))\/(-5 - (-19)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 408\/5. Let b be 8\/(-5)*10\/(-4). Suppose b*k = 4*u + 12, -2*k + 2*u = -6*k. Which is bigger: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 23 = -61. Suppose -197 - 33 = -5*n. Calculate the smallest common multiple of v and n.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 196418.381 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100022 (base 3) in base 12?\nAnswer: -3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.5 + 14.72. Let o = 3.2 + k. Let p = o - -0.58. Are p and 11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*a + 252834 - 252828, -4*z = -a - a - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 3)*(-3 + f - 2*f + 3*f) in the form l + b*f and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npn when three letters picked without replacement from pnpnpnnnppnp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23299*m**2 + 7584*m**2 - 33164*m**2.\nAnswer: -48879*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/21 - 86*f**2\/7 - 3698*f\/7 - 159014\/21.\nAnswer: -2*(f + 43)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 4496973*f\/2 + 20236338.\nAnswer: (f - 4496964)*(f - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*b + 23 = -0*o, -5*b = -3*o + 49. Suppose y + o*y = 1470. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(-b - b + b + 19*b - 3 + 3 + (4 - 1 - 1)*(4*b - 4*b - 2*b)) to the form s + t*b and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(832) - sqrt(832)*2) + (sqrt(5200) + -1 - sqrt(5200) - sqrt(5200)))**2.\nAnswer: 280*sqrt(13) + 10217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, 2, -0.005 in descending order.\nAnswer: 5, 2, -0.005, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.332 + -0.21?\nAnswer: -1.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-227)\/3859 - 206\/(-34)) + 26\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:56 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*r - 0*r, 0 = -4*r + 4*h + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 23*u**2 + 133*u + 15. Let c be d(16). Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -98. Suppose -y*n = -3*t - 8*n + 136, -2*t = -3*n - 78. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22523, 22051, 21579?\n\"Answer: -472*g + 22995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295200738 and 574.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5907 - 5889, v - 5*v - 5*t = -5*v + 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -9025.47?\nAnswer: 9025.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 21. Is p less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*v + 51*v + 44 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14737773?\nAnswer: 3, 4912591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4366, -115, -1\/5 in descending order.\nAnswer: 4366, -1\/5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:14 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8643 - -8642.5183. Round d to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w + 344. Calculate l(-39).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 96 - -126) + 6 + 17?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432) + -2.\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 3945*p**2\/2 - 78825*p\/4 - 49250.\nAnswer: -(p + 5)**2*(p + 7880)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149291475?\nAnswer: 3, 5, 1990553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:45 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 409\/4 bigger than 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.8 (b) 2\/19 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 2. Suppose 4*m - 15 = i, -5*m + 10*m = -i + 21. Calculate the smallest common multiple of k(-5) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5\/6, 3, -6017\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(51)\/sqrt(3))**2*1.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.35 - 15. Let i = 0.45 - x. Let k = 8\/15 - 2\/15. Which is the nearest to i? (a) k (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1078 + 8601\/8. What is the common denominator of t and 51\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89\/3 - -269\/9. Let a(q) = q**3 - 7*q**2 + 11*q - 2. Let g = -28 - -31. Let u be a(g). Sort o, 1, u in increasing order.\nAnswer: u, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012203 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/8, -0.5, 2\/7, -0.3, 5, 4122, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 2*l + 3. Let s be z(0). Is 16 a factor of 0 + (0 - -43*s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u + 1040. What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - r + 4 - 11 = 0, -6 = 2*r. Suppose -3 = -2*k - 3*a + 4*a, -2*k - 3*a = -7. What is the derivative of 2*x**g + 3 + 1 + 0*x**k + 15*x**2 wrt x?\nAnswer: 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.6 in -0.9, -1\/3, -2, 0.2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29726 (base 10) to base 15\nAnswer: 8c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(0 - 1) - 0. Let u = 2242 - 2238. Solve 21 = u*j + w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -1 + sqrt(2057) + sqrt(2057))**2 + sqrt(17))*3.\nAnswer: -195*sqrt(17) + 55542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 2482942?\nAnswer: 47175898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30055 and 1?\nAnswer: 30055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1085+-36958\nAnswer: -38043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 23 = -142 - 10. Suppose -4*i = -3*i + 7. Let y be (-47)\/i - (-6)\/21. What is the highest common factor of s and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -610219\/71 - -8595. Let o = -1034\/497 + b. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 minus 285?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12001010110202 (base 3) in base 11?\nAnswer: -15700a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6072 = -2562*s + 2516*s. Let b(g) = 34*g**2 - g. Suppose -3*n - 2 = -5. Let p be b(n). Calculate the greatest common factor of s and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1786424911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71\/312 - -4\/39. Let x = 0.6 - 0. Which is the third biggest value? (a) -0.1 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1332239 + 18713627\/14. Let s = 6624 - 11066. Let p = s + f. Calculate the common denominator of p and -21\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 327, -2, 24, -1 in increasing order.\nAnswer: -5, -3, -2, -1, 24, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 = 93*l - 197 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3914 + -3821. Calculate the remainder when 329 is divided by g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3 = -4*k, 17*j = 4*k + 20*j + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -37*c**7\/15 - 11*c**4\/6 + c**3\/6 - 441*c**2. What is the second derivative of v(r) wrt r?\nAnswer: -6216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2*r**3 - 366111*h**2*r**2 - 16*h**2*r - 4106099*r**3 wrt r.\nAnswer: -6*h**2 - 24636594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19877430 to the nearest integer?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 262*x - 1 + 19*x.\nAnswer: 281*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1155869 divided by -1781.\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:21 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {r: 8, g: 2, p: 5, k: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*a + 11*a + 10*a - 11)*(2*a**3 - 3*a**3 + 3*a**3) + 20*a**4 - 5*a**4 + 15*a**4 to the form w*a**4 + q + u*a**2 + z*a + l*a**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1132148*b**2*x + 4*b**2 - 138*b*x + 21963*x wrt b.\nAnswer: 2264296*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxr when four letters picked without replacement from xttxjjxtjxrtt.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 7*x**6\/10 - x**5\/20 + 26*x**3\/3 + x - 9. What is the second derivative of o(f) wrt f?\nAnswer: 252*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7968023 tonnes in grams?\nAnswer: 796802.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p + 83. Let z be f(6). Suppose -z*r + 19 = 14. Sort 5, r, 3, -2 in descending order.\nAnswer: 5, 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 + (5 - 1000)). What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqu when three letters picked without replacement from {y: 2, q: 1, u: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 156 (c) -0.3 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2075 or 1?\nAnswer: -3\/2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4824 by 1206.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2343 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/320*440\/(-12)*-9?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5430140 and 1357535?\nAnswer: 5430140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4999 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 182167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0, -2\/11, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 28145*o - 28149. What is d(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-3\/13))**0*w**(-2\/7)\/w**6)**(1\/21) assuming w is positive.\nAnswer: w**(-44\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3132 - -1?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/45 at least 20969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*z - z + 3*s, s - 5 = 0. Let j = 7 + z. Suppose -j*v = 4*o - 6240, -5*o - v + 7800 = 2*v. What is o rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 13314136?\nAnswer: 93198952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 353237248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1452\/495 - 4\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - 2*sqrt(1900)) + 2 + sqrt(1216) + 0 + sqrt(1216) + sqrt(19) + sqrt(19)*2*-2)*-4.\nAnswer: -12*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328377187\/5948 - -55208. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -2*a - 9, c = -4*a - 15. Let m = -3 - a. Let d(l) = -12*l**2 - 3*l - 17. Let b(z) = -5*z**2 - z - 8. Let k(g) = 5*b(g) - 2*d(g). What is k(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24357 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5554.8 + -5555. Which is the second biggest value? (a) q (b) 3\/4 (c) 3\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 1915*m**8\/336 - 403*m**4\/4 + 2305*m**2. What is the second derivative of o(n) wrt n?\nAnswer: 38300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 19 = 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7 and (-1)\/(-6) + 3157\/(-726).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 20, 1230*a - 8*p = 1228*a - 44 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**4 + 307*x**3 - 2537*x**2 + 4193*x - 1960. Let t(k) = 2*k**4 - 153*k**3 + 1268*k**2 - 2097*k + 980. Let s(r) = -3*i(r) - 7*t(r). Factor s(f).\nAnswer: -5*(f - 14)**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyaajaakkk. What is prob of picking 1 y and 2 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k = 82*k - 3*c + 16, 2*k = -4*c + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -19182281, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4872 + 5*q - 1624 + 2*q**3 - 1624 - 9*q**2 - 1625. Let w(n) = -4*n**3 + 18*n**2 - 11*n + 2. Give -7*v(m) - 3*w(m).\nAnswer: -2*m**3 + 9*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2349840 and 4560.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 11*n**2 - n - 11. Let r be j(-11). Suppose 4*h + 3 - 19 = r. Solve -5*t + 6 = 3*v, -3*t = h*v - 5*t + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2706 by -5.\nAnswer: 2706\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 2, 8, -74, -1 in ascending order.\nAnswer: -74, -5, -4, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/15 - 28398016*o\/5 + 85194046\/15 = 0 for o.\nAnswer: 1, 42597023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.01465.\nAnswer: -0.01465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, 0.1, 3\/4, 44, -133 in ascending order.\nAnswer: -133, 1\/12, 0.1, 3\/4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9948 = 53*u - 56*u, 0 = 4*m + 4*u - 7960. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 29440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let a(d) = -225*d**2. Determine a(i(p)).\nAnswer: -900*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 83 + 29 = 0. Let u = -2007 - -4109\/2. Calculate the common denominator of u and (1 - 10)*(-2)\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -7*m**2 - 21. Let p(l) = -1. Let q(j) = 5*j - 6. Let z(n) = 6*p(n) - q(n). Calculate y(z(r)).\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i - 2. Let f be d(6). Let z be 2\/3 + (-4)\/6. Solve z = -8*v + f*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*s - 67 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:30 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6 - (-531)\/54\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*n**5\/4 + 32565*n**4\/2 + 475023*n**3\/4 + 621557*n**2\/2 + 345477*n + 137214 = 0. What is n?\nAnswer: -378, -3, -22\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -0.08. What is the second biggest value in 2\/11, r, -2, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 - 7529*l**4\/3 + 165275*l**3\/3 - 908347*l**2\/3.\nAnswer: l**2*(l - 7507)*(l - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2835 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119664 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let u(s) = 21*s + 6. Let t(n) = -104*n - 28. Let g(k) = 3*t(k) + 14*u(k). Give g(z(w)).\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - g = -84, 10*j - 133 = 7*j - 5*g. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4977 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/11 - 10*s**2\/11 + 8*s\/11 - 2\/11.\nAnswer: 2*(s - 1)**2*(2*s - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*((-2*l**2 - 2*l + 2*l)*(-4 + l + 4) + 7*l**3 + l**3 - 2*l**3) as s*l**2 + y*l + n + q*l**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20625951 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.3. Let h = -2 + 7\/2. What is the closest to 0 in -1\/4, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.1. Let p = 5.08 - 5. Let g = -0.38 + p. Sort t, g, 1 in increasing order.\nAnswer: t, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103219338?\nAnswer: 2, 3, 17203223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 11*n + 8. Suppose 5*i = -f - 43, -25 = -0*i + n*i + 3*f. Let m = i - -10. Solve -2*b + 12 = -2*w, -m = 3*w + b - 0*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-3 + 5)) + -22 + 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Suppose 18 = 6*l - 510. Let t(o) = 162*o - 82*o + 3 - l*o. Give k(t(c)).\nAnswer: -16*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4216582 years?\nAnswer: 0.04216582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/210 - 13*n**4\/84 + n**2 + 38*n. Solve o(k) = 0 for k.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:28 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g - 6. Let t be x(-6). Let p be -5*(1 - (t - -2)). Let m = 9 - p. Calculate the remainder when 6 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5964*j**2 - 190*j - 2508. Let a(t) = 3976*t**2 - 136*t - 1672. Let i(u) = -7*a(u) + 5*f(u). Differentiate i(n) wrt n.\nAnswer: 3976*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*o - 38*o + 3320. Let i = -327 - o. Solve 0 = i*t + 3*n - 5, 2*n + 0 = -3*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceycecfccrcfefye. Give prob of picking 1 r and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 1 s when three letters picked without replacement from ddsdhdas?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 12*i**2 - 16*i - 3. What is the tens digit of p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11280862 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - -2*sqrt(187))*3)\/((sqrt(33)*-1)\/sqrt(3)) - (4*-1*sqrt(17) - sqrt(17) - -3*sqrt(17)*1))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 3. Let g(w) be the third derivative of -w**4\/24 - w**3\/6 + w**2. Give -2*g(z) - o(z).\nAnswer: -2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*p + 340*p + 347*p - 58*p - 198*p.\nAnswer: 600*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1916)\/12 - 5)\/((-1)\/(-8502)). Let n be u - (-3)\/((-12)\/16). Round n to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5 - 0) + 0 + (-1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 15. Solve y = 2 - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 5*j - 60, 4*p - 3*p + 5*j - 24 = 0. Suppose p = 2*k + 2*v - 169, -3*k - v + 275 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99198?\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11214 - 11201. Calculate the remainder when 1636 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127608539.\nAnswer: 6143, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 121. Let t = 201 + 17. Let u = t + w. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -29*f + 6. What is the tens digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23788 and 79496?\nAnswer: 24882248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 15\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y*y**(-1\/6))\/(y\/y**(-14)*((y*y*y*y*y**17*y*y)\/y)\/y) assuming y is positive.\nAnswer: y**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 720*y + 71967. What is x(-120)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 2 - 4*o**3 + 2 + 2*o**3 to i + y*o**2 + c*o + d*o**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200010210 (base 3) in base 8?\nAnswer: 31650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/101 and -28\/1426737?\nAnswer: 144100437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 228473 rounded to the nearest one thousand?\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 970*f**2*t**2 - f**2*t + 7*f - 3*t**2 - 1 wrt f?\nAnswer: 1940*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 20) + (-13 - -14) + -1 + -43.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4}. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2 and 30\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4512?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -6*(-5 + -1*sqrt(153))**2*5*-1).\nAnswer: 4500*sqrt(17) + 26690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4\/7*f**2 + 32\/7*f - 80\/7 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (19 - 10) + -38?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3 = -p, 12*p = 13*p + 3*f + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*m**2 + 40*m**3 - 3865*m**2 + 1284*m**2 - 12*m**3 + 1292*m**2.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1\/2, 57, -2, -0.2 in increasing order.\nAnswer: -2, -1\/2, -0.2, -2\/13, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4 - 4)*(-u**2 + 0*u**2 + 3*u**2) + 3*u**3 - 4*u**3 + 3*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480000 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmi when three letters picked without replacement from {y: 1, i: 2, p: 5, m: 2, f: 2, j: 1}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -138, -46, 134, 432, 878, 1502, 2334?\nAnswer: 3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -602999\nAnswer: -6\/602999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-1)\/((-4)\/4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172021 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 4*w**2 + 2*w - 1. Suppose -v = 2*v - 24. Suppose 10 = 3*q - v. Let u be (-2)\/q*1*9. Determine j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/1129 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.55 - -70.55. Let v(y) = -y**2 - 6*y - 6. Let k be v(-4). Put -2\/5, k, 5, t in descending order.\nAnswer: 5, k, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 495 = -4*p. Suppose h + p = 4*h. Let y = -9595 + 9617. What is the greatest common divisor of h and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-340)\/(-800) - 9\/24)*-1. Which is the second biggest value? (a) v (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 8*w - 11. Let r be 1 + 440\/50 + (-1)\/(-5). Let j be f(r). Calculate the greatest common divisor of 48 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2519.8695546 + -1.\nAnswer: 2518.8695546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*l**2 + 10*l + 5.\nAnswer: -5*(2*l - 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*w**3*z**2 + 293650*d**2*w**3*z - d*w**3*z**2 + d*w**3*z + d*w*z**2 + 2*d*w*z + 2*d*z - 6245*w**2 wrt d.\nAnswer: -2*w**3*z**2 + 587300*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 12. Suppose 0 = 64*i + 52*i - 92*i. Give r(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i - 6. Calculate z(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a week in hours?\nAnswer: 3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b + 20 = 0. Let v(t) be the third derivative of 5*t**4\/24 - t**3 + t**2. What are the prime factors of v(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -25*n + 148. Let o be u(6). Suppose 2*b + 2*b + 96 = 0. Let y = o - b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(1\/5))*j*j**(-1)*j)\/(j**(-4)*j*j**0) assuming j is positive.\nAnswer: j**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -22858941.\nAnswer: -1\/7619647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*m - 5 = 6, -4*m = -4*o - 12. Let w = 3 + 2. Which is the third biggest value? (a) 3 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 84. Let u be (-5)\/n + (-4)\/(-6). What is the closest to -1\/2 in 0, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 28. Which is the nearest to -2? (a) o (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 528 = -1810. List the prime factors of p.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 18\/61 (b) -1\/14 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eomn when four letters picked without replacement from fkfekonmkkkkkkfokok?\nAnswer: 1\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccoocc. Give prob of picking 2 o and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -848012*k - 1. Let y(r) = -3*r**2. Calculate u(y(z)).\nAnswer: 2544036*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -15*c - 9. Suppose 12*s - c*s - 99 = 0. Suppose -270 = -s*i + 236. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144340142 + 3?\nAnswer: -144340134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(99) + 0)*-1 + -1 - (3*(sqrt(99) + (sqrt(99) + -1 + sqrt(99))**2 + sqrt(99)) + sqrt(99) + (1*(sqrt(99) + -1 + sqrt(99)))**2)) + -3.\nAnswer: -1590 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(39) + ((sqrt(273) - (sqrt(273)*-1 - sqrt(273)))\/sqrt(7) - sqrt(39) - sqrt(39)) - sqrt(2496)*-2)*5)\/((sqrt(150) + sqrt(150)*1)\/sqrt(2)*1*3).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*k**2 + 101*k**2 - 16*k + 12*k**4 - 204*k**2 wrt k?\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/26)\/j**(-2\/7))\/((j\/j**(-37))\/(j*((j*j**(-1\/3))\/j)\/j*j)))**24 assuming j is positive.\nAnswer: j**(-80996\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6*n - 5*n + 5)*(2*n + 0*n - n).\nAnswer: n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, 16021490 in descending order.\nAnswer: 16021490, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254049?\nAnswer: 7, 157, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 783224867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 8*k + 80. Let f = k - -110\/7. What is the closest to 2\/9 in f, -5, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-1 + sqrt(17) + -1)) + (-1 + sqrt(17) + 1)**2)*4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u + 15. Let y(o) = 1. Let k(h) = -2*b(h) + 2*y(h). What is the derivative of k(s) wrt s?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, -71, -379, -1013, -2081, -3691, -5951?\n\"Answer: -18*y**3 - y**2 + 39*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.574 + 17.274. Let m be 2\/6*(-6)\/(-2). Which is the closest to m? (a) t (b) -3\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 2*t**2 - 2. Let g(z) be the first derivative of -z**3\/3 - 47. Give d(g(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 - 1023*o**2 + 751*o + 3561. Calculate f(255).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/30 and 157\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 14889. Let o(u) = 104*u. What is o(k(t))?\nAnswer: 208*t + 1548456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 87*o + 85*o + 10 = 0, 32 = 5*s + 4*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52356?\nAnswer: 2, 3, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 11 = q + 3*w, 3*q + 13 = -4*w. Solve 2*h = -q + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5\/2*w**2 - 148 - 6*w + 1\/3*w**3. Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 7*m)*(-3*m - m + 3*m)*(2*m - 2*m - 2*m).\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 342857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f. Solve -15 = -5*m - f*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59460113*x**3 + 13132713*x.\nAnswer: -356760678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487306767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:10 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + 3. Let h = -11.1 + n. Let p = 217 - 214. What is the second smallest value in 0.6, h, p?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 29. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -342436, 1.\nAnswer: -342436, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8930000)\/(-57))\/(2 - (-604)\/(-300)). Round c to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-5))\/((-3)\/(-10)). Suppose 9*s - 7*s = o. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2595920037 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 1, g: 2, j: 1}. Give prob of picking 1 k, 1 g, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 + 2 = 0. Suppose 17 = m*n - n. Suppose 0 = -60*c + 58*c + 4*a + 30, 3*c + 5*a + 10 = 0. What is the remainder when n is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -3, 17, -6.\nAnswer: -29, -6, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - v**2 - v. Let x be b(-1). Factor -16*z**2 - 8 - 2*z**x - 9*z - 3*z**3 + z**3 - 11*z.\nAnswer: -4*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -34 - 68. Let i(j) = -1 + s - 5 - 727*j. Let n be i(-7). Round n to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/11, 1\/3, -3, -0.103 in decreasing order.\nAnswer: 1\/3, 0.1, -0.103, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24945 greater than 18166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 13*j = -n + 292, -3*n = 4*j - 872. Which is bigger: 287 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-704)\/(-416)*-13)\/(1*-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1095 (base 11) to base 4.\nAnswer: -112123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 55\/10 - (-5)\/(-10). Let z = 469 - 7913\/17. Which is smaller: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= 15\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37917562891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 4. Let q be m(-7). Suppose -4*y + 4*h = -9*y + 51, -q = -5*y + 5*h. Let d = -6 + y. What is the remainder when 14 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16))\/((-14)\/(378\/81))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k*k**1*k)\/k)**(15\/11)*(k**1*k)\/(k*k**(-1\/4)))\/(k*k**7\/k*(k\/(k*(k\/(k\/(k*k**2)))\/k)*k*k)\/k*k**(-5)\/k*k\/k**2) assuming k is positive.\nAnswer: k**(339\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1483*x + 334*x + 339*x + 342*x + 466*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -8.47.\nAnswer: 3.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 - -188611 - 4 - 3 - (-3 - -7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + (-220)\/(-30))*704400. Round s to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3122 = -674. Let u = n - 1090. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*b, 2*b - 5 = -3*t + 4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7*d = 92604. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188031899 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 3*p**4 - 4*p**4 + (5*p**2 - 5*p**2 - 2*p**2)*(0*p**2 - 4*p**2 + 3*p**2) + p**4 + 3*p**4 - 22*p**4 + (-p**2 + 0*p**2 + 3*p**2)*(-p + p - 2*p**2).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2176662*c - 7833874?\nAnswer: 2176662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252779 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153) + ((1 + sqrt(153))*3)**2 + -1)*4*2*-2*6.\nAnswer: -132961 - 5472*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490291 is divided by 81708?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.42736 to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 16*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147831296 by 4619728.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 1521)*(-1 + 3 - 3). Let c = m - -7601\/5. Find the common denominator of -62\/15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101222111001 (base 3) to base 7\nAnswer: -1560064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/51, -1\/3, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (5 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7)**(2\/55) assuming p is positive.\nAnswer: p**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (2*sqrt(3300) - sqrt(3300))\/sqrt(3) + -2)**2.\nAnswer: -120*sqrt(11) + 1133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2251e?\nAnswer: -22519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/1171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 - 27 = -5*p + 2*t, 0 = 2*p - 4*t - 136. What is the remainder when (p - -2) + 0 + -3 is divided by (42\/4)\/(2\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -785, 132 in decreasing order.\nAnswer: 132, 3, 0, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 585*l**5 + 3*l**4 - 2*l + 12329.\nAnswer: 11700*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875943 divided by -2?\nAnswer: -1875943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1020)\/(-16) - 0\/2. Let f = 65 - j. Solve -c**2 - f*c - 1\/4 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 - 75. Suppose d + z = 4*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*w - 0*t - 5, -20 = -2*w - 4*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 - 14708*i**3 + 2119708*i**2 - 68116300*i - 488179032 = 0.\nAnswer: -3817, -6, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -24012031?\nAnswer: -24012031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -998 + 1000. Solve -r*w = 3*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 6*r - 1. Let m be c(5). Suppose -2*y + 10 - m = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43885 = 40*m - 9*m + 36*m. What is the smallest common multiple of m and 25?\nAnswer: 3275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f + 3*o, -4*o + 25 = -2*f - o. Let k(u) = -u**2 - 7*u - 7. Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from wbggbbpggppggypb.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5535 (base 6) to base 5.\nAnswer: -20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 285361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -15, 3, 25, -4.\nAnswer: -15, -4, 3, 25, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 = 9*a - 5*a, 10 = 2*d - 2*a. Solve 2*j + 15 = -d*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -567\/23 - -4781\/207. Which is the second biggest value? (a) 4 (b) t (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + -1))*3 + (sqrt(7) + 0 + -2)**2 + -3 - -5*((6*sqrt(2800))\/sqrt(4))**2.\nAnswer: -4*sqrt(7) + 126011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -102*r + 126. Let g(m) = 201*m - 248. Let p(t) = -t + 1. Let v(x) = -g(x) + 5*p(x). Let l(y) = -5*o(y) + 3*v(y). Differentiate l(z) wrt z.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(5000)*4)\/((-4*(sqrt(360) - sqrt(40)))\/(-3*sqrt(8)\/sqrt(2))).\nAnswer: -225*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 31, 2\/23, 2, -11 in increasing order.\nAnswer: -11, -3\/7, 2\/23, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**3 - 5*q**2 + 16*q + 5. Let t(h) = -3*h**3 - 2*h**2 + 8*h + 2. What is -2*i(w) + 5*t(w)?\nAnswer: -w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 16, 3*h + 5*g - 4 - 18 = 0. Let y = 42 - h. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 3*d - 6*d + (3*d - 7*d + 3*d)*(0 - 3 + 2) - 4 + 2*d + 4)*(919*d**2 - 171*d**2 - 108*d**2) as a + x*d**3 + o*d + c*d**2 and give x.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.128 + -0.562. Let o = n - 1.31. Let p = -31\/2 + 15. Which is the second smallest value? (a) o (b) p (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 - 7*z + 4. Let w be c(-7). Let o = w - 33. Suppose j - 3*j = -o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(1\/22)*x*x**(-44)*(x**(-5)*x)\/((x\/(x**(-29)*x))\/x) assuming x is positive.\nAnswer: x**(-1629\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r - 42. Suppose -12 = 2*j - 4. Let b be l(j). Let h = -3.05 + 0.05. Put b, h, -1 in ascending order.\nAnswer: h, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33043 and 382573?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 13*b - 25. Let c be x(15). Find the second derivative of 5 + 2*u - 49*u**2 - 22 - 17 - 22 + c wrt u.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 13. Let g be t(-15). Suppose 284 = -g*n - 1520. Let y = n - -1309. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/42*-2 - 2160\/(-70). What is the first derivative of 96 + 39119*u - 39119*u + k*u**2 wrt u?\nAnswer: 62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Calculate o(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 205*b - 9509. What is c(44)?\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49973978 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21328 divided by -7?\nAnswer: 21328\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 13. Let o be w(-9). Let b be ((-14)\/(-21))\/(1\/15). Let x be (16\/(-140))\/(o\/b). Are 4 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54701403 to the nearest integer?\nAnswer: 7396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.8 and -1565.\nAnswer: -1568.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -11. Let k be 2\/10 - (-56)\/i. Is k + (2 - -38*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*y - 560*y = 37 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)\/(-4 + 6). Suppose -2*k - k + 90 = n. What is the highest common factor of k and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(243)*-4 - (sqrt(243) + 3 + sqrt(243) + -3 + sqrt(243))**2*-5.\nAnswer: -108*sqrt(3) + 10938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4712 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67271*o**3 + 350*o**2 + 2*o + 36 wrt o.\nAnswer: -403626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142020*g**6 + 2*g**2 + 33231 wrt g.\nAnswer: 17042400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:44 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 22*b + 12. Give h(9).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 8*l**2 - 26*l - 21. Calculate f(12).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*s + 21 = 0. Let v(u) = -7 - 2*u**s + 5*u**2 + 9*u - 2*u**3 + 5*u**3 + 5*u**2. Let d be v(-7). Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/3 + 4*d**3\/3 + 6*d**2 + 20*d\/3 - 23. Let o(w) = 0. Calculate w.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 1 - 11. Let r = o - -7. Let k be (8\/16)\/(r\/2). Sort 0.1, k, 2\/7 in increasing order.\nAnswer: 0.1, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let u(n) be the first derivative of 19*n**5\/40 - 11*n**3\/3 - 3*n**2 + 104. Let j(t) be the third derivative of u(t). Give j(l(d)).\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1921, 1919, 1917?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -127. Let x(c) = -1597*c**3 - 6*c**2 - 4*c + 2. Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294212603.\nAnswer: 294212603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*n + 40*n - 18. Suppose -2*x = 3*p - 1, 5*p + 3*x + 15 = n*p. Solve p - 19 = -v - 4*g, -4*g + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2576518, -2576461, -2576332, -2576095, -2575714, -2575153, -2574376?\nAnswer: -2573347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (12\/(-2))\/(-2). Suppose 4*p - v - 4 = 0, p - r*v = -0*v - 14. What is the second smallest value in 0.1, p, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let c(t) = -14*t**2 - 7*t**2 + 2*t + 50*t**2 - 2*t**2 - 5*t**2. Calculate c(k(h)).\nAnswer: 22*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3319 divided by 5.\nAnswer: -3319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:26 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 180.2528 nanometers?\nAnswer: 0.0000001802528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42 and 1.2864.\nAnswer: -0.540288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.078 + 3.078. What is the closest to -1 in q, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124\/183 + 2\/183. Suppose c + 5*h = -65, -2*c + 467*h = 469*h + 18. What is the closest to 3\/8 in c, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20307383, 20307342, 20307301, 20307260?\nAnswer: 20307219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/13, 0.2, 2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**2 - 14*l - 7. Let a(x) = 5*x**2 - 7*x - 4. Suppose -33 = -w - 22. Let y(p) = w*a(p) - 6*m(p). Determine y(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -26?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1215, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16149 divided by -10116.\nAnswer: -5383\/3372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -247 (base 15) to base 16\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + 131574?\nAnswer: 131668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10508)\/(-258440) - 3*6\/252.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c**2 + 3*c - 3. Let t = 3827 + -3825. Let g(k) = k**2 - k + 1. What is t*v(p) + 6*g(p)?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12a - 30b95d?\nAnswer: -30b833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (141\/(-846))\/(39\/(-9))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42140, 42139, 42136, 42131, 42124, 42115?\n\"Answer: -n**2 + 2*n + 42139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.5, 2, -12.7, -2, 142?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69*u + 12*u**2 - 108*u - 13*u**2 + 1132*u**3 + 66*u wrt u?\nAnswer: 6792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 240663312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 + 1374910*t**2 + 10999166*t + 9624258 = 0. Calculate t.\nAnswer: -687447, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.2 + 2.2. Let t = 14 + d. What is the closest to -1 in 0.5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooqqooqqoooq?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/11 + 16*l**3\/11 - 8*l**2 + 96*l\/11 = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112 - 161\/(-529)*-483\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2312*a - 20807. Let x be v(9). Let s be (-6)\/9 - 8\/(-10). What is the nearest to s in -3\/4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, 4192, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -32 + 105*a - 22 + 65. Let c be (-2 + 4)\/(4\/8). Is f(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28750 + -14207. What are the prime factors of h?\nAnswer: 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, -4, 87, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h. Suppose h = 2*b + s - 4*s - 9, -5*b = 5*s - 60. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -98*o + 103*o. Is -0.15 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y - 4, d - y - 5 = 0. Solve -3*l - d = j, 3*l + 2*j = 7*j - 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 5:45 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.038 + -0.038. Which is the smallest value? (a) 0.4 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 62, 1\/5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - t + 20697, -10380 = -2*s - 4199*t + 4203*t. What are the prime factors of s?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9372.0325 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2961+0.68378948\nAnswer: 0.97988948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 397622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {m: 7, q: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*t**2 - 41*t**2 + 148*t**2 - 18*t**3 - 53*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -3) + -3)*-1. Let h be (-5 - -5)\/(-2*f). Suppose h*q - 4 = -2*q. Which is the closest to q? (a) 5 (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7513 - 16937. Is 51\/(-42)*n - (-9)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300077449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1755\/25 + (-20)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 9:47 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 90*y - 114 + 129 + 90*y to the form c + l*y**2 + r*y and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c87 (base 16) to base 3.\nAnswer: -2000222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2433 + 124090\/51. Let u be 2\/(408\/(-1289))*2 - 1. Let v = x + u. Find the common denominator of v and -39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 19977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x + 715 = 5*z, 0 = -4*z + 2*x + 564. What is the remainder when z is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 223045\/15934)*(40 - 44)\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*s + 36 - 36)*(2 - 2 + 6*s) in the form t + q*s**2 + o*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2308595*w**2 - 977238*w wrt w?\nAnswer: 4617190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23742902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:28 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*q = 21, -v - v - q + 14 = 0. Calculate the common denominator of (-2)\/(-7)*20 - 0 and 78\/20 - (v - 4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(1\/2) - 1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 + -187. What is the hundreds digit of (-5 + 0)*(6012\/(-30) + j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 611?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*m**5*s - m**3*s**2 + m**2*s**2 + 197*m**2*s wrt m.\nAnswer: 4860*m**2*s - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - 37) + 123 - 60?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13*m + 71. Let n be k(24). Let q = n + 360. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87330.01ms to seconds.\nAnswer: 87.33001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4491000 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24851.89 + 24869. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(192)*-2*-3 + (sqrt(192) - -1*sqrt(192))*6)*-5*-3)**2.\nAnswer: -8640*sqrt(3) + 13996804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.9 + -10. Let p = v + 4.1. Let n = p - 3.32. What is n rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) - (11 + 1056\/(-60)). Let g(b) = -s*b + 2 - 32*b**2 - 6 + 30*b**2. What is g(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 4:30 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*r - 46, 2*r + 2*r - 2*n = -92. Let x(o) = -6422*o + 294. Let f be x(r). Round f to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -738, -1603, -2820, -4389?\nAnswer: -6310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 22. Let x = v + -9. Let p = -13 + 15. What is the lowest common multiple of p and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 173920291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 16 = 0. Suppose o*d - 1 = 7. Suppose -3*h = 5*i + 15, -4*h - d*i - i - 9 = 0. Solve -2*b = -h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302471446.\nAnswer: 2, 17, 523307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.723 + 0.7643. Let y = 0.037675 - i. Round y to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + (sqrt(2)*2)**2*4 + 3) + 4 - (-4 + (-5*(sqrt(16) + sqrt(64)\/sqrt(4)))\/(sqrt(16)\/sqrt(2)*2 + sqrt(8))).\nAnswer: 28*sqrt(2)\/3 + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/19818 or 0?\nAnswer: 1\/19818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -79.1. Let j = h - 2.8. Sort j, -1\/5, 2\/15, 1 in ascending order.\nAnswer: -1\/5, 2\/15, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1012, 1005, 998, 991, 984, 977?\n\"Answer: -7*x + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g + b, -58 = -5*g + b - 1. Suppose 6 + 6 = 3*u. What is the remainder when g is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, -18 = 3*j + 6*x - 4*x. Let t = j + 8. Find the second derivative of 2*r + 3*r**t - 3*r**2 - 18*r**5 + 15*r**5 wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*h - 31, -c + 15 = 7*h - 2*h. Let l(w) = 57*w**3 - 2*w**2 + 2*w - 3. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 4 (c) -61 (d) 77.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 429.14 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28382\/(-1790)*(-5)\/42. Let k = v - 45\/358. Calculate the common denominator of k and 43\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*s - 257985, 2*s - 17*o = -20*o - 172015. What is s rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 28 = 4*r, -11*r = -5*u - 13*r - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1909411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Let x be a(-1). Let k(g) = 3*g**2. Let f be k(3). Solve 3*c - 3*y - f = 0, 0 = -x*c + c + 2*y + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 17. Let h(o) = 2*o - 33. Let p(f) = -3*h(f) - 5*v(f). Let y be p(5). Let z = y + 3. Calculate the remainder when 33 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011792928 rounded to five dps?\nAnswer: 0.01179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 1117, 3316, 7577, 14584, 25021, 39572?\nAnswer: 58921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 31*l - l**3 - 21*l**4 + 14*l + 14*l in the form w*l + x*l**4 + m + a*l**3 + n*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 2*b**2 - 4*b**2)*(5 - 4 - 7)*(-23 + 12 + 14)*(-b**3 + 5*b**3 - 3*b**3).\nAnswer: -36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l**2 + 15*l - 3. Let v(j) = 5*j**2 - 5*j + 1. Let s(w) = -6*d(w) - 17*v(w). Calculate s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 109. Give v(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*s**3 - 15*s**3 - 104*s**3.\nAnswer: -164*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(3\/7))**(-1\/12)*(s*s\/(s\/(s*s\/(s*s*s\/(((s**(2\/13)\/s)\/s)\/s))))*s)\/((((s\/(s**20\/s))\/s)\/s)\/s))**12 assuming s is positive.\nAnswer: s**(20864\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/(w*w**2)*w))*w)**(-1\/21))**20 assuming w is positive.\nAnswer: w**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5882 - -6292. Calculate the remainder when d is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3208.8 and 2.2.\nAnswer: -3206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8819 = 2*v + 8833, 0 = 4*l + 2*v - 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27 - 25 + 4*w**2 + 2*w + 0*w + w**2. Let z = 40 - 42. Let x be g(z). Solve x - 6 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6567\/34 and -194 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**4 - 3*v**3 + 2*v**2 + 3*v**3 + 6*v**2 wrt v?\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -5*m - 3*w, 0 = 5*m - 3*w + 5*w - 335. Let c be 2\/8 + 119\/68. Let n be 6*13*c\/6. What is the greatest common factor of n and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 521*u - 517*u. What is the remainder when 110 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120.6 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4260203\/7 - 608600. Determine r so that 2\/7*r + 3\/7*r**4 - 1\/7*r**3 - 1\/7*r**5 + 0 - u*r**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.307 - 0.587. Let b = l - -0.18. Sort b, -5, 0, 2.\nAnswer: -5, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55\/2 + -27. Let d = -230\/357 + 11\/51. What is the closest to -1.7 in d, -0.3, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 + -167. What is the least common multiple of q and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2375 is divided by 971.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21962, 21954, 21946?\nAnswer: 21938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:05 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/8 + 0. Let f = 28 - 16. Suppose f*u = 7*u - 5. What is the closest to u in x, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20320066451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3284, 3285, 3286, 3287, 3288?\n\"Answer: u + 3283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5358 and 1128?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 4 + 0*h + h + 3*h + 5*h**2 in the form z + c*h + u*h**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/3 + (-8 + 2)\/(-2). Let l = -60 + 71. Suppose -3*y - 6 + 0 = -3*s, -y - l = 2*s. Put p, 2, s in ascending order.\nAnswer: p, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -25*r + 315. Suppose 2*j + r = 3. List the prime factors of 146 - 0\/(j + 4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21259*p**5 + 2*p**2 - 2*p - 7685?\nAnswer: 1275540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 2\/(-1) - 3. Suppose -2*b = -3*b. Let l = b - h. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 3. Let w = 13 + x. Let q be (12\/(-16))\/(((-190)\/(-8))\/(-19)). Which is the nearest to -1? (a) w (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -26*k**2 + k. What is f(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 25 = k - 99, -k = o - 77. Find the common denominator of k\/42*(-3 - (-30)\/8) and 37\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - 3 - (0 - 1). Let c = a + -2. Suppose -t = 4*t + c*l - 170, l = t - 24. What is the remainder when 113 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(19)))**2 + sqrt(19) + (1*sqrt(76)\/sqrt(4))**2 - (sqrt(171) - (sqrt(171) + 2 + sqrt(171) - sqrt(171)))*-4.\nAnswer: sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 16392576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((24\/30)\/2*20\/(-24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**1\/v))\/v*v)**(4\/17)\/(v\/((v\/v**8)\/v*v)*v**(-15)) assuming v is positive.\nAnswer: v**(123\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 96*b + 1368. Let h be -8*(-3)\/(12\/2). Suppose 0 = -h*r - 0*r + 16. Calculate the remainder when g(79) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 12*r**2 + 129*r + 2. Determine t(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242088.2 minutes to seconds.\nAnswer: 14525292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 3*l + 18, -4*l + r = 23. Let m = 0.4 + 0. Let j = m + -0.9. Which is the biggest value? (a) j (b) 3 (c) l (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -533666 - -533255.793. Let r = 411 + h. What is r rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 33*r + 910. Give u(-16).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 892051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 58 = -2*v, h + 0*h - 77 = 3*v. Let m(u) = u**2 - u + 3. Let x be m(3). Let r be (6\/x)\/(3\/v). Let c(f) = f + 4. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/((-4)\/72). Suppose -j*p - 771 = -12*p. What is the remainder when p is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10557842?\nAnswer: 2, 71, 149, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tft when three letters picked without replacement from ttf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/4)\/((-46)\/(-24) + 116\/348)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 + 7*t + 10. Give j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-1 + 131)\/5\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1529 + -30573\/20. Calculate the common denominator of 90\/(-26) - 2\/4 and l.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 + 83388*z**2 + 22334517*z\/4.\nAnswer: 3*z*(z + 67)*(z + 111117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06072 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 57*r + 400. Determine x(-15).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-124)\/20 + 6)*3. Suppose 2*n - i + 7 = -0*n, 3*i - 12 = -3*n. Is h at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69695081 to the power of 1\/2, to the nearest integer?\nAnswer: 8348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1\/8, -2 in decreasing order.\nAnswer: 32, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3035431052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*h**3 + 257*h**3 + 385*h**3 - 828*h**2 + 828*h**2 + 598*h**3.\nAnswer: 1549*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:19 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -1\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**2 - 703*x + 336*x - 181*x**3 - 11*x**2 - 16*x**2 + 369*x to t*x**2 + p + u*x**3 + s*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*4 + 2*sqrt(176) + sqrt(176)*3)**2.\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3*z**3 - 3*q**3*z**2 - 9*q**3 - 7*q + 260*z**4 - z**3 wrt z?\nAnswer: 6*q**3 + 6240*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*i - 5 with respect to i.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2097 = 10*s - 643. What are the prime factors of s?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615942 by 1697.\nAnswer: 615942\/1697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67.45 + 0.45. Let g = 75 + u. Is g > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -13\/6*d**6 + 2\/7*d**7 + 0*d + 5*d**2 + 1\/3*d**3 + 0*d**4 - 91 + 0*d**5. What is the third derivative of t(g) wrt g?\nAnswer: 240*g**3 - 780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 5*l**2 - 9*l + 11. Let c be h(8). Let w = c + -58. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 - 2*u**3\/3 + u**2 - 2*u - 3. Let s be g(2). What is the derivative of -s + 3 + 3 - i**2 - 1 wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -100, -244, -456, -742, -1108, -1560?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/146695?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18935893.38 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-42) + 385\/392?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - ((9 - 15) + 10)) + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/24 - v**3\/6 + 702*v**2. Let w(q) = 4*q - 7. Calculate -6*m(n) + w(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 30*l - 137. Let a be m(-6). Which is smaller: a or 34?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, -250150, 1 in ascending order.\nAnswer: -250150, 1, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*1 + 55\/(-25)*-5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:49 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3\/2*q**5 - 33\/4*q + 81\/4*q**4 + 135\/4*q**2 - 177\/4*q**3 + 0 = 0.\nAnswer: 0, 1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) -2\/31 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**3 + 2*d**2 + 2*d + 1. Let n be c(-1). Let t = 942 + -946. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*b - 27240 = -327*b - 183*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 0, 11*y + 6895 = 14*y + w. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127825832 is divided by 4778.\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176553 is divided by 58445?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*j + 273, 3*j - j - 100 = 5*v. Let p be 649\/j + -11 + 8\/(-10). Solve 8*r + 8 = -p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 56 + 9 + -23 + -25?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 9}. Give prob of picking 1 n and 2 g.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30287 (b) -1\/4 (c) 1\/18 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316820 to the power of 1\/2, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219029.17 - -8316.\nAnswer: -210713.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*n - 1227*n - 4971*n - 1429*n - 2475*n.\nAnswer: -9319*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 1. Suppose 15*c - 80 = 5*c. Calculate the remainder when s(-15) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367859*n**2 - 305408*n + 1 wrt n.\nAnswer: 735718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*13\/(78\/(-16))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.2 and 95.2586 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3048*z**3 + 3043*z**3 + 0*z + 0*z.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/20 - 18*t**2. Let f = -14 - -26. Let m(o) = 16*o + f*o - 22*o. Give j(m(g)).\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (15 - (-10)\/(-2)). Solve 9 = -5*h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 40991.88 kilograms?\nAnswer: 40991880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g**3 + 16*g**2 + 11*g + 1. Let u(a) = -3*a**3 - 3*a**2 - 2*a. Let h be (33\/(-15))\/(2\/(-10)). Give h*u(c) + 2*n(c).\nAnswer: -c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1780 divided by 5.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3159 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiisiiiiiisshhhssih. What is prob of picking 2 h?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x**3 + 35*x**2 - 87*x - 186. Calculate d(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/7)*i)\/i*i**(-4\/7)*(i**(2\/5)\/i)\/i**(-1\/7))**(-7\/4) assuming i is positive.\nAnswer: i**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-14) - (-133)\/(-147). Let d = 2401 - 2400.94. What is the closest to 0 in d, -1\/5, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = 696. Let o be t\/60 + 14\/105. Solve 2*h + o = -4*f + 34, f = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 14*o + 15. Let b be y(12). Let t = b - -11. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061999 is divided by 200.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(13\/3)*a*a**(-20)\/a assuming a is positive.\nAnswer: a**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 divided by 6?\nAnswer: 649\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16*24\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -22*d**3 + 134*d**2 + 2*d + 7. Let w(z) = -16*z**3 + 90*z**2 + z + 5. What is 5*h(t) - 7*w(t)?\nAnswer: 2*t**3 + 40*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = 0, 3*q - 3*g - g - 340 = 0. What is the greatest common divisor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 285*p + 1300.\nAnswer: 5*(p - 52)*(p - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48960838 and 654.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 92. What is the closest to w in -6\/7, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -972, -966, -958, -948, -936, -922?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002265 (base 7) in base 13?\nAnswer: -41c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhahahhhhhhahhh.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000596056 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1230 and 1599.\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/348 + -1 + 2)\/((-2)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 69, -63, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 2413*y**4\/12 + 1081*y**2\/2 + 339*y - 3. Find the first derivative of w(m) wrt m.\nAnswer: 4826*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598)*1 - sqrt(4598) - 1*sqrt(38)*-6)\/((-5*(-2*sqrt(4) - sqrt(4)))\/((sqrt(32)*1 - sqrt(32)) + sqrt(2))) + -1.\nAnswer: -1 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1455 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 695184?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2*f + 3. Let k(n) = n**3 - 4*n**2 - 95*n + 292. Let p be k(3). Let l(b) = b**2 + 2*b - 4. Determine p*l(i) - 3*h(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h - 448. What is the remainder when 6\/4 - 990\/(-12) is divided by b(33)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 171 + 262 - 103 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - ((3*(sqrt(162) + 4 + sqrt(162)))**2 + sqrt(162))))*2 + (5*(sqrt(162) + 2) + sqrt(162))**2 + -2)*-4 + -4.\nAnswer: 5976*sqrt(2) + 24084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/684801 and -4\/38881479?\nAnswer: 349933311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-9)*k)**16 assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005026647 to 4 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.2 - -44. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 8*i - 5*i + 18*i - 136 + 16*i. Let a be w(5). Let y(g) = -11*g - 6. Let x(v) = -21*v - 11. What is a*x(s) - 7*y(s)?\nAnswer: -7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -743143.25 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -365*g + 47803. What is q(131)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r - 2*r**2 + 0*r. Let f(l) = l - 1. Let c(x) = 4*x**2 - 5*x + 5. Let b(q) = 2*c(q) + 10*f(q). What is b(i(h))?\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2574 = -904*p - 24546 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:00 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 17 = -3*b + 6*p, -5*b + p - 19 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -0.5 (c) 0.2972 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 34*w - 90*w + 2 - 9*w - 42*w - 19*w.\nAnswer: -130*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*q**2 + (-2*q - 1 + 1)*(3*q + 3*q - 5*q) + 0*q - q**2 + 0*q + (-1 - 1 + 3)*(0*q + 3*q**2 + 0*q) + 130*q**2 + 40*q**2 - 56*q**2.\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 9*m - 5. What is n(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from 1015878.\nAnswer: 1015854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 7733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -54, 4, -2490, 2, 1.\nAnswer: -2490, -54, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 113442?\nAnswer: 114013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -5*x + 4*s, -5*x + s - 2*s = 157. Let a = -15 - x. Suppose 13*v - a*v + 153 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -79, -193, -353, -559, -811?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdmmdddmmmdd. What is prob of picking 3 d?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342756477.\nAnswer: 151, 8892427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dss when three letters picked without replacement from ddsdddsdsddddssd.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3289*s**2\/3 + 13183*s\/3 + 36 = 0.\nAnswer: -4, -27\/3289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**2 + 31*j**3 - 32*j**3 - 33*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*x + x**2 - 3*x)*(2*x**2 - 4*x**2 - 5*x**2) + 0*x + 0*x - 2*x**4)*(-3 - 5 - 11).\nAnswer: 171*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18106 - -18015) + (-1 - -1 - 1 - -18)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*n - 23*n - 22*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54850 by 54850.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n + 2*t + 138, -5*n = -t + 176. Let i be 2\/2 - n\/(-7). What is the units digit of ((-2)\/i)\/((-2)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 124*q**2 - 125*q - 70. Let y be h(63). Let l(x) = -8*x. What is l(y)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Suppose 3*f + c*h = -2*h + 1097, -4*f = 4*h - 1464. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 410 = -15*k. Suppose -6 = -2*d + k. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.21435mm in centimeters?\nAnswer: 5.721435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 13. Suppose q = -6*y - 573 + 1665. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 39*y**7\/5 - y**6\/60 - 3241*y**3\/3 - 4*y**2 - 330. What is the first derivative of c(p) wrt p?\nAnswer: 6552*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/6 + 371*d\/3 - 137641\/6 = 0.\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*n**2 + 608?\nAnswer: 380*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -451 (b) 5\/3 (c) 96 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*i + 9. Let s be ((-33)\/i)\/((-99)\/30). Let v = 37\/120 + 1\/40. What is the second biggest value in 5, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023202 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -186, 12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*f**2*k**3 - 49*d**2*f*k**3 - 115*d**2*k**3 - 3*d**2 - 74245146*d*f**2*k**3 - 5*d*f*k**3 + 2*f - 131 wrt f.\nAnswer: 4*d**2*k**3 - 148490292*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**3 - l**3 - l**2 + 0*l**3 + 0*l**2 to p + g*l**3 + w*l**2 + s*l and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176662 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242480600 and 38796896?\nAnswer: 969922400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 682?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 772*r**3 + 158*r.\nAnswer: 4632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*d + 129*d - 9 = -4*b, 2*d = 3*b + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:05 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 22.8.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8238896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.59612 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7006 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 l = -3.6 - -3.12. Let o = l - 4.52. What is the nearest to 1\/6 in -0.5, -3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 27*o + 36 + 0 + 0 - 4*o + (o - 2 + 2)*(-4 + 1 + 1) - 2*o + o + 2*o as m*o + l and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/820974 and -53\/70.\nAnswer: 4104870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/2)*n*n)**23\/(((((n**(-5\/2)*n)\/n)\/n)\/n)\/(n\/(n**(-3)*n))))**(-24))**(3\/13) assuming n is positive.\nAnswer: n**(-3024\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 5) to base 16\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g + 3*g + 0*g - 5*g + (2 + 3 - 4)*(3*g - 2*g - 2*g) + 3 - 3 - 2*g + g - 4*g + 2*g)*(-2 - 3 + 8)*(g + 8*g - 6*g).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1701.\nAnswer: -2\/1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14693*b - 8. Let k(z) = -4923*z - 3. Let r(q) = 8*k(q) - 3*v(q). Let f(u) = 5*u**2. Calculate r(f(g)).\nAnswer: 23475*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/(-84) + 114\/21. Let d = s - 37. Which is bigger: d or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -44. Sort 2, d, 3, 5 in increasing order.\nAnswer: d, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -5 (c) 549\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 47541.\nAnswer: -4\/47541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11938 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 + 4. Let m(y) = -28*y**2 - 14. Let a(q) = -7*d(q) - 2*m(q). Let n(u) = 2*u. Determine a(n(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(448)*2)\/(5*((sqrt(4) - sqrt(36)) + sqrt(4)) + (sqrt(48)*-2)\/sqrt(12)).\nAnswer: 40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 != 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2729.\nAnswer: 5\/2729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6923 and 5044889.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 - 8*l - 2. Let h be g(2). Suppose -4*t + 8 = -8. Put h, 5, t in ascending order.\nAnswer: h, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = -2*k + 4*w, 4*k - w - 1089 = -4*w. Let o be 69\/k + 2 + -2. Let y = o + -7\/13. Sort -1\/3, 0, y in decreasing order.\nAnswer: 0, y, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-710)\/(-1065)*57\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 14160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -5437?\nAnswer: -5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 265 and 9.055?\nAnswer: 2399.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*j - 19, 2*v + 2*j + 1 = v. Let m = 5 + 2. Let i = 5 - m. Which is the second smallest value? (a) -2\/7 (b) v (c) -0.1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*v**2 + 8*v**2 + 126*v - 125*v + 165 + 158 wrt v?\nAnswer: 50*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 a when two letters picked without replacement from ttbbttabbnbbbtnbnb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050963801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -72*q - 18. Let f(y) = -42*y - 9. What is -7*f(i) + 4*z(i)?\nAnswer: 6*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, x: 4, j: 3, a: 1}. What is prob of picking 1 x and 2 t?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 199009872*a**2 - a - 279607300 wrt a?\nAnswer: 398019744*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 1 = j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078587.\nAnswer: 3078587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/6 + o**2\/2 - 5*o. Let k(c) be the first derivative of -c**2 + c + 28. Let g(n) = -k(n) - 3*t(n). What is g(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4470*l - 2991. Does 26 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*k + 155 - 65 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72377 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9*q = 8*q - 7, 3*u + 14 = -5*q. Which is the second biggest value? (a) 35 (b) -1 (c) 0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/(-6)*27*3\/15606 and 133\/680.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = -3*c + 51, 2494670*a + 32 = -5*c + 2494674*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 - 2*y + 2. Let g be z(2). Suppose o = -g*o. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 260\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*q + 291 + 50*q**2 + 15*q + 280 wrt q?\nAnswer: 100*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 - -2. Let w = -27656496 + 27656496.19999937. Let l = h + w. What is l rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - 2*t + 4*t)*(t - 6 + 9 + 11) as z*t**2 + j + r*t and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683453 greater than or equal to 14683452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-33)*(f*f**(2\/3))**(2\/25) assuming f is positive.\nAnswer: f**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmdhmsh. Give prob of picking 1 d and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-27))\/(-1)*(-678)\/(-452)*(-594)\/15.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12864.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*j*o - 8*h**2*o - 229*h**2 + 15*h + 705*j*o wrt h?\nAnswer: 4*j*o - 16*o - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2969*a = 6203*a + 11478*a + 354973 + 748427 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -93152?\nAnswer: 93155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644855006 to the nearest integer?\nAnswer: 25394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(t - 3*t + 9*t) + 0*t - 3*t + 5*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432\/(-594)*8*(-23)\/(-736)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 28*q + 33*q - 18 - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 456\/(-9) + 4\/6 - -3. Do -48 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + u**3 + 158 - 14*u**2 - 337 + 154 - u as k + j*u**2 + m*u + p*u**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 + 2*u**3 + 2*u**2 + 24*u + 25. Let j be n(7). Solve -j*a = -15 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32195757511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5885 divided by 1?\nAnswer: -5885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 2*r**5 + 0*r**5 + (-2*r**4 + 4*r**4 - 3*r**4)*(0*r - r + 0*r) + 6*r**5 - 2*r**5 - 2*r**5.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006560277?\nAnswer: 5006560277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, e: 4, i: 2}. What is prob of picking 1 p and 2 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -760427?\nAnswer: 1\/760427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/5 + 184*g**2\/5 - 936*g + 36288\/5 = 0.\nAnswer: 18, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(3168) + -2*sqrt(3168))\/(sqrt(24)\/sqrt(1452) + sqrt(2)).\nAnswer: -264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45 - 5602*o**4 - 2*o**2 + 83 - 678*o - 33 + o**2 wrt o.\nAnswer: -67224*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221297.\nAnswer: 37, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6534 - -56933. List the prime factors of x.\nAnswer: 101, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.59626\nAnswer: 2.38504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/4 + 943629*a\/4 = 0. Calculate a.\nAnswer: 0, 314543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 218. Let q = -64\/3 + w. What is the third smallest value in -0.5, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*z - 91*z - 35*z + 169*z.\nAnswer: 274*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 2. Let k be n(1). Which is bigger: 4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 1\/5, 3.8, -2\/15, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9874.221ml?\nAnswer: 9.874221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -28*m**4 - 1212*m**3 + 4808*m**2 - 3792*m - 1504 = 0.\nAnswer: -47, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -3.2 (c) -21 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + -0.1544. Suppose -30 = 3*n + 2*t, -2*t - 339 + 305 = n. Which is the closest to -0.1? (a) -0.4 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(91)\/sqrt(7))**2 - sqrt(13))*-3.\nAnswer: -18*sqrt(13) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 + 2*n + 147. Let o(m) = -m**3 - 5*m**2 + m - 7. Calculate l(j) - 2*o(j).\nAnswer: j**3 + j**2 + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 + 10*c - 1. Let m(s) = 7*s**2 - 20*s + 2. Let k(o) = 2*m(o) + 5*u(o). Suppose 4*l - 4 = -2*q, 4*q + 2*l = q + 10. Does 11 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.595 and 237009.\nAnswer: -141020.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 199 + 52 = 0. Suppose -o + 34 = -v. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/3 - 2252*m\/3 - 4496\/3 = 0.\nAnswer: -1124, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100110111001010100 (base 2) to base 10\nAnswer: 159316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90219 + 132321 = 3*u - 3*w, -5*w = 3*u - 222540. What is u rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*w + 63*w**3 - 76*w + 3 + 150*w - 598*w**3.\nAnswer: -535*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1318756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5177*a**3 - 217*a. Let j(y) = -119*y**3 + 5*y. Calculate 217*j(z) + 5*w(z).\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*a + 2, 10645 = 3*h - 2*a + 10639 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264731 times -1?\nAnswer: -264731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29169939947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m - 385*m**2 + 10*m + 8*m.\nAnswer: -385*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 42*r**2 - 792*r + 651. Calculate q(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -30. Let f be 62\/z - (-3)\/(-12). Let x(d) = -4*d - 4. Let n be x(f). Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4239*n**2 + 67824*n + 3. What is p(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 182*b**3 + 2*b**2 - 51*b**3.\nAnswer: -233*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185299849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1869 + 1.246\nAnswer: 1870.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717 divided by -12599.\nAnswer: 717\/12599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1148 and -145\/11844.\nAnswer: 485604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3 - 2*i**2 - i + 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -1. Let l be (o + 32\/12)\/((-1)\/3420). What is l rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foy when three letters picked without replacement from yeogyfm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t + 8*t + 10*t. Let a(d) be the first derivative of 7*d**3\/3 + 7. What is a(b(w))?\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -23, -5\/2, 4, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:59 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1610*i + 1618*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.36?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:06 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.986 - -0.014. What is the third biggest value in 0.2, i, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 8*s**2 + 2*s - 19. Let m be j(8). Let b = m - -3. Suppose -2*g + 9 + 9 = b. Is g at most as big as 17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2361150 divided by 787050\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116470998, -116470996, -116470994?\n\"Answer: 2*m - 116471000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.7498 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414565 (base 7) in base 2?\nAnswer: 10001011001111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - m**2 - m**2 + 2*m**2 + 0*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.11, 2\/13, -0.3, -0.103, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100529243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 186.4 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (0 - (-2 + 6)) + -1 + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 - 357*r + 118613\/2.\nAnswer: (r - 451)*(r - 263)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855829 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66)\/sqrt(6) - sqrt(11))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/10)*q*q*((q**(-7)*q*q)\/q)\/q)\/(q**(1\/8)\/(q\/(q\/(q*q*q**(15\/7))))))**(-1\/5) assuming q is positive.\nAnswer: q**(191\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16324*b - 16327*b + 65302*b - 16316*b - 16333*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4995, 3, 150 in descending order.\nAnswer: 4995, 150, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01708 * 1.12.\nAnswer: 0.0191296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 9. Put -2, 36, d in descending order.\nAnswer: 36, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 6701384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12*9\/(-21) - 6\/1\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -33 - 10 - (20 - (10 + -5))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 36*b**2 - 18*b - 5. Let j be c(-12). Let m = j - 202. Let o(g) = -g - 1. Let w(d) = -12. Let q(p) = o(p) - w(p). What is q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6350 = 78*q + 1202. What is the highest common divisor of 198 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n + 15. Let r = 1\/1146 + 571\/2292. Let g(l) = l**2 + 9*l + 15. Let i be g(-5). What is the closest to n in 0.5, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 74 = p - 4*p, -2*l - 132 = 5*p. Is -26 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12\/5))**(-2\/19) assuming t is positive.\nAnswer: t**(24\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13060 + 13035.998. Let a = 0.002 + i. Let g = a - -24.000035. Round g to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1970 or -4?\nAnswer: 1970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca2 + -1a5?\nAnswer: afd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37792\/37 or 0.1?\nAnswer: -37792\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdqlvvqn. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*f + 24, 0*f - 5*f - 3*b + 30 = 0. Suppose -f*v + 6 = 2*u, 4*v + 6 - 3 = u. Solve 0 = n - 4*n + u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 44*s - 134. Calculate u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**3 - 4*p. Let w(b) = 155*b**3 + 45*b. Suppose -2*v = -z + 35, -8 = -3*v + 7. Give z*c(k) + 4*w(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 + 6*h. Let r be a(5). Suppose -5*w + 5*m + 20 = 0, -2*w + 4*w - r*m - 8 = 0. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**2 + 4*i. Let s be x(2). Let v(q) = 3*q - 4. Let t be v(5). What is the greatest common divisor of t and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k**2 - 1 + 1 - 4*k - 24*k**2 to x*k**2 + v + s*k and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9835.745 tonnes in kilograms?\nAnswer: 9835745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 954071197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 1296*r - 1311*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from hjhjkjkjhjjh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 119598 divided by -1286\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8538*j**2 + 3663 - 8536*j**2 + 1018*j - 1015*j as w*j**2 + c*j + r and give r.\nAnswer: 3663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 - 44. Let v = 35 - j. Let q = -48 - v. What is the remainder when 88 is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20790522.40895 - 21478431.408. Let c = d + 687870. Let v = -39 - c. What is v rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f - 1. Let q(p) be the third derivative of -p**5\/60 - p**4\/4 + p**3\/6 + 1504*p**2. What is -5*m(s) - 4*q(s)?\nAnswer: -s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5 + 12. Suppose 5 - d = -3*s. Is s != 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3595*t**5 + 8*t**4 - 7*t**3 + 2067*t**2 - 292?\nAnswer: 215700*t**2 + 192*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122 and 51728?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*l + 12, -5*l - z = -10*l + 26. Solve 3*o + a - 2 = 3*a, 2*o + 17 = l*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -5, 5, -6, 3, -899, 0 in descending order.\nAnswer: 5, 3, 0, -5, -6, -188, -899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 74052*c**2 + 592608*c + 1185344.\nAnswer: -4*(c - 18521)*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three thirds of a hour?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39 and 0.5?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (-687)\/(-18). Let m(a) = -a**2 + 5*a - 2. Let r be m(4). Suppose -j + 23 = -b, -r*j + c + 17 = b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 1, b: 2, w: 4}. Give prob of picking 1 b and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1671.34914693 + -2.2.\nAnswer: 1669.14914693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4\/7 - 44*b**3\/7 - 172*b**2 - 700*b.\nAnswer: 4*b*(b - 25)*(b + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -4. Let n be 2 + g + (-88)\/(-28). Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - -168) + (-1 - 2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*h - 119, 5 - 13 = 4*h. Let r(g) = 2*g**3 + 73*g**2 - 41*g + 71. What is the hundreds digit of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-638)\/(-8) - (-2)\/8. Is 3 + -5 - (-1 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o + 50. Let p be f(-3). Calculate the common denominator of 17 and 694\/30 - (-16)\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(91)\/(sqrt(28)\/sqrt(4)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 711a36 (base 13) to base 7\nAnswer: 31240066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9760701 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) 1.3 (b) -7 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3. Solve -5*l = 4*x - 41, 4*x = a*l + 3 + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*q, -2*f - 82*q = -79*q - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -3.8. Let h = b + 8. Let n be -18 + 0 + (-6031)\/(-326). What is the nearest to -3\/2 in h, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.068, 4 in descending order.\nAnswer: 4, 1\/5, 0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(500) - (sqrt(5) - (sqrt(80) + sqrt(5))) - (3*sqrt(500) + -3))**2 + 2.\nAnswer: -5218 + 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 315673735 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 + 2490*h**2 - 465120*h - 264677760 = 0. Calculate h.\nAnswer: -408, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/42)\/(-2*(-2)\/156). Let y = -5 + 12. Suppose -3*d = -y - 5. Which is the second biggest value? (a) u (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 4, x: 4, d: 1, e: 2}. Give prob of picking 1 d, 1 x, 1 g, and 1 e.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:09 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 107 - 43)*(3*t - 5*t + 3*t).\nAnswer: -154*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-2 - (-3 - 1)). Suppose 0 = s*h - 81 - 25. What is the tens digit of h + (-2 - 2 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**6\/120 + 11*h**5\/30 - 11*h**4\/12 - 5*h**3\/3 - 133*h**2. What are the prime factors of l(11)?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 13*d - 8*d. Suppose -4*r = 4*k + 6 + 6, 4*k + d*r + 8 = 0. Which is smaller: 2\/45 or k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3731031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-8)\/20 + 8952\/30 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (-1 - (13 - 10)). Let b(d) = 5*d - 7. Determine b(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 12) in base 9?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 746 - 3257 + 426 - 7330 + (-2*u + 2*u - u)*(-4*u + 6*u - 4*u) in the form a*u**2 + d*u + x and give x.\nAnswer: -9415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 0.44. What is the closest to -2\/7 in 5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -4\/3*x**3 + 2*x + 3 - 1\/4*x**4 - 1\/2*x**2. Suppose 0 = 5*k + 3*j, 3*j - 6 - 15 = 2*k. Determine i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6837374996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 - -529. List the prime factors of m.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) - 22\/(-4). Suppose -2*a + d*a = 36. List the prime factors of 5\/(-1)*a\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 33 = k + 271, -25*z = -k - 1078 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948622 is divided by 534?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 - 3\/((-9)\/(-30)) and 477?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/30)\/(3\/27). Sort s, -2, 2 in descending order.\nAnswer: s, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 187. Let r be -2 + ((-3)\/(-9) - 60\/(-9)). Sort -4, 2, p, r in descending order.\nAnswer: r, p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 153 = 3*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + 137*p**3 - 148*p**2.\nAnswer: 120*p**3 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621273859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2005 (b) 1\/9 (c) -0.3 (d) 3\/2 (e) -834\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -0.03 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/19208 and 65\/1048208.\nAnswer: 7337456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*y + 10, 12 - 2 = 3*y + 2*x. Solve 2*l + y*h + 21 = 7*l, 16 = 2*l + 3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -194*b + 213*b - 66, -5*i - 2*b = -18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/30037393?\nAnswer: -20\/30037393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 18 = -3*u, 1641*d = 1644*d + 11*u + 60 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -17. Suppose -4*y - j = -4 - 2, 5*j + x = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 238207190?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 5*y**4\/24 + 25*y**2. Let o(v) be the second derivative of v**3 - 3*v. What is 4*o(w) - 5*x(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -61\/2. Let f = 3.2 + -0.2. Let i = 34.52 + -34.5. What is the smallest value in i, f, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1621 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:58 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p, f + 0*f - 4 = 2*p. Suppose 3*o - 5 = -c, -2*o + 5 = f*c + 3. Suppose 3 = -o*d + 11. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 9388043.\nAnswer: 18\/9388043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 12.85, -29 in decreasing order.\nAnswer: 12.85, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -644 - -644.161. What is i rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004171 to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10162 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvlvvlolvlllo. What is prob of picking 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1005 + 4220. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230313 (base 4) in base 5?\nAnswer: -323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (126\/1827 + 1 + (-4)\/(-174)*-219)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 11*p - 11. Let h be -9*(-4)\/6*4. Let y = 14 - h. Let q be s(y). Put 5, 2, q in descending order.\nAnswer: 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 112\/84 - (-58)\/6. Let o be (r - 10) + 2\/(-1) + -2. Let q(h) = h**3 - 2*h**2 + 5*h - 1. Let m(i) = i**3 - 3*i**2 + 5*i - 2. Give o*q(f) + 2*m(f).\nAnswer: -f**3 - 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -316385.49 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9*l + 264. What is the second derivative of -1 - 2*o - 6*o + 36*o**3 - l*o**3 - 11*o**2 - 6*o**2 wrt o?\nAnswer: 18*o - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -2. Let i = -0.065 - -5.065. What is the nearest to m in 0.1, i, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 2*c - 4. Let i be j(-2). Suppose -10*g + 23*g - 312 = 0. Let h = g + i. Solve h = 2*r + 2*w, -4*w = -7*r + 3*r + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110181 + -1209177\/11. Let k = 256 - p. What is the second biggest value in -1, -3, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-2)*2\/(-4). Let c = -0.026 + 0.326. What is the nearest to -0.1 in f, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 527469275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127.23 - -127. Let y = f + 0.23. What is the closest to 2 in y, -0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000262 to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14535 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305*d - 1368*d = -640*d - 27820 - 642 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346\/189 or 2?\nAnswer: 346\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 + 8*g**3\/3 - 11*g**2 - 5*g + 134. Calculate f(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8475595 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -196.7 + 197. Sort r, -0.09, -9.\nAnswer: -9, -0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 108 = 2*p + 2*s, p - 3*s = 62. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 850 in 1\/4, -0.045, 46\/5, -4?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -451396, -902775, -1354138, -1805485?\n\"Answer: 8*f**2 - 451403*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 29*n**2 + 40*n - 482. What is the hundreds digit of s(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 2. Let u(a) = -7. Let c(w) = -8. Let y(i) = -6*c(i) + 7*u(i). Let s be (0 - 1)*(-1 - 1). Let p(d) = s*f(d) + 6*y(d). Factor p(q).\nAnswer: 2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = k + 7*j, -4*k + 78 = -2*j. Find the second derivative of 41*p**3 - 3*p**4 + k - 32*p + 4*p**4 - 17 wrt p.\nAnswer: 12*p**2 + 246*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 2*a - 23*a**3 + 2*a.\nAnswer: -23*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 2*o - 7*o + 0*o. Let n(k) = -2*k**2 + 2*k. What is n(w(t))?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 8416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -717 + 731 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 8*y + 5. Calculate the least common multiple of 50 and s(5).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 59*s**2 - 2*s + 4. Let j = -48 - -45. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 12*q + 29. Let l be x(-3). Solve -6 = -2*c - 2*c + 5*f, -c + 3*f = l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2822 and -15\/67606?\nAnswer: 95392066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648695 (base 12) in base 16?\nAnswer: -45d5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -3) + 4*1. Suppose -2*p = -j*w - 0*p + 58, 4*w + 5*p - 98 = 0. Solve -w + 12 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 2\/(-6))\/((-460)\/(-27452340)).\nAnswer: 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o. Suppose o = -0*h + 2*h. Solve 2*s = -h*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7010.65 to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 173*g + 483. Does 8 divide u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3327651.609439 + 6749320.09048. Let j = -10076977 + f. Let v = j - -5.3. What is v rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)*v**22\/v assuming v is positive.\nAnswer: v**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -55*g**2 - 1540*g - 11. Let t(z) = -z**2 - 35*z. Let b(d) = f(d) - 44*t(d). Let y = 26 + -37. Let w(a) = 5*a**2 + 6. Calculate y*w(m) - 6*b(m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 1773.46?\nAnswer: -1772.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - b82?\nAnswer: -b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4871 - 4470.3. Let x = 400.699997599 - r. Round x to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 1 + 29. Suppose -5*b = -k*y, -4*b - 1 = -3*y - 6. Suppose -190 = -b*d + 5*n, d - 2*d + 54 = -5*n. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8777\/917 - (-2 + 9\/3 + 9)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4.9, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.1 (c) 1\/6 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7580 + 6*n - 7580.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -28 - (0 - (2 + 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005492149554 rounded to 6 dps?\nAnswer: -0.005492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26.638296 months?\nAnswer: 0.02219858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57984747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4585\/360 - 7 - 4 and 76\/81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*u - 2, -2*k - 3*u = -6*u - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*i**2 + 81*i**2 + 18*i**2 + 208*i**2.\nAnswer: 186*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 11 = 59. Let o(m) = m**3 - 36*m**2 - 38*m + 39. Let t be o(37). Let j be t\/5 - i\/30. Calculate the greatest common divisor of 16 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {r: 1, p: 6, a: 1, i: 4, o: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 2*b**2 - 7*b. Let d(n) = -4*n**3 + 2*n**2 + 7*n. Calculate -5*c(v) - 4*d(v).\nAnswer: v**3 + 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*k - 432*k + 437 = 446*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/176*((-7)\/(21\/1476))\/(873\/194).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11. Let u be 129\/(-165) - 2\/(-11). Which is the nearest to -2\/9? (a) p (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 117*m**3 - 1)*(-7*m + 28*m + 12*m) as c + t*m + p*m**2 + a*m**3 + u*m**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9 - 7*b - b - b**2 - b. Suppose 6*s - 2*s = -24. Is 9 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31413 + -4366409\/139. Let j = -0.1 - 0. Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 + 12*k**2 + 0*k - 1\/40*k**5 + 1\/3*k**3 + 1\/120*k**6 - 1\/12*k**4 + 1\/420*k**7. Factor l(f).\nAnswer: (f - 1)**2*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50634 (base 11) in base 15?\nAnswer: -16db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-188)\/20 + (-1 - (-24)\/3). What is the closest to 0.6 in 3, -7, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19*v**5 - 3*v**4 + 3*v**3 + 48*v + 3. Let u(s) = -s**5 - s**4 + s**3 + s + 1. Let z(d) = -2*n(d) + 6*u(d). Find the second derivative of z(b) wrt b.\nAnswer: 640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4272 by -48.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540361798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - 2) - (-24 + 38 - 61)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**0\/d))\/(d\/d**(3\/7))*(d*d\/d**(-1))**(-37)*(d*d\/(d\/d**0)*d*d)**(1\/7)\/(d\/(d*d**(3\/8)*d*d)*d*d**(-2\/11)) assuming d is positive.\nAnswer: d**(-66273\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 129416227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3613666 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(3\/10)\/q)\/(q**11*q))**(-3\/26))**(-17))**(2\/15) assuming q is positive.\nAnswer: q**(-2159\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4*n**2 + 20*n**2 - 6 + 0 to the form g + f*n + t*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 4700598124304?\nAnswer: -4700598124299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 31 + 3\/2*m**2 - 8\/3*m**3 + 4*m. Let a(l) = 16*l**2 - 7*l - 9. Determine 3*a(t) + 7*g(t).\nAnswer: -8*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 697 = -499 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 135. Factor -2\/7 - 2\/7*v + 2\/7*v**o + 2\/7*v**2.\nAnswer: 2*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/8*(-9 - 3). Suppose -62*o + 53*o = -m. Solve -y + 2*l = -4, 0 = 3*y - 2*y + o*l + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -366*t**2 + 33 + 368*t**2 + 15*t**4 + 23 with respect to t.\nAnswer: 60*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -193 (b) -7.8 (c) -3.9 (d) -8 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-10)\/(-120) - (-66416)\/(-4416))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -316*(3 + (-633)\/210). Let r = 33\/7 - o. Suppose -2\/5 - r*x**2 - 3\/5*x = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/540*2)\/((-6854)\/17135))\/(3\/8).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 935, 4, 26 in decreasing order.\nAnswer: 935, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 0 + 17\/6*g**3 - 7*g**2 + g. Let f(z) = 6*z - 5. Suppose 3*u - s + 43 = 12, u - s = -9. What is u*f(i) + 4*w(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850 = -12*h + 10*h. Let v = -286 - h. Suppose -v = -7*i + 29. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5 + 12*h**4 - 26*h**3 + 24*h**2 - 8*h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -n + 3*x + 9, -n = -3*x - 8. Let j be (-7)\/(-2) + 4\/8. Suppose 4*w + 1 = 3*v, 2 + 3 = j*w - v. What is the third biggest value in 4, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 3. Let v be y(-2). Suppose 9 - 3 = 3*i. Let l = v - i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - l**2 + 5*l**2)*(2 + 4 - 1) + (0 + 2 + 0)*(-3*l**2 - 3*l**2 + 5*l**2) to s*l + z*l**2 + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or -207.3?\nAnswer: -207.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 k, and 1 z when four letters picked without replacement from {j: 1, k: 5, v: 2, w: 6, z: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 664*g + 1. Let z be b(5). Let o = 3\/735700 + 2447568797\/735700. Let i = z - o. Calculate the common denominator of -79\/2 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2232333200 (base 4) to base 8\nAnswer: -2567740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394 divided by -8.\nAnswer: 197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - 1631*w**2 - 7*w + 3259*w**2 - 27 - 1628*w**2 to m*w**3 + s*w + b + c*w**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-21)*(-9)\/((-216)\/28)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 - 2b60b?\nAnswer: -2b762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -22, 10, -3503, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:03 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60748128*k*n**3 + 2*k*n**2 - k*n - 6*k - 140*n**2 - 1601 wrt n?\nAnswer: 364488768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1650.\nAnswer: -1\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687415376.\nAnswer: 2, 3, 17, 2067911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 6. Let m(r) = -1. Determine d(s) - 2*m(s).\nAnswer: s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -56283048408071?\nAnswer: -56283048408073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 370\/60) + -2.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -389113.9926 + 389076. Let n = -38 - j. Round n to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-54)*(-2)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127319 is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3699 and 3681.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2058)*-3)\/(sqrt(54) + sqrt(1350)*-3))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = 5*s + 342, -3*n = 4*s + 267. Let q = s + 70. Calculate the remainder when 9 is divided by (-8 - -7)\/(2*q\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q - 30 = 0. Let o be (0\/2)\/((-30)\/q). Suppose -2*c + 357 = -5*t - 151, -t + 2 = o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38540 is divided by 6419.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/99905203 and -37\/732801?\nAnswer: 299715609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 30007?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -114 (b) -1\/13 (c) 1\/8 (d) 2 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0114841 rounded to four decimal places?\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4687, -9372, -14055, -18736, -23415, -28092, -32767?\n\"Answer: j**2 - 4688*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 4. Let d = l + 9. What is the third derivative of d*j**4 - 4*j**4 + j**4 + 3*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = -6*o, 2*o - o + 5*d = 2. Let l(q) = -9 - 3*q + 21*q + 15*q. What is the units digit of l(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*3 + sqrt(19))**2 + 2 - (sqrt(475) + 4).\nAnswer: -5*sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 3. Let h = 6 - 4. Let q be j(h). Suppose -5*m + m + 20 = 0. Which is the biggest value? (a) -2 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 19*u - 3. Let q be b(19). What is the closest to 0.1 in -0.3, q, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 73748, -1\/6, 3 in ascending order.\nAnswer: -3, -1\/6, 3, 73748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 13. Let z(w) = -w**2 - 7*w - 6. Let o = 3 + -7. Let v be z(o). Give h(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22881293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7*g - 9395 = 0, 5*q - 2*g - 46903 = -g. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/113? (a) -3 (b) 2 (c) 9 (d) -0.2 (e) 2\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n*n**(-6))**(-5)*((n**(1\/5)*n)\/n**(-3\/7))**36 assuming n is positive.\nAnswer: n**(3802\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 55. Let p(f) = f**2. Let z(n) = -n**2. Calculate y*z(r) + 6*p(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 - 2 = 0. Let i be 4 + -3 + 4\/d. Suppose -i + 11 = 3*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 335 = -3*j, -j + 725 = 5*a - 870. Suppose -14*u + 9*u + a = 0. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from sspysssfhhps?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2324*u**2. Let v(b) = 9*b**2 - 33*b**2 + 4*b**2 + 5*b**2 + 12*b**2. What is v(m(n))?\nAnswer: -16202928*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-640)\/1680*3\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3, 2332, 6.22, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzzzzkwwzpz. Give prob of sequence wzpk.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2446 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2 + 2*k - 281. Let i(u) = -4*u**3 - 4*u**2 - 9*u + 1123. Calculate 2*i(y) + 9*w(y).\nAnswer: y**3 + y**2 - 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623144.5ml in litres?\nAnswer: 623.1445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8051 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 5.77.\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025.81918 nanoseconds in days?\nAnswer: 0.00000000002344698125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/18*((-48)\/(-10))\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = -3*b + 5, 5*v - 1 = -3*b. Suppose k - 1 - 1 = 0. What is the third derivative of 4*c**b + k*c**4 - c**4 - 2*c**2 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 l, and 1 n when four letters picked without replacement from {l: 3, y: 5, n: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v + 2. Let b be z(1). Let c = -4 + b. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -8*v - 0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -96. Let m be l\/6*1*-3. Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 27 = -17*t + 134. Solve -13*j + t*j - 12 = 4*w, -2*w = 5*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10936086?\nAnswer: 2, 3, 7, 23, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 176273172.\nAnswer: 352546344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-711)\/(-12))\/(3\/(-8))*-2.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 2*n)*(-4*n + 4*n - 4*n)*(-518*n**2 - n + 1 + 517*n**2 + 2*n).\nAnswer: -4*n**4 + 4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55531500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (-27)\/189 + -1 + 61580\/7.\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -294 + 293.9791. What is o rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-1)*(-1)\/(-4). Suppose 0 = -0*f - c*f + 8. Let h = 1.1 - 1.8. What is the third biggest value in f, 2\/7, 0.4, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 - 3)*(-3*c**3 + 3*c**3 + 4*c**5).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.9. Suppose -2*n - n = 0. Let i(o) = o**2 + o - 1. Let j be i(n). What is the biggest value in j, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let n be o(0). Suppose -4*z + 12 = n, -2*z + 7 = 2*d + 1. Let k = 0.3 - 0.2. Which is the closest to d? (a) -1 (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -15 (b) -0.2 (c) 48 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284371\/27 - 10534. Calculate the common denominator of a and -61\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -7. Let x be (m - -1401)*(4 - 124). Round x to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285?\nAnswer: 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -558 + 542. Let s be (-54)\/16 + (-13 - j). Which is the nearest to 2\/5? (a) -0.2 (b) 0 (c) 0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 - 8*c**3 + 104*c**2\/3 - 64*c + 128\/3.\nAnswer: 2*(c - 4)**2*(c - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -201*k + 92*k - 2*k**2 - 10 + 97*k + 0 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 2. Let b be z(7). Let o be (-50)\/(-12) + (-9)\/b. Suppose -4*v = v. Sort v, o, -2 in increasing order.\nAnswer: -2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3268117.06 times -2?\nAnswer: -6536234.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3 + 117. Calculate the least common multiple of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -60*l - 90. Let g(r) = -4*r**3 - 2*r**2 + r. What is the remainder when g(-2) is divided by l*5\/(-125) + (-59)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**7\/420 + u**5\/40 + 2*u**3\/3 - 1. Let m(j) be the third derivative of p(j). Find the second derivative of m(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3673435 by -734687.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003823813 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 6 - (-78 + (140 - 61)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/25 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2211, -5, 188, -1.\nAnswer: -2211, -5, -1, 1, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1167\/568 + 5\/71. Let g = 186 + -124. Calculate the common denominator of -1 + 3 + g\/(-36) and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17183 - -17158. What is the closest to 1\/5 in 4, v, 0.15, 5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3 = 3*t + 8, t = -g + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92608325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11312638\/9 or -1256959?\nAnswer: -11312638\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -10 - 6. Let h = 3.5 + -3. Which is the third smallest value? (a) 0.3 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/3*(-2)\/(-4). Let u be 10*f*(-8)\/(-16). What is the greatest common divisor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(1260) - 1*sqrt(1260) - sqrt(1260))*2)\/(sqrt(180) + ((sqrt(180) - 2*sqrt(180)) + sqrt(180))*3)*2)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(7\/5)*l*l*l)\/l)\/l)\/l**(6\/13))**(-3)*(((l*l\/l**2*l*l)\/l)\/(l*l**(-2)))**(1\/27) assuming l is positive.\nAnswer: l**(-10076\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 42*d - 122. Calculate z(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2580441 and 15?\nAnswer: 12902205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*h - 20*h + 2*h)*(2 - 5 + 1)*(0*h - 2*h + 4*h).\nAnswer: 280*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.51 * -0.07.\nAnswer: -3.6757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 25. What is the closest to 1\/3 in 0.5, -3, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952.056826 rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -23. Let n(c) = -17*c + x*c**2 + 17*c. Let u(p) = 4*p**2. Calculate n(u(f)).\nAnswer: 96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6379105680?\nAnswer: 2, 3, 5, 373, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172521 less than 0.1?\nAnswer: -172520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 56)\/5 + 3. Suppose 0 = 3*o - 2*o - x. Suppose -109 - 35 = -5*g + 2*y, -2 = y. Calculate the remainder when g is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 801547\/30 + -26724. What is the common denominator of -79\/90 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -434 - -309. Let z = m + 123. Let f be 0 + 0 - 3\/2. Which is the smallest value? (a) z (b) 3 (c) 0.19 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 4*k - 114, -197 + 184 = -21*k + 18*k + b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2011469 - 3?\nAnswer: 2011466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) -2\/17 (c) 0.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, 5\/2, -85, 2\/11 in increasing order.\nAnswer: -85, -27, -2, 2\/11, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/4)\/(((s*(s**31\/s*s)\/s*s)\/s*s*s*s)\/s))\/((s**(23\/3)*s)\/(s*s**31)))**29 assuming s is positive.\nAnswer: s**(-3625\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331025?\nAnswer: 5, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 2570954.1253.\nAnswer: 2570950.1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -9*g - 20 + 60 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 401*s - 17 + 31 - 119*s + 23 - 132*s - 133*s. Let x = -6 - -4. Let t(k) = -4*k - 9. Calculate x*j(r) - 9*t(r).\nAnswer: 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*h - h + 30, -2*h = 2*x - 16. Suppose h*b - 14*b = -441. Calculate the remainder when b is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52387, -52391, -52395?\n\"Answer: -4*q - 52383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (19 + 8 - 39)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-346)\/(-14) + 8\/28 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -517576600 to the nearest one hundred thousand.\nAnswer: -517600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4764?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 1509452.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1015 + 3089\/3. Find the common denominator of 3\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmebywt. What is prob of sequence bwe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-one quarters of a gram?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2104 (base 5) in base 9?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78206 is divided by 290.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0.8, -1.\nAnswer: -31, -1, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2209.422 and 78?\nAnswer: 172334.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-12)\/6)\/1)\/(-2 + (-3)\/(-3)). Which is bigger: 1216 or x?\nAnswer: 1216","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*((-2*sqrt(3264))\/sqrt(3)*-1 + (sqrt(1088) + (2*sqrt(1088) - sqrt(1088)))*-1 + 4*(sqrt(1088) + 1)))**2.\nAnswer: 82944*sqrt(17) + 5645376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.72 - 0.52. Let g = -62.032 - -62. Let z = g + -0.038. Which is the third biggest value? (a) m (b) z (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b - 4. Let i(p) = -p - 10. Let z be i(-13). Calculate u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148364 is divided by 249?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deoeyda. Give prob of sequence oea.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -0.8. Which is the nearest to -1? (a) -2\/23 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6)*-4)\/((-4135)\/(-9924)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 - 7140*m + 35750 = 0.\nAnswer: -3575, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:07 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243989200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35204250 by 3215.\nAnswer: 10950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 467 + -390. Calculate the highest common divisor of p and 10087.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - c - 5. Suppose 5 = -4*k - 11. Does 12 divide z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*f - 49 = 0, 0*f - 116 = -4*m + 4*f. Suppose -m = w - 4*w. Suppose -144 = 83*t - 92*t. Calculate the highest common divisor of t and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = m + 4*n, 0*m - 2*m = 2*n - 28. Suppose -4*r + m = -2*r. Suppose 13 = v - r. What is the smallest common multiple of v and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2275403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 1. Let q(x) = 8*x**2 + 3*x - 3. Let s(c) = -3*o(c) + q(c). Let p(w) be the second derivative of w**3\/3 - 2*w. Give s(p(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1542*t + 10. Let h(z) = 966839*z + 6268. What is 5*h(a) - 3134*s(a)?\nAnswer: 1567*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 853*h**4\/6 + 841*h**3\/2 - h**2 + 39. What is the derivative of i(f) wrt f?\nAnswer: 3412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407 + 259. Let w = -244 - k. Let u = -95.999909 - w. What is u rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 2974?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*f + 15 + 271*f + 144*f**4 - 136*f + 92*f**4 to the form l*f**2 + t*f**3 + q*f**4 + g*f + a and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/3))**(-37))**(3\/16))**(-1\/12) assuming u is positive.\nAnswer: u**(-37\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 1068*q**2 - 39*q - 681*q - 1070*q**2.\nAnswer: -2*q**3 - 2*q**2 - 720*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjjxxxjjjxxx. What is prob of sequence jjjx?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-9)\/(-2))*2. Suppose -18*n = -143 - h. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Suppose -5*z + 0*f = 2*f + 39, 2*z + 6 = -a*f. Let h = 20 + z. What is the remainder when 30 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84 - 81)*10\/6. Let j be (-1)\/(((-2)\/(-12))\/(66\/9)). Let f = j - -44. Which is the smallest value? (a) 1\/4 (b) f (c) h (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 3742*s**2\/5 - 1271998*s\/5 + 24148474.\nAnswer: -2*(s - 1465)*(s - 203)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 7*l - 3. Let v be z(-7). Which is the nearest to 0? (a) -0.1 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2 + sqrt(5) + 2 - sqrt(5) - sqrt(5)) + (sqrt(5) - (sqrt(5) - (0 + sqrt(5) + 0))) + sqrt(5) - -6*(2 + sqrt(5)*1 + 0))**2.\nAnswer: 256*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 21. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(475) - 1*sqrt(475)) + 2 - ((2*sqrt(228) - sqrt(57))\/((-1*sqrt(3) - sqrt(3))*-5 + sqrt(3)))**2) + -2.\nAnswer: -776\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(65\/(-10)) + -1 + 1. Suppose -179*l**2 + 9*l**5 + 63*l**3 - 10*l**4 - 41*l**4 + 206*l**t = 0. Calculate l.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1104*y + 165*y = -35561 + 5105 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2. Let j(u) be the third derivative of 0 + 1\/6*u**3 - 3*u**2 + 0*u**4 + 1\/60*u**5 + 0*u. What is -2*j(y) + w(y)?\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 270 in ascending order.\nAnswer: -5, -4, 4, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137221336?\nAnswer: 2, 7, 2450381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s**4 - 4*s**3 + 5*s**2 + 58. Let c(u) = -64*u**4 - 11*u**3 + 14*u**2 + 175. Let k(y) = -4*c(y) + 11*o(y). Differentiate k(n) wrt n.\nAnswer: 100*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.207, 1\/4, 2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 536\/(-402)*4\/(-12)*-12?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586591 is divided by 73.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Let k = 0.8 + 0.1. Let v = -0.9 + k. Which is the nearest to t? (a) 1 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 64.56961 milligrams?\nAnswer: 64569.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3996 or -4000?\nAnswer: -3996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 41*a**7\/7 - 37*a**3\/3 + 3. What is the third derivative of z(d) wrt d?\nAnswer: 4920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.71 - -4.31. Is s less than or equal to 0.015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h**(-4)\/h)\/h*h)\/h*h)\/((h**(10\/3)*h)\/h)*h**8*h\/h**9*h assuming h is positive.\nAnswer: h**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*d - 6888 = -324*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.083 - -40.917. Let v = 39 - f. What is the closest to -0.1 in v, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111.59 times 119\nAnswer: -132279.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/5 - q**4 - 7*q**3\/5 + q**2 + 6*q\/5.\nAnswer: q*(q - 6)*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 32 = t - 57, -4*t = -3*m - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.982 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + 10. Let a = -72 + m. What is the greatest common divisor of 76 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146934656?\nAnswer: 2, 11, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/((-366)\/72 + 5). Suppose 5*n = -4*o + 2701, 13*o - p*n - 2725 = 9*o. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37736128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-20)*5*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:52 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 12*b**2 - 17*b**2 - 74*b - 42.\nAnswer: -2*b**2 - 74*b - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509613\/351 - (-1)\/9?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 6.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140767 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 106*u + 2978. Calculate h(25).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -64. Let q(c) be the second derivative of 0*c**3 - 5\/12*c**4 - 3*c + 0 + y*c**2. Let b(m) = 2*m. What is q(b(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 + 32*x**4 + 52*x**3 - 88*x**2 - 128*x + 128 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219098 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*37876.\nAnswer: 11362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/2)\/h)*h)**(-15)\/(h**(-1\/9)*(h\/((h\/h**(-7))\/h))\/h))\/(h**(2\/9)\/(((h**(-1)*h)\/h)\/h))**(-9\/2) assuming h is positive.\nAnswer: h**(-637\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 332012?\nAnswer: -332101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 17 = -4*z + 5, -2*v - 2*z = -2. Suppose 4144*u**2 - 3*u + 11*u + 4*u**4 - 4158*u**v - u**5 + 3*u**3 = 0. Calculate u.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(1*-56))\/((-1)\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 8*u**2 - 9*u + 18. Calculate q(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 0*o**5 - 10*o**5 + 15*o**5 + (111*o**2 - 6*o**3 - 111*o**2)*(4*o**2 - 3*o**2 + o**2).\nAnswer: -7*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6 - 4. What are the prime factors of (1\/((-4)\/80)*-5)\/f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945 is divided by 650?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45788, 43541, 41294, 39047, 36800?\nAnswer: 34553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 4*t + t - 2*t**2 + 8*t. Let u(i) = 5*i**2 - 11*i. Let a(n) = -7*f(n) - 3*u(n). Let w(q) = -q. Calculate a(w(k)).\nAnswer: 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 39455227*s**2. Let f(r) = -r. Give f(c(y)).\nAnswer: -39455227*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:26 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p + 1128*p + 878*p + 183*p + 32*p in the form r*p + k and give r.\nAnswer: 2215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -388?\nAnswer: 41\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 + 5*t + 10. Let c be w(-4). Solve 6*n = -c*n - 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5488 divided by -1?\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -70005365564.\nAnswer: -70005365580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*w + 395 - 85 = 0, -y = -5*w - 86. Suppose 0 = -60*o + y*o - 4062. List the prime factors of o.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(0*u + 0*u + u**2) + (9*u - 11 + 11)*(u - 2*u + 3*u)*(5 - 4 - 3) as h + n*u + x*u**2 and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 927119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(4\/3)\/a))\/a*a**(1\/11)*a\/a**(-5)*a\/(a\/a**(-2\/5))*a*((a*a\/(a\/((a*a\/(a*a**(1\/3)))\/a)))\/(a\/(a**1\/a)))\/(a**4*a**(-7)) assuming a is positive.\nAnswer: a**(1654\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**2 + 0*d**2 + 3*d**2)*(-3*d**2 + 0*d**2 + 4*d**2) + (-d**3 - 4 + 4)*(6*d - 7*d - 8*d) to b + s*d**4 + n*d**2 + u*d + z*d**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/5)\/b**(-3\/17))\/(b**3)**23)**48 assuming b is positive.\nAnswer: b**(-275904\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4609751992.\nAnswer: 2, 576218999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176855959.\nAnswer: 1176855959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1479*t + 3 - 6*t**2 - 1479*t. Let x(c) = -6*c**2 + c + 5. Let q(n) = 3*o(n) - 2*x(n). Determine q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chu when three letters picked without replacement from {h: 2, u: 3, c: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127759 and 11707.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 8*b - 28. What is the remainder when 140 is divided by l(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 times 12?\nAnswer: 27396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 + 11. What is the remainder when 86 is divided by s(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 times -1902?\nAnswer: 559188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a hour in seconds?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15315697 greater than or equal to -15315698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24602619?\nAnswer: 3, 859, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 12*i**2 - 3*i. Let c be h(6). Let v = 78 + -168. Let s be 1 - v\/5 - -3. What is the highest common factor of s and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 11*k + 6*n - n = -3*k + 10, 0 = 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/48720 and 40\/11.\nAnswer: 535920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 4*x**2 + x**3 - 4*x - 3*x**3 + x**2.\nAnswer: -2*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 10785738*u**4 + 27011806*u**2 wrt u?\nAnswer: -60*u**2 + 258857712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 1)\/(3\/(-3) - -2). Let s be ((-10)\/w)\/((-7)\/(-49)). Solve -s*l = -12*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13593*t + 10102*t - 41155*t.\nAnswer: -44646*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s = -44*s + 1250. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 6 - 5*t**2 + 4*t**2 + 0*t**2. List the prime factors of h(10).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/32)\/((-6)\/4)*(-2296)\/492\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*j - 1902 - 1737 - 841 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 59469757*g - 879580. Let v(t) = 6761*t - 100. Determine 10*m(z) - 87958*v(z).\nAnswer: 13532*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37286387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1043523 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22449591.84661 and -0.02.\nAnswer: -22449591.86661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 76 = q, 2*q - 80 = -3*n - 0*q. Suppose -l + n = l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 + x**2)*(-4 + 2 + 1)*(-2*x + 3 - 3)*(2*x + 0 + 0)*(8 - 90 + 51).\nAnswer: -248*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.92 + 28.92. Let y = -13 - -24. Let n = y - s. Is -0.3 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 63 + 11 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 11*n + 1009. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g + 1. Let q(j) = 6*j**2 - 204*j + 2. Let l(n) = 2*c(n) - q(n). Factor l(z).\nAnswer: -4*z*(z - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20505*f - 20464*f - 246 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*l = -15. Find the second derivative of 0*v**5 + 2*v - 10*v + l*v**5 wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9448146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*o**2 - 1424812*o + 269878098 wrt o?\nAnswer: 68*o - 1424812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - (-30 - 11066\/(-88)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -18.91. Let n = 252 + -251.66. Let o = p + n. What is o rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10673, -10665, -10659, -10655, -10653, -10653, -10655?\n\"Answer: -a**2 + 11*a - 10683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 1 = 6*u. Suppose -4*y + u = -14. Solve j - y = -1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 646. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 + 20745*g**3 - 9274335*g**2 - 18610925*g - 9315840 = 0.\nAnswer: -1, 512, 3639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*k + 2*d, -2*k + 19 = -11*d + 6*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.81402 minus -847.08?\nAnswer: 808.26598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128, 110, 80, 32, -40, -142, -280?\n\"Answer: -r**3 - 11*r + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1107 > -1071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**8\/336 - t**7\/30 - 23*t**6\/8 + 3731*t**5\/60 - 845*t**4\/6 + t**2 + 467. Let d(o) = 0. What is o?\nAnswer: -20, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6880 divided by 86?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11687 and 87464.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -12. Let n = l - -43. Let c(j) = j**2 - 4*j - 6. Calculate the remainder when n is divided by c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 10 = a - 5*p, 0 = -4*a + 2*p + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 9*o**2 + o + 19. Let y be s(-9). Let i = y - -4. What is the highest common factor of i and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 2, a: 3, u: 1, s: 3, t: 2}. What is prob of sequence ut?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -89, 22 in descending order.\nAnswer: 22, 4, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*s + 147 = -67, s - 128 = -4*x. Solve 7*t + x = 68 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 4472. Let v = 2011 - 834. Let r = h - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213664325.\nAnswer: 5, 7, 41, 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 + 3098*r + 3095. Determine c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 12 (b) 194 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130\/3 + 45. What is the second smallest value in 3\/2, f, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26 and 4137358295522?\nAnswer: 4137358295496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 846627 less than 846636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -47, -0.3 in decreasing order.\nAnswer: -0.3, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 40, 6\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85212 and 104148.\nAnswer: 937332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*z + 101*z - 2 = 4*w, 4*z = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30666 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, 2\/11, -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19998 times 318.6\nAnswer: 6371362.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2\/3)))\/q*q\/(q**5*q)*q*(((q\/q**(2\/35))\/q)\/q)\/q**(-18))**(2\/71) assuming q is positive.\nAnswer: q**(2368\/7455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02695 and -0.167.\nAnswer: 0.00450065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -5717*w**4\/2 - 1271*w + 7215. Differentiate o(k) with respect to k.\nAnswer: -34302*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(2 + 0) + 4. Solve -m + w*m - r + 6 = 0, 5*m - 5*r = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*f - 39, 5*f - 3*k + 2*k = 87. Solve -2*i = 5*j + f, 0 = 2*i - 3*j - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 22 = -5*l. Suppose 0*g - 3*g = l*i - 8, 3*g = 3*i - 24. Let f be (56\/(-12) + 10\/2)*30. What is the highest common divisor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -2303268221811?\nAnswer: -2303268221810.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 less than -1.46?\nAnswer: -20.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 7280610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*p = 5, 2*h - 3*h + p = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -60 - 140. Suppose 0 = -4*o + n - 144. Let a be (-56)\/(-10) + o\/(-65). What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = 4*r, 2*m + 0*m + 8 = 4*r. Let z(a) = -57*a**r - 62*a**2 + 6 + 5*a + 127*a**2 + a. Is 20 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-288)*-86 + 3 and -85\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 - 2*x + 2*x - 1840*x**3 - 391.\nAnswer: -1840*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*n, -1 = -3*n + 4*a - 3. Let y be (-6)\/(-1)*(0 + n\/3). Solve y*l - 2*u - 4 = -2, 5*l = -3*u - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 147*r**2 + 289*r + 145. Let h be m(145). Let q(i) = i**2 + 3*i + 12. Let c(x) = 2*x**2 + 4*x + 11. Let u(p) = -2*c(p) + 3*q(p). Give u(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + 22*t - 8. Let r(d) = 140*d + 425. Let l be r(-3). Determine a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 1)*(-44 + 35*c + 44) - 3 + 3 + c.\nAnswer: -174*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(63) + -5)**2.\nAnswer: -90*sqrt(7) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) 2\/17 (b) 2\/19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 0.029 (c) -3 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 + q**3\/6 - 7*q**2\/2 + 19*q. Calculate o(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1666137, -1666116, -1666059, -1665948, -1665765, -1665492, -1665111?\nAnswer: -1664604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 0, -54, -5 in decreasing order.\nAnswer: 8, 0, -2, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001087371 to six decimal places.\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*l - 10 = 0, 4*d - 8*d - 5*l + 23 = 0. Let s = 21.34 + -36.34. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*p = 10, 0 = -4*w + 3*p + 12 + 3. Let v = 385\/6 - 64. Which is the second biggest value? (a) 5 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*u = 11150 - 21671 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*c - 1588, -3*c - 4*r - 2448 + 70 = 0. Let h = c - -3233\/4. Calculate the common denominator of (-15)\/(-48)*((-658)\/(-70))\/1 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 14\/5, -1\/96712, 3, 5, 2\/5?\nAnswer: -1\/96712","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 11 = -4. Let t be (-459)\/(-45) - ((-6)\/(-10))\/3. Factor -18 - 26*l + t*l**2 - 2*l - 5*l**4 - 32*l + 20*l**p - 27.\nAnswer: -5*(l - 3)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 + 28 = 0. Let b(r) = -r**2 + 8*r + 11. What is the units digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 5. Let p be (-12)\/l + (-12)\/(-5). What is the greatest common factor of 15 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5092718 decades?\nAnswer: 0.005092718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22517456 is divided by 882?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1545345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/20 in -1\/6, -47, 27, 1.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 250b39?\nAnswer: 250b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*g + 6, -2*g + 0 + 6 = 3*u. Suppose -o + 1 = 0, -4*f = -u*o - 2*o + 54. Let d = f + 19. Solve 0 = d*h - h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizbiiioioi. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 752, 746, 738?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 416*s + 10816.\nAnswer: 4*(s - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let l(h) = -2*h**2 - 16*h**2 - 12*h**2 - 17*h**2 + 3*h**2 + 23. Determine l(p(f)).\nAnswer: -44*f**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 540*n + 530*n - 120, 0 = -4*s + 2*n - 1 + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -394 (b) 5 (c) -1\/3 (d) 2\/17 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 292 - -4?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.94 - -5. Let z = -0.14 - n. Is 3 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16244089 is divided by 235.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 52. Let u be g(-6). Calculate the greatest common factor of u and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-5 + 4 + 3 + (0 - 3 + 2)*(-3 + 0 + 2) + 2 - 3 + 3 - 2 + 3 - 2 - 20 + 12 - 30)*(0*h + 2*h + 0*h).\nAnswer: 136*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, -17, -11, -3 in increasing order.\nAnswer: -17, -11, -3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*1\/3*-1. Let w = 1079.2 - 1079.6. What is the second biggest value in q, w, -7, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 2, 4, 6, 8, 10?\n\"Answer: 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xghgxllglglnzllxxlx. What is prob of picking 1 h, 1 g, and 2 x?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - ((-2 - 1) + (107 - 97) - 17)) + 17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -132943\/833 > -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**16*c)\/c*c*c**(-2)*c*c\/c**(1\/23)*c*c*c*c**(-3\/5))**15 assuming c is positive.\nAnswer: c**(7713\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 19*o**2 + 2*o + 9. Let f = 8 + 40. Let y = f - 46. Let z(d) = -19*d**2 - 3*d - 8. Let w(g) = y*z(g) + 3*k(g). What is the derivative of w(c) wrt c?\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/120 + (-2)\/(-5) + -7. What are the prime factors of 11073\/12 + 5 + g\/(-4)?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*m - 4*d, -188*d + 1 = 2*m - 185*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Let u(z) = z**2 - 3*z + 3. Let p be u(c). Calculate the common denominator of 242\/36 + 1 - p and -27\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d3038 (base 14) in base 12?\nAnswer: -425062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(2057) + -2 + -2*sqrt(2057))*-3))**2.\nAnswer: 4752*sqrt(17) + 666612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d**4)**33*(d**0*d*d*d)**(-10)*d**(-4)*d**(2\/19) assuming d is positive.\nAnswer: d**(-23318\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let b be -1 + 1 + 0 + 3. Put -2\/9, z, b in increasing order.\nAnswer: -2\/9, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-4)*72\/27. Let z = 28 - t. Solve -144 - 273 + 9*x - 4*x**z + 93 + 63*x = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(3\/9)\/((-28)\/(-147)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/66 and -10\/60357?\nAnswer: 120714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d - 1. What are the prime factors of n(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1182403604*d**5 - 9*d**2 - 22600608*d?\nAnswer: -70944216240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.668 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 + 29*v**2 + 88*v**2 + 65 - 75 + 10.\nAnswer: 106*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 9*a + 5. Let u(y) = 6*y**2 - y. Let h be u(-1). Suppose 8*n - h = 9. Let l(o) = o**2 - 4*o + 2. Determine n*j(g) - 5*l(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, x: 2, b: 3, j: 7, s: 3}. What is prob of picking 1 x and 1 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-44)))\/x*x)**(5\/4)\/(x**(3\/4)*x**(-1\/2)) assuming x is positive.\nAnswer: x**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b. Let k(s) = 1321 - 1321 - 4*s**2. Give k(d(x)).\nAnswer: -256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 9*z**2 + 8*z - 2. Let y be o(8). Suppose -j + 4 = 4*c + 12, 2 = -2*c. Are j and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.069053168 to 4 dps.\nAnswer: -0.0691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/1247 or 1?\nAnswer: 42\/1247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 58004.07 microseconds?\nAnswer: 58004070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 2*f**2 + 9. Let p(u) = -3*u - 1. Let z(r) = r + 3. Let q be z(-7). Calculate the least common multiple of v(0) and p(q).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -15 (c) -0.01 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -202?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -2*a, 3*d - 8*d + 36 = -6*a. Solve 2*k = 3*p - 7, 0 = 2*p + k + d - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2331 and 1190701.\nAnswer: 1188370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 - (-145 - 40\/(-8)) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22358\/(-2)*(-3 - -5)\/2. Let v = 15884 + m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -5. Suppose -15*l + t = -16*l. Let c(k) = -k**2 - 5*k + 3. What is c(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-510)\/(-180))\/((-1)\/9))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k + 20*k - 10*k - 21*k**2 - 43 - k**3 + 17*k. Let q be f(-23). Suppose 2\/13*c**4 + 0 + 4\/13*c**2 + 0*c + 6\/13*c**q = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 708*y**2 - 45696*y - 451584.\nAnswer: -3*(y + 12)*(y + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5943 - 430.\nAnswer: -6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 2 + 0*v**3 + 3 - v**3 wrt v?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*l + 8. Let h be (3*1)\/((-8)\/l). Solve -o + 2 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x - 3. Let w be l(-4). Suppose -15 - 5 = -4*g. List the prime factors of -2 + g - (1 + w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/7)\/n**(-3))\/((n\/(n*n**(-2)\/n*n))\/(n**(-2\/13)*n)))\/(n**(-7)*n\/n**(-3)*n**(-2\/3)\/((n**(-3)\/n)\/n)) assuming n is positive.\nAnswer: n**(-16\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) - (sqrt(700) + 1)) + sqrt(700))**2 - (0 + sqrt(7) + 0)) + -2.\nAnswer: -21*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -0.8.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 42 + 10. Let f(d) = -d**2 + 13*d + 2. Let n be f(u). Suppose -n*z = 2*z. Solve 5*h - 2*h = z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -425.1009 to 0 dps.\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r - 728 = -79*r + 52*r. Solve -r*a - 74 = -45*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -130\/3 + 43. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/272 and (-4)\/(-7) + -3*894\/(-672)?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 13*o**2 + 26*o - 44. Let n be a(11). Suppose 5*h + 16 = -g + 4*g, -2*h - 10 = -3*g. Solve v = 3*r - 5, -g*v = -3*r - n*v + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -5, -3, -2\/19, 2\/63?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1186 * -0.0258\nAnswer: -0.00305988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w - 12 = -25*w. Let g be -3 + -1 - w\/(-1 - -2). Let b(f) = 30*f**2 + 4*f + 1. Is 14 a factor of b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1180503 and 17487.\nAnswer: 79093701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Suppose -5*z + 5 = -2*i, -3*i = -6*i - 3*z - 18. Sort p, 4, 5, i.\nAnswer: i, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*s - 153 = 277*s. What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, j: 7, t: 1, w: 2}. Give prob of sequence trr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 2}. What is prob of sequence jaj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*62\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -601\/7 + 86. Let d(g) = g**2 - 28*g - 59. Let q be d(30). Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8 = 2*c. Suppose -1 = j, -3*f + 2*f - c*j = 0. Suppose 0 = l + f, -8 = -2*p + 3*l - 8*l. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4185 - 4185 + 604*s)*(-4 + 2 - 4).\nAnswer: -3624*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - k**2 + 10*k - 6*k to y*k + d*k**2 + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/((-8)\/(-3462)))\/30. Let y = k + -74\/5. What is the closest to y in 3\/4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.117+0.15\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 632 + -658.7. Let y = m + 24. Let n = y + 3.7. Which is smaller: 1\/2 or n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/10 + 38*h**4\/5 + 5133*h**3\/10 + 4072*h**2\/5 - 625504*h\/5 + 3290112\/5 = 0 for h.\nAnswer: -32, -27, 8, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {k: 5, l: 4, m: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5067 - 0.506704998. Round l to seven dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2854000 to the nearest ten thousand.\nAnswer: -2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*b = 2, 4*y + 3*b - 8 = -0*y. Suppose -y*j + 6 = -j. What is the greatest common factor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 9*x. Let u be t(-8). Suppose -13 = -2*k - f, 4 + u = k - 5*f. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374 - 379. Sort -2\/13, o, 3\/7, -2 in descending order.\nAnswer: 3\/7, -2\/13, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120120110220 (base 3) in base 5?\nAnswer: -34302103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134093410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-5) + 1 + 7. Let x = v - 3. Differentiate 0 + x - 45*q**4 + 47*q**4 with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -28, -3.\nAnswer: -28, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3639.379 plus -0.09314314?\nAnswer: 3639.28585686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/(48\/336).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/388528 and 79\/1554112?\nAnswer: 1554112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-157 + 157 + 51*h)*(-19*h**2 - 47 + 47) to y*h**2 + n*h + d*h**3 + q and give d.\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 432743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 16967139.5.\nAnswer: 16967072.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 + 115. Suppose h = 54*f - 51*f - 1203. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g + 7. Let m(n) = 3*n**2 + 2*n + 18. Let q(z) = 2*m(z) - 5*x(z). Let a(h) = -3*h**2 + 3*h - 1. Determine 2*a(v) + 5*q(v).\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -87. Suppose -13*t = -9*t - i. Suppose t*b + 2*n - 22 = 0, -b - 4*n + 28 = b. What is the smallest common multiple of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -599, -3491, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 86, 146, 228, 338, 482, 666, 896?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/1)\/4)\/((-1458)\/(-1215)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*k, 9 = -n + 2*k - 3. Let v be n*(-165)\/10 - 4. Solve 28 = 5*l + 3*h, -4*l = l + 4*h - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*n - 623*n = -72. Suppose -n*y = -20*y + 1110. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let u = 2.9 + -3. Which is the closest to u? (a) 4 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 8*a**2 + a + 6. Let q(x) = -x**2 - 1. Let y = 167 + -166. Give y*u(d) + 6*q(d).\nAnswer: -3*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 275440950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375 + g**2 + 372 + 45228*g**3 - 6041*g**3.\nAnswer: 39187*g**3 + g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o**2. Let d(x) = 2*x - 16119. Give d(y(v)).\nAnswer: 26*v**2 - 16119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 36*a - 10. Let m = -584 + 589. What is the smallest common multiple of v(m) and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*w + 278 + 127, -w + 81 = -2*a. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*f + 738, o = 3*o + 4*f - 290. Calculate the highest common divisor of o and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2426*n - 2357*n = 1656 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -855258, -855266, -855280, -855300?\nAnswer: -855326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3222 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 15*b - 18. Give p(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 13*a + 40287. Let k = a - -12996. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -929 > 23156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39824\/12155 + -4\/1105. Let p = -52 + 40. Let h = -10 - p. Which is bigger: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Let d(a) = -a**2 + 7*a - 7. Let y be d(5). Suppose -6*h + 24 = -y*h. Solve 3*q + t*b + 8 = -b, q = b - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 82. Let n be s(7). Let x = -83 - n. Solve -5*p = -7*p + x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - a)*(6*a + 2 - 3*a - a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -22*z**3 + 6*z**2 - 14*z - 5. Let s be f(-6). Suppose -r = 4*r + 3*n + s, -3*r + 5*n - 3035 = 0. Round r to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 518 and 84?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*q - d, -55*q - 5*d = -59*q - 12 + 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 241251057 plus 0.15?\nAnswer: 241251057.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5282*t - 5342*t = -152100. Calculate the highest common divisor of 240 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*c + x, 118*x = 5*c + 115*x + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 2*d**2 + 2*d + 2. Let y be t(0). Suppose 0 = -a + y*a + 2, 3*c - 5733 = 3*a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*d = 48, 3*m - 5*d - 1264 + 1190 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from tguxtutiuttutxuu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 4*w + 4*w + (4*w**2 - 4*w**2 - w**3)*(1 + 2 - 5) - 95*w + w**3 + 95*w - 2*w**3 - 3*w**3 + 3*w**3 - 19*w**3 + w**3 - 41*w**3.\nAnswer: -59*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52404 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2)*14*3\/35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 16. Calculate the highest common factor of 25 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(26 - (188475\/294)\/25).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(16) + sqrt(48))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13640 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255) - -1*(1*sqrt(255) - sqrt(255)))\/((sqrt(245) - -2*sqrt(245)) + sqrt(245) - sqrt(245)))\/(6*(sqrt(30)\/(sqrt(5)*-2))\/sqrt(2)).\nAnswer: -sqrt(17)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*b = 256*b + 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-90))\/(8\/9)*(-2 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30644877 to the power of 1\/2, to the nearest integer?\nAnswer: 5536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -52. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13252188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 31 = 2*s. Solve 5*a = -3*u - s + 2, u + 5*a + 17 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 + l - 14. What is q(-5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 6. Let u be o(-5). Let g be 7 - u - 28\/(-18). Let a = -2030 + 10131\/5. What is the third smallest value in -1\/5, g, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 462044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 10*d = -30. What is the common denominator of ((-322)\/575)\/((-2)\/(-10)*d) and -73\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20534180*d. Let y(q) = -4*q**2. Give y(u(t)).\nAnswer: -1686610193089600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 23*y**6\/360 + 5*y**4\/6 - 5*y**3\/3 - 6. Let m(g) be the third derivative of d(g). What is the derivative of m(s) wrt s?\nAnswer: 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + q + 3. Suppose -6*v = -3*v - 24. Is n(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1933*q + 1937. Give a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.050239 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 516 divide 25230371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*-1)\/sqrt(9).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*h + 104900 - 1398222 + 1534. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g - 21*g + 0 + 0.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*5\/25?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 21.9. Let q = 7245.8 - 7246. Which is the nearest to -2\/3? (a) q (b) l (c) -0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-2))\/(1\/(-2)). Let p(t) = 807*t + 0 - 810*t + t**2 + 0. Calculate p(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -q + 2*t + 6, 2*t = -4. Suppose -4*a = -q*a + 16. Suppose a*z - 3*z = -2*y + 5, 4*y = 4*z - 20. Sort -5, y, -3 in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(1 + -1). Suppose -36*l + 28*l = -40. Solve l*c + w + 24 = j, 17 = c - 5*c - 3*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 595*b + 4. Suppose -4 - 2 = -3*i. Let s be a(i). Does 16 divide s\/14 + (-6)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}